diff --git a/Makefile b/Makefile
new file mode 100644
index 000000000..6e0f6b654
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,872 @@
+# Copyright (C) 2008-today The SG++ project
+# This file is part of the SG++ project. For conditions of distribution and
+# use, please see the copyright notice provided with SG++ or at 
+# sgpp.sparsegrids.org
+
+###################################################################
+# Needed Pathes
+###################################################################
+SRCDIR=./../../../src/sgpp
+-I/home/sgsscratch/goehrims/matrixfree-install/include
+#only for extensions:
+#####################
+# Intel Array Building Blocks
+ARBBINCLUDE = /opt/intel/arbb/1.0.0.030/include
+ARBBLIB = /opt/intel/arbb/1.0.0.030/lib/intel64
+# NVidia OpenCL
+CUDAINCLUDE = /usr/local/cuda/include
+CUDALIB = /usr/local/cuda/lib64
+OCLINCLUDE = /usr/local/cuda/include
+OCLLIB = /usr/lib64/
+#OCLINCLUDE = ${CUDATOOLKIT_HOME}/include
+#OCLLIB = /opt/cray/nvidia/default/lib64
+# Intel OpenCL
+#IOCLINCLUDE = /usr/include
+#IOCLLIB = /usr/lib64/OpenCL/vendors/intel
+#IOCLINCLUDE = /etc/alternatives/opencl-headers
+#IOCLLIB = /etc/alternatives/opencl-intel-runtime/lib64
+IOCLINCLUDE = /opt/intel/opencl/include
+IOCLLIB = /opt/intel/opencl/lib64
+# AMD OpenCL
+# AMDOCLINCLUDE = /opt/AMDAPP/include
+# AMDOCLLIB = /opt/AMDAPP/lib/x86_64
+AMDOCLINCLUDE = /lrz/sys/parallel/amdapp/2.7/include
+AMDOCLLIB = /lrz/sys/parallel/amdapp/2.7/lib/x86_64
+# Intel OpenCL, Windows
+IOCLINCLUDEWIN = \"C:\Program Files (x86)\Intel\OpenCL SDK\3.0\include\"
+IOCLLIBWIN = \"C:\Program Files (x86)\Intel\OpenCL SDK\3.0\lib\x64\OpenCL.lib\"
+
+###################################################################
+# Default Variables, overwirtten by CLI
+###################################################################	
+# use OpenMP Version 3
+OMP=1
+# use the TR1 Implementations for Hashmaps
+TR1=0
+# default compiler: g++; possible values: g++, icpc (Intel Compiler)
+CC=g++
+#CC=icpc
+# vectorization option
+#  sse3
+#  sse4
+#  avx
+VEC=sse3
+# extensions, manages extensions to be included, possible values (only when using Intel Compiler):
+#       ArBB - Intel Array Building Blocks support
+#       AMDOCLGPU - AMD GPU OpenCL support
+#       INTELOCL - Intel CPU OpenCL support
+#       INTELOCLGPU - Intel GPU OpenCL support
+#       INTELOCLMIC - Intel MIC OpenCL support (Phi coprocessor)
+#       NVOCL - NVIDIA OpenCL support
+#       MIC_OFFLOAD - Intel MIC coprocessor in offload mode
+#       MIC_NATIVE - compile for native execution on Intel MIC coprocessor
+#       NO - no extensions, default
+EXT=NO
+#	MPI - MPI support
+MPI=0
+# instances used to compile
+JOBS=4
+# Default residual threshold
+SLE_RES_THRESH=-1.0
+# Default number of parallel dimensions for the parallelization of the recursive up down scheme
+UPDOWN_PARADIMS=4
+# Compile for x86, but change vector width to match the one of MIC_NATIVE. This is needed for symmetric MPI execution. This option only has an effect for compilation with mpiicpc.
+X86_MIC_SYMMETRIC=0
+# Enable/Disable Operation Matrix Results
+STORE_OP_MA=0
+# Enable/Disable -ip -ipo
+IPO=0
+
+
+###################################################################
+# Compiler Flags
+###################################################################	
+CFLAGS_GCC:=-Wall -Werror -Wconversion -Wno-deprecated -Wno-long-long -pedantic -ansi -c -O3 -funroll-loops -fno-strict-aliasing -fPIC -mfpmath=sse -I$(SRCDIR)
+LFLAGS_GCC:=-Wall -pedantic -ansi -O3
+
+CFLAGS_ICC:=-Wall -Werror -wd1125 -Wconversion -Wno-deprecated -ipo -ip -ansi -ansi-alias -fp-speculation=safe -c -O3 -funroll-loops -fPIC -I$(SRCDIR)
+LFLAGS_ICC:=-Wall -ipo -ip -ansi -O3
+
+CFLAGS_ICL:=/Wall /Qipo /Qip /Oa /Qansi_alias /Qfp-speculation=safe /c /O3 /Qunroll-aggressive /I$(SRCDIR) /DUSETRONE /Qcxx-features /D_WIN32 /DNOMINMAX
+LFLAGS_ICL:=/Wall /Qipo /Qip /Qansi_alias /O3
+
+ifeq ($(IPO), 0)
+CFLAGS_ICC:=-Wall -Werror -wd1125 -Wconversion -Wno-deprecated -ip -ansi -ansi-alias -fp-speculation=safe -c -O3 -funroll-loops -fPIC -I$(SRCDIR)
+LFLAGS_ICC:=-Wall -ip -ansi -O3
+endif
+
+ifeq ($(EXT), MIC_NATIVE)
+VEC:=""
+endif
+
+ifneq ($(EXT), MIC_OFFLOAD)
+CFLAGS_ICC:=$(CFLAGS_ICC) -no-offload
+LFLAGS_ICC:=$(LFLAGS_ICC) -no-offload
+endif
+
+ifeq ($(STORE_OP_MA), 1)
+CFLAGS_ICC:=$(CFLAGS_ICC) -DSTORE_MATRIX=1
+LFLAGS_ICC:=$(LFLAGS_ICC) -DSTORE_MATRIX=1
+
+CFLAGS_GCC:=$(CFLAGS_GCC) -DSTORE_MATRIX=1
+LFLAGS_GCC:=$(LFLAGS_GCC) -DSTORE_MATRIX=1
+endif
+
+ifeq ($(CC),g++)
+CFLAGS:=$(CFLAGS_GCC)
+LFLAGS:=$(LFLAGS_GCC)
+EXT=NO
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -fopenmp
+LFLAGS:=$(LFLAGS) -fopenmp
+endif
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -mavx2 -mfma
+endif
+ifeq ($(VEC),bd_avx128)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1 -D__USEAVX128__
+endif
+ifeq ($(VEC),bd_avx)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLMIC)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -DUSEOCL_MIC
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -fopenmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), CUDA)
+CFLAGS:=$(CFLAGS) -I$(CUDAINCLUDE) -DUSECUDA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(CUDALIB) -lcudart -fopenmp
+endif
+endif
+
+ifeq ($(CC),icpc)
+CFLAGS:=$(CFLAGS_ICC)
+LFLAGS:=$(LFLAGS_ICC)
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -march=core-avx2 -fma
+endif
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -openmp
+LFLAGS:=$(LFLAGS) -openmp
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -openmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -openmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -openmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -openmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -openmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -openmp
+endif
+ifeq ($(EXT), INTELOCLMIC)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -DUSEOCL_MIC
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -openmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -openmp
+endif
+ifeq ($(EXT), MIC_OFFLOAD)
+CFLAGS:=$(CFLAGS) -no-ipo -no-ip -DUSEMIC -opt-report-phase:offload -openmp-report2 -offload-option,mic,compiler,\"-Wall -ansi -fPIC -c -ansi-alias -O3 -I$(SRCDIR) -openmp -fma -sox -mP2OPT_hlo_enable_all_mem_refs_prefetch -mP2OPT_hlo_pref_loop_based_prefetch=F\"
+LFLAGS:=$(LFLAGS) -no-ipo -no-ip -DUSEMIC -offload-option,mic,link,\"--no-undefined\" 
+XIAR_OPTS:=$(XIAR_OPTS) -qoffload-build
+endif
+ifeq ($(EXT), MIC_NATIVE)
+CFLAGS:=$(CFLAGS) -mmic -DUSEMIC -fma -sox -mP2OPT_hlo_enable_all_mem_refs_prefetch -mP2OPT_hlo_pref_loop_based_prefetch=F -fp-speculation=fast
+LFLAGS:=$(LFLAGS) -mmic
+LIB_OPTS:=-mmic
+endif
+ifeq ($(EXT), CUDA)
+CFLAGS:=$(CFLAGS) -I$(CUDAINCLUDE) -DUSECUDA -openmp
+LFLAGS:=$(LFLAGS) -L$(CUDALIB) -lcudart -openmp
+endif
+endif
+
+ifeq ($(CC),icl)
+CFLAGS:=$(CFLAGS_ICL)
+LFLAGS:=$(LFLAGS_ICL)
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) /arch:SSE3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) /arch:SSE4.2
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) /arch:AVX /D__USEAVX128__
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) /arch:AVX
+endif
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) /Qopenmp
+LFLAGS:=$(LFLAGS) /Qopenmp
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) /I$(OCLINCLUDE) /DUSEOCL /DUSEOCL_NVIDIA /Qopenmp
+LFLAGS:=$(LFLAGS) /L$(OCLLIB) /Qpenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) /I$(IOCLINCLUDEWIN) /DUSEOCL /DUSEOCL_INTEL /Qopenmp /DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) $(IOCLLIBWIN) /Qopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) /I$(IOCLINCLUDEWIN) /DUSEOCL /DUSEOCL_INTEL /Qopenmp
+LFLAGS:=$(LFLAGS) $(IOCLLIBWIN) /Qopenmp
+endif
+ifeq ($(EXT), INTELOCLMIC)
+CFLAGS:=$(CFLAGS) /I$(IOCLINCLUDE) /DUSEOCL /DUSEOCL_INTEL /DUSEOCL_MIC
+LFLAGS:=$(LFLAGS) $(IOCLLIBWIN) /Qopenmp
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) /I$(IOCLINCLUDEWIN) /DUSEOCL /DUSEOCL_INTEL /Qopenmp
+LFLAGS:=$(LFLAGS) /Qopenmp $(IOCLLIBWIN)
+endif
+endif
+
+ifeq ($(CC),mpigxx)
+CFLAGS:=$(CFLAGS_GCC)
+LFLAGS:=$(LFLAGS_GCC)
+CFLAGS:=$(CFLAGS) -DUSE_MPI
+MPI=1
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -fopenmp
+LFLAGS:=$(LFLAGS) -fopenmp
+endif
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -mavx2 -fma
+endif
+ifeq ($(VEC),bd_avx128)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1 -D__USEAVX128__
+endif
+ifeq ($(VEC),bd_avx)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLMIC)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -DUSEOCL_MIC
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -fopenmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -fopenmp
+endif
+endif
+
+ifeq ($(CC),CC)
+CFLAGS:=-target=compute_node $(CFLAGS_GCC)
+LFLAGS:=-target=compute_node $(LFLAGS_GCC)
+CFLAGS:=$(CFLAGS) -DUSE_MPI
+MPI=1
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -fopenmp
+LFLAGS:=$(LFLAGS) -fopenmp
+endif
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -mavx2 -fma
+endif
+ifeq ($(VEC),bd_avx128)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1 -D__USEAVX128__
+endif
+ifeq ($(VEC),bd_avx)
+CFLAGS:=$(CFLAGS) -mavx -mfma4 -mxop -march=bdver1
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -fopenmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -fopenmp
+endif
+endif
+
+
+ifeq ($(CC),mpiicpc)
+CFLAGS:=$(CFLAGS_ICC)
+LFLAGS:=$(LFLAGS_ICC)
+CFLAGS:=$(CFLAGS) -DUSE_MPI
+MPI=1
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -march=core-avx2 -fma
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -openmp
+LFLAGS:=$(LFLAGS) -openmp
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -DUSEOCL_MIC
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -fopenmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), MIC_OFFLOAD)
+CFLAGS:=$(CFLAGS) -no-ipo -no-ip -DUSEMIC -opt-report-phase:offload -openmp-report2 -offload-option,mic,compiler,\"-Wall -ansi -fPIC -c -ansi-alias -O3 -I$(SRCDIR) -openmp -fma -sox -mP2OPT_hlo_enable_all_mem_refs_prefetch -mP2OPT_hlo_pref_loop_based_prefetch=F\"
+LFLAGS:=$(LFLAGS) -no-ipo -no-ip -DUSEMIC -offload-option,mic,link,\"--no-undefined\" 
+XIAR_OPTS:=$(XIAR_OPTS) -qoffload-build
+endif
+ifeq ($(EXT), MIC_NATIVE)
+CFLAGS:=$(CFLAGS) -mmic -DUSEMIC -fma -sox -mP2OPT_hlo_enable_all_mem_refs_prefetch -mP2OPT_hlo_pref_loop_based_prefetch=F -fp-speculation=fast
+LFLAGS:=$(LFLAGS) -mmic
+LIB_OPTS:=-mmic
+endif
+ifeq ($(X86_MIC_SYMMETRIC), 1)
+CFLAGS:=$(CFLAGS) -DX86_MIC_SYMMETRIC -DUSEMIC -DMIC_UNROLLING_WIDTH=96 -DMIC_UNROLLING_WIDTH_SP=192
+endif
+endif
+
+ifeq ($(CC),mpiCC)
+CFLAGS:=$(CFLAGS_ICC)
+LFLAGS:=$(LFLAGS_ICC)
+CFLAGS:=$(CFLAGS) -DUSE_MPI
+MPI=1
+ifeq ($(VEC),sse3)
+CFLAGS:=$(CFLAGS) -msse3
+endif
+ifeq ($(VEC),sse4)
+CFLAGS:=$(CFLAGS) -msse4.2
+endif
+ifeq ($(VEC),avx)
+CFLAGS:=$(CFLAGS) -mavx
+endif
+ifeq ($(VEC),avx2)
+CFLAGS:=$(CFLAGS) -march=core-avx2 -fma
+endif
+ifeq ($(VEC),avx128)
+CFLAGS:=$(CFLAGS) -mavx -D__USEAVX128__
+endif
+ifeq ($(OMP),1)
+CFLAGS:=$(CFLAGS) -openmp
+LFLAGS:=$(LFLAGS) -openmp
+endif
+ifeq ($(TR1),1)
+CFLAGS:=$(CFLAGS) -DUSETRONE -std=c++0x
+endif
+ifeq ($(EXT), ArBB)
+CFLAGS:=$(CFLAGS) -I$(ARBBINCLUDE) -DUSEARBB
+LFLAGS:=$(LFLAGS) -L$(ARBBLIB) -larbb -ltbb
+endif
+ifeq ($(EXT), NVOCL)
+CFLAGS:=$(CFLAGS) -I$(OCLINCLUDE) -DUSEOCL -DUSEOCL_NVIDIA -fopenmp
+LFLAGS:=$(LFLAGS) -L$(OCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCL)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp -DUSEOCL_CPU
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), INTELOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(IOCLINCLUDE) -DUSEOCL -DUSEOCL_INTEL -fopenmp
+LFLAGS:=$(LFLAGS) -L$(IOCLLIB) -lOpenCL -fopenmp
+endif
+ifeq ($(EXT), AMDOCLGPU)
+CFLAGS:=$(CFLAGS) -I$(AMDOCLINCLUDE) -DUSEOCL -DUSEOCL_AMD -fopenmp
+LFLAGS:=$(LFLAGS) -L$(AMDOCLLIB) -lOpenCL -fopenmp
+endif
+endif
+
+CFLAGS:=$(CFLAGS) -DDEFAULT_RES_THRESHOLD=$(SLE_RES_THRESH)
+CFLAGS:=$(CFLAGS) -DTASKS_PARALLEL_UPDOWN=$(UPDOWN_PARADIMS)
+CFLAGS:=$(CFLAGS) -DSG_PARALLEL
+
+###################################################################
+# Builds a lib containing all SG Algorithms
+###################################################################	
+default:
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/sgpplib_gcc
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc" "EXT=$(EXT)"
+endif
+ifeq ($(CC),opencc)
+	mkdir -p tmp/build_native/sgpplib_opencc
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_opencc "CC=/opt/x86_open64-4.2.5.2/bin/$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_opencc" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/sgpplib_icc
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc" "EXT=$(EXT)" "XIAR_OPTS=$(XIAR_OPTS)" "LIB_OPTS=$(LIB_OPTS)"
+endif
+ifeq ($(CC),icl)
+	mkdir -p tmp/build_native/sgpplib_icl
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_icl "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icl" "EXT=$(EXT)"
+endif
+ifeq ($(CC),CC)
+	mkdir -p tmp/build_native/sgpplib_cray
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_cray "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_cray" "EXT=$(EXT)" "MPI=$(MPI)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/sgpplib_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc" "EXT=$(EXT)" "MPI=$(MPI)" "XIAR_OPTS=$(XIAR_OPTS)" "LIB_OPTS=$(LIB_OPTS)"
+endif
+ifeq ($(CC),mpigxx)
+	mkdir -p tmp/build_native/sgpplib_mpigxx
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_mpigxx "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpigxx" "EXT=$(EXT)" "MPI=$(MPI)"
+endif
+ifeq ($(CC),mpiCC)
+	mkdir -p tmp/build_native/sgpplib_ibm
+	make -j $(JOBS) -f ./../../../src/makefileSGppLIB --directory=./tmp/build_native/sgpplib_ibm "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_ibm" "EXT=$(EXT)" "MPI=$(MPI)"
+endif
+
+
+###################################################################
+# Builds a Balck Scholes Solver
+###################################################################	
+BSSolver: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/BSSolver_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolver --directory=./tmp/build_native/BSSolver_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=BSSolver_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/BSSolver_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolver --directory=./tmp/build_native/BSSolver_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=BSSolver_ICC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/BSSolver_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverMPI --directory=./tmp/build_native/BSSolver_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=BSSolver_ICC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpigxx)
+	mkdir -p tmp/build_native/BSSolver_mpigxx
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverMPI --directory=./tmp/build_native/BSSolver_mpigxx "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpigxx.a" "BINNAME=BSSolver_GCC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),CC)
+	mkdir -p tmp/build_native/BSSolver_cray
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverMPI --directory=./tmp/build_native/BSSolver_cray "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_cray.a" "BINNAME=BSSolver_CRAY_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiCC)
+	mkdir -p tmp/build_native/BSSolver_ibm
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverMPI --directory=./tmp/build_native/BSSolver_ibm "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_ibm.a" "BINNAME=BSSolver_IBM_MPI" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a Black Scholes Solver with Stretching
+###################################################################	
+BSSolverWithStretching: default
+
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/BSSolverWithStretching_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverWithStretching --directory=./tmp/build_native/BSSolverWithStretching_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=BSSolverWithStretching_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/BSSolverWithStretching_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBlackScholesSolverWithStretching --directory=./tmp/build_native/BSSolverWithStretching_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=BSSolverWithStretching_ICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a Heston Solver
+####################################################################  
+
+HestonSolver: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/HestonSolver_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHestonSolver --directory=./tmp/build_native/HestonSolver_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=HestonSolver_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/HestonSolver_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHestonSolver --directory=./tmp/build_native/HestonSolver_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=HestonSolver_ICC" "EXT=$(EXT)"
+endif
+#ifeq ($(CC),mpiicpc)   
+#   Not implemented     
+#endif
+
+###################################################################
+# Builds a Hull White Solver
+###################################################################	
+HWSolver: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/HWSolver_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHullWhiteSolver --directory=./tmp/build_native/HWSolver_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=HWSolver_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/HWSolver_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHullWhiteSolver --directory=./tmp/build_native/HWSolver_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=HWSolver_ICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a Hull White combine Black Scholes Solver
+###################################################################	
+BSHWSolver: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/BSHWSolver_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBSHWSolver --directory=./tmp/build_native/BSHWSolver_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=BSHWSolver_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/BSHWSolver_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeBSHWSolver --directory=./tmp/build_native/BSHWSolver_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=BSHWSolver_ICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a simple Heat Equation Solver
+###################################################################	
+HESolver: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/HESolver_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolver --directory=./tmp/build_native/HESolver_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=HESolver_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/HESolver_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolver --directory=./tmp/build_native/HESolver_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=HESolver_ICC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/HESolver_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolverMPI --directory=./tmp/build_native/HESolver_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=HESolver_ICC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpigxx)
+	mkdir -p tmp/build_native/HESolver_mpigxx
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolverMPI --directory=./tmp/build_native/HESolver_mpigxx "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpigxx.a" "BINNAME=HESolver_GCC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiCC)
+	mkdir -p tmp/build_native/HESolver_ibm
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolverMPI --directory=./tmp/build_native/HESolver_ibm "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_ibm.a" "BINNAME=HESolver_IBM_MPI" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a simple Heat Equation Solver (rotating Laser test case)
+###################################################################	
+LaserHESolver2D: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/LaserHESolver2D_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaserHeatEquationSolver --directory=./tmp/build_native/LaserHESolver2D_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=LaserHESolver2D_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/LaserHESolver2D_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaserHeatEquationSolver --directory=./tmp/build_native/LaserHESolver2D_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=LaserHESolver2D_ICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a simple Heat Equation Solver with Stretching
+###################################################################	
+HESolverWithStretching: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/HESolverWithStretching_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolverWithStretching --directory=./tmp/build_native/HESolverWithStretching_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=HESolverWithStretching_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/HESolverWithStretching_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeHeatEquationSolverWithStretching --directory=./tmp/build_native/HESolverWithStretching_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=HESolverWithStretching_ICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a ClassifyBenchmark Application
+###################################################################	
+ClassifyBenchmark: default
+ifeq ($(CC),CC)
+	mkdir -p tmp/build_native/ClassifyBenchmark_cray
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmarkMPI --directory=./tmp/build_native/ClassifyBenchmark_cray "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_cray.a" "BINNAME=ClassifyBenchmark_CRAY_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/ClassifyBenchmark_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmark --directory=./tmp/build_native/ClassifyBenchmark_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=ClassifyBenchmark_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),opencc)
+	mkdir -p tmp/build_native/ClassifyBenchmark_opencc
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmark --directory=./tmp/build_native/ClassifyBenchmark_opencc "CC=/opt/x86_open64-4.2.5.2/bin/$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_opencc.a" "BINNAME=ClassifyBenchmark_OPENCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/ClassifyBenchmark_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmark --directory=./tmp/build_native/ClassifyBenchmark_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=ClassifyBenchmark_ICC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/ClassifyBenchmark_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmarkMPI --directory=./tmp/build_native/ClassifyBenchmark_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=ClassifyBenchmark_ICC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpigxx)
+	mkdir -p tmp/build_native/ClassifyBenchmark_mpigxx
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmarkMPI --directory=./tmp/build_native/ClassifyBenchmark_mpigxx "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpigxx.a" "BINNAME=ClassifyBenchmark_GCC_MPI" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icl)
+	mkdir -p tmp/build_native/ClassifyBenchmark_icl
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmark --directory=./tmp/build_native/ClassifyBenchmark_icl "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icl.lib" "BINNAME=ClassifyBenchmark_ICL.exe" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiCC)
+	mkdir -p tmp/build_native/ClassifyBenchmark_ibm
+	make -j $(JOBS) -f ./../../../src/makefileNativeClassifyBenchmarkMPI --directory=./tmp/build_native/ClassifyBenchmark_ibm "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_ibm.a" "BINNAME=ClassifyBenchmark_IBM_MPI" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a simple LaplaceTest App
+###################################################################	
+LaplaceTest: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/LaplaceTest_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceTest --directory=./tmp/build_native/LaplaceTest_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=LaplaceTest_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/LaplaceTest_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceTest --directory=./tmp/build_native/LaplaceTest_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=LaplaceTest_ICC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/LaplaceTest_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceTestMPI --directory=./tmp/build_native/LaplaceTest_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=LaplaceTest_MPIICC" "EXT=$(EXT)"
+endif
+
+
+###################################################################
+# Builds a simple LTwoDotProductTest App
+###################################################################
+LTwoDotProductTest: default
+ifeq ($(CC),g++)
+	mkdir -p tmp/build_native/LTwoDotProductTest_gcc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLTwoDotProductTest --directory=./tmp/build_native/LTwoDotProductTest_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=LTwoDotProductTest_GCC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),icpc)
+	mkdir -p tmp/build_native/LTwoDotProductTest_icc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLTwoDotProductTest --directory=./tmp/build_native/LTwoDotProductTest_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=LTwoDotProductTest_ICC" "EXT=$(EXT)"
+endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/LTwoDotProductTest_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLTwoDotProductTestMPI --directory=./tmp/build_native/LTwoDotProductTest_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=LTwoDotProductTest_MPIICC" "EXT=$(EXT)"
+endif
+
+###################################################################
+# Builds a simple LaplaceLTwoDotProductTest App
+###################################################################
+LaplaceLTwoDotProductTest: default
+#ifeq ($(CC),g++)
+#	mkdir -p tmp/build_native/LaplaceLTwoDotProductTest_gcc
+#	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceLTwoDotProductTest --directory=./tmp/build_native/LaplaceLTwoDotProductTest_gcc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_gcc.a" "BINNAME=LaplaceLTwoDotProductTest_GCC" "EXT=$(EXT)"
+#endif
+#ifeq ($(CC),icpc)
+#	mkdir -p tmp/build_native/LaplaceLTwoDotProductTest_icc
+#	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceLTwoDotProductTest --directory=./tmp/build_native/LaplaceLTwoDotProductTest_icc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_icc.a" "BINNAME=LaplaceLTwoDotProductTest_ICC" "EXT=$(EXT)"
+#endif
+ifeq ($(CC),mpiicpc)
+	mkdir -p tmp/build_native/LaplaceLTwoDotProductTest_mpiicc
+	make -j $(JOBS) -f ./../../../src/makefileNativeLaplaceLTwoDotProductTestMPI --directory=./tmp/build_native/LaplaceLTwoDotProductTest_mpiicc "CC=$(CC)" "CFLAGS=$(CFLAGS)" "LFLAGS=$(LFLAGS)" "LIBNAME=libsgpp_mpiicc.a" "BINNAME=LaplaceLTwoDotProductTest_MPIICC" "EXT=$(EXT)"
+endif
+
+
+###################################################################
+# test Balck Scholes Solver
+###################################################################	
+		
+test_BS_1d:
+	cd bin; \
+	./copyBSSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolver/1d; \
+	./test_BSSolver_1d.sh;
+	
+test_BS_2d:
+	cd bin; \
+	./copyBSSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolver/2d; \
+	./test_BSSolver_2d.sh;
+		
+test_BS_3d:
+	cd bin; \
+	./copyBSSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolver/3d; \
+	./test_BSSolver_3d.sh;
+	
+test_BS_all: test_BS_1d test_BS_2d test_BS_3d
+	echo "executed all BS tests!"
+
+###################################################################
+# test Black Scholes Solver with Stretching
+###################################################################	
+		
+test_BSS_1d:
+	cd bin; \
+	./copyBSSolverWithStretchingToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolverWithStretching/1d; \
+	./test_BSSolverWithStretching_1d.sh;
+	
+test_BSS_2d:
+	cd bin; \
+	./copyBSSolverWithStretchingToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolverWithStretching/2d; \
+	./test_BSSolverWithStretching_2d.sh;
+		
+test_BSS_3d:
+	cd bin; \
+	./copyBSSolverWithStretchingToTest.sh; \
+	cd ./../tests/CPP_Apps/BSSolverWithStretching/3d; \
+	./test_BSSolverWithStretching_3d.sh;
+	
+test_BSS_all: test_BSS_1d test_BSS_2d test_BSS_3d
+	echo "executed all BS tests!"
+	
+###################################################################
+# test Heston Solver    
+# ###################################################################                     
+
+test_Heston_1d:
+	cd bin; \
+	./copyHestonSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/HestonSolver/1d; \
+	./test_HestonSolver_1d.sh;
+
+test_Heston_2d:
+	cd bin; \
+	./copyHestonSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/HestonSolver/2d; \
+	./test_HestonSolver_2d.sh;
+                                                                        
+test_Heston_all: test_Heston_1d test_Heston_2d
+	echo "executed all Heston tests!"
+                                                                                 	
+###################################################################
+# test Combined Hull Wihte Solver Solver
+###################################################################			
+
+test_BSHW:
+	cd bin; \
+	./copyBSHWSolverToTest.sh; \
+	cd ./../tests/CPP_Apps/BSHWSolver; \
+	./test_BSHWSolver_2d_cart.sh;
+		
+###################################################################
+# test ClassifyBenchmark
+###################################################################	
+
+test_ClassifyBenchmark:
+	cd bin; \
+	./copyClassifyBenchmarkToTest.sh; \
+	cd ./../tests/CPP_Apps/ClassifyBenchmark; \
+	./test_ClassifyBenchmark.sh;
+
+clean:
+	rm -rfv tmp/build_native
diff --git a/adjust_examples.py b/adjust_examples.py
index a60d8bf9f..fe787691e 100755
--- a/adjust_examples.py
+++ b/adjust_examples.py
@@ -9,7 +9,7 @@
 
 dir_path = os.path.dirname(os.path.realpath(__file__))
 GLPK_DIR= str(dir_path) + "/glpk"
-examples = ["combi_example", "combi_example_faults", "gene_distributed", "gene_distributed_linear"]
+examples = ["combi_example", "combi_example_faults", "gene_distributed", "gene_distributed_linear","dealii_example"]
 for example in examples:
     pfilein = open(str(dir_path)+ "/distributedcombigrid/examples/" + example + "/Makefile.template" ,'r')
     temp = pfilein.read()
diff --git a/compile.sh b/compile.sh
index 99b32a233..6bb82ac27 100755
--- a/compile.sh
+++ b/compile.sh
@@ -1,2 +1,2 @@
 export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:$(pwd)/glpk/lib
-scons -j 8 ISGENE=0 VERBOSE=1 COMPILE_BOOST_TESTS=1 RUN_BOOST_TESTS=1 RUN_CPPLINT=0 BUILD_STATICLIB=0 CC=mpicc.mpich FC=mpifort.mpich CXX=mpicxx.mpich OPT=1 TIMING=0 UNIFORMDECOMPOSITION=1 ENABLEFT=0 #DEBUG_OUTPUT=1
\ No newline at end of file
+scons -j 20 ISGENE=0 VERBOSE=1 COMPILE_BOOST_TESTS=1 RUN_BOOST_TESTS=1 RUN_CPPLINT=0 BUILD_STATICLIB=0 CC=mpicc FC=mpifort CXX=mpicxx OPT=1 TIMING=0 UNIFORMDECOMPOSITION=1 ENABLEFT=0 DOC=0  #DEBUG_OUTPUT=1
diff --git a/distributedcombigrid/examples/combi_example/DataConverter.cpp b/distributedcombigrid/examples/combi_example/DataConverter.cpp
new file mode 100644
index 000000000..87a5291d3
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/DataConverter.cpp
@@ -0,0 +1,252 @@
+#include <string>
+#include <vector>
+#include <math.h>
+#include <sstream>
+#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
+
+#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
+#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
+#include <boost/property_tree/ptree.hpp>
+#include <boost/property_tree/json_parser.hpp>
+
+#include "sgpp/distributedcombigrid/utils/Types.hpp"
+#include "DataConverter.hpp"
+
+using namespace combigrid;
+
+
+    Converter::Converter(){};
+    void Converter::toParam(std::string _filename, std::string newname){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root,ini_root,ini_ct, ini_application, ini_manager;
+
+        // Load the json file in this ptree
+        try{
+            pt::read_json(_filename, root);
+            int dimx=root.get<int>("General.DimX");
+            int dimv=root.get<int>("General.DimV");
+            int dim=dimx+dimv;
+            //lmax:
+            int refineX=root.get<int>("Case.NRefinementsX");
+            int refineV=root.get<int>("Case.NRefinementsV");
+            int subX=root.get<int>("Case.NSubdivisionsX.X");
+            int subV=root.get<int>("Case.NSubdivisionsV.X");
+            LevelVector lma;
+
+            //zur Basis 2 hoch beziehen!
+            for(int i=0; i<dimx;i++){
+                lma.push_back(pow(subX*(refineX+1),1.0/3.0)); 
+           }
+            for(int i=0; i<dimx;i++){
+                lma.push_back(pow(1.0/3.0,subV*(refineV+1)));
+            }
+            
+            //lmin=lmax
+
+
+            //ncombi=10
+
+            //p for partitions
+            int partX=root.get<int>("General.PartitionX");
+            int partY=root.get<int>("General.PartitionV");
+            LevelVector p_{partX,partY};
+            
+            //boundary
+            
+            LevelVector bound;
+            for(int i=0;i<dimx;i++){
+                bound.push_back(true);
+            }
+            for(int i=0;i<dimv;i++){
+                bound.push_back(true);
+            }
+            std::string levelString;
+            std::ostringstream vec,p;
+            vec << lma;
+            levelString=vec.str();
+            p<<p_[0]<<" "<<p_[1]<<std::endl;
+            //leval=lmax;
+            ini_ct.put("dim",dim);
+            ini_ct.put("lmin",levelString);
+            ini_ct.put("lmax",levelString);
+            ini_ct.put("leval",levelString);
+            ini_ct.put("p",p.str());
+            ini_ct.put("ncombi",10);
+
+            ini_root.add_child("ct",ini_ct);
+            ini_application.put("dt",0.001);
+            ini_application.put("steps",100);
+            ini_root.add_child("application",ini_application);
+            ini_manager.put("ngroup",2);
+            ini_manager.put("nprocs",1);
+            ini_root.add_child("manager",ini_manager);
+            pt::write_ini(newname,ini_root);
+
+        }
+        catch(pt::json_parser::json_parser_error error){
+            std::cout<< "Not a valid json File";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+    
+    //converts the data from the ini file to a json format and stores the data in newname.json
+    void Converter::toJSON(std::string _fileName, std::string newname){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root;
+        pt::ptree json_root, json_general, json_case, json_SpatialDiscretization, json_TemporalDiscretization, json_postprocessing;
+        pt::ptree jsubX, jsubV,jsout, jVTK;
+        
+        // Load the ini file in this ptree
+        try{
+            pt::read_ini(_fileName, root);
+            std::cout << "Name "<<_fileName;
+            int dim=root.get<int>("ct.dim",2);
+            int dimx=root.get<int>("ct.dimx",dim/2);
+            int dimv=root.get<int>("ct.dimv",dim/2);
+
+            //degree is 1 per default
+            int degx=root.get<int>("ct.degreex",1);
+            int degv=root.get<int>("ct.degreev",1);
+
+            // case is per default hyperrectangle and periodic is per default 
+            //nrefinments is set to 0 and the distribution is controlled via subdivisions
+
+            //lmax:
+            LevelVector lmax(dimx+dimv),p(dimx+dimv);
+            root.get<std::string>("ct.lmax") >> lmax;
+            root.get<std::string>("ct.p") >> p;
+            
+            json_general.put("DimX", dimx);
+            json_general.put("DimV", dimv);
+            json_general.put("DegreeX", degx);
+            json_general.put("DegreeV", degx);
+            json_general.put("PartitionX", p[0]);
+            json_general.put("PartitionV", p[1]);
+            json_general.put("Case","hyperrectangle");
+            json_root.add_child("General", json_general);
+
+            json_case.put("NRefinementsX",0);
+            json_case.put("NRefinementsV",0);
+            json_case.put("PeriodicX",true);
+            json_case.put("PeriodicV",true);
+            jsubX.put("X",pow(2,lmax[0]));
+            jsubX.put("Y",pow(2,lmax[0]));
+            jsubX.put("Z",pow(2,lmax[0]));
+            jsubV.put("X",pow(2,lmax[1]));
+            jsubV.put("Y",pow(2,lmax[1]));
+            jsubV.put("Z",pow(2,lmax[1]));
+            json_case.add_child("NSubdivisionsX",jsubX);
+            json_case.add_child("NSubdivisionsV",jsubV);
+            json_root.add_child("Case", json_case);
+
+            json_SpatialDiscretization.put("TriangulationType","FullyDistributed");
+            json_SpatialDiscretization.put("MappingX",1);
+            json_SpatialDiscretization.put("MappingV",1);
+            json_root.add_child("SpatialDiscretization",json_SpatialDiscretization);
+
+            json_TemporalDiscretization.put("FinalTime",2);
+            json_TemporalDiscretization.put("CFLNumber",0.15);
+            json_root.add_child("TemporalDiscretization",json_TemporalDiscretization);
+            
+            jsout.put("Tick",0.1);
+            json_postprocessing.add_child("StandardOutput",jsout);
+            jVTK.put("Enabled",false);
+            json_postprocessing.add_child("VTK",jVTK);
+            
+            json_root.add_child("Postprocessing", json_postprocessing);
+            pt::write_json(newname,json_root);
+           
+            
+        }
+        catch(pt::ini_parser::ini_parser_error error){
+            std::cout<< "Not a valid file";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+
+    void Converter::toJSON(std::string _fileName, std::string newname,LevelVector l){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root;
+        pt::ptree json_root, json_general, json_case, json_SpatialDiscretization, json_TemporalDiscretization, json_postprocessing;
+        pt::ptree jsubX, jsubV,jsout, jVTK;
+        
+        // Load the ini file in this ptree
+        try{
+            pt::read_ini(_fileName, root);
+            std::cout << "Name "<<_fileName;
+            int dim=root.get<int>("ct.dim",2);
+            int dimx=root.get<int>("ct.dimx",dim/2);
+            int dimv=root.get<int>("ct.dimv",dim/2);
+
+            //degree is 1 per default
+            int degx=root.get<int>("ct.degreex",1);
+            int degv=root.get<int>("ct.degreev",1);
+
+            // case is per default hyperrectangle and periodic is per default 
+            //nrefinments is set to 0 and the distribution is controlled via subdivisions
+
+            //lmax:
+            LevelVector lmax(dimx+dimv),p(dimx+dimv);
+            lmax=l;
+            root.get<std::string>("ct.p") >> p;
+            
+            json_general.put("DimX", dimx);
+            json_general.put("DimV", dimv);
+            json_general.put("DegreeX", degx);
+            json_general.put("DegreeV", degx);
+            json_general.put("PartitionX", p[0]);
+            json_general.put("PartitionV", p[1]);
+            json_general.put("Case","hyperrectangle");
+            json_root.add_child("General", json_general);
+
+            json_case.put("NRefinementsX",0);
+            json_case.put("NRefinementsV",0);
+            json_case.put("PeriodicX",true);
+            json_case.put("PeriodicV",true);
+            jsubX.put("X",pow(2,lmax[0]));
+            jsubX.put("Y",pow(2,lmax[0]));
+            jsubX.put("Z",pow(2,lmax[0]));
+            jsubV.put("X",pow(2,lmax[1]));
+            jsubV.put("Y",pow(2,lmax[1]));
+            jsubV.put("Z",pow(2,lmax[1]));
+            json_case.add_child("NSubdivisionsX",jsubX);
+            json_case.add_child("NSubdivisionsV",jsubV);
+            json_root.add_child("Case", json_case);
+
+            json_SpatialDiscretization.put("TriangulationType","FullyDistributed");
+            json_SpatialDiscretization.put("MappingX",1);
+            json_SpatialDiscretization.put("MappingV",1);
+            json_root.add_child("SpatialDiscretization",json_SpatialDiscretization);
+
+            json_TemporalDiscretization.put("FinalTime",2);
+            json_TemporalDiscretization.put("CFLNumber",0.15);
+            json_root.add_child("TemporalDiscretization",json_TemporalDiscretization);
+            
+            jsout.put("Tick",0.1);
+            json_postprocessing.add_child("StandardOutput",jsout);
+            jVTK.put("Enabled",false);
+            json_postprocessing.add_child("VTK",jVTK);
+            
+            json_root.add_child("Postprocessing", json_postprocessing);
+            pt::write_json(newname,json_root);
+           
+            
+        }
+        catch(pt::ini_parser::ini_parser_error error){
+            std::cout<< "Not a valid File";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+
diff --git a/distributedcombigrid/examples/combi_example/DataConverter.hpp b/distributedcombigrid/examples/combi_example/DataConverter.hpp
new file mode 100644
index 000000000..8b10b6f3f
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/DataConverter.hpp
@@ -0,0 +1,36 @@
+/*
+this function reads in the data from a json file formated like that one from hyperdeal and returns the data 
+we need for a Combi
+
+*/
+
+#ifndef DATACONVERTER_H
+#define DATACONVERTER_H
+
+#include <string>
+#include <vector>
+#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
+
+#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
+#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
+
+#include "sgpp/distributedcombigrid/utils/Types.hpp"
+
+using namespace combigrid;
+
+class Converter{
+    public:
+    
+    Converter();
+    //reads the data from a json file and stores it in param file
+    
+    void toParam(std::string, std::string);
+
+    //reads in data from an ini file and stores it in  newname.json file
+    void toJSON(std::string, std::string);
+
+    //
+    void toJSON(std::string, std::string, LevelVector );
+
+};
+#endif
\ No newline at end of file
diff --git a/distributedcombigrid/examples/combi_example/Make_copy b/distributedcombigrid/examples/combi_example/Make_copy
new file mode 100644
index 000000000..e2ef6ff41
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/Make_copy
@@ -0,0 +1,26 @@
+CC=mpicxx
+CFLAGS=-std=c++14 -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -DUNIFORMDECOMPOSITION
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+DEAL_II_DIR=/home/sgsscratch/goehrims/matrixfree-build
+DEAL_II_INC_DIR=/home/sgsscratch/goehrims/matrixfree
+LD_DEALLII=-L$(DEAL_II_DIR)/lib
+INC_DEALII=-I$(DEAL_II_INC_DIR)/include -I$(DEAL_II_DIR)/include
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LDIR=$(LD_SGPP) $(LD_GLPK) $(LD_DEALII)
+INC=$(INC_SGPP) $(INC_GLPK) $(INC_DEALII)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization
+
+all: combi_example 
+
+combi_example: combi_example.cpp TaskExample.hpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o combi_example combi_example.cpp $(LIBS)
+
+clean:
+	rm -f *.o out/* combi_example
diff --git a/distributedcombigrid/examples/combi_example/Makefile b/distributedcombigrid/examples/combi_example/Makefile
new file mode 100644
index 000000000..77c3462e9
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/Makefile
@@ -0,0 +1,23 @@
+CC=mpicxx
+CFLAGS=-std=c++11 -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -DUNIFORMDECOMPOSITION
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LDIR=$(LD_SGPP) $(LD_GLPK)
+INC=$(INC_SGPP) $(INC_GLPK)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization
+
+all: combi_example 
+
+combi_example: combi_example.cpp TaskExample.hpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o combi_example combi_example.cpp $(LIBS)
+
+clean:
+	rm -f *.o out/* combi_example
diff --git a/distributedcombigrid/examples/combi_example/TaskEnsemble.hpp b/distributedcombigrid/examples/combi_example/TaskEnsemble.hpp
new file mode 100644
index 000000000..82711402c
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/TaskEnsemble.hpp
@@ -0,0 +1,234 @@
+/*
+ * TaskExample.hpp
+ *
+ *  Created on: Sep 25, 2015
+ *      Author: heenemo
+ */
+
+#ifndef TASKEXAMPLE_HPP_
+#define TASKEXAMPLE_HPP_
+
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp"
+#include "sgpp/distributedcombigrid/task/Task.hpp"
+
+namespace combigrid {
+
+class TaskExample : public Task {
+ public:
+  /* if the constructor of the base task class is not sufficient we can provide an
+   * own implementation. here, we add dt, nsteps, and p as a new parameters.
+   */
+  TaskExample(DimType dim, LevelVector& l, std::vector<bool>& boundary, real coeff,
+              LoadModel* loadModel, real dt, size_t nsteps, IndexVector p = IndexVector(0),
+              FaultCriterion* faultCrit = (new StaticFaults({0, IndexVector(0), IndexVector(0)})))
+      : Task(dim, l, boundary, coeff, loadModel, faultCrit),
+        dt_(dt),
+        nsteps_(nsteps),
+        p_(p),
+        initialized_(false),
+        stepsTotal_(0),
+        dfgEnsemble_(nullptr) {}
+
+  void init(CommunicatorType lcomm,
+            std::vector<IndexVector> decomposition = std::vector<IndexVector>()) {
+    assert(!initialized_);
+    assert(dfgEnsemble_ == nullptr);
+
+    int lrank;
+    MPI_Comm_rank(lcomm, &lrank);
+
+    /* create distributed full grid. we try to find a balanced ratio between
+     * the number of grid points and the number of processes per dimension
+     * by this very simple algorithm. to keep things simple we require powers
+     * of two for the number of processes here. */
+    int np;
+    MPI_Comm_size(lcomm, &np);
+
+    // check if power of two
+    if (!((np > 0) && ((np & (~np + 1)) == np)))
+      assert(false && "number of processes not power of two");
+
+    DimType dim = this->getDim();
+    IndexVector p(dim, 1);
+    const LevelVector& l = this->getLevelVector();
+
+    if (p_.size() == 0) {
+      // compute domain decomposition
+      IndexType prod_p(1);
+
+      while (prod_p != static_cast<IndexType>(np)) {
+        DimType dimMaxRatio = 0;
+        real maxRatio = 0.0;
+
+        for (DimType k = 0; k < dim; ++k) {
+          real ratio = std::pow(2.0, l[k]) / p[k];
+
+          if (ratio > maxRatio) {
+            maxRatio = ratio;
+            dimMaxRatio = k;
+          }
+        }
+
+        p[dimMaxRatio] *= 2;
+        prod_p = 1;
+
+        for (DimType k = 0; k < dim; ++k) prod_p *= p[k];
+      }
+    } else {
+      p = p_;
+    }
+
+    if (lrank == 0) {
+      std::cout << "init task " << this->getID() << " with l = " << this->getLevelVector()
+                << " and p = " << p << std::endl;
+    }
+
+    // create local subgrid on each process
+    dfgEnsemble_ = new DFGEnsemble(dim, l, lcomm, this->getBoundary(), p);
+
+    /* loop over local subgrids and set initial values */
+    for (int i = 0; i< dfgEnsemble_->getNumFullGrids(); ++i){
+      auto& dfg = dfgEnsemble_->getDFG(i);
+      std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+      for (size_t i = 0; i < elements.size(); ++i) {
+        IndexType globalLinearIndex = dfg.getGlobalLinearIndex(i);
+        std::vector<real> globalCoords(dim);
+        dfg.getCoordsGlobal(globalLinearIndex, globalCoords);
+        elements[i] = TaskExample::myfunction(globalCoords, 0.0);
+      }
+    }
+
+    initialized_ = true;
+  }
+
+  /* this is were the application code kicks in and all the magic happens.
+   * do whatever you have to do, but make sure that your application uses
+   * only lcomm or a subset of it as communicator.
+   * important: don't forget to set the isFinished flag at the end of the computation.
+   */
+  void run(CommunicatorType lcomm) {
+    assert(initialized_);
+
+    int lrank;
+    MPI_Comm_rank(lcomm, &lrank);
+    // TODO if your Example uses another data structure, you need to copy
+    // the data from elements to that data structure
+
+    /* pseudo timestepping to demonstrate the behaviour of your typical
+     * time-dependent simulation problem. */
+    // TODO replace by your time time stepping algorithm
+
+    for (size_t step = stepsTotal_; step < stepsTotal_ + nsteps_; ++step) {
+      real time = step * dt_;
+
+      for (int i = 0; i< dfgEnsemble_->getNumFullGrids(); ++i){
+        auto& dfg = dfgEnsemble_->getDFG(i);
+        std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+        for (size_t i = 0; i < elements.size(); ++i) {
+          IndexType globalLinearIndex = dfg.getGlobalLinearIndex(i);
+          std::vector<real> globalCoords(this->getDim());
+          dfg.getCoordsGlobal(globalLinearIndex, globalCoords);
+          elements[i] = TaskExample::myfunction(globalCoords, time);
+        }
+      }
+
+      MPI_Barrier(lcomm);
+    }
+
+    stepsTotal_ += nsteps_;
+
+    // TODO if your Example uses another data structure, you need to copy
+    // the data from that data structure to elements/dfg_
+
+    this->setFinished(true);
+  }
+
+  DistributedFullGrid<CombiDataType>& getDistributedFullGrid(int n = 0) { return dfgEnsemble_->getDFG(n); }
+
+  /* this function evaluates the combination solution on a given full grid.
+   * here, a full grid representation of your task's solution has to be created
+   * on the process of lcomm with the rank r.
+   * typically this would require gathering your (in whatever way) distributed
+   * solution on one process and then converting it to the full grid representation.
+   * the DistributedFullGrid class offers a convenient function to do this.
+   */
+  void getFullGrid(FullGrid<CombiDataType>& fg, RankType r, CommunicatorType lcomm, int n = 0) {
+    assert(fg.getLevels() == getDistributedFullGrid(n).getLevels());
+
+    getDistributedFullGrid(n).gatherFullGrid(fg, r);
+  }
+
+  // return the number of grids; here it is the number of grids in ensemble
+  size_t getNumGrids() override { return powerOfTwo[dim_]; }
+
+  static real myfunction(std::vector<real>& coords, real t) {
+    real u = std::cos(M_PI * t);
+
+    for (size_t d = 0; d < coords.size(); ++d) u *= std::cos(2.0 * M_PI * coords[d]);
+
+    return u;
+
+    /*
+    double res = 1.0;
+    for (size_t i = 0; i < coords.size(); ++i) {
+      res *= -4.0 * coords[i] * (coords[i] - 1);
+    }
+
+
+    return res;
+    */
+  }
+
+  void setZero() {}
+
+  ~TaskExample() {
+    if (dfgEnsemble_ != nullptr) delete dfgEnsemble_;
+  }
+
+ protected:
+  /* if there are local variables that have to be initialized at construction
+   * you have to do it here. the worker processes will create the task using
+   * this constructor before overwriting the variables that are set by the
+   * manager. here we need to set the initialized variable to make sure it is
+   * set to false. */
+  TaskExample() : initialized_(false), stepsTotal_(1), dfgEnsemble_(nullptr) {}
+
+ private:
+  friend class boost::serialization::access;
+
+  // new variables that are set by manager. need to be added to serialize
+  real dt_;
+  size_t nsteps_;
+  IndexVector p_;
+
+  // pure local variables that exist only on the worker processes
+  bool initialized_;
+  size_t stepsTotal_;
+  // DistributedFullGrid<CombiDataType>* dfg_;
+  DFGEnsemble* dfgEnsemble_;
+
+  /**
+   * The serialize function has to be extended by the new member variables.
+   * However this concerns only member variables that need to be exchanged
+   * between manager and workers. We do not need to add "local" member variables
+   * that are only needed on either manager or worker processes.
+   * For serialization of the parent class members, the class must be
+   * registered with the BOOST_CLASS_EXPORT macro.
+   */
+  template <class Archive>
+  void serialize(Archive& ar, const unsigned int version) {
+    // handles serialization of base class
+    ar& boost::serialization::base_object<Task>(*this);
+
+    // add our new variables
+    ar& dt_;
+    ar& nsteps_;
+    ar& p_;
+  }
+};
+
+}  // namespace combigrid
+
+#endif /* TASKEXAMPLE_HPP_ */
diff --git a/distributedcombigrid/examples/combi_example/TaskExample.hpp b/distributedcombigrid/examples/combi_example/TaskExample.hpp
index 9f9d46ae2..080418319 100644
--- a/distributedcombigrid/examples/combi_example/TaskExample.hpp
+++ b/distributedcombigrid/examples/combi_example/TaskExample.hpp
@@ -11,6 +11,9 @@
 #include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
 #include "sgpp/distributedcombigrid/task/Task.hpp"
 
+//#include "../../../hyper.deal.combi/include/functionalities/dynamic_convergence_table.h"
+//#include <deal.II/base/timer.h>
+
 namespace combigrid {
 
 class TaskExample : public Task {
@@ -19,7 +22,7 @@ class TaskExample : public Task {
    * own implementation. here, we add dt, nsteps, and p as a new parameters.
    */
   TaskExample(DimType dim, LevelVector& l, std::vector<bool>& boundary, real coeff,
-              LoadModel* loadModel, real dt, size_t nsteps, IndexVector p = IndexVector(0),
+              LoadModel* loadModel,std::string filename,  real dt, size_t nsteps, IndexVector p = IndexVector(0),
               FaultCriterion* faultCrit = (new StaticFaults({0, IndexVector(0), IndexVector(0)})))
       : Task(dim, l, boundary, coeff, loadModel, faultCrit),
         dt_(dt),
@@ -27,6 +30,7 @@ class TaskExample : public Task {
         p_(p),
         initialized_(false),
         stepsTotal_(0),
+        _filename(filename),
         dfg_(NULL) {}
 
   void init(CommunicatorType lcomm,
@@ -88,14 +92,22 @@ class TaskExample : public Task {
 
     /* loop over local subgrid and set initial values */
     std::vector<CombiDataType>& elements = dfg_->getElementVector();
-
+    
     for (size_t i = 0; i < elements.size(); ++i) {
       IndexType globalLinearIndex = dfg_->getGlobalLinearIndex(i);
       std::vector<real> globalCoords(dim);
       dfg_->getCoordsGlobal(globalLinearIndex, globalCoords);
+      
       elements[i] = TaskExample::myfunction(globalCoords, 0.0);
     }
 
+
+    //hyperdeal::DynamicConvergenceTable table;
+    //TODO: size_x und size_v bestimmen
+    //Problem problem(lcomm, size_x, size_v, table);
+    //problem.reinit(_filename);
+
+
     initialized_ = true;
   }
 
@@ -104,20 +116,28 @@ class TaskExample : public Task {
    * only lcomm or a subset of it as communicator.
    * important: don't forget to set the isFinished flag at the end of the computation.
    */
+
+  
   void run(CommunicatorType lcomm) {
     assert(initialized_);
-
-    int lrank;
-    MPI_Comm_rank(lcomm, &lrank);
-
+    std::cout << "Run of Task"<< this->getID()<<std::endl;
     std::vector<CombiDataType>& elements = dfg_->getElementVector();
     // TODO if your Example uses another data structure, you need to copy
     // the data from elements to that data structure
+   
+    //problem.set_result();
+    //problem.reinit_time_integration(stepsTotal_*dt_, (stepsTotal_ + nsteps_)*dt_);
 
-    /* pseudo timestepping to demonstrate the behaviour of your typical
-     * time-dependent simulation problem. */
-    // TODO replace by your time time stepping algorithm
+    // process problem
+    //problem.solve();
+
+    //std::vector<std::array<Number, dim_x + dim_v + 1>> result = problem.get_result();
+// TODO if your Example uses another data structure, you need to copy
+    // the data from that data structure to elements/dfg_
 
+  
+    /* pseudo timestepping to demonstrate the behaviour of your typical
+     * time-dependent simulation problem. 
     for (size_t step = stepsTotal_; step < stepsTotal_ + nsteps_; ++step) {
       real time = step * dt_;
 
@@ -129,13 +149,11 @@ class TaskExample : public Task {
       }
 
       MPI_Barrier(lcomm);
-    }
+    }*/
 
     stepsTotal_ += nsteps_;
 
-    // TODO if your Example uses another data structure, you need to copy
-    // the data from that data structure to elements/dfg_
-
+    
     this->setFinished(true);
   }
 
@@ -156,7 +174,7 @@ class TaskExample : public Task {
 
   static real myfunction(std::vector<real>& coords, real t) {
     real u = std::cos(M_PI * t);
-
+    
     for (size_t d = 0; d < coords.size(); ++d) u *= std::cos(2.0 * M_PI * coords[d]);
 
     return u;
@@ -178,6 +196,7 @@ class TaskExample : public Task {
     if (dfg_ != NULL) delete dfg_;
   }
 
+
  protected:
   /* if there are local variables that have to be initialized at construction
    * you have to do it here. the worker processes will create the task using
@@ -192,6 +211,7 @@ class TaskExample : public Task {
   // new variables that are set by manager. need to be added to serialize
   real dt_;
   size_t nsteps_;
+  std::string _filename;
   IndexVector p_;
 
   // pure local variables that exist only on the worker processes
diff --git a/distributedcombigrid/examples/combi_example/car.sh b/distributedcombigrid/examples/combi_example/car.sh
new file mode 100755
index 000000000..100ae413d
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/car.sh
@@ -0,0 +1,8 @@
+#!/bin/bash
+cd ../../../
+./compile.sh
+cd distributedcombigrid/examples/combi_example
+cp Make_copy Makefile
+make clean
+make
+./run.sh
\ No newline at end of file
diff --git a/distributedcombigrid/examples/combi_example/combi_example.cpp b/distributedcombigrid/examples/combi_example/combi_example.cpp
index bf1b887bd..6f469d56f 100644
--- a/distributedcombigrid/examples/combi_example/combi_example.cpp
+++ b/distributedcombigrid/examples/combi_example/combi_example.cpp
@@ -26,6 +26,8 @@
 #include "sgpp/distributedcombigrid/utils/Types.hpp"
 // include user specific task. this is the interface to your application
 #include "TaskExample.hpp"
+#include "DataConverter.cpp"
+#include "DataConverter.hpp"
 
 using namespace combigrid;
 
@@ -83,8 +85,13 @@ int main(int argc, char** argv) {
     dt = cfg.get<combigrid::real>("application.dt");
     nsteps = cfg.get<size_t>("application.nsteps");
 
-    // todo: read in boundary vector from ctparam
+    Converter converter;
+    converter.toParam("p2.json","ctparam2");
+    converter.toJSON("ctparam","p2.json");
+    // TODO: read in boundary vector from ctparam
     std::vector<bool> boundary(dim, true);
+    // use no hierarchization in this example
+    std::vector<bool> hierarchizationDims(dim, true);
 
     // check whether parallelization vector p agrees with nprocs
     IndexType checkProcs = 1;
@@ -105,18 +112,27 @@ int main(int argc, char** argv) {
     std::cout << "lmax = " << lmax << std::endl;
     std::cout << "CombiScheme: " << std::endl;
     std::cout << combischeme << std::endl;
+    std::cout << "Levels:" << std::endl;
+    //std::cout << levels << std::endl;
 
     // create Tasks
     TaskContainer tasks;
     std::vector<int> taskIDs;
     for (size_t i = 0; i < levels.size(); i++) {
-      Task* t = new TaskExample(dim, levels[i], boundary, coeffs[i], loadmodel.get(), dt, nsteps, p);
+      converter.toJSON("ctparam","p"+std::to_string(i)+".json", levels[i]);
+      Task* t = new TaskExample(dim, levels[i], boundary, coeffs[i], loadmodel.get(),"p"+std::to_string(i)+".json", dt, nsteps, p);
       tasks.push_back(t);
       taskIDs.push_back(t->getID());
     }
 
     // create combiparameters
-    CombiParameters params(dim, lmin, lmax, boundary, levels, coeffs, taskIDs, ncombi, 1);
+    //dim, lmin,lmax kann ich aus json lesen.
+    //boundary i have to read from ct params but how
+    // levels is just array of levels between lim and lmax
+    //taskID for each level we create a new task and here are the IDs
+    CombiParameters params( dim, lmin, lmax, boundary, levels,
+                            coeffs, hierarchizationDims, taskIDs, ncombi, tasks[0]->getNumGrids());//, reduceCombinationDimsLmin, reduceCombinationDimsLmax);
+
     params.setParallelization(p);
     // create abstraction for Manager
     ProcessManager manager(pgroups, tasks, params, std::move(loadmodel));
@@ -140,8 +156,9 @@ int main(int argc, char** argv) {
 
       // evaluate solution and
       // write solution to file
-      std::string filename("out/solution_" + std::to_string(ncombi) + ".dat");
+      std::string filename("out/solution_" + std::to_string(i) + ".out");
       Stats::startEvent("manager write solution");
+      std::cout <<"now paral";
       manager.parallelEval(leval, filename, 0);
       Stats::stopEvent("manager write solution");
 
diff --git a/distributedcombigrid/examples/combi_example/ctparam b/distributedcombigrid/examples/combi_example/ctparam
index 7a0361011..282073893 100644
--- a/distributedcombigrid/examples/combi_example/ctparam
+++ b/distributedcombigrid/examples/combi_example/ctparam
@@ -1,10 +1,10 @@
 [ct]
 dim = 2
-lmin = 3 3 
-lmax = 10 10  
-leval = 5 5 
-p = 1 2
-ncombi = 10
+lmin = 2 2 
+lmax = 4 5
+leval = 5 5
+p = 1 1
+ncombi = 1
 
 [application]
 dt = 1e-3
@@ -12,4 +12,4 @@ nsteps = 100
 
 [manager]
 ngroup = 2
-nprocs = 2 
+nprocs = 1
diff --git a/distributedcombigrid/examples/combi_example/ctparam2 b/distributedcombigrid/examples/combi_example/ctparam2
new file mode 100644
index 000000000..b6e46c740
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/ctparam2
@@ -0,0 +1,14 @@
+[ct]
+dim=2
+lmin=[1 0 ]
+lmax=[1 0 ]
+leval=[1 0 ]
+p=1 1
+
+ncombi=10
+[application]
+dt=0.001
+steps=100
+[manager]
+ngroup=2
+nprocs=1
diff --git a/distributedcombigrid/examples/combi_example/out/solution.dat b/distributedcombigrid/examples/combi_example/out/solution.dat
deleted file mode 100644
index 3eb9c2e26..000000000
--- a/distributedcombigrid/examples/combi_example/out/solution.dat
+++ /dev/null
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-0.8125	0.4375	0.353553
-0.875	0.4375	0.653281
-0.9375	0.4375	0.853553
-1	0.4375	0.92388
-
-0	0.5	1
-0.0625	0.5	0.92388
-0.125	0.5	0.707107
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-0.3125	0.5	-0.382683
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-0.5625	0.5	-0.92388
-0.625	0.5	-0.707107
-0.6875	0.5	-0.382683
-0.75	0.5	-2.22045e-16
-0.8125	0.5	0.382683
-0.875	0.5	0.707107
-0.9375	0.5	0.92388
-1	0.5	1
-
-0	0.5625	0.92388
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-0.125	0.5625	0.653281
-0.1875	0.5625	0.353553
-0.25	0.5625	2.08167e-17
-0.3125	0.5625	-0.353553
-0.375	0.5625	-0.653281
-0.4375	0.5625	-0.853553
-0.5	0.5625	-0.92388
-0.5625	0.5625	-0.853553
-0.625	0.5625	-0.653281
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-0.75	0.5625	-2.01228e-16
-0.8125	0.5625	0.353553
-0.875	0.5625	0.653281
-0.9375	0.5625	0.853553
-1	0.5625	0.92388
-
-0	0.625	0.707107
-0.0625	0.625	0.653281
-0.125	0.625	0.5
-0.1875	0.625	0.270598
-0.25	0.625	4.16334e-17
-0.3125	0.625	-0.270598
-0.375	0.625	-0.5
-0.4375	0.625	-0.653281
-0.5	0.625	-0.707107
-0.5625	0.625	-0.653281
-0.625	0.625	-0.5
-0.6875	0.625	-0.270598
-0.75	0.625	-1.249e-16
-0.8125	0.625	0.270598
-0.875	0.625	0.5
-0.9375	0.625	0.653281
-1	0.625	0.707107
-
-0	0.6875	0.382683
-0.0625	0.6875	0.353553
-0.125	0.6875	0.270598
-0.1875	0.6875	0.146447
-0.25	0.6875	2.08167e-17
-0.3125	0.6875	-0.146447
-0.375	0.6875	-0.270598
-0.4375	0.6875	-0.353553
-0.5	0.6875	-0.382683
-0.5625	0.6875	-0.353553
-0.625	0.6875	-0.270598
-0.6875	0.6875	-0.146447
-0.75	0.6875	-9.02056e-17
-0.8125	0.6875	0.146447
-0.875	0.6875	0.270598
-0.9375	0.6875	0.353553
-1	0.6875	0.382683
-
-0	0.75	2.22045e-16
-0.0625	0.75	1.11022e-16
-0.125	0.75	1.11022e-16
-0.1875	0.75	8.32667e-17
-0.25	0.75	1.2326e-32
-0.3125	0.75	-2.77556e-17
-0.375	0.75	-1.11022e-16
-0.4375	0.75	-1.11022e-16
-0.5	0.75	-2.22045e-16
-0.5625	0.75	-1.66533e-16
-0.625	0.75	-5.55112e-17
-0.6875	0.75	-2.77556e-17
-0.75	0.75	-4.93038e-32
-0.8125	0.75	2.77556e-17
-0.875	0.75	5.55112e-17
-0.9375	0.75	1.66533e-16
-1	0.75	2.22045e-16
-
-0	0.8125	-0.382683
-0.0625	0.8125	-0.353553
-0.125	0.8125	-0.270598
-0.1875	0.8125	-0.146447
-0.25	0.8125	-1.38778e-17
-0.3125	0.8125	0.146447
-0.375	0.8125	0.270598
-0.4375	0.8125	0.353553
-0.5	0.8125	0.382683
-0.5625	0.8125	0.353553
-0.625	0.8125	0.270598
-0.6875	0.8125	0.146447
-0.75	0.8125	9.71445e-17
-0.8125	0.8125	-0.146447
-0.875	0.8125	-0.270598
-0.9375	0.8125	-0.353553
-1	0.8125	-0.382683
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-0	0.875	-0.707107
-0.0625	0.875	-0.653281
-0.125	0.875	-0.5
-0.1875	0.875	-0.270598
-0.25	0.875	-2.77556e-17
-0.3125	0.875	0.270598
-0.375	0.875	0.5
-0.4375	0.875	0.653281
-0.5	0.875	0.707107
-0.5625	0.875	0.653281
-0.625	0.875	0.5
-0.6875	0.875	0.270598
-0.75	0.875	1.38778e-16
-0.8125	0.875	-0.270598
-0.875	0.875	-0.5
-0.9375	0.875	-0.653281
-1	0.875	-0.707107
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-0	0.9375	-0.92388
-0.0625	0.9375	-0.853553
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-0.3125	0.9375	0.353553
-0.375	0.9375	0.653281
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-0	1	-1
-0.0625	1	-0.92388
-0.125	1	-0.707107
-0.1875	1	-0.382683
-0.25	1	0
-0.3125	1	0.382683
-0.375	1	0.707107
-0.4375	1	0.92388
-0.5	1	1
-0.5625	1	0.92388
-0.625	1	0.707107
-0.6875	1	0.382683
-0.75	1	2.22045e-16
-0.8125	1	-0.382683
-0.875	1	-0.707107
-0.9375	1	-0.92388
-1	1	-1
-
-
diff --git a/distributedcombigrid/examples/combi_example/out/solution_1.dat0 b/distributedcombigrid/examples/combi_example/out/solution_1.dat0
new file mode 100644
index 000000000..920b27510
Binary files /dev/null and b/distributedcombigrid/examples/combi_example/out/solution_1.dat0 differ
diff --git a/distributedcombigrid/examples/combi_example/p0.json b/distributedcombigrid/examples/combi_example/p0.json
new file mode 100644
index 000000000..039d753e4
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p0.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        },
+        "NSubdivisionsV": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p1.json b/distributedcombigrid/examples/combi_example/p1.json
new file mode 100644
index 000000000..28c276819
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p1.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "16",
+            "Y": "16",
+            "Z": "16"
+        },
+        "NSubdivisionsV": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p10.json b/distributedcombigrid/examples/combi_example/p10.json
new file mode 100644
index 000000000..5d11febc9
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p10.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "16",
+            "Y": "16",
+            "Z": "16"
+        },
+        "NSubdivisionsV": {
+            "X": "256",
+            "Y": "256",
+            "Z": "256"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p11.json b/distributedcombigrid/examples/combi_example/p11.json
new file mode 100644
index 000000000..449b9753b
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p11.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "32",
+            "Y": "32",
+            "Z": "32"
+        },
+        "NSubdivisionsV": {
+            "X": "256",
+            "Y": "256",
+            "Z": "256"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p12.json b/distributedcombigrid/examples/combi_example/p12.json
new file mode 100644
index 000000000..dc1dee61d
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p12.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        },
+        "NSubdivisionsV": {
+            "X": "512",
+            "Y": "512",
+            "Z": "512"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p13.json b/distributedcombigrid/examples/combi_example/p13.json
new file mode 100644
index 000000000..2bacf9fb7
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p13.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "16",
+            "Y": "16",
+            "Z": "16"
+        },
+        "NSubdivisionsV": {
+            "X": "512",
+            "Y": "512",
+            "Z": "512"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p14.json b/distributedcombigrid/examples/combi_example/p14.json
new file mode 100644
index 000000000..0afd4b3fe
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p14.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        },
+        "NSubdivisionsV": {
+            "X": "1024",
+            "Y": "1024",
+            "Z": "1024"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p2.json b/distributedcombigrid/examples/combi_example/p2.json
new file mode 100644
index 000000000..d94646bb3
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p2.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "4",
+            "Y": "4",
+            "Z": "4"
+        },
+        "NSubdivisionsV": {
+            "X": "16",
+            "Y": "16",
+            "Z": "16"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p3.json b/distributedcombigrid/examples/combi_example/p3.json
new file mode 100644
index 000000000..3a58831e2
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p3.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "8",
+            "Y": "8",
+            "Z": "8"
+        },
+        "NSubdivisionsV": {
+            "X": "16",
+            "Y": "16",
+            "Z": "16"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p4.json b/distributedcombigrid/examples/combi_example/p4.json
new file mode 100644
index 000000000..565cc851d
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p4.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "4",
+            "Y": "4",
+            "Z": "4"
+        },
+        "NSubdivisionsV": {
+            "X": "32",
+            "Y": "32",
+            "Z": "32"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p5.json b/distributedcombigrid/examples/combi_example/p5.json
new file mode 100644
index 000000000..0b3d86b9d
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p5.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "256",
+            "Y": "256",
+            "Z": "256"
+        },
+        "NSubdivisionsV": {
+            "X": "32",
+            "Y": "32",
+            "Z": "32"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p6.json b/distributedcombigrid/examples/combi_example/p6.json
new file mode 100644
index 000000000..d305fc50b
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p6.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "64",
+            "Y": "64",
+            "Z": "64"
+        },
+        "NSubdivisionsV": {
+            "X": "64",
+            "Y": "64",
+            "Z": "64"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p7.json b/distributedcombigrid/examples/combi_example/p7.json
new file mode 100644
index 000000000..6552947c4
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p7.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "128",
+            "Y": "128",
+            "Z": "128"
+        },
+        "NSubdivisionsV": {
+            "X": "64",
+            "Y": "64",
+            "Z": "64"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p8.json b/distributedcombigrid/examples/combi_example/p8.json
new file mode 100644
index 000000000..11c97aff3
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p8.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "32",
+            "Y": "32",
+            "Z": "32"
+        },
+        "NSubdivisionsV": {
+            "X": "128",
+            "Y": "128",
+            "Z": "128"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example/p9.json b/distributedcombigrid/examples/combi_example/p9.json
new file mode 100644
index 000000000..73d946ac8
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example/p9.json
@@ -0,0 +1,44 @@
+{
+    "General": {
+        "DimX": "1",
+        "DimV": "1",
+        "DegreeX": "1",
+        "DegreeV": "1",
+        "PartitionX": "1",
+        "PartitionV": "1",
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinementsX": "0",
+        "NRefinementsV": "0",
+        "PeriodicX": "true",
+        "PeriodicV": "true",
+        "NSubdivisionsX": {
+            "X": "64",
+            "Y": "64",
+            "Z": "64"
+        },
+        "NSubdivisionsV": {
+            "X": "128",
+            "Y": "128",
+            "Z": "128"
+        }
+    },
+    "SpatialDiscretization": {
+        "TriangulationType": "FullyDistributed",
+        "MappingX": "1",
+        "MappingV": "1"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": "2",
+        "CFLNumber": "0.14999999999999999"
+    },
+    "Postprocessing": {
+        "StandardOutput": {
+            "Tick": "0.10000000000000001"
+        },
+        "VTK": {
+            "Enabled": "false"
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/combi_example_faults/HelperFunctions.hpp b/distributedcombigrid/examples/combi_example_faults/HelperFunctions.hpp
index e045b90c7..af67c6c79 100644
--- a/distributedcombigrid/examples/combi_example_faults/HelperFunctions.hpp
+++ b/distributedcombigrid/examples/combi_example_faults/HelperFunctions.hpp
@@ -66,19 +66,19 @@ void readParameterFile(const std::string& fileName, size_t &ngroup, size_t &npro
   boost::property_tree::ini_parser::read_ini(fileName, cfg);
 
   ngroup = cfg.get<size_t>("manager.ngroup");
-  nprocs = cfg.get<size_t>("manager.nprocs");
+  nprocs = cfg.get<size_t>("manager.nprocs"); //this here is the partition
 
-  dim = cfg.get<DimType>("ct.dim");
+  dim = cfg.get<DimType>("ct.dim");   //this is the dim, i assume dimX=dimV
 
   lmin.resize(dim);
   lmax.resize(dim);
   leval.resize(dim);
   p.resize(dim);
 
-  cfg.get<std::string>("ct.lmin") >> lmin;
+  cfg.get<std::string>("ct.lmin") >> lmin; //lmin und lmax bekomm ich aus degreeX=lmax
   cfg.get<std::string>("ct.lmax") >> lmax;
-  cfg.get<std::string>("ct.leval") >> leval;
-  cfg.get<std::string>("ct.p") >> p;
+  cfg.get<std::string>("ct.leval") >> leval; //was ist leval????
+  cfg.get<std::string>("ct.p") >> p; // p are the parameters -> i need to calculate these
   ncombi = cfg.get<size_t>("ct.ncombi");
 
   dt = cfg.get<combigrid::real>("application.dt");
diff --git a/distributedcombigrid/examples/combi_example_faults/Makefile b/distributedcombigrid/examples/combi_example_faults/Makefile
new file mode 100644
index 000000000..c5d32c2de
--- /dev/null
+++ b/distributedcombigrid/examples/combi_example_faults/Makefile
@@ -0,0 +1,26 @@
+CC=mpicxx.mpich
+CFLAGS=-std=c++11 -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall 
+#CFLAGS+=-DSIMFTMPI
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LDIR=$(LD_SGPP) $(LD_GLPK)
+INC=$(INC_SGPP) $(INC_GLPK)
+
+
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization
+
+all: combi_example_faults
+
+combi_example_faults: combi_example_faults.cpp TaskExample.hpp 
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o combi_example_faults combi_example_faults.cpp $(LIBS)
+
+clean:
+	rm -f *.o out/* combi_example_faults
diff --git a/distributedcombigrid/examples/dealii_example/.gitignore b/distributedcombigrid/examples/dealii_example/.gitignore
new file mode 100644
index 000000000..8d69778b3
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/.gitignore
@@ -0,0 +1 @@
+*.vtu
diff --git a/distributedcombigrid/examples/dealii_example/DataConverter.cpp b/distributedcombigrid/examples/dealii_example/DataConverter.cpp
new file mode 100644
index 000000000..2967eda98
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/DataConverter.cpp
@@ -0,0 +1,252 @@
+#include <string>
+#include <vector>
+#include <math.h>
+#include <sstream>
+#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
+
+#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
+#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
+#include <boost/property_tree/ptree.hpp>
+#include <boost/property_tree/json_parser.hpp>
+
+#include "sgpp/distributedcombigrid/utils/Types.hpp"
+#include "DataConverter.hpp"
+
+using namespace combigrid;
+
+
+    Converter::Converter(){};
+    void Converter::toParam(std::string _filename, std::string newname){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root,ini_root,ini_ct, ini_application, ini_manager;
+
+        // Load the json file in this ptree
+        try{
+            pt::read_json(_filename, root);
+            int dimx=root.get<int>("General.DimX");
+            int dimv=root.get<int>("General.DimV");
+            int dim=dimx+dimv;
+            //lmax:
+            int refineX=root.get<int>("Case.NRefinementsX");
+            int refineV=root.get<int>("Case.NRefinementsV");
+            int subX=root.get<int>("Case.NSubdivisionsX.X");
+            int subV=root.get<int>("Case.NSubdivisionsV.X");
+            LevelVector lma;
+
+            //zur Basis 2 hoch beziehen!
+            for(int i=0; i<dimx;i++){
+                lma.push_back(pow(subX*(refineX+1),1.0/3.0)); 
+           }
+            for(int i=0; i<dimx;i++){
+                lma.push_back(pow(1.0/3.0,subV*(refineV+1)));
+            }
+            
+            //lmin=lmax
+
+
+            //ncombi=10
+
+            //p for partitions
+            int partX=root.get<int>("General.PartitionX");
+            int partY=root.get<int>("General.PartitionV");
+            LevelVector p_{partX,partY};
+            
+            //boundary
+            
+            LevelVector bound;
+            for(int i=0;i<dimx;i++){
+                bound.push_back(true);
+            }
+            for(int i=0;i<dimv;i++){
+                bound.push_back(true);
+            }
+            std::string levelString;
+            std::ostringstream vec,p;
+            vec << lma;
+            levelString=vec.str();
+            p<<p_[0]<<" "<<p_[1]<<std::endl;
+            //leval=lmax;
+            ini_ct.put("dim",dim);
+            ini_ct.put("lmin",levelString);
+            ini_ct.put("lmax",levelString);
+            ini_ct.put("leval",levelString);
+            ini_ct.put("p",p.str());
+            ini_ct.put("ncombi",10);
+
+            ini_root.add_child("ct",ini_ct);
+            ini_application.put("dt",0.001);
+            ini_application.put("steps",100);
+            ini_root.add_child("application",ini_application);
+            ini_manager.put("ngroup",2);
+            ini_manager.put("nprocs",1);
+            ini_root.add_child("manager",ini_manager);
+            pt::write_ini(newname,ini_root);
+
+        }
+        catch(const pt::json_parser::json_parser_error& error){
+            std::cout<< "Not a valid json File";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+    
+    //converts the data from the ini file to a json format and stores the data in newname.json
+
+    void Converter::toJSON(std::string _fileName, std::string newname,LevelVector l){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root;
+        pt::ptree json_root, json_general, json_case, json_SpatialDiscretization, json_TemporalDiscretization, json_postprocessing;
+        pt::ptree jsubX, jsubV,jsout, jVTK;
+        
+        // Load the ini file in this ptree
+        try{
+            pt::read_ini(_fileName, root);
+            std::cout << "Name "<<_fileName;
+            int dim=root.get<int>("ct.dim",2);
+            int dimx=root.get<int>("ct.dimx",dim/2);
+            int dimv=root.get<int>("ct.dimv",dim/2);
+
+            //degree is 1 per default
+            int degx=root.get<int>("ct.degreex",1);
+            int degv=root.get<int>("ct.degreev",1);
+
+            // case is per default hyperrectangle and periodic is per default 
+            //nrefinments is set to 0 and the distribution is controlled via subdivisions
+
+            //lmax:
+            LevelVector lmax(dimx+dimv),p(dimx+dimv);
+            lmax=l;
+            root.get<std::string>("ct.p") >> p;
+            
+            json_general.put("DimX", dimx);
+            json_general.put("DimV", dimv);
+            json_general.put("DegreeX", degx);
+            json_general.put("DegreeV", degv);
+            json_general.put("PartitionX", p[0]);
+            json_general.put("PartitionV", p[1]);
+            json_general.put("Case","hyperrectangle");
+            json_root.add_child("General", json_general);
+
+            json_case.put("NRefinementsX",0);
+            json_case.put("NRefinementsV",0);
+            json_case.put("PeriodicX",true);
+            json_case.put("PeriodicV",true);
+            jsubX.put("X",pow(2,lmax[0]));
+            jsubX.put("Y",pow(2,lmax[0]));
+            jsubX.put("Z",pow(2,lmax[0]));
+            jsubV.put("X",pow(2,lmax[1]));
+            jsubV.put("Y",pow(2,lmax[1]));
+            jsubV.put("Z",pow(2,lmax[1]));
+            json_case.add_child("NSubdivisionsX",jsubX);
+            json_case.add_child("NSubdivisionsV",jsubV);
+            json_root.add_child("Case", json_case);
+
+            json_SpatialDiscretization.put("TriangulationType","FullyDistributed");
+            json_SpatialDiscretization.put("MappingX",1);
+            json_SpatialDiscretization.put("MappingV",1);
+            json_root.add_child("SpatialDiscretization",json_SpatialDiscretization);
+
+            json_TemporalDiscretization.put("FinalTime",2);
+            json_TemporalDiscretization.put("CFLNumber",0.1);
+            json_root.add_child("TemporalDiscretization",json_TemporalDiscretization);
+            
+            jsout.put("Tick",0.1);
+            json_postprocessing.add_child("StandardOutput",jsout);
+            jVTK.put("Enabled",true);
+            json_postprocessing.add_child("VTK",jVTK);
+            
+            json_root.add_child("Postprocessing", json_postprocessing);
+            pt::write_json(newname,json_root);
+           
+            
+        }
+        catch(const pt::ini_parser::ini_parser_error& error){
+            std::cout<< "Not a valid File";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+
+    void Converter::toJSONForDealII(std::string _fileName, std::string newname,LevelVector l, int output_prefix){
+        namespace pt = boost::property_tree;
+
+        // Create a root
+        pt::ptree root;
+        pt::ptree json_root, json_general, json_case, json_SpatialDiscretization, json_TemporalDiscretization, json_postprocessing;
+        pt::ptree jsubX, jsubV,jsout, jVTK;
+        
+        // Load the ini file in this ptree
+        try{
+            pt::read_ini(_fileName, root);
+            std::cout << "Name "<<_fileName;
+            int dim=root.get<int>("ct.dim",2);
+
+            //degree is 1 per default
+            int deg=root.get<int>("ct.degree",1);
+
+
+            double dt=root.get<double>("application.dt",1);
+            std::cout << "ct.dt="<<dt<<std::endl;
+            int nsteps=root.get<int>("ct.nsteps",1);
+            std::string isDG=root.get<std::string>("ct.FE","FE_Q");
+
+            // case is per default hyperrectangle and periodic is per default 
+            //nrefinments is set to 0 and the distribution is controlled via subdivisions
+
+            //lmax:
+            LevelVector lmax(dim),p(dim);
+            lmax=l;
+            root.get<std::string>("ct.p") >> p;
+            
+            json_general.put("Dim", dim);
+            json_general.put("Degree", deg);
+            json_general.put("PartitionX", p[std::min(std::max(dim-1, 0),0)]);
+            json_general.put("PartitionY", p[std::min(std::max(dim-1, 1),1)]);
+            json_general.put("PartitionZ", p[std::min(dim-1, 2)]);
+            json_general.put("Case","hyperrectangle");
+            json_root.add_child("General", json_general);
+
+            json_case.put("NRefinements",0);
+            json_case.put("Periodic",true);
+            jsubX.put("X",pow(2,lmax[std::min(std::max(dim-1, 0),0)]));
+            jsubX.put("Y",pow(2,lmax[std::min(std::max(dim-1, 1),1)]));
+            //watch out here
+            
+            jsubX.put("Z",pow(2,lmax[std::min(dim-1, 2)]));
+            json_case.add_child("NSubdivisions",jsubX);
+            json_root.add_child("Case", json_case);
+
+            json_SpatialDiscretization.put("TriangulationType","FullyDistributed");
+            json_SpatialDiscretization.put("Mapping",1);
+            json_SpatialDiscretization.put("FE",isDG);
+            json_root.add_child("SpatialDiscretization",json_SpatialDiscretization);
+
+            json_TemporalDiscretization.put("FinalTime",1);
+            json_TemporalDiscretization.put("CFLNumber",0.15);
+            json_root.add_child("TemporalDiscretization",json_TemporalDiscretization);
+            
+            jsout.put("Tick",dt);
+            json_postprocessing.add_child("StandardOutput",jsout);
+            jVTK.put("Enabled",false);
+            jVTK.put("Prefix","solution/solution_"+std::to_string(output_prefix));
+            json_postprocessing.add_child("VTK",jVTK);
+            
+            json_root.add_child("Postprocessing", json_postprocessing);
+            pt::write_json(newname,json_root);
+           
+            
+        }
+        catch(const pt::ini_parser::ini_parser_error& error){
+            std::cout<< "Not a valid File";
+        }
+        catch(...){
+            std::cout << "Something went wrong";
+        }
+    }
+
diff --git a/distributedcombigrid/examples/dealii_example/DataConverter.hpp b/distributedcombigrid/examples/dealii_example/DataConverter.hpp
new file mode 100644
index 000000000..40d4e5e90
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/DataConverter.hpp
@@ -0,0 +1,35 @@
+/*
+this function reads in the data from a json file formated like that one from hyperdeal and returns the data 
+we need for a Combi
+
+*/
+
+#ifndef DATACONVERTER_H
+#define DATACONVERTER_H
+
+#include <string>
+#include <vector>
+#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
+
+#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
+#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
+
+#include "sgpp/distributedcombigrid/utils/Types.hpp"
+
+using namespace combigrid;
+
+class Converter{
+    public:
+    
+    Converter();
+    //reads the data from a json file and stores it in param file
+    
+    void toParam(std::string, std::string);
+
+    void toJSONForDealII(std::string, std::string, LevelVector, int);
+
+    //
+    void toJSON(std::string, std::string, LevelVector );
+
+};
+#endif
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/L2_errors.dat b/distributedcombigrid/examples/dealii_example/L2_errors.dat
new file mode 100644
index 000000000..88030b325
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/L2_errors.dat
@@ -0,0 +1,230 @@
+Q DO_COMBINE=true now ncombi=10, p=1 1 1
+Q_true_10_1_2= 0.0182625
+Q_true_10_2_2= 0.0186066
+Q_true_10_1_3= 0.00349074
+Q_true_10_2_3= 0.00307517
+Q_true_10_3_3= 0.00261493
+Q_true_10_1_4= 0.000724518
+Q_true_10_2_4= 0.000433859
+Q_true_10_3_4= 0.000301565
+Q_true_10_4_4= 0.000281197
+Q_true_10_1_5= 0.000129533
+Q_true_10_2_5= 5.6649e-05
+Q_true_10_3_5= 3.20669e-05
+Q_true_10_5_5= 2.73028e-05
+Q_true_10_1_6= 2.08885e-05
+Q_true_10_2_6= 6.92929e-06
+Q_true_10_3_6= 3.27132e-06
+Q_true_10_6_6= 2.5274e-06
+Q_true_10_1_7= 3.1e-06
+Q_true_10_2_7= 8.07725e-07
+Q_true_10_3_7= 3.26016e-07
+Q_true_10_7_7= 2.28586e-07
+Q_true_10_1_8= 4.27798e-07
+Q_true_10_2_8= 9.06066e-08
+Q_true_10_3_8= 3.20721e-08
+DGQ DO_COMBINE=true now ncombi=10, p=1 1 1
+DGQ_true_10_1_2=0.029099
+DGQ_true_10_2_2=0.003973
+DGQ_true_10_1_3=0.0110509
+DGQ_true_10_2_3=0.0012934
+DGQ_true_10_3_3=0.000449145
+DGQ_true_10_1_4=0.00360293
+DGQ_true_10_2_4=0.000260622
+DGQ_true_10_3_4=5.08301e-05
+DGQ_true_10_4_4=4.11391e-05
+DGQ_true_10_1_5=0.000603763
+DGQ_true_10_2_5=0.00012289
+DGQ_true_10_3_5=9.06477e-06
+DGQ_true_10_5_5=3.62193e-06
+DGQ_true_10_1_6=0.000397152
+DGQ_true_10_2_6=5.34969e-05
+DGQ_true_10_3_6=4.59671e-06
+DGQ_true_10_6_6=3.18862e-07
+DGQ_true_10_1_7=0.000175982
+DGQ_true_10_2_7=2.3539e-05
+DGQ_true_10_3_7=1.6033e-06
+DGQ_true_10_7_7=2.81292e-08
+DGQ_false_10_1_2=0.00678428
+DGQ_false_10_2_2=0.003973
+DGQ_false_10_1_3=0.00190135
+DGQ_false_10_2_3=0.000764347
+DGQ_false_10_3_3=0.000449145
+DGQ_false_10_1_4=0.00042834
+DGQ_false_10_2_4=0.000127214
+DGQ_false_10_3_4=4.78481e-05
+DGQ_false_10_4_4=4.11391e-05
+DGQ_false_10_1_5=9.30853e-05
+DGQ_false_10_2_5=2.53903e-05
+DGQ_false_10_3_5=6.02243e-06
+DGQ_false_10_5_5=3.62193e-06
+DGQ_false_10_1_6=2.27648e-05
+DGQ_false_10_2_6=6.80157e-06
+DGQ_false_10_3_6=1.22878e-06
+DGQ_false_10_6_6=3.18862e-07
+DGQ_false_10_1_7=6.75442e-06
+DGQ_false_10_2_7=2.0602e-06
+DGQ_false_10_3_7=3.17836e-07
+DGQ_false_10_7_7=2.81292e-08
+Q_false_10_1_2=0.0181183
+Q_false_10_2_2=0.0186066
+Q_false_10_1_3=0.00341677
+Q_false_10_3_3=0.00261493
+Q_false_10_1_4=0.000848653
+Q_false_10_4_4=0.000281197
+Q_false_10_1_5=0.000161517
+Q_false_10_5_5=2.73028e-05
+Q_false_10_1_6=2.79669e-05
+Q_false_10_6_6=2.5274e-06
+Q_false_10_1_7=4.49761e-06
+Q_false_10_7_7=2.28586e-07
+Q_false_10_1_8= 9.97798e-07
+DGQ_false_10_7_7=2.81292e-08
+DGQ_true_100_1_2=2.51834e+22
+DGQ_true_100_2_2=0.0039731
+DGQ_true_100_1_3=9.14013e+21
+DGQ_true_100_2_3=7.17986e+18
+DGQ_true_100_3_3=0.000449147
+DGQ_true_100_1_4=1.40378e+21
+DGQ_true_100_2_4=1.27067e+18
+DGQ_true_100_3_4=1.77191e+12
+DGQ_true_100_4_4=4.11392e-05
+DGQ_true_100_1_5=7.24251e+19
+DGQ_true_100_2_5=7.40593e+16
+DGQ_true_100_3_5=7.64789e+11
+DGQ_true_100_5_5=3.62193e-06
+DGQ_true_100_1_6=7.38623e+25
+DGQ_true_100_2_6=2.30757e+23
+DGQ_true_100_3_6=4.04923e+17
+DGQ_true_100_6_6=3.18862e-07
+DGQ_true_100_1_7=3.45959e+32
+DGQ_true_100_2_7=5.72405e+29
+DGQ_true_100_3_7=1.76141e+24
+DGQ_false_100_1_2=0.00678428
+DGQ_false_100_2_2=0.0039731
+DGQ_false_100_1_3=0.00190134
+DGQ_false_100_2_3=0.000764318
+DGQ_false_100_3_3=0.000449147
+DGQ_false_100_1_4=0.000428332
+DGQ_false_100_2_4=0.000127214
+DGQ_false_100_3_4=4.78479e-05
+DGQ_false_100_4_4=4.11392e-05
+DGQ_false_100_1_5=9.30881e-05
+DGQ_false_100_2_5=2.53904e-05
+DGQ_false_100_3_5=6.02238e-06
+DGQ_false_100_5_5=3.62193e-06
+DGQ_false_100_1_6=2.27647e-05
+DGQ_false_100_2_6=6.80157e-06
+DGQ_false_100_3_6=1.22879e-06
+DGQ_false_100_6_6=3.18862e-07
+DGQ_false_100_1_7=6.75444e-06
+DGQ_false_100_2_7=2.0602e-06
+DGQ_false_100_3_7=3.17836e-07
+DGQ_false_10_1_2= 8.29777e-05
+DGQ_false_10_2_2= 6.17032e-05
+DGQ_false_10_1_3= 4.53452e-05
+DGQ_false_10_2_3= 2.52722e-05
+DGQ_false_10_1_2= 8.29777e-05
+DGQ_false_10_2_2= 6.17032e-05
+DGQ_false_10_1_3= 4.53452e-05
+DGQ_false_10_2_3= 2.52722e-05
+DGQ_false_10_3_3= 2.04198e-05
+DGQ_false_10_1_4= 2.43739e-05
+DGQ_false_10_2_4= 1.24166e-05
+DGQ_false_10_3_4= 1.02821e-05
+DGQ_false_10_4_4= 1.00706e-05
+DGQ_false_10_1_5= 1.37989e-05
+DGQ_false_10_2_5= 7.371e-06
+DGQ_false_10_3_5= 6.28536e-06
+DGQ_false_10_5_5= 6.13759e-06
+DGQ_false_10_1_6= 8.67667e-06
+DGQ_false_10_2_6= 4.33744e-06
+DGQ_false_10_3_6= 3.39258e-06
+DGQ_false_100_7_7= 2.81292e-08
+DGQ_false_10_1_2= 8.29777e-05
+DGQ_false_10_2_2= 6.17032e-05
+DGQ_false_10_1_3= 4.53452e-05
+DGQ_false_10_2_3= 2.52722e-05
+DGQ_false_10_3_3= 2.04198e-05
+DGQ_false_10_1_4= 2.43739e-05
+DGQ_false_10_2_4= 1.24166e-05
+DGQ_false_10_3_4= 1.02821e-05
+DGQ_false_10_4_4= 1.00706e-05
+DGQ_false_10_1_5= 1.37989e-05
+DGQ_false_10_2_5= 7.371e-06
+DGQ_false_10_3_5= 6.28536e-06
+DGQ_false_10_5_5= 6.13759e-06
+DGQ_false_10_1_6= 8.67667e-06
+DGQ_false_10_2_6= 4.33744e-06
+DGQ_false_10_3_6= 3.39258e-06
+Q_false_100_1_2= 0.0181183
+Q_false_100_2_2= 0.0186066
+Q_false_100_1_2= 0.0181183
+Q_false_100_1_2= 0.0181183
+Q_false_100_2_2= 0.0186066
+Q_false_100_1_3= 0.00341677
+Q_false_100_3_3= 0.00261492
+Q_false_100_1_4= 0.000848649
+Q_false_100_4_4= 0.000281197
+Q_false_100_1_5= 0.000161516
+Q_false_100_5_5= 2.73028e-05
+Q_false_100_1_6= 2.79673e-05
+Q_false_100_6_6= 2.5274e-06
+Q_false_100_1_7= 4.49763e-06
+Q_false_100_7_7= 2.28586e-07
+Q_true_100_1_2= 0.0182886
+Q_true_100_2_2= 0.0186066
+Q_true_100_1_3= 0.00345472
+Q_true_100_3_3= 0.00261492
+Q_true_100_1_4= 0.000715257
+Q_true_100_4_4= 0.000281197
+Q_true_100_1_5= 0.00012817
+Q_true_100_5_5= 2.73028e-05
+Q_true_100_1_6= 2.05305e-05
+Q_true_100_6_6= 2.5274e-06
+Q_true_100_1_7= 3.04666e-06
+Q_true_100_7_7= 2.28586e-07
+Q_false_10_1_2= 0.0181183
+Q_false_10_2_2= 0.0186066
+Q_false_10_1_3= 0.00341677
+Q_false_10_3_3= 0.00261493
+Q_false_10_1_4= 0.000848653
+Q_false_10_4_4= 0.000281197
+Q_false_10_1_5= 0.000161517
+Q_false_10_5_5= 2.73028e-05
+Q_false_10_1_6= 2.79669e-05
+Q_false_10_6_6= 2.5274e-06
+Q_false_10_1_7= 4.49761e-06
+Q_false_10_7_7= 2.28586e-07
+Q_true_10_1_2= 0.0182625
+Q_true_10_2_2= 0.0186066
+Q_true_10_1_3= 0.00349074
+Q_true_10_3_3= 0.00261493
+Q_true_10_1_4= 0.000724518
+Q_true_10_4_4= 0.000281197
+Q_true_10_1_5= 0.000129533
+Q_true_10_5_5= 2.73028e-05
+Q_true_10_1_6= 2.08885e-05
+Q_true_10_6_6= 2.5274e-06
+Q_true_10_1_7= 3.1e-06
+Q_true_10_7_7= 2.28586e-07
+DGQ_true_10_1_2= 0.00159281
+DGQ_true_10_2_2= 6.17277e-05
+DGQ_true_10_1_3= 9.01725e-05
+DGQ_true_10_2_3= 2.98962e-05
+DGQ_true_10_3_3= 2.043e-05
+DGQ_true_10_1_4= 1.17003
+DGQ_true_10_2_4= 0.000332773
+DGQ_true_10_3_4= inf
+DGQ_true_10_4_4= 1.00713e-05
+DGQ_true_10_1_5= 7.41924e-05
+DGQ_true_10_2_5= 0.000640425
+DGQ_true_10_3_5= 3.21984
+DGQ_true_10_5_5= 6.13761e-06
+DGQ_true_10_1_6= 0.000673894
+DGQ_true_10_2_6= 7.7561e-05
+DGQ_true_10_3_6= 5.56606
+DGQ_true_10_6_6= 3.27577e-06
+DGQ_true_10_1_7= 0.00264169
+DGQ_true_10_2_7= 0.00191686
+DGQ_true_10_3_7= inf
diff --git a/distributedcombigrid/examples/dealii_example/Make_copy b/distributedcombigrid/examples/dealii_example/Make_copy
new file mode 100644
index 000000000..7a4e635ed
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/Make_copy
@@ -0,0 +1,35 @@
+CC=mpicxx
+CFLAGS=-std=c++17 -g -march=native -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -DUNIFORMDECOMPOSITION
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+HYPER_DIR=/home/sgsscratch/goehrims/
+DEBUG_DIR=/home/sgsscratch/goehrims/DEBUG
+
+DEAL_II_DIR=/home/sgsscratch/goehrims/matrixfree-install
+DEAL_II_INC_DIR=/home/sgsscratch/goehrims/matrixfree
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LD_DEALII=-L$(DEAL_II_DIR)/lib
+INC_DEALII=-I$(DEAL_II_DIR)/include 
+INC_BOOST=-I$(DEAL_II_INC_DIR)/bundled/boost-1.70.0/include
+INC_P4EST= -I$(DEBUG_DIR)/include
+
+INC_HYPERDEAL=-I$(HYPER_DIR)
+
+LDIR=$(LD_SGPP) $(LD_GLPK) $(LD_DEALII)
+INC=$(INC_SGPP) $(INC_GLPK) $(INC_DEALII) $(INC_BOOST) $(INC_HYPERDEAL) $(INC_P4EST)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization -ldeal_II.g 
+
+all: dealii_example 
+
+dealii_example: dealii_example.cpp TaskExample.hpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o dealii_example dealii_example.cpp $(LIBS)
+
+clean:
+	rm -f *.o out/* dealii_example
diff --git a/distributedcombigrid/examples/dealii_example/Makefile b/distributedcombigrid/examples/dealii_example/Makefile
new file mode 100644
index 000000000..1ee60bf95
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/Makefile
@@ -0,0 +1,36 @@
+CC=mpicxx
+CFLAGS=-std=c++17 -march=native -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -DUNIFORMDECOMPOSITION
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+HYPER_DIR=/home/sgsscratch/goehrims/
+DEBUG_DIR=/home/sgsscratch/goehrims/DEBUG
+
+DEAL_II_DIR=/home/sgsscratch/goehrims/matrixfree-install
+DEAL_II_INC_DIR=/home/sgsscratch/goehrims/matrixfree
+
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LD_DEALII=-L$(DEAL_II_DIR)/lib
+INC_DEALII=-I$(DEAL_II_DIR)/include 
+INC_BOOST=-I$(DEAL_II_INC_DIR)/bundled/boost-1.70.0/include
+INC_P4EST= -I$(DEBUG_DIR)/include
+
+INC_HYPERDEAL=-I$(HYPER_DIR)
+
+LDIR=$(LD_SGPP) $(LD_GLPK) $(LD_DEALII)
+INC=$(INC_SGPP) $(INC_GLPK) $(INC_DEALII) $(INC_BOOST) $(INC_HYPERDEAL) $(INC_P4EST)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization -ldeal_II
+
+all: dealii_example 
+
+dealii_example: dealii_example.cpp TaskExample.hpp DataConverter.cpp parameter_handler.cc TaskEnsemble.hpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o dealii_example dealii_example.cpp parameter_handler.cc $(LIBS)
+
+clean:
+	rm -f *.o out/* dealii_example
diff --git a/distributedcombigrid/examples/dealii_example/Makefile.template b/distributedcombigrid/examples/dealii_example/Makefile.template
new file mode 100644
index 000000000..c4e828083
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/Makefile.template
@@ -0,0 +1,36 @@
+CC=$(CC)
+CFLAGS=-std=c++17 -march=native -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -DUNIFORMDECOMPOSITION
+
+SGPP_DIR=$(SGPP)
+GLPK_DIR=$(GLPK)
+HYPER_DIR=/home/sgsscratch/goehrims/
+DEBUG_DIR=/home/sgsscratch/goehrims/DEBUG
+
+DEAL_II_DIR=/home/sgsscratch/goehrims/matrixfree-install
+DEAL_II_INC_DIR=/home/sgsscratch/goehrims/matrixfree
+
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LD_DEALII=-L$(DEAL_II_DIR)/lib
+INC_DEALII=-I$(DEAL_II_DIR)/include 
+INC_BOOST=-I$(DEAL_II_INC_DIR)/bundled/boost-1.70.0/include
+INC_P4EST= -I$(DEBUG_DIR)/include
+
+INC_HYPERDEAL=-I$(HYPER_DIR)
+
+LDIR=$(LD_SGPP) $(LD_GLPK) $(LD_DEALII)
+INC=$(INC_SGPP) $(INC_GLPK) $(INC_DEALII) $(INC_BOOST) $(INC_HYPERDEAL) $(INC_P4EST)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization -ldeal_II 
+
+all: dealii_example 
+
+dealii_example: dealii_example.cpp TaskExample.hpp DataConverter.cpp parameter_handler.cc TaskEnsemble.hpp
+	$(CC) $(CFLAGS) $(LDIR) $(INC) -o dealii_example dealii_example.cpp parameter_handler.cc $(LIBS)
+
+clean:
+	rm -f *.o out/* dealii_example
diff --git a/distributedcombigrid/examples/dealii_example/TaskEnsemble.hpp b/distributedcombigrid/examples/dealii_example/TaskEnsemble.hpp
new file mode 100644
index 000000000..1262772a3
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/TaskEnsemble.hpp
@@ -0,0 +1,508 @@
+/*
+ * TaskExample.hpp
+ *
+ *  Created on: Sep 25, 2015
+ *      Author: heenemo
+ */
+
+#ifndef TASKENSEMPLE_HPP_
+#define TASKENSEMPLE_HPP_
+
+#include <deal.II/base/timer.h>
+#include <deal.II/lac/la_parallel_vector.h>
+#include <hyper.deal.combi/include/functionalities/dynamic_convergence_table.h>
+#include <hyper.deal.combi/include/functionalities/vector_dummy.h>
+#include <math.h>
+
+#include <cassert>
+#include <sstream>
+
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp"
+#include "sgpp/distributedcombigrid/task/Task.hpp"
+//#include <hyper.deal.combi/applications/advection_reference_dealii/include/application.h>
+
+namespace combigrid {
+
+class TaskEnsemble : public Task {
+ public:
+  /* if the constructor of the base task class is not sufficient we can provide an
+   * own implementation. here, we add dt, nsteps, and p as a new parameters.
+   */
+  TaskEnsemble(DimType dim, LevelVector& l, std::vector<bool>& boundary, real coeff,
+               LoadModel* loadModel, std::string filename, real dt, bool makeExactSolution,
+               IndexVector p = IndexVector(0),
+               FaultCriterion* faultCrit = (new StaticFaults({0, IndexVector(0), IndexVector(0)})))
+      : Task(dim, l, boundary, coeff, loadModel, faultCrit) {
+    dt_ = (dt), p_ = (p), make_exact_ = (makeExactSolution), initialized_ = (false),
+    stepsTotal_ = (0), dfgEnsemble_ = (nullptr), _filename = (filename);
+  }
+
+  void init(CommunicatorType lcomm,
+            std::vector<IndexVector> decomposition = std::vector<IndexVector>()) {
+    assert(!initialized_);
+    assert(dfgEnsemble_ == nullptr);
+
+    int lrank;
+    MPI_Comm_rank(lcomm, &lrank);
+
+    /* create distributed full grid. we try to find a balanced ratio between
+     * the number of grid points and the number of processes per dimension
+     * by this very simple algorithm. to keep things simple we require powers
+     * of two for the number of processes here. */
+    int np;
+    MPI_Comm_size(lcomm, &np);
+
+    // check if power of two
+    if (!((np > 0) && ((np & (~np + 1)) == np)))
+      assert(false && "number of processes not power of two");
+
+    DimType dim = this->getDim();
+    IndexVector p(dim, 1);
+    const LevelVector& l = this->getLevelVector();
+
+    if (p_.size() == 0) {
+      // compute domain decomposition
+      IndexType prod_p(1);
+
+      while (prod_p != static_cast<IndexType>(np)) {
+        DimType dimMaxRatio = 0;
+        real maxRatio = 0.0;
+
+        for (DimType k = 0; k < dim; ++k) {
+          real ratio = std::pow(2.0, l[k]) / p[k];
+
+          if (ratio > maxRatio) {
+            maxRatio = ratio;
+            dimMaxRatio = k;
+          }
+        }
+
+        p[dimMaxRatio] *= 2;
+        prod_p = 1;
+
+        for (DimType k = 0; k < dim; ++k) prod_p *= p[k];
+      }
+    } else {
+      p = p_;
+    }
+
+    // create local subgrid on each process
+    dfgEnsemble_ = new DFGEnsemble(dim, l, lcomm, this->getBoundary(), p);
+
+    // for visualization of grids in Paraview
+    Point<Problem::dim_> offset;
+    for (unsigned int i = 0; i < dim; i++) offset[i] = l[i] * 1.1;
+
+    // if(!make_exact_){
+    this->problem = std::make_shared<Problem>(lcomm, table, offset);
+    this->problem->reinit(_filename);
+
+    std::vector<std::array<Number, Problem::dim_ + 2>> coords_dealii = problem->get_result();
+    dealii_size = coords_dealii.size();
+
+    // array containing the coordinates of all grids.
+    std::vector<std::vector<std::array<Number, Problem::dim_>>> element_coords(
+        dfgEnsemble_->getNumFullGrids());
+
+    // loop over each fullgrid to set coordinates of each point in element_coords.
+    // furthermore the DisCoTec grids are initialized with NaN
+    for (unsigned int i = 0; i < dfgEnsemble_->getNumFullGrids(); ++i) {
+      auto& dfg = dfgEnsemble_->getDFG(i);
+      std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+      element_coords[i].resize(elements.size());
+      /* loop over local subgrids and set initial values */
+      for (size_t j = 0; j < elements.size(); ++j) {
+        IndexType globalLinearIndex = dfg.getGlobalLinearIndex(j);
+        std::vector<real> globalCoords(dim);
+        dfg.getCoordsGlobal(globalLinearIndex, globalCoords);
+        for (size_t l = 0; l < dim; ++l) {
+          element_coords[i][j][l] = globalCoords[l];
+        }
+
+        elements[j] = NAN;  // TaskEnsemble::myfunction(globalCoords, 0.0);
+      }
+    }
+
+    // corners is an array that contains exactly the one corner point at index i that is set by
+    // deal.ii at Degree of freedom i.
+    // So you know which direction this degree of freedom i is pointing
+    corners.resize(dfgEnsemble_->getNumFullGrids());
+
+    int partitions = p[0] * p[1];
+
+    // set grid sizes
+    int Nx = std::pow(2, l[0]) + 1;
+    int Ny = std::pow(2, l[1]) + 1;
+    int Nz = 1;
+    if (dim == 3) {
+      Nz = std::pow(2, l[2]) + 1;
+      partitions *= p[2];
+    }
+
+    assert(partitions == 1);  // partitioning isnt correct when in parallel
+
+#pragma region Index_mapping_init
+    // indexmapping[i], initialized with -1 contains at index j (=index_mapping[i][j]) the index of
+    // the deal.ii point that corresponds to the DisCoTec point at index j
+    index_mapping.resize(dfgEnsemble_->getNumFullGrids());
+
+    // loop over each degree of freedom and init index_mapping with -1 such that we later can
+    // control which index is not set yet.
+    for (unsigned int dof = 0; dof < dfgEnsemble_->getNumFullGrids(); ++dof) {
+      index_mapping[dof].resize(element_coords[dof].size());
+      for (unsigned int j = 0; j < element_coords[dof].size(); ++j) {
+        index_mapping[dof][j] = -1;
+      }
+    }
+
+    // this may cause memory problems when working with high discretizations,
+    index_sub.resize(Nx * Ny * Nz);
+    int x = 0, y = 0, z = 0, linearized_index = 0;
+
+    // index mapping is done via hashing:
+    // each point is mapped to its linearized index in the grid -> O(n)
+    for (unsigned int el_index = 0; el_index < (element_coords[0].size()); el_index++) {
+      x = element_coords[0][el_index][0] * (Nx - 1);
+      y = element_coords[0][el_index][1] * (Ny - 1);
+
+      linearized_index = y * (Nx) + x;
+      if (dim == 3) {
+        z = element_coords[0][el_index][2] * (Nz - 1);
+        linearized_index = x + (Nx)*y + z * (Nx) * (Ny);
+      }
+      // remember the index of the point and its linearized index
+      index_sub[linearized_index] = el_index;
+    }
+    // same for the deal.II points ->O(2n)
+    for (unsigned int x2 = 0; x2 < (coords_dealii.size()); x2++) {
+      // x,y and z are the indices of the point with respect to its corresponding axis, so it is not
+      // the deal.ii index
+      x = std::round(coords_dealii[x2][0] * (Nx - 1));
+      y = std::round(coords_dealii[x2][1] * (Ny - 1));
+
+      // this bool indicates wether this point is on the boundary in z-direction
+      bool z_corner = true;
+      if (dim == 3) {
+        z = coords_dealii[x2][2] * (Nz - 1);
+        if (!(z == (Nz - 1) || z == 0)) z_corner = false;
+      }
+
+      // check here whether cornerpoint, if so, save this point in corners
+      if ((x == (Nx - 1) || x == 0) && (y == (Ny - 1) || y == 0) && z_corner) {
+        corners[coords_dealii[x2][dim + 1]].resize(dim);
+        for (unsigned int d = 0; d < dim; ++d)
+          corners[coords_dealii[x2][dim + 1]][d] = coords_dealii[x2][d];
+      }
+      // claculate the linearized index
+      linearized_index = (Nx)*y + x + z * (Nx) * (Ny);
+
+      // If we already had an DisCoTec point with this linearized index we know these points need to
+      // be mapped
+      if (index_sub[linearized_index] != -1) {
+        // coords_dealii[x2][dim + 1] decodes the degree of freedom.
+        // then in this DOF save at the index of the DisCoTec point the index of the deal.ii point.
+        // can be understood as elements[index_sub[linearized_index]]=coords_dealii[x2]
+        index_mapping[coords_dealii[x2][dim + 1]][index_sub[linearized_index]] = x2;
+      }
+    }
+#pragma endregion Index_mapping_init
+
+#pragma region Index_mapping_boundary
+    // check the index_mapping for Completeness, beacuse the boundary values, namely corners, edges
+    // and (in 3d) boundary areas need special treatment
+    for (unsigned int point_index = 0; point_index < element_coords[0].size(); ++point_index) {
+      for (unsigned int dof = 0; dof < dfgEnsemble_->getNumFullGrids(); ++dof) {
+        if (index_mapping[dof][point_index] == -1) {
+          // x,y and z are the indices of the point with respect to its corresponding axis, so it is
+          // not the discotec index
+          //those values are used to detect the type of boundary point: corner, edge or boundary area
+          x = std::round(element_coords[dof][point_index][0] * (Nx - 1));
+          y = std::round(element_coords[dof][point_index][1] * (Ny - 1));
+          bool z_corner = true;
+          if (dim == 3) {
+            z = element_coords[dof][point_index][2] * (Nz - 1);
+            if (!(z == (Nz - 1) || z == 0)) z_corner = false;
+          }
+
+#pragma region Corner
+          if ((x == (Nx - 1) || x == 0) && (y == (Ny - 1) || y == 0) && z_corner) {
+            // this point is a corner
+            // on one DisCoTec grid all corner points have the same value as it displays 1 Degree of
+            // freedom and we have periodic boundary values
+
+            //calculate the corner that is stored in this degree of freedom
+            x = std::round(corners[dof][0] * (Nx - 1));
+            y = std::round(corners[dof][1] * (Ny - 1));
+            if (dim == 3) z = corners[dof][2] * (Nz - 1);
+
+            //this is the linearized index of the corner point.
+            linearized_index = (Nx)*y + x + z * (Nx) * (Ny);
+            
+            //this point needs the same value as the corner point and the corner points DisCoTec index ist stored in index_sub[linearized_index]
+            index_mapping[dof][point_index] = index_mapping[dof][index_sub[linearized_index]];
+          }
+#pragma endregion Corner
+#pragma region Edge
+          else {
+            //this is a edge
+            //adding a part of the negated corner gives the point coordinates like in Deal.ii such that we know which dof of a point it is.
+            double x_moved_point = element_coords[dof][point_index][0] + 1.0 / 100.0 * ((int)(!((bool)corners[dof][0])) - 0.5);
+            double y_moved_point = element_coords[dof][point_index][1] + 1.0 / 100.0 * ((int)(!((bool)corners[dof][1])) - 0.5);
+            double z_moved_point=0;
+            //check whether the x_ coordinate is on the x-axis boundary
+            if (element_coords[dof][point_index][0] == 0.0 || element_coords[dof][point_index][0] == 1.0) {
+              if (x_moved_point< 0.0 || x_moved_point > 1.0) {
+                //the moved point is outside the domain in x direction so copy the value from the negated x coordinate
+                x_moved_point = ((int)!(element_coords[dof][point_index][0]));
+              } else {
+                //x_ is inside the domain so keep this value
+                x_moved_point = element_coords[dof][point_index][0];
+              }
+            } else {
+              x_moved_point = element_coords[dof][point_index][0];
+            }
+
+            //same for the y coordinate: If y is at y-axis boundary 
+            if (element_coords[dof][point_index][1] == 0.0 || element_coords[dof][point_index][1] == 1.0) {
+              if (y_moved_point < 0.0 || y_moved_point > 1.0) {
+                //the moved point is outside the domain in y direction so copy the value from the negated y coordinate
+                y_moved_point = ((int)!(element_coords[dof][point_index][1]));
+              } else {
+                y_moved_point = element_coords[dof][point_index][1];
+              }
+            } else {
+              y_moved_point = element_coords[dof][point_index][1];
+            }
+
+            //the same for the z coordinate if we are three dimensional
+            if (dim == 3) {
+
+              //move the point in z-direction with a little offset according to the "direction" of the degree of freedom
+              z_moved_point = element_coords[dof][point_index][2] + 1.0 / 100.0 * ((int)(!((bool)corners[dof][2])) - 0.5);
+              if (element_coords[dof][point_index][2] == 0 || element_coords[dof][point_index][2] == 1) {
+                if (z_moved_point < 0 || z_moved_point > 1) {
+                  //the moved point is outside the domain in z direction so copy the value from the negated y coordinate
+                  z_moved_point = (int)!(element_coords[dof][point_index][2]);
+                } else {
+                  z_moved_point = element_coords[dof][point_index][2];
+                }
+              } else {
+                z_moved_point = element_coords[dof][point_index][2];
+              }
+            }
+            linearized_index = (Nx)*y_moved_point * (Ny - 1) + x_moved_point * (Nx - 1) + z_moved_point * (Nz - 1) * (Nx) * (Ny);
+            
+            index_mapping[dof][point_index] = index_mapping[dof][index_sub[linearized_index]];
+          }
+#pragma endregion Edge
+        }
+      }
+    }
+#pragma endregion Index_mapping_boundary
+
+    initialized_ = true;
+  }
+
+  /* this is were the application code kicks in and all the magic happens.
+   * do whatever you have to do, but make sure that your application uses
+   * only lcomm or a subset of it as communicator.
+   * important: don't forget to set the isFinished flag at the end of the computation.
+   */
+  void run(CommunicatorType lcomm) {
+    assert(initialized_);
+    table.start("time->fullgrid");
+    if (!make_exact_) {
+      std::vector<std::array<Number, Problem::dim_ + 2>> old_result(dealii_size);
+      if (stepsTotal_ == 1) {
+        auto& dfg = dfgEnsemble_->getDFG(0);
+        std::vector<CombiDataType>& elements = dfg.getElementVector();
+        int counter = 0;
+        for (size_t j = 0; j < elements.size(); ++j) {
+          IndexType globalLinearIndex = dfg.getGlobalLinearIndex(j);
+          std::vector<real> globalCoords(dim);
+          dfg.getCoordsGlobal(globalLinearIndex, globalCoords);
+          std::cout << elements[j] << " ";
+          counter++;
+          if (counter == 5) {
+            std::cout << std::endl;
+            counter = 0;
+          }
+        }
+      }
+      if (stepsTotal_ > 0 && do_combine) {
+        // iterates over all dfgs of the ensemble
+        for (unsigned int i = 0; i < dfgEnsemble_->getNumFullGrids(); i++) {
+          auto& dfg = dfgEnsemble_->getDFG(i);
+          std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+          // iterate here over all points of this grid
+          for (unsigned int l = 0; l < index_mapping[i].size(); l++) {
+            old_result[index_mapping[i][l]][Problem::dim_] = elements[l];
+          }
+        }
+        problem->set_result(old_result);
+      }
+      // Stats::startEvent("Task "+std::to_string(this->getID()));
+      problem->reinit_time_integration(stepsTotal_ * dt_, (stepsTotal_ + 1) * dt_);
+
+      // process problem
+      problem->solve();
+      // Stats::stopEvent("Task "+std::to_string(this->getID()));
+
+      // process problem
+      problem->solve();
+      // Stats::stopEvent("Task "+std::to_string(this->getID()));
+
+      std::vector<std::array<Number, Problem::dim_ + 2>> result = problem->get_result();
+      // std::cout << "result " << result.size() << " " << result[0].size() << std::endl;
+      // for (auto& r : result) {
+      //   for (auto& s : r) {
+      //       std::cout << s << " ";
+      //   }
+      //   std::cout << "," << std::endl;
+      // }
+      // std::cout << std::endl;
+
+      // iterate over all dfgs
+      for (unsigned int i_dash = 0; i_dash < dfgEnsemble_->getNumFullGrids(); i_dash++) {
+        auto& dfg = dfgEnsemble_->getDFG(i_dash);
+        auto i = powerOfTwo[Problem::dim_] - i_dash - 1;
+        std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+        // iterate over the elements of this dfg
+        for (unsigned int l = 0; l < index_mapping[i].size(); l++) {
+          elements[l] = result[index_mapping[i][l]][Problem::dim_];
+        }
+      }
+
+    } else {
+      std::vector<std::array<Number, Problem::dim_ + 2>> coords_dealii = problem->get_result();
+      // iterate over all points here and compute the value here.
+      for (unsigned int i = 0; i < coords_dealii.size(); ++i) {
+        std::array<Number, Problem::dim_> coord;
+        for (int dim = 0; dim < Problem::dim_; ++dim) {
+          coord[dim] = coords_dealii[i][dim];
+        }
+        coords_dealii[i][Problem::dim_] = exactSolution(coord, (stepsTotal_ + 1) * dt_);
+      }
+
+      for (unsigned int i_dash = 0; i_dash < dfgEnsemble_->getNumFullGrids(); i_dash++) {
+        auto& dfg = dfgEnsemble_->getDFG(i_dash);
+        auto i = powerOfTwo[Problem::dim_] - i_dash - 1;
+        std::vector<CombiDataType>& elements = dfg.getElementVector();
+
+        // iterate over the elements of this dfg
+        for (unsigned int l = 0; l < index_mapping[i].size(); l++) {
+          elements[l] = coords_dealii[index_mapping[i][l]][Problem::dim_];
+        }
+      }
+    }
+    stepsTotal_++;
+    table.stop("time->fullgrid");
+    this->setFinished(true);
+    // for(unsigned int i = 0; i< dfgEnsemble_->getNumFullGrids(); ++i) {
+    //   std::cout << GridEnumeration::isHigherInDimension(static_cast<char>(0), i) << " " <<
+    //   GridEnumeration::isHigherInDimension(static_cast<char>(1), i) << std::endl; std::cout <<
+    //   dfgEnsemble_->getDFG(i) << std::endl;
+    // }
+  }
+
+  double exactSolution(std::array<Number, Problem::dim_> coordinates, double time) {
+    double result = 1.0;
+    Tensor<1, 3> advection;
+    advection[0] = 1;
+    advection[1] = 0.15;
+    advection[2] = -0.05;
+    for (unsigned int d = 0; d < Problem::dim_; ++d)
+      result *= std::pow(std::sin((coordinates[d] - time * advection[d]) * dealii::numbers::PI), 2);
+
+    return result;
+  }
+
+  DistributedFullGrid<CombiDataType>& getDistributedFullGrid(int n = 0) {
+    return dfgEnsemble_->getDFG(n);
+  }
+
+  DFGEnsemble* getDFGEnsemble() const override { return dfgEnsemble_; }
+
+  /* this function evaluates the combination solution on a given full grid.
+   * here, a full grid representation of your task's solution has to be created
+   * on the process of lcomm with the rank r.
+   * typically this would require gathering your (in whatever way) distributed
+   * solution on one process and then converting it to the full grid representation.
+   * the DistributedFullGrid class offers a convenient function to do this.
+   */
+  void getFullGrid(FullGrid<CombiDataType>& fg, RankType r, CommunicatorType lcomm, int n = 0) {
+    assert(fg.getLevels() == getDistributedFullGrid(n).getLevels());
+
+    getDistributedFullGrid(n).gatherFullGrid(fg, r);
+  }
+
+  // return the number of grids; here it is the number of grids in ensemble
+  size_t getNumGrids() override { return powerOfTwo[dim_]; }
+
+  size_t getDOFs() override {
+    // std::vector<std::array<Number, Problem::dim_ + 2>> coordalii = problem->get_result();
+    // dealii_size=coordalii.size();
+    return dealii_size;
+  }
+
+  void setZero() {}
+
+  ~TaskEnsemble() {
+    if (dfgEnsemble_ != nullptr) delete dfgEnsemble_;
+  }
+
+ protected:
+  /* if there are local variables that have to be initialized at construction
+   * you have to do it here. the worker processes will create the task using
+   * this constructor before overwriting the variables that are set by the
+   * manager. here we need to set the initialized variable to make sure it is
+   * set to false. */
+  TaskEnsemble() : make_exact_(false), initialized_(false), stepsTotal_(0), dfgEnsemble_(nullptr) {}
+
+ private:
+  friend class boost::serialization::access;
+
+  // new variables that are set by manager. need to be added to serialize
+  real dt_;
+  size_t dealii_size = 0;
+  std::vector<std::vector<int>> index_mapping;
+  std::vector<int> index_sub;
+  std::vector<std::vector<Number>> corners;
+  std::vector<std::vector<Number>> index_mapping2;
+  bool make_exact_ = false;
+  IndexVector p_;
+  std::shared_ptr<Problem> problem;
+  // pure local variables that exist only on the worker processes
+  bool initialized_;
+  size_t stepsTotal_;
+  // DistributedFullGrid<CombiDataType>* dfg_;
+  DFGEnsemble* dfgEnsemble_;
+  std::string _filename;
+  /**
+   * The serialize function has to be extended by the new member variables.
+   * However this concerns only member variables that need to be exchanged
+   * between manager and workers. We do not need to add "local" member variables
+   * that are only needed on either manager or worker processes.
+   * For serialization of the parent class members, the class must be
+   * registered with the BOOST_CLASS_EXPORT macro.
+   */
+  template <class Archive>
+  void serialize(Archive& ar, const unsigned int version) {
+    // handles serialization of base class
+    ar& boost::serialization::base_object<Task>(*this);
+
+    // add our new variables
+    ar& dt_;
+
+    ar& p_;
+    ar& _filename;
+    ar& make_exact_;
+  }
+};
+
+}  // namespace combigrid
+
+#endif /* TASKEXAMPLE_HPP_ */
diff --git a/distributedcombigrid/examples/dealii_example/TaskExample.hpp b/distributedcombigrid/examples/dealii_example/TaskExample.hpp
new file mode 100644
index 000000000..ac50539fe
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/TaskExample.hpp
@@ -0,0 +1,312 @@
+/*
+ * TaskExample.hpp
+ *
+ *  Created on: Sep 25, 2015
+ *      Author: heenemo
+ */
+
+#ifndef TASKEXAMPLE_HPP_
+#define TASKEXAMPLE_HPP_
+
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
+#include "sgpp/distributedcombigrid/task/Task.hpp"
+#include <sstream>
+
+#include <deal.II/base/timer.h>
+#include <deal.II/lac/la_parallel_vector.h>
+#include <hyper.deal.combi/include/functionalities/dynamic_convergence_table.h>
+#include <hyper.deal.combi/include/functionalities/vector_dummy.h>
+#include <hyper.deal.combi/applications/advection_reference_dealii/include/application.h>
+
+namespace combigrid {
+
+class TaskExample : public Task {
+ public:
+  /* if the constructor of the base task class is not sufficient we can provide an
+   * own implementation. here, we add dt, and p as a new parameters.
+   */
+  TaskExample(DimType dim, LevelVector& l, std::vector<bool>& boundary, real coeff,
+              LoadModel* loadModel,std::string filename,  real dt, bool makeExactSolution, IndexVector p = IndexVector(0),
+              FaultCriterion* faultCrit = (new StaticFaults({0, IndexVector(0), IndexVector(0)})) )
+      : Task(dim, l, boundary, coeff, loadModel, faultCrit){
+        dt_=(dt);         
+        make_exact_=(makeExactSolution);
+        p_=(p);
+        initialized_=(false);
+        stepsTotal_=(0);dfg_=(NULL);
+        _filename=(filename);
+      }
+        
+
+  void init(CommunicatorType lcomm,
+            std::vector<IndexVector> decomposition = std::vector<IndexVector>()) {
+    assert(!initialized_);
+    assert(dfg_ == NULL);
+    int lrank;
+    MPI_Comm_rank(lcomm, &lrank);
+
+    /* create distributed full grid. we try to find a balanced ratio between
+     * the number of grid points and the number of processes per dimension
+     * by this very simple algorithm. to keep things simple we require powers
+     * of two for the number of processes here. */
+    int np;
+    MPI_Comm_size(lcomm, &np);
+    // check if power of two
+    if (!((np > 0) && ((np & (~np + 1)) == np)))
+      assert(false && "number of processes not power of two");
+
+    DimType dim = this->getDim();
+    IndexVector p(dim, 1);
+    const LevelVector& l = this->getLevelVector();
+
+    if (p_.size() == 0) {
+      // compute domain decomposition
+      IndexType prod_p(1);
+
+      while (prod_p != static_cast<IndexType>(np)) {
+        DimType dimMaxRatio = 0;
+        real maxRatio = 0.0;
+
+        for (DimType k = 0; k < dim; ++k) {
+          real ratio = std::pow(2.0, l[k]) / p[k];
+
+          if (ratio > maxRatio) {
+            maxRatio = ratio;
+            dimMaxRatio = k;
+          }
+        }
+
+        p[dimMaxRatio] *= 2;
+        prod_p = 1;
+
+        for (DimType k = 0; k < dim; ++k) prod_p *= p[k];
+      }
+    } else {
+      p = p_;
+    }
+
+    if (lrank == 0) {
+      std::cout << "init task " << this->getID() << " with l = " << this->getLevelVector()
+                << " and p = " << p << std::endl;
+    }
+
+    // create local subgrid on each process
+    dfg_ = new DistributedFullGrid<CombiDataType>(dim, l, lcomm, this->getBoundary(), p);
+
+    /* loop over local subgrid and set initial values */
+    Point<Problem::dim_> offset;
+    for(unsigned int i=0;i<dim;i++)
+      offset[i]=l[i]*1.1;
+
+    if(!make_exact_){
+      this->problem = std::make_shared<Problem>(lcomm, table,offset);
+      this->problem->reinit(_filename);
+
+      std::vector<CombiDataType>& elements = dfg_->getElementVector();
+      std::vector<std::array<Number, Problem::dim_ >> element_coords(elements.size());
+      std::vector<std::array<Number, Problem::dim_ + 2>> coords_dealii = problem->get_result();
+      size_result=coords_dealii.size();
+      for (size_t i = 0; i < elements.size(); ++i) {
+        IndexType globalLinearIndex = dfg_->getGlobalLinearIndex(i);
+        std::vector<real> globalCoords(dim);
+        dfg_->getCoordsGlobal(globalLinearIndex, globalCoords);
+        for(size_t l=0; l<dim;++l)
+          element_coords[i][l]=globalCoords[l];
+        
+        elements[i] = 1;
+
+      }
+    
+      int Nx=std::pow(2,l[0])+1;
+      int Ny=std::pow(2,l[1])+1;
+      int Nz=1;
+      if(dim==3)
+        Nz=std::pow(2,l[2])+1;
+      index_mapping.resize(element_coords.size());
+      //this may cause memory problems when working with high discretizations, 
+      std::vector<int> index_sub(Nx*Ny*Nz,-1);
+      
+      int z=0;
+      int x=0,y=0,linearized_index=0;
+      //index mapping is done via hashing:
+      //each point is mapped to its linearized index in the grid -> O(n)
+      
+      for(unsigned int el_index=0;el_index<(element_coords.size());el_index++){
+        
+        x=element_coords[el_index][0]*(Nx-1);
+        y=element_coords[el_index][1]*(Ny-1);      
+        if(dim==2){               
+          linearized_index=y*(Nx)+x;
+        }
+        else if(dim==3){
+          z=element_coords[el_index][2]*(Nz-1); 
+          linearized_index=x+(Nx)*y+z*(Nx)*(Ny);
+        }
+        
+        index_sub[linearized_index]=el_index;
+      }
+      
+      //same for the deal.II points ->O(2n)
+      for(unsigned int x2=0; x2<(coords_dealii.size());x2++){
+        x=std::round(coords_dealii[x2][0]*(Nx-1));
+        y=std::round(coords_dealii[x2][1]*(Ny-1));  
+        if(dim==3)
+          z=std::round(coords_dealii[x2][2]*(Nz-1));
+        linearized_index=(Nx)*y+x+z*(Nx)*(Ny);
+        //            here i get the element that has the same linearized index
+          
+        if(index_sub[linearized_index]!=-1)
+          index_mapping[index_sub[linearized_index]]=x2;
+      }
+    }
+    initialized_ = true;
+  }
+
+  /* this is were the application code kicks in and all the magic happens.
+   * do whatever you have to do, but make sure that your application uses
+  * only lcomm or a subset of it as communicator.
+   * important: don't forget to set the isFinished flag at the end of the computation.
+   */
+
+  
+  void run(CommunicatorType lcomm) {
+    assert(initialized_);
+    table.start("time->fullgrid");
+    if(!make_exact_){
+      
+      std::vector<CombiDataType>& elements = dfg_->getElementVector();
+      
+      std::vector<std::array<Number, Problem::dim_ + 2>> old_result(size_result);
+      // 
+      Stats::startEvent("PointsToDealii");
+      if(stepsTotal_>0 && do_combine)
+      {        
+          for(unsigned int i = 0; i < index_mapping.size(); i++)
+            old_result[index_mapping[i]][Problem::dim_]=elements[i];
+        
+          problem->set_result(old_result);
+      }
+      Stats::stopEvent("PointsToDealii");
+      Stats::startEvent("Task "+std::to_string(this->getID()));
+      Stats::startEvent("Task "+std::to_string(this->getID())+" Dealii_reinit");
+      problem->reinit_time_integration(stepsTotal_*dt_, (stepsTotal_ + 1)*dt_);
+      Stats::stopEvent("Task "+std::to_string(this->getID())+" Dealii_reinit");
+      //process problem
+      Stats::startEvent("Task "+std::to_string(this->getID())+" Dealii_solve");
+      problem->solve();
+      Stats::stopEvent("Task "+std::to_string(this->getID())+" Dealii_solve");
+      Stats::stopEvent("Task "+std::to_string(this->getID()));
+      std::vector<std::array<Number, Problem::dim_ + 2>> result = problem->get_result();
+  
+      for(unsigned int i = 0; i < index_mapping.size(); i++)
+          elements[i]=result[index_mapping[i]][Problem::dim_];
+    
+    }  
+    else{
+      //get the coordinates
+     
+      std::vector<CombiDataType>& elements = dfg_->getElementVector();
+      std::vector<std::array<Number, Problem::dim_ >> element_coords(elements.size());
+      for (size_t i = 0; i < elements.size(); ++i) {
+        IndexType globalLinearIndex = dfg_->getGlobalLinearIndex(i);
+        std::vector<real> globalCoords(dim);
+        dfg_->getCoordsGlobal(globalLinearIndex, globalCoords);
+        for(size_t l=0; l<dim;++l)
+          element_coords[i][l]=globalCoords[l];
+        //the coordinates are now stored in elemen_coords[i]
+        //compute the exact solution on this point and store it in the grid;
+        elements[i] = exactSolution(element_coords[i],(stepsTotal_+1)*dt_);
+
+      }
+    }
+    stepsTotal_ ++;
+    table.stop("time->fullgrid");
+    
+    this->setFinished(true);
+  }
+
+  double exactSolution(std::array<Number, Problem::dim_ > coordinates, double time){
+    double result=1.0;
+    Tensor<1, 3> advection;
+    advection[0]=1;
+    advection[1]=0.15;
+    advection[2]=-0.05;
+    for(unsigned int d = 0; d < Problem::dim_; ++d)
+      result *= std::pow(std::sin((coordinates[d]-time*advection[d])*dealii::numbers::PI),2);
+    
+    return result;    
+  }
+  /* this function evaluates the combination solution on a given full grid.
+   * here, a full grid representation of your task's solution has to be created
+   * on the process of lcomm with the rank r.
+   * typically this would require gathering your (in whatever way) distributed
+   * solution on one process and then converting it to the full grid representation.
+   * the DistributedFullGrid class offers a convenient function to do this.
+   */
+  void getFullGrid(FullGrid<CombiDataType>& fg, RankType r, CommunicatorType lcomm, int n = 0) {
+    assert(fg.getLevels() == dfg_->getLevels());
+
+    dfg_->gatherFullGrid(fg, r);
+  }
+  
+
+  DistributedFullGrid<CombiDataType>& getDistributedFullGrid(int n = 0) { return *dfg_; }
+
+  void setZero() {}
+
+  ~TaskExample() {
+    if (dfg_ != NULL) delete dfg_;
+  }
+
+
+ protected:
+  /* if there are local variables that have to be initialized at construction
+   * you have to do it here. the worker processes will create the task using
+   * this constructor before overwriting the variables that are set by the
+   * manager. here we need to set the initialized variable to make sure it is
+   * set to false. */
+  TaskExample() : make_exact_(false),initialized_(false), stepsTotal_(0), dfg_(NULL) {}
+
+ private:
+  friend class boost::serialization::access;
+
+  // new variables that are set by manager. need to be added to serialize
+  real dt_;       // TODO
+  
+  size_t size_result;
+  std::vector<int> index_mapping;
+  bool make_exact_=false;
+  
+  IndexVector p_;
+  std::shared_ptr<Problem> problem;
+  
+  // pure local variables that exist only on the worker processes
+  bool initialized_;
+  size_t stepsTotal_;
+  DistributedFullGrid<CombiDataType>* dfg_;
+  std::string _filename;
+  /**
+   * The serialize function has to be extended by the new member variables.
+   * However this concerns only member variables that need to be exchanged
+   * between manager and workers. We do not need to add "local" member variables
+   * that are only needed on either manager or worker processes.
+   * For serialization of the parent class members, the class must be
+   * registered with the BOOST_CLASS_EXPORT macro.
+   */
+  template <class Archive>
+  void serialize(Archive& ar, const unsigned int version) {
+    // handles serialization of base class
+    ar& boost::serialization::base_object<Task>(*this);
+
+    // add our new variables
+    ar& dt_;
+    
+    ar& p_;
+    ar& _filename;
+    ar& make_exact_;
+  }
+};
+
+}  // namespace combigrid
+
+#endif /* TASKEXAMPLE_HPP_ */
diff --git a/distributedcombigrid/examples/dealii_example/car.sh b/distributedcombigrid/examples/dealii_example/car.sh
new file mode 100755
index 000000000..64543c001
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/car.sh
@@ -0,0 +1,8 @@
+#!/bin/bash
+cd ../../../
+./compile.sh
+cd distributedcombigrid/examples/dealii_example
+
+make clean
+make
+. ./run2.sh
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/ctparam b/distributedcombigrid/examples/dealii_example/ctparam
new file mode 100644
index 000000000..24b2d0595
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/ctparam
@@ -0,0 +1,15 @@
+[ct] 
+dim=3 
+lmin=4 4 4 
+lmax=9 9 9 
+leval=7 7 7 
+        p= 1 1 1
+ncombi=10 
+FE=FE_Q 
+ 
+[application]
+dt=0.1
+ 
+[manager]
+ngroup = 1
+nprocs = 1
diff --git a/distributedcombigrid/examples/dealii_example/ctparam2 b/distributedcombigrid/examples/dealii_example/ctparam2
new file mode 100644
index 000000000..b6e46c740
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/ctparam2
@@ -0,0 +1,14 @@
+[ct]
+dim=2
+lmin=[1 0 ]
+lmax=[1 0 ]
+leval=[1 0 ]
+p=1 1
+
+ncombi=10
+[application]
+dt=0.001
+steps=100
+[manager]
+ngroup=2
+nprocs=1
diff --git a/distributedcombigrid/examples/dealii_example/dealii_example.cpp b/distributedcombigrid/examples/dealii_example/dealii_example.cpp
new file mode 100644
index 000000000..e4355d855
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/dealii_example.cpp
@@ -0,0 +1,327 @@
+#include <mpi.h>
+#include <boost/property_tree/ini_parser.hpp>
+#include <boost/property_tree/ptree.hpp>
+#include <boost/serialization/export.hpp>
+#include <string>
+#include <vector>
+#include <unistd.h>
+
+// compulsory includes for basic functionality
+#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
+#include "sgpp/distributedcombigrid/fault_tolerance/FaultCriterion.hpp"
+#include "sgpp/distributedcombigrid/fault_tolerance/StaticFaults.hpp"
+#include "sgpp/distributedcombigrid/fault_tolerance/WeibullFaults.hpp"
+#include "sgpp/distributedcombigrid/fullgrid/FullGrid.hpp"
+#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
+#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
+#include "sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp"
+#include "sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp"
+#include "sgpp/distributedcombigrid/manager/ProcessManager.hpp"
+#include "sgpp/distributedcombigrid/task/Task.hpp"
+#include "sgpp/distributedcombigrid/utils/Types.hpp"
+
+#include <deal.II/base/timer.h>
+#include <deal.II/lac/la_parallel_vector.h>
+
+//TODO: global variables needed in hyperdeal
+typedef double Number;
+const unsigned int dim    = 3;
+const unsigned int degree = 1; /*dummy value*/
+typedef dealii::VectorizedArray<Number, 1> VectorizedArrayType;
+typedef dealii::LinearAlgebra::distributed::Vector<Number> VectorType;
+
+//hyperdeal includes
+#include <hyper.deal.combi/include/functionalities/dynamic_convergence_table.h>
+#include <hyper.deal.combi/include/functionalities/vector_dummy.h>
+#include <hyper.deal.combi/applications/advection_reference_dealii/include/application.h>
+
+typedef Application<dim, degree, degree + 1, Number, VectorizedArrayType, VectorType> Problem;
+
+hyperdeal::DynamicConvergenceTable table;
+
+// include user specific task. this is the interface to your application
+
+bool do_combine=true;
+
+
+#include "TaskExample.hpp"
+#include "TaskEnsemble.hpp"
+
+#include "DataConverter.cpp"
+#include "DataConverter.hpp"
+
+using namespace combigrid;
+
+// this is necessary for correct function of task serialization
+BOOST_CLASS_EXPORT(TaskExample)
+BOOST_CLASS_EXPORT(TaskEnsemble)
+BOOST_CLASS_EXPORT(StaticFaults)
+BOOST_CLASS_EXPORT(WeibullFaults)
+BOOST_CLASS_EXPORT(FaultCriterion)
+
+int main(int argc, char** argv) {
+  MPI_Init(&argc, &argv);
+
+  /* when using timers (TIMING is defined in Stats), the Stats class must be
+   * initialized at the beginning of the program. (and finalized in the end)
+   */
+  Stats::initialize();
+  Stats::startEvent("overall computation");
+  // read in parameter file
+  boost::property_tree::ptree cfg;
+  boost::property_tree::ini_parser::read_ini("ctparam", cfg);
+
+  // number of process groups and number of processes per group
+  size_t ngroup = cfg.get<size_t>("manager.ngroup");
+  size_t nprocs = cfg.get<size_t>("manager.nprocs");
+  
+  //transportvector stores transport information in case that the problem is advection. only used to compute the exact solution
+  // from hyper.deal.combi>applications>advection_reference_dealII>cases>hyperreactangle.h which is sin^2
+  LevelVector lmin(dim), lmax(dim), leval(dim);
+  cfg.get<std::string>("ct.lmin") >> lmin;
+  cfg.get<std::string>("ct.lmax") >> lmax;
+  cfg.get<std::string>("ct.leval") >> leval;
+  combigrid::real dt;
+  size_t ncombi;
+  ncombi = cfg.get<size_t>("ct.ncombi");
+  dt = cfg.get<combigrid::real>("application.dt");
+  bool makeExactSol=cfg.get<bool>("exact.makeExact",false);
+  IndexVector p(dim);
+    cfg.get<std::string>("ct.p") >> p;
+  if(makeExactSol){
+    
+    dt=dt*ncombi;
+    ncombi=1;      
+    lmax=leval;
+    lmin=leval;
+  }
+  
+    do_combine=cfg.get<bool>("ct.DO_COMBINE",do_combine);
+    std::cout<<"Kombinieren:" <<do_combine << std::endl;
+  // divide the MPI processes into process group and initialize the
+  // corresponding communicators
+  theMPISystem()->init(ngroup, nprocs);
+
+  // this code is only executed by the manager process
+  WORLD_MANAGER_EXCLUSIVE_SECTION {
+    /* create an abstraction of the process groups for the manager's view
+     * a pgroup is identified by the ID in gcomm
+     */
+    ProcessGroupManagerContainer pgroups;
+    for (size_t i = 0; i < ngroup; ++i) {
+      int pgroupRootID(i);
+      pgroups.emplace_back(std::make_shared<ProcessGroupManager>(pgroupRootID));
+    }
+
+    // create load model
+    std::unique_ptr<LoadModel> loadmodel = std::unique_ptr<LoadModel>(new LinearLoadModel());
+
+
+    /* read in parameters from ctparam */
+    DimType dim = cfg.get<DimType>("ct.dim");
+    
+    bool isdg=("FE_DGQ"==cfg.get<std::string>("ct.FE","FE_Q"));
+    
+    
+    
+    
+
+    Converter converter;
+    // TODO: read in boundary vector from ctparam
+    std::vector<bool> boundary(dim, true);
+    // use no hierarchization in this example
+    std::vector<bool> hierarchizationDims(dim, true);
+
+    // check whether parallelization vector p agrees with nprocs
+    IndexType checkProcs = 1;
+    for (auto k : p) checkProcs *= k;
+    assert(checkProcs == IndexType(nprocs));
+
+    /* generate a list of levelvectors and coefficients
+     * CombiMinMaxScheme will create a classical combination scheme.
+     * however, you could also read in a list of levelvectors and coefficients
+     * from a file */
+    CombiMinMaxScheme combischeme(dim, lmin, lmax);
+    combischeme.createAdaptiveCombischeme();
+    std::vector<LevelVector> levels = combischeme.getCombiSpaces();
+    std::vector<combigrid::real> coeffs = combischeme.getCoeffs();
+
+    //Calculate the number of degrees of freedom.
+    int number_points=0;
+    for(int i=0; i<levels.size();i++){  
+        if(dim==2)  {
+          number_points+=coeffs[i]*(pow(2,int(levels[i][0]))+1)*(pow(2,int(levels[i][1]))+1);
+        }
+        else if(dim==3){
+          number_points+=coeffs[i]*(pow(2,int(levels[i][0]))+1)*(pow(2,int(levels[i][1]))+1)*(pow(2,int(levels[i][2]))+1);
+        }
+    }
+    if(isdg){
+      number_points=0;
+      for(int i=0; i<levels.size();i++){  
+          if(dim==2)  {
+            int dof=4;
+            dof+=4*(pow(2,int(levels[i][0]))-1)*(pow(2,int(levels[i][1]))-1);
+            
+            //kanten 2 dofs aber gibt es 2 mal:
+            dof+=4*(pow(2,int(levels[i][0]))-2+pow(2,int(levels[i][1])));
+
+            number_points+=coeffs[i]*dof;
+          }
+          else if(dim==3){
+            int dof=8;
+            //inner points with 8 dofs: check
+            dof+=8*(pow(2,int(levels[i][0]))-1)*(pow(2,int(levels[i][1]))-1)*(pow(2,int(levels[i][2]))-1);
+            std::cout<<"DOF:"<<dof<<std::endl;
+            //outer flache, jede Fläche 2 mal mit 4 dof:
+            dof+=8*((pow(2,int(levels[i][0]))-1)*(pow(2,int(levels[i][1]))-1) + (pow(2,int(levels[i][2]))-1)*(pow(2,int(levels[i][1]))-1) +(pow(2,int(levels[i][0]))-1)*(pow(2,int(levels[i][2]))-1));
+            std::cout<<"DOF:"<<dof<<std::endl;
+            //kanten 2 dofs aber gibt es 4 mal check:
+            dof+=8*(pow(2,int(levels[i][0]))-3+pow(2,int(levels[i][1]))+pow(2,int(levels[i][2])));
+            std::cout<<"DOF:"<<dof<<std::endl;
+
+            number_points+=coeffs[i]*dof;
+          }
+      }
+    }
+    std::cout << "Number of points:"<<number_points<<std::endl;
+    // output combination scheme
+    std::cout << "lmin = " << lmin << std::endl;
+    std::cout << "lmax = " << lmax << std::endl;
+    std::cout << "CombiScheme: " << std::endl;
+    std::cout << combischeme << std::endl;
+    std::cout << "Levels:" << std::endl;
+    //std::cout << levels << std::endl;
+
+    // create Tasks
+    TaskContainer tasks;
+    std::vector<int> taskIDs;
+    for (size_t i = 0; i < levels.size(); i++) {
+      std::string file_name = "deal_config/"+std::string("p")+std::to_string(i)+".json";
+      converter.toJSONForDealII("ctparam",file_name, levels[i],i);
+      usleep(10);
+      Task* t;
+
+      if(!isdg){
+        t = new TaskExample(dim, levels[i], boundary, coeffs[i], loadmodel.get(),file_name, dt, makeExactSol, p);
+        tasks.push_back(t);
+        taskIDs.push_back(t->getID());
+      }
+      else{
+        t = new TaskEnsemble(dim, levels[i], boundary, coeffs[i], loadmodel.get(),file_name, dt, makeExactSol, p);
+        tasks.push_back(t);
+        taskIDs.push_back(t->getID());
+      }
+      
+    }
+    
+    //gridout.write_pvtu
+
+    // create combiparameters
+    //dim, lmin,lmax kann ich aus json lesen.
+    //boundary i have to read from ct params but how
+    // levels is just array of levels between lim and lmax
+    //taskID for each level we create a new task and here are the IDs
+    CombiParameters params( dim, lmin, lmax, boundary, levels,
+                            coeffs, hierarchizationDims, taskIDs, ncombi, tasks[0]->getNumGrids());//, reduceCombinationDimsLmin, reduceCombinationDimsLmax);
+
+    params.setParallelization(p);
+    // create abstraction for Manager
+    ProcessManager manager(pgroups, tasks, params, std::move(loadmodel));
+
+    // the combiparameters are sent to all process groups before the
+    // computations start
+    manager.updateCombiParameters();
+
+    /* distribute task according to load model and start computation for
+     * the first time */
+    Stats::startEvent("manager run first");
+    manager.runfirst();
+    Stats::stopEvent("manager run first");
+    Stats::startEvent("correct computation");
+    
+    std::chrono::nanoseconds duration_combination=std::chrono::nanoseconds::zero();
+    for (size_t i = 1; i < ncombi; ++i) {
+      Stats::startEvent("combine");
+      if(do_combine){
+        manager.combine();
+      }
+      Stats::stopEvent("combine");
+
+      
+
+
+      // run tasks for next time interval
+      Stats::startEvent("manager run");
+      manager.runnext();
+      Stats::stopEvent("manager run");
+      table.print(false);
+    }
+    manager.combine();
+    
+    //std::cout<< (TaskEnsemble)tasks[0]->dfgEnsemble_<<std::endl;
+    Stats::stopEvent("correct computation");
+      // evaluate solution and
+      // write solution to file
+
+      std::string com=do_combine?"_combi_true":"_combi_false";
+      std::string filename="";
+      if(makeExactSol){
+        filename=("out/"+cfg.get<std::string>("ct.FE","FE_Q")+"/exact_solution_level"+ toString(lmin)+".dat");
+      }
+      else
+        filename=("out/"+cfg.get<std::string>("ct.FE","FE_Q")+"/csmi_"+toString(lmin)+"_ma_"+toString(lmax)+"_ev_"+toString(leval)+com+std::to_string(ncombi)+".dat");
+     
+      Stats::startEvent("manager write solution");
+      manager.parallelEval(leval, filename, 0);
+      Stats::stopEvent("manager write solution");
+      
+    //table.stop_and_set("time->fullgrid");
+    //table.print(false);
+    // send exit signal to workers in order to enable a clean program termination
+    manager.exit();
+    {
+      
+      DataOut<1> gridout;
+      std::vector<std::pair<double, std::string>> pvd_labels;
+      for(unsigned int t = 0; t< ncombi; t++ )
+      {
+        std::vector<std::string> pvtu_labels;
+        for(unsigned int l = 0; l< levels.size(); l++ )
+          pvtu_labels.push_back("solution_" +  std::to_string(l) + "_" + Utilities::int_to_string(t, 3) + ".vtu");
+
+        pvd_labels.emplace_back(t, "solution_" + std::to_string(t) + ".pvtu");
+        std::ofstream outfile ("solution/solution_" + std::to_string(t) + ".pvtu");
+        gridout.write_pvtu_record(outfile, pvtu_labels);
+      }
+      
+      std::ofstream outfile ("solution/solution.pvd");
+      DataOutBase::write_pvd_record(outfile, pvd_labels);
+      
+    }
+  }
+
+  // this code is only execute by the worker processes
+  else {
+    // create abstraction of the process group from the worker's view
+    ProcessGroupWorker pgroup;
+
+    // wait for instructions from manager
+    SignalType signal = -1;
+
+    while (signal != EXIT) signal = pgroup.wait();
+  }
+  Stats::stopEvent("overall computation");
+  Stats::finalize();
+  
+  /* write stats to json file for postprocessing */
+  std::string filepath="timers/helium/"+cfg.get<std::string>("ct.FE","FE_Q")+(do_combine ? "true": "false")+"/p_"+toString(p)+"_mi_"+toString(lmin)+"_ma_"+toString(lmax)+"_ngroup_"+std::to_string(ngroup)+"_ncombi_"+std::to_string(ncombi)+".json";
+    std::cout<<"Kombinieren:" <<do_combine <<"Filepath"<< filepath << std::endl;
+
+  Stats::write(filepath);
+
+
+  MPI_Finalize();
+  
+  return 0;
+}
diff --git a/distributedcombigrid/examples/dealii_example/full_tests.sh b/distributedcombigrid/examples/dealii_example/full_tests.sh
new file mode 100644
index 000000000..a6dddc19c
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/full_tests.sh
@@ -0,0 +1,87 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+
+dt=1
+
+max_proc=16
+p="1 1 1"
+for comp_type_num in 0 1; do
+    if (($comp_type_num == 0))
+    then 
+    comp_type="Q"
+    elif (($comp_type_num == 1))
+    then 
+    comp_type="DGQ"
+    fi
+
+    for processes in 1 2 8 16; do
+        if ((processes>1))
+        then 
+        if (($comp_type_num == 1))
+        then
+        continue
+        fi
+        fi
+        if ((processes==1))
+        then 
+        p="1 1 1"
+        elif ((processes==2))
+        then 
+        p="1 2 1"
+        elif ((processes==8))
+        then
+        p="2 2 2"
+        elif ((processes==16))
+        then
+        p="4 2 2"
+        fi
+        (( proc_1=$processes+1))
+        echo -e "rm  solution/*
+        rm deal_config/*
+        mpirun -np $proc_1 ./dealii_example" > run2.sh
+                
+        for ncombi in 10 100; do
+            if ((ncombi == 10)) 
+            then
+                dt=0.1
+            else 
+                dt=0.01
+            fi
+            for DO_COMBINE in "true" "false"; do
+                echo "$comp_type DO_COMBINE=$DO_COMBINE now ncombi=$ncombi, p=$p">> L2_errors.dat
+                for ((lmax=2;lmax<=9;lmax++)); do
+                    echo "lmax=$lmax"
+                    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+                    p= $p\nncombi=$ncombi \nFE=FE_$comp_type \n DO_COMBINE=$DO_COMBINE \n[application]\ndt=$dt\n \n[manager]\nngroup = 1\nnprocs = $processes \n [exact] \n makeExact=true" > ctparam
+                    sh  ./run2.sh
+                    referencesolution="out/FE_$comp_type/exact_solution_level$lmax,$lmax,$lmax.dat0"
+                    for ((lmin=1;lmin<=lmax;lmin ++)); do
+                        if ((lmin>3 ))
+                        then
+                        if ((lmin<lmax))
+                        then
+                        continue
+                        fi
+                        if ((lmax>7))
+                        then 
+                        continue
+                        fi
+                        fi
+                        
+                        echo "lmin=$lmin" >> log
+                        #create ctparam
+                        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+                        p= $p\nncombi=$ncombi \nFE=FE_$comp_type \n DO_COMBINE=$DO_COMBINE \n[application]\ndt=$dt\n \n[manager]\nngroup = 1\nnprocs = $processes \n [exact] \n makeExact=false" > ctparam
+                        sh  ./run2.sh
+                        fileOne="out/FE_$comp_type/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_$DO_COMBINE.dat0"
+                        
+                        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat ${comp_type}_${DO_COMBINE}_${ncombi}_${lmin}_${lmax}=
+                    done
+                done
+            done
+        done
+    done
+done
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/graph.gnu b/distributedcombigrid/examples/dealii_example/graph.gnu
new file mode 100644
index 000000000..9aa65513f
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/graph.gnu
@@ -0,0 +1,18 @@
+#!/bin/gnuplot
+
+#set terminal pngcairo size 800,600 enhanced font "Verdana,10"
+set mouse
+set xrange [0:1]
+set yrange [0:1]
+set zrange [-2:2]
+set cbrange [-1:1] 
+set xlabel "x"
+set ylabel "y"
+set style line 1 lt -1 lw 0.3
+set pm3d hidden3d 1
+do for [i = 1:10] {
+    splot "out/solution.dat" index (i-1) using 1:2:3 with pm3d
+    pause 0.2
+}
+reread
+pause mouse keypress
diff --git a/distributedcombigrid/examples/dealii_example/hyperrectangle.json b/distributedcombigrid/examples/dealii_example/hyperrectangle.json
new file mode 100644
index 000000000..c99b886c7
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/hyperrectangle.json
@@ -0,0 +1,30 @@
+{
+    "General": {
+        "Dim": 2,
+        "Degree": 3,
+        "Case": "hyperrectangle"
+    },
+    "Case": {
+        "NRefinements": 4,
+        "NSubdivisions": {"X" : 1, "Y" : 1, "Z" : 1},
+        "Periodic": true,
+        "Curved": false
+    },
+    "SpatialDiscretization" : {
+        "TriangulationType": "FullyDistributed",
+        "Mapping": 1,
+        "FE": "FE_Q"
+    },
+    "TemporalDiscretization": {
+        "FinalTime": 2.0,
+        "CFLNumber": 0.15
+    },
+    "Postprocessing" : {
+        "StandardOutput": {
+            "Tick": 0.25
+        },
+        "VTK" : {
+            "Enabled": false
+        }
+    }
+}
diff --git a/distributedcombigrid/examples/dealii_example/l2_error.dat b/distributedcombigrid/examples/dealii_example/l2_error.dat
new file mode 100644
index 000000000..5b2ed2743
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/l2_error.dat
@@ -0,0 +1,58 @@
+2_2_7 0,000129376
+2_3_7 8,2764e-05
+3_3_7 1,15933e-05
+2_4_7 8,85572e-05
+3_4_7 0,000101612
+4_4_7 4,05003e-05
+2_5_7 0,000114802
+3_5_7 6,48077e-05
+4_5_7 0,000100753
+5_5_7 5,22726e-05
+2_6_7 0,000105084
+3_6_7 0,000123558
+4_6_7 6,6912e-05
+5_6_7 0,00010319
+6_6_7 5,52499e-05
+2_7_7 0,000116699
+3_7_7 7,44093e-05
+4_7_7 0,000123279
+5_7_7 7,30191e-05
+6_7_7 0,000116497
+7_7_7 0
+2_8_7 0,000102838
+3_8_7 0,000114051
+4_8_7 5,59231e-05
+5_8_7 0.000109447
+6_8_7 2.24305e-06
+2_9_7 0.000102393
+3_9_7 6.41268e-05
+2_2_7 0.000150068
+2_3_7 8.7508e-05
+3_3_7 5.936e-05
+2_4_7 8.19009e-05
+3_4_7 8.57386e-05
+4_4_7 1.57991e-05
+2_2_7 0.000150068
+2_3_7 8.7508e-05
+3_3_7 5.936e-05
+2_4_7 8.19009e-05
+3_4_7 8.57386e-05
+4_4_7 1.57991e-05
+2_5_7 9.74648e-05
+3_5_7 5.40534e-05
+4_5_7 9.02521e-05
+5_5_7 3.82306e-06
+2_6_7 9.79029e-05
+3_6_7 0.000109122
+4_6_7 4.87784e-05
+5_6_7 9.4675e-05
+6_6_7 7.70989e-07
+6_7_7 0.000109402
+7_7_7 0
+2_8_7 0.000102838
+3_8_7 0.000114051
+4_8_7 5.59231e-05
+5_8_7 0.000109447
+6_8_7 2.24305e-06
+2_9_7 0.000102393
+3_9_7 6.41268e-05
diff --git a/distributedcombigrid/examples/dealii_example/l2_error_combi.dat b/distributedcombigrid/examples/dealii_example/l2_error_combi.dat
new file mode 100644
index 000000000..0f28a4efd
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/l2_error_combi.dat
@@ -0,0 +1,1106 @@
+
+\n now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00629792
+3_3 0.00643861
+2_4 0.00224938
+3_4 0.00228763
+4_4 0.00229119
+2_5 0.000816689
+3_5 0.000822495
+4_5 0.000823236
+5_5 0.000823311
+2_6 0.000292276
+3_6 0.000292982
+4_6 0.000293082
+5_6 0.000293097
+6_6 0.000293098
+2_7 0.000103827
+3_7 0.000103903
+4_7 0.000103914
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=100 und dt=0.01
+\n now ncombi=10 und dt=0.1
+2_2 0.0266899
+2_3 0.00626623
+3_3 0.00643861
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+2_7 0.000103818
+3_7 0.000103902
+7_7 0.000103917
+//up to here everythin is combining
+
+//below is just without combining
+\n now ncombi=10 und dt=0.1 and lmax=7
+2_7 0.000103749
+3_7 0.000103896
+7_7 0.000103917
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00629792
+3_3 0.00643861
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00629792
+3_3 0.00643861
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+
+##############################################################################################################
+##############################################################################################################
+##############################################################################################################
+##############################################################################################################
+##############################################################################################################
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00629792
+3_3 0.00643861
+2_4 0.00224938
+3_4 0.00228763
+4_4 0.00229119
+2_5 0.000816689
+3_5 0.000822495
+5_5 0.000823311
+2_6 0.000292276
+3_6 0.000292982
+6_6 0.000293098
+2_7 0.000103827
+3_7 0.000103903
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00606264
+3_3 0.00643861
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+2_6 0.000291574
+3_6 0.000292917
+6_6 0.000293098
+2_7 0.000103749
+\n DG with combination now ncombi=100 und dt=0.01
+2_2 1.48659e-07
+2_3 0.00276725
+3_3 2.59927e-09
+2_4 0.000753363
+3_4 0.000295478
+4_4 6.41646e-11
+2_5 0.000329289
+3_5 0.000145642
+5_5 1.47861e-12
+2_6 0.000117065
+3_6 4.88595e-05
+6_6 1.5538e-14
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 1.48659e-07
+2_3 0.00150182
+3_3 2.59927e-09
+2_4 0.000622322
+3_4 0.000179942
+4_4 6.41646e-11
+2_5 0.000208729
+3_5 8.4627e-05
+5_5 1.47861e-12
+2_6 6.4117e-05
+3_6 3.04105e-05
+\n DG without combination now ncombi=100 und dt=0.01
+6_6 1.5538e-14
+\n DG with combination now ncombi=100 und dt=0.01
+2_2 1.48659e-07
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 1.48659e-07
+2_3 0.00150182
+3_3 2.59927e-09
+2_4 0.000622322
+3_4 0.000179942
+4_4 6.41646e-11
+2_5 0.000208729
+3_5 8.4627e-05
+5_5 1.47861e-12
+2_6 6.4117e-05
+3_6 3.04105e-05
+\n DG with combination now ncombi=100 und dt=0.01
+\n DG with combination now ncombi=100 und dt=0.01
+2_4 0.000753363
+3_4 0.000295478
+4_4 6.41646e-11
+2_5 0.000329289
+3_5 0.000145642
+5_5 1.47861e-12
+2_6 0.000117065
+3_6 4.88595e-05
+6_6 1.5538e-14
+\n DG with combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=100 und dt=0.01
+2_4 0.000622324
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 8.25093e-08
+3_3 1.56672e-09
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 7.416e-08
+3_3 1.43386e-09
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 7.85294e-08
+3_3 1.50855e-09
+\n DG with combination now ncombi=100 und dt=0.01
+2_3 0.00276725
+3_3 2.59927e-09
+\n DG with combination now ncombi=100 und dt=0.01
+2_3 0.00276725
+3_3 2.59927e-09
+\n DG without combination now ncombi=100 und dt=0.01, now just fullgrids
+2_2 0.0343011
+3_3 0.0134302
+4_4 0.00418683
+---------------------------------------------------------------------------------------------------------------------------------
+-----------                                         Neue DG-Fehler berechnung                                         -----------
+---------------------------------------------------------------------------------------------------------------------------------\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.0343011
+2_3 0.0134407
+3_3 0.0134302
+2_4 0.0041792
+3_4 0.00418165
+4_4 0.00418683
+2_5 0.0012515
+3_5 0.001254
+5_5 0.00125575
+2_6 0.000382095
+3_6 0.000382874
+
+6_6 0.000383114
+\n DG without combination now ncombi=10 und dt=0.1
+2_2 0.0343011
+2_3 0.0134407
+3_3 0.0134302
+2_4 0.0041792
+3_4 0.00418165
+4_4 0.00418683
+2_5 0.0012515
+3_5 0.001254
+\n DG without combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.034301
+2_3 0.0134407
+3_3 0.0134302
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.034301
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.034301
+2_3 0.0134407
+3_3 0.0134302
+\n DG with combination now ncombi=100 und dt=0.01
+2_2 0.034301
+2_3 0.0113699
+3_3 0.0134302
+2_4 0.00395265
+3_4 0.00426782
+4_4 0.00418683
+2_5 0.00124097
+3_5 0.0012744
+5_5 0.00125575
+2_6 0.000367075
+3_6 0.000375228
+6_6 0.000383114
+\n DG with combination now ncombi=10 und dt=0.1
+2_2 0.0343013
+2_3 0.0114942
+3_3 0.0134302
+2_4 0.00379536
+3_4 0.00415372
+4_4 0.00418683
+2_5 0.00124204
+3_5 0.00125369
+5_5 0.00125575
+2_6 0.000387269
+3_6 0.000382135
+6_6 0.000383114
+\n DG without combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.0268052
+2_3 0.00955384
+3_3 0.00970239
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.0268052
+2_3 0.00955384
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.0237579
+2_3 0.00897942
+3_3 0.00936738
+2_4 0.00323954
+3_4 0.00338916
+4_4 0.00342167
+2_5 0.00118433
+3_5 0.00122499
+5_5 0.00123783
+2_6 0.000430747
+3_6 0.000440278
+6_6 0.000443755
+\n DG without combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=10 und dt=0.1
+2_2 0.0237579
+2_3 0.00897942
+3_3 0.00936738
+2_4 0.00323954
+3_4 0.00338916
+4_4 0.00342167
+2_5 0.00118433
+3_5 0.00122499
+5_5 0.00123783
+2_6 0.000430747
+3_6 0.000440278
+6_6 0.000443755
+\n DG with combination now ncombi=100 und dt=0.01
+2_2 0.0237579
+2_3 0.00899969
+3_3 0.00936738
+2_4 0.00323021
+3_4 0.00336916
+4_4 0.00342167
+2_5 0.0011759
+3_5 0.00121804
+5_5 0.00123783
+2_6 0.000428148
+3_6 0.000438632
+6_6 0.000443755
+\n DG with combination now ncombi=10 und dt=0.1
+2_2 0.0237579
+2_3 0.00897686
+3_3 0.00936738
+2_4 0.00322722
+3_4 0.00337436
+4_4 0.00342167
+2_5 0.0011778
+3_5 0.00122032
+5_5 0.00123783
+2_6 0.000428975
+3_6 0.00043927
+6_6 0.000443755
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0246825
+2_3 0.0102059
+3_3 0.0103866
+2_4 0.0036361
+3_4 0.00366973
+4_4 0.00367281
+2_5 0.00128316
+3_5 0.00128775
+5_5 0.00128835
+2_6 0.000452582
+3_6 0.00045313
+6_6 0.000453212
+\n CG with combination now ncombi=10 und dt=0.1
+2_2 0.0246825
+2_3 0.0102059
+3_3 0.0103866
+2_4 0.0036361
+3_4 0.00366973
+4_4 0.00367281
+2_5 0.00128316
+3_5 0.00128775
+5_5 0.00128835
+2_6 0.000452582
+3_6 0.00045313
+6_6 0.000453212
+\n CG without combination now ncombi=100 und dt=0.01
+2_2 0.0246825
+2_3 0.0102059
+3_3 0.0103866
+2_4 0.0036361
+3_4 0.00366973
+4_4 0.00367281
+2_5 0.00128316
+3_5 0.00128775
+5_5 0.00128835
+2_6 0.000452582
+3_6 0.00045313
+6_6 0.000453212
+\n CG without combination now ncombi=10 und dt=0.1
+2_2 0.0246825
+2_3 0.0102059
+3_3 0.0103866
+2_4 0.0036361
+3_4 0.00366973
+4_4 0.00367281
+2_5 0.00128316
+3_5 0.00128775
+5_5 0.00128835
+2_6 0.000452582
+3_6 0.00045313
+6_6 0.000453212
+\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0246825
+2_3 0.0102059
+3_3 0.0103866
+2_4 0.0036361
+3_4 0.00366973
+4_4 0.00367281
+2_5 0.00128316
+3_5 0.00128775
+\n CG with combination now ncombi=100 und dt=0.01
+//////////////////////////////////////////////////////////////////////////
+ |||||     now with the right advection                           ||||||||
+\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n CG with combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00629792
+3_3 0.00643861
+2_4 0.00224938
+3_4 0.00228763
+4_4 0.00229119
+2_5 0.000816689
+3_5 0.000822495
+5_5 0.000823311
+2_6 0.000292276
+3_6 0.000292982
+6_6 0.000293098
+\n CG with combination now ncombi=10 und dt=0.1
+2_2 0.02669
+2_3 0.00626623
+3_3 0.00643861
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+\n CG without combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00606264
+3_3 0.00643861
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+2_6 0.000291574
+3_6 0.000292917
+6_6 0.000293098
+\n CG without combination now ncombi=10 und dt=0.1
+2_2 0.02669
+2_3 0.00606266
+3_3 0.00643861
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+2_6 0.000291575
+3_6 0.000292917
+6_6 0.000293098
+\n DG with combination now ncombi=100 und dt=0.01
+2_2 0.034301
+2_3 0.0113699
+3_3 0.0134302
+2_4 0.00395265
+3_4 0.00426782
+4_4 0.00418683
+2_5 0.00124097
+3_5 0.0012744
+5_5 0.00125575
+2_6 0.000367075
+3_6 0.000375228
+6_6 0.000383114
+\n DG with combination now ncombi=10 und dt=0.1
+2_2 0.0343013
+2_3 0.0114942
+3_3 0.0134302
+2_4 0.00379536
+3_4 0.00415372
+4_4 0.00418683
+2_5 0.00124204
+3_5 0.00125369
+5_5 0.00125575
+2_6 0.000387269
+3_6 0.000382135
+6_6 0.000383114
+\n DG without combination now ncombi=100 und dt=0.01
+\n DG without combination now ncombi=10 und dt=0.1
+2_2 0.0343013
+2_3 0.0134405
+3_3 0.0134302
+2_4 0.00417922
+3_4 0.00418164
+4_4 0.00418683
+2_5 0.0012515
+3_5 0.00125401
+5_5 0.00125575
+2_6 0.000382095
+3_6 0.000382874
+6_6 0.000383114
+\n DG without combination now ncombi=100 und dt=0.01
+2_2 0.034301
+2_3 0.0134407
+3_3 0.0134302
+2_4 0.0041792
+3_4 0.00418165
+4_4 0.00418683
+2_5 0.0012515
+3_5 0.001254
+5_5 0.00125575
+2_6 0.000382095
+3_6 0.000382874
+6_6 0.000383114
+\n CG without combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=10 und dt=0.1
+1_2 0.0293386
+1_3 0.00588322
+1_4 0.00210106
+1_5 0.000787399
+1_6 0.000287569
+1_7 0.000103166
+\n CG with combination now ncombi=10 und dt=0.1 and 2d
+2_2 0.0822434
+2_3 0.0281404
+3_3 0.028713
+2_4 0.0145751
+3_4 0.0147232
+4_4 0.0147363
+2_5 0.0075323
+3_5 0.00755791
+5_5 0.00756134
+2_6 0.00382314
+3_6 0.00382698
+6_6 0.00382762
+2_7 0.00192416
+3_7 0.00192472
+7_7 0.00192483
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=10 und dt=0.1
+2_2 0.0274587
+2_3 0.00812509
+3_3 0.00793864
+2_4 0.00262844
+3_4 0.00259012
+4_4 0.00258571
+2_5 0.00088139
+3_5 0.000878454
+5_5 0.00087782
+2_6 0.000302928
+3_6 0.000303238
+6_6 0.000303006
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+1_2 0.0274921
+1_3 0.00583837
+1_4 0.00212887
+\n CG with combination now ncombi=100 und dt=0.01
+1_2 0.0273736
+1_3 0.0058183
+1_4 0.00213429
+1_5 0.000796045
+1_6 0.000289096
+1_7 0.000103409
+\n CG without combination now ncombi=10 und dt=0.1
+1_2 0.0274921
+1_3 0.00583837
+1_4 0.00212887
+1_5 0.00079441
+1_6 0.000288777
+1_7 0.000103352
+\n CG without combination now ncombi=100 und dt=0.01
+2_2 0.0266899
+2_3 0.00606264
+3_3 0.00643861
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+2_6 0.000291574
+3_6 0.000292917
+6_6 0.000293098
+2_7 0.000103749
+3_7 0.000103896
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n CG with combination now ncombi=100 und dt=0.01
+\n DG with combination now ncombi=10 und dt=0.1 and 2d
+\n DG with combination now ncombi=10 und dt=0.1 and 2d
+1_2 0.0580102
+2_2 0.0675694
+1_3 0.0276098
+2_3 0.0343848
+3_3 0.0370117
+1_4 0.0153124
+2_4 0.0171009
+3_4 0.0175143
+4_4 0.0175446
+1_5 0.00793096
+2_5 0.00820126
+3_5 0.00829545
+5_5 0.00833637
+1_6 0.00367004
+2_6 0.00394475
+3_6 0.00401112
+6_6 0.00403111
+1_7 0.00189388
+2_7 0.00195554
+3_7 0.00197237
+7_7 0.00197703
+\n CG with combination now ncombi=100 und dt=0.01
+1_2 0.0284694
+2_2 0.0281218
+1_3 0.00643819
+2_3 0.00687611
+3_3 0.00699008
+1_4 0.0021234
+2_4 0.00226421
+3_4 0.00231903
+4_4 0.00232807
+1_5 0.000772981
+2_5 0.000809242
+\n CG with combination now ncombi=100 und dt=0.01
+1_2 0.0273736
+2_2 0.0266899
+1_3 0.0058183
+2_3 0.00629792
+3_3 0.00643861
+1_4 0.00213429
+2_4 0.00224938
+3_4 0.00228763
+4_4 0.00229119
+1_5 0.000796045
+2_5 0.000816689
+3_5 0.000822495
+5_5 0.000823311
+1_6 0.000289096
+2_6 0.000292276
+3_6 0.000292982
+6_6 0.000293098
+\n CG with combination now ncombi=10 und dt=0.1
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+1_9 1.30057e-05
+2_9 1.30115e-05
+3_9 1.30124e-05
+\n CG without combination now ncombi=100 und dt=0.01
+1_2 0.0293386
+2_2 0.0266899
+1_3 0.00588322
+2_3 0.00606264
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+2_6 0.000291574
+3_6 0.000292917
+6_6 0.000293098
+\n CG without combination now ncombi=10 und dt=0.1
+1_2 0.0293386
+2_2 0.02669
+1_3 0.00588322
+2_3 0.00606266
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+2_6 0.000291575
+3_6 0.000292917
+6_6 0.000293098
+1_7 0.000103166
+2_7 0.000103749
+3_7 0.000103896
+1_8 3.66919e-05
+2_8 3.6767e-05
+\n CG without combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=10 und dt=0.1
+1_9 1.30019e-05
+2_9 1.30108e-05
+\n CG without combination now ncombi=100 und dt=0.01
+1_2 0.0293386
+2_2 0.0266899
+1_3 0.00588322
+2_3 0.00606264
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+\n CG without combination now ncombi=100 und dt=0.01
+\n CG without combination now ncombi=100 und dt=0.01
+1_2 0.0293386
+2_2 0.0266899
+1_3 0.00588322
+2_3 0.00606264
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+2_6 0.000291574
+3_6 0.000292917
+6_6 0.000293098
+\n CG without combination now ncombi=10 und dt=0.1
+1_2 0.0293386
+2_2 0.02669
+1_3 0.00588322
+2_3 0.00606266
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+2_6 0.000291575
+3_6 0.000292917
+6_6 0.000293098
+1_7 0.000103166
+2_7 0.000103749
+3_7 0.000103896
+1_8 3.66919e-05
+2_8 3.6767e-05
+3_8 3.67824e-05
+\n CG with combination now ncombi=100 und dt=0.01
+1_2 0.0273736
+2_2 0.0266899
+1_3 0.0058183
+2_3 0.00629792
+3_3 0.00643861
+1_4 0.00213429
+2_4 0.00224938
+3_4 0.00228763
+4_4 0.00229119
+1_5 0.000796045
+2_5 0.000816689
+3_5 0.000822495
+5_5 0.000823311
+1_6 0.000289096
+2_6 0.000292276
+3_6 0.000292982
+6_6 0.000293098
+\n CG with combination now ncombi=10 und dt=0.1
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+\n DG with combination now ncombi=100 und dt=0.01
+1_2 0.0261178
+2_2 0.034301
+1_3 0.00741749
+2_3 0.0113699
+3_3 0.0134302
+1_4 0.00266553
+2_4 0.00395265
+3_4 0.00426782
+4_4 0.00418683
+1_5 0.00112338
+2_5 0.00124097
+3_5 0.0012744
+5_5 0.00125575
+1_6 0.000338647
+2_6 0.000367075
+3_6 0.000375228
+6_6 0.000383114
+\n DG with combination now ncombi=10 und dt=0.1
+1_2 0.0265993
+2_2 0.0343013
+1_3 0.00748201
+2_3 0.0114942
+3_3 0.0134302
+1_4 0.00274756
+2_4 0.00379536
+3_4 0.00415372
+4_4 0.00418683
+1_5 0.00117687
+2_5 0.00124204
+3_5 0.00125369
+5_5 0.00125575
+1_6 0.000385102
+2_6 0.000387269
+3_6 0.000382135
+6_6 0.000383114
+\n DG without combination now ncombi=100 und dt=0.01
+1_2 0.0363669
+2_2 0.034301
+1_3 0.0141041
+2_3 0.0134407
+3_3 0.0134302
+1_4 0.00432426
+2_4 0.0041792
+3_4 0.00418165
+4_4 0.00418683
+1_5 0.00127838
+\n DG without combination now ncombi=100 und dt=0.01
+1_2 0.0363669
+2_2 0.034301
+\n DG without combination now ncombi=100 und dt=0.01
+1_5 0.00127838
+2_5 0.0012515
+3_5 0.001254
+5_5 0.00125575
+1_6 0.000385311
+2_6 0.000382095
+3_6 0.000382874
+6_6 0.000383114
+\n DG without combination now ncombi=10 und dt=0.1
+1_2 0.0363643
+2_2 0.0343013
+1_3 0.0141044
+2_3 0.0134405
+3_3 0.0134302
+1_4 0.00432419
+2_4 0.00417922
+3_4 0.00418164
+4_4 0.00418683
+1_5 0.00127839
+2_5 0.0012515
+3_5 0.00125401
+5_5 0.00125575
+1_6 0.000385314
+2_6 0.000382095
+3_6 0.000382874
+6_6 0.000383114
+\n DG with combination now ncombi=100 und dt=0.01
+1_2 0.0261178
+2_2 0.034301
+1_3 0.00741749
+2_3 0.0113699
+3_3 0.0134302
+1_4 0.00266553
+2_4 0.00395265
+3_4 0.00426782
+4_4 0.00418683
+1_5 0.00112338
+2_5 0.00124097
+3_5 0.0012744
+5_5 0.00125575
+1_6 0.000338647
+2_6 0.000367075
+3_6 0.000375228
+6_6 0.000383114
+\n DG with combination now ncombi=10 und dt=0.1
+1_2 0.0265993
+2_2 0.0343013
+1_3 0.00748201
+2_3 0.0114942
+3_3 0.0134302
+1_4 0.00274756
+2_4 0.00379536
+3_4 0.00415372
+4_4 0.00418683
+1_5 0.00117687
+2_5 0.00124204
+3_5 0.00125369
+5_5 0.00125575
+1_6 0.000385102
+2_6 0.000387269
+3_6 0.000382135
+6_6 0.000383114
+\n CG with combination now ncombi=100 und dt=0.01 Parallel
+1_2 0.0284694
+2_2 0.0281218
+1_3 0.00643819
+2_3 0.00687611
+3_3 0.00699008
+1_4 0.0021234
+2_4 0.00226421
+3_4 0.00231903
+4_4 0.00232807
+1_5 0.000772981
+2_5 0.000809242
+3_5 0.000821982
+5_5 0.000825103
+1_6 0.000282292
+2_6 0.000289945
+3_6 0.000292317
+6_6 0.000293005
+1_7 0.000101894
+2_7 0.000103315
+3_7 0.000103731
+1_8 3.64284e-05
+2_8 3.66752e-05
+3_8 3.67477e-05
+1_9 1.29502e-05
+2_9 1.2993e-05
+3_9 1.30057e-05
+1_2 0.0284694
+2_2 0.0281218
+1_3 0.00643819
+2_3 0.00687611
+3_3 0.00699008
+1_4 0.0021234
+2_4 0.00226421
+3_4 0.00231903
+4_4 0.00232807
+1_5 0.000772981
+2_5 0.000809242
+3_5 0.000821982
+5_5 0.000825103
+1_6 0.000282292
+2_6 0.000289945
+3_6 0.000292317
+6_6 0.000293005
+1_7 0.000101894
+2_7 0.000103315
+3_7 0.000103731
+1_8 3.64284e-05
+2_8 3.66752e-05
+3_8 3.67477e-05
+1_9 1.29502e-05
+\n CG without combination now ncombi=10 und dt=0.1
+1_2 0.0293386
+2_2 0.02669
+1_3 0.00588322
+2_3 0.00606266
+3_3 0.00643861
+1_4 0.00210106
+2_4 0.00220108
+3_4 0.0022828
+4_4 0.00229119
+1_5 0.000787399
+2_5 0.000810588
+3_5 0.000821873
+5_5 0.000823311
+1_6 0.000287569
+2_6 0.000291575
+3_6 0.000292917
+6_6 0.000293098
+1_7 0.000103166
+2_7 0.000103749
+3_7 0.000103896
+1_8 3.66919e-05
+2_8 3.6767e-05
+3_8 3.67824e-05
+\n CG with combination now ncombi=10 und dt=0.1
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+\n CG with combination now ncombi=100 und dt=0.01 Parallel
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+1_9 1.29502e-05
+2_9 1.2993e-05
+3_9 1.30057e-05
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+1_9 1.29502e-05
+2_9 1.2993e-05
+3_9 1.30057e-05
+1_2 0.0274921
+2_2 0.02669
+1_3 0.00583837
+2_3 0.00626623
+3_3 0.00643861
+1_4 0.00212887
+2_4 0.00224398
+3_4 0.00228716
+4_4 0.00229119
+1_5 0.00079441
+2_5 0.000816028
+3_5 0.000822434
+5_5 0.000823311
+1_6 0.000288777
+2_6 0.000292195
+3_6 0.000292975
+6_6 0.000293098
+1_7 0.000103352
+2_7 0.000103818
+3_7 0.000103902
+1_8 3.67216e-05
+2_8 3.67742e-05
+3_8 3.6783e-05
+1_9 1.30057e-05
+2_9 1.30115e-05
+3_9 1.30124e-05
+1_2 0.0284694
+2_2 0.0281218
+1_3 0.00643819
+2_3 0.00687611
+3_3 0.00699008
+1_4 0.0021234
+2_4 0.00226421
+3_4 0.00231903
+4_4 0.00232807
+1_5 0.000772981
+2_5 0.000809242
+3_5 0.000821982
+5_5 0.000825103
+1_6 0.000282292
+2_6 0.000289945
+3_6 0.000292317
+6_6 0.000293005
+1_7 0.000101894
+2_7 0.000103315
+3_7 0.000103731
+1_8 3.64284e-05
+2_8 3.66752e-05
+3_8 3.67477e-05
+1_9 1.29502e-05
+2_9 1.2993e-05
+3_9 1.30057e-05
diff --git a/distributedcombigrid/examples/dealii_example/parameter_handler.cc b/distributedcombigrid/examples/dealii_example/parameter_handler.cc
new file mode 100644
index 000000000..1f0b90c61
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/parameter_handler.cc
@@ -0,0 +1,2336 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 1998 - 2018 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+#include <deal.II/base/parameter_handler.h>
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/memory_consumption.h>
+#include <deal.II/base/path_search.h>
+#include <deal.II/base/utilities.h>
+
+#include <boost/io/ios_state.hpp>
+#include <boost/property_tree/json_parser.hpp>
+#include <boost/property_tree/ptree.hpp>
+#include <boost/property_tree/xml_parser.hpp>
+
+#include <algorithm>
+#include <cctype>
+#include <cstdlib>
+#include <cstring>
+#include <fstream>
+#include <iomanip>
+#include <iostream>
+#include <limits>
+#include <sstream>
+
+
+DEAL_II_NAMESPACE_OPEN
+
+
+ParameterHandler::ParameterHandler() : entries(new boost::property_tree::ptree())
+{
+}
+
+
+namespace
+{
+std::string
+mangle(const std::string & s)
+{
+  std::string u;
+
+  // reserve the minimum number of characters we will need. it may
+  // be more but this is the least we can do
+  u.reserve(s.size());
+
+  // see if the name is special and if so mangle the whole thing
+  const bool mangle_whole_string = (s == "value");
+
+  // for all parts of the string, see if it is an allowed character or not
+  for(const char c : s)
+  {
+    static const std::string allowed_characters(
+      "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789");
+
+    if((!mangle_whole_string) && (allowed_characters.find(c) != std::string::npos))
+      u.push_back(c);
+    else
+    {
+      u.push_back('_');
+      static const char hex[16] = {
+        '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f'};
+      u.push_back(hex[static_cast<unsigned char>(c) / 16]);
+      u.push_back(hex[static_cast<unsigned char>(c) % 16]);
+    }
+  }
+
+  return u;
+}
+
+
+
+std::string
+demangle(const std::string & s)
+{
+  std::string u;
+  u.reserve(s.size());
+
+  for(unsigned int i = 0; i < s.size(); ++i)
+    if(s[i] != '_')
+      u.push_back(s[i]);
+    else
+    {
+      Assert(i + 2 < s.size(), ExcMessage("Trying to demangle an invalid string."));
+
+      unsigned char c = 0;
+      switch(s[i + 1])
+      {
+        case '0':
+          c = 0 * 16;
+          break;
+        case '1':
+          c = 1 * 16;
+          break;
+        case '2':
+          c = 2 * 16;
+          break;
+        case '3':
+          c = 3 * 16;
+          break;
+        case '4':
+          c = 4 * 16;
+          break;
+        case '5':
+          c = 5 * 16;
+          break;
+        case '6':
+          c = 6 * 16;
+          break;
+        case '7':
+          c = 7 * 16;
+          break;
+        case '8':
+          c = 8 * 16;
+          break;
+        case '9':
+          c = 9 * 16;
+          break;
+        case 'a':
+          c = 10 * 16;
+          break;
+        case 'b':
+          c = 11 * 16;
+          break;
+        case 'c':
+          c = 12 * 16;
+          break;
+        case 'd':
+          c = 13 * 16;
+          break;
+        case 'e':
+          c = 14 * 16;
+          break;
+        case 'f':
+          c = 15 * 16;
+          break;
+        default:
+          Assert(false, ExcInternalError());
+      }
+      switch(s[i + 2])
+      {
+        case '0':
+          c += 0;
+          break;
+        case '1':
+          c += 1;
+          break;
+        case '2':
+          c += 2;
+          break;
+        case '3':
+          c += 3;
+          break;
+        case '4':
+          c += 4;
+          break;
+        case '5':
+          c += 5;
+          break;
+        case '6':
+          c += 6;
+          break;
+        case '7':
+          c += 7;
+          break;
+        case '8':
+          c += 8;
+          break;
+        case '9':
+          c += 9;
+          break;
+        case 'a':
+          c += 10;
+          break;
+        case 'b':
+          c += 11;
+          break;
+        case 'c':
+          c += 12;
+          break;
+        case 'd':
+          c += 13;
+          break;
+        case 'e':
+          c += 14;
+          break;
+        case 'f':
+          c += 15;
+          break;
+        default:
+          Assert(false, ExcInternalError());
+      }
+
+      u.push_back(static_cast<char>(c));
+
+      // skip the two characters
+      i += 2;
+    }
+
+  return u;
+}
+
+/**
+ * Return whether a given node is a parameter node (as opposed
+ * to being a subsection or alias node)
+ */
+bool
+is_parameter_node(const boost::property_tree::ptree & p)
+{
+  return static_cast<bool>(p.get_optional<std::string>("value"));
+}
+
+
+/**
+ * Return whether a given node is a alias node (as opposed
+ * to being a subsection or parameter node)
+ */
+bool
+is_alias_node(const boost::property_tree::ptree & p)
+{
+  return static_cast<bool>(p.get_optional<std::string>("alias"));
+}
+} // namespace
+
+
+
+std::string
+ParameterHandler::collate_path_string(const std::vector<std::string> & subsection_path)
+{
+  if(subsection_path.size() > 0)
+  {
+    std::string p = mangle(subsection_path[0]);
+    for(unsigned int i = 1; i < subsection_path.size(); ++i)
+    {
+      p += path_separator;
+      p += mangle(subsection_path[i]);
+    }
+    return p;
+  }
+  else
+    return "";
+}
+
+
+std::string
+ParameterHandler::get_current_path() const
+{
+  return collate_path_string(subsection_path);
+}
+
+
+
+std::string
+ParameterHandler::get_current_full_path(const std::string & name) const
+{
+  std::string path = get_current_path();
+  if(path.empty() == false)
+    path += path_separator;
+
+  path += mangle(name);
+
+  return path;
+}
+
+
+
+std::string
+ParameterHandler::get_current_full_path(const std::vector<std::string> & sub_path,
+                                        const std::string &              name) const
+{
+  std::string path = get_current_path();
+  if(path.empty() == false)
+    path += path_separator;
+
+  if(sub_path.empty() == false)
+    path += collate_path_string(sub_path) + path_separator;
+
+  path += mangle(name);
+
+  return path;
+}
+
+
+
+void
+ParameterHandler::parse_input(std::istream &      input,
+                              const std::string & filename,
+                              const std::string & last_line,
+                              const bool          skip_undefined)
+{
+  AssertThrow(input, ExcIO());
+
+  // store subsections we are currently in
+  const std::vector<std::string> saved_path = subsection_path;
+
+  std::string input_line;
+  std::string fully_concatenated_line;
+  bool        is_concatenated = false;
+  // Maintain both the current line number and the current logical line
+  // number, where the latter refers to the line number where (possibly) the
+  // current line continuation started.
+  unsigned int current_line_n         = 0;
+  unsigned int current_logical_line_n = 0;
+
+  // define an action that tries to scan a line.
+  //
+  // if that fails, i.e., if scan_line throws
+  // an exception either because a parameter doesn't match its
+  // pattern or because an associated action throws an exception,
+  // then try to rewind the set of subsections to the same
+  // point where we were when the current function was called.
+  // this at least allows to read parameters from a predictable
+  // state, rather than leave the subsection stack in some
+  // unknown state.
+  //
+  // after unwinding the subsection stack, just re-throw the exception
+  auto scan_line_or_cleanup = [this, &skip_undefined, &saved_path](const std::string & line,
+                                                                   const std::string & filename,
+                                                                   const unsigned int line_number) {
+    try
+    {
+      scan_line(line, filename, line_number, skip_undefined);
+    }
+    catch(...)
+    {
+      while((saved_path != subsection_path) && (subsection_path.size() > 0))
+        leave_subsection();
+
+      throw;
+    }
+  };
+
+
+  while(std::getline(input, input_line))
+  {
+    ++current_line_n;
+    if(!is_concatenated)
+      current_logical_line_n = current_line_n;
+    // Trim the whitespace at the ends of the line here instead of in
+    // scan_line. This makes the continuation line logic a lot simpler.
+    input_line = Utilities::trim(input_line);
+
+    // If we see the line which is the same as @p last_line ,
+    // terminate the parsing.
+    if(last_line.length() != 0 && input_line == last_line)
+      break;
+
+    // Check whether or not the current line should be joined with the next
+    // line before calling scan_line.
+    if(input_line.length() != 0 && input_line.find_last_of('\\') == input_line.length() - 1)
+    {
+      input_line.erase(input_line.length() - 1); // remove the last '\'
+      is_concatenated = true;
+
+      fully_concatenated_line += input_line;
+    }
+    // If the previous line ended in a '\' but the current did not, then we
+    // should proceed to scan_line.
+    else if(is_concatenated)
+    {
+      fully_concatenated_line += input_line;
+      is_concatenated = false;
+    }
+    // Finally, if neither the previous nor current lines are continuations,
+    // then the current input line is entirely concatenated.
+    else
+    {
+      fully_concatenated_line = input_line;
+    }
+
+    if(!is_concatenated)
+    {
+      scan_line_or_cleanup(fully_concatenated_line, filename, current_logical_line_n);
+
+      fully_concatenated_line.clear();
+    }
+  }
+
+  // While it does not make much sense for anyone to actually do this, allow
+  // the last line to end in a backslash. to do do, we need to parse
+  // whatever was left in the stash of concatenated lines
+  if(is_concatenated)
+    scan_line_or_cleanup(fully_concatenated_line, filename, current_line_n);
+
+  if(saved_path != subsection_path)
+  {
+    std::stringstream paths_message;
+    if(saved_path.size() > 0)
+    {
+      paths_message << "Path before loading input:\n";
+      for(unsigned int i = 0; i < subsection_path.size(); ++i)
+      {
+        paths_message << std::setw(i * 2 + 4) << " "
+                      << "subsection " << saved_path[i] << '\n';
+      }
+      paths_message << "Current path:\n";
+      for(unsigned int i = 0; i < subsection_path.size(); ++i)
+      {
+        paths_message << std::setw(i * 2 + 4) << " "
+                      << "subsection " << subsection_path[i]
+                      << (i == subsection_path.size() - 1 ? "" : "\n");
+      }
+    }
+    // restore subsection we started with before throwing the exception:
+    subsection_path = saved_path;
+    AssertThrow(false, ExcUnbalancedSubsections(filename, paths_message.str()));
+  }
+}
+
+
+
+void
+ParameterHandler::parse_input(const std::string & filename,
+                              const std::string & last_line,
+                              const bool          skip_undefined)
+{
+  PathSearch search("PARAMETERS");
+
+  std::string   openname = search.find(filename);
+  std::ifstream file_stream(openname.c_str());
+  parse_input(file_stream, filename, last_line, skip_undefined);
+}
+
+
+
+void
+ParameterHandler::parse_input_from_string(const std::string & s,
+                                          const std::string & last_line,
+                                          const bool          skip_undefined)
+{
+  std::istringstream input_stream(s);
+  parse_input(input_stream, "input string", last_line, skip_undefined);
+}
+
+
+
+namespace
+{
+// Recursively go through the 'source' tree and see if we can find
+// corresponding entries in the 'destination' tree. If not, error out
+// (i.e. we have just read an XML file that has entries that weren't
+// declared in the ParameterHandler object); if so, copy the value of these
+// nodes into the destination object
+void
+read_xml_recursively(const boost::property_tree::ptree & source,
+                     const std::string &                 current_path,
+                     const char                          path_separator,
+                     const std::vector<std::unique_ptr<const Patterns::PatternBase>> & patterns,
+                     boost::property_tree::ptree &                                     destination)
+{
+  for(boost::property_tree::ptree::const_iterator p = source.begin(); p != source.end(); ++p)
+  {
+    if(p->second.empty())
+    {
+      const std::string full_path =
+        (current_path == "" ? p->first : current_path + path_separator + p->first);
+
+      const std::string new_value = p->second.data();
+      if(!(destination.get_optional<std::string>(full_path) &&
+           destination.get_optional<std::string>(full_path + path_separator + "value")))
+        continue;
+
+      // first make sure that the new entry actually satisfies its
+      // constraints
+      const unsigned int pattern_index =
+        destination.get<unsigned int>(full_path + path_separator + "pattern");
+      AssertThrow(patterns[pattern_index]->match(new_value),
+                  ParameterHandler::ExcInvalidEntryForPatternXML
+                  // XML entries sometimes have extra surrounding
+                  // newlines
+                  (Utilities::trim(new_value), p->first, patterns[pattern_index]->description()));
+
+      // set the found parameter in the destination argument
+      destination.put(full_path + path_separator + "value", new_value);
+    }
+    else
+    {
+      // it must be a subsection
+      read_xml_recursively(p->second,
+                           (current_path == "" ? p->first :
+                                                 current_path + path_separator + p->first),
+                           path_separator,
+                           patterns,
+                           destination);
+    }
+  }
+}
+} // namespace
+
+
+
+void
+ParameterHandler::parse_input_from_xml(std::istream & in)
+{
+  AssertThrow(in, ExcIO());
+  // read the XML tree assuming that (as we
+  // do in print_parameters(XML) it has only
+  // a single top-level node called
+  // "ParameterHandler"
+  boost::property_tree::ptree single_node_tree;
+  // This boost function will raise an exception if this is not a valid XML
+  // file.
+  read_xml(in, single_node_tree);
+
+  // make sure there is a single top-level element
+  // called "ParameterHandler"
+  AssertThrow(single_node_tree.get_optional<std::string>("ParameterHandler"),
+              ExcInvalidXMLParameterFile("There is no top-level XML element "
+                                         "called \"ParameterHandler\"."));
+
+  const std::size_t n_top_level_elements =
+    std::distance(single_node_tree.begin(), single_node_tree.end());
+  if(n_top_level_elements != 1)
+  {
+    std::ostringstream top_level_message;
+    top_level_message << "The ParameterHandler input parser found " << n_top_level_elements
+                      << " top level elements while reading\n "
+                      << "    an XML format input file, but there should be"
+                      << " exactly one top level element.\n"
+                      << "    The top level elements are:\n";
+
+    unsigned int entry_n = 0;
+    for(boost::property_tree::ptree::iterator it = single_node_tree.begin();
+        it != single_node_tree.end();
+        ++it, ++entry_n)
+    {
+      top_level_message << "        " << it->first
+                        << (entry_n != n_top_level_elements - 1 ? "\n" : "");
+    }
+
+    // repeat assertion condition to make the printed version easier to read
+    AssertThrow(n_top_level_elements == 1, ExcInvalidXMLParameterFile(top_level_message.str()));
+  }
+
+  // read the child elements recursively
+  const boost::property_tree::ptree & my_entries = single_node_tree.get_child("ParameterHandler");
+
+  read_xml_recursively(my_entries, "", path_separator, patterns, *entries);
+}
+
+
+void
+ParameterHandler::parse_input_from_json(std::istream & in)
+{
+  AssertThrow(in, ExcIO());
+
+  boost::property_tree::ptree node_tree;
+  // This boost function will raise an exception if this is not a valid JSON
+  // file.
+  read_json(in, node_tree);
+
+  // The xml function is reused to read in the xml into the parameter file.
+  // This means that only mangled files can be read.
+  read_xml_recursively(node_tree, "", path_separator, patterns, *entries);
+}
+
+
+
+void
+ParameterHandler::clear()
+{
+  entries = std_cxx14::make_unique<boost::property_tree::ptree>();
+}
+
+
+
+void
+ParameterHandler::declare_entry(const std::string &           entry,
+                                const std::string &           default_value,
+                                const Patterns::PatternBase & pattern,
+                                const std::string &           documentation)
+{
+  entries->put(get_current_full_path(entry) + path_separator + "value", default_value);
+  entries->put(get_current_full_path(entry) + path_separator + "default_value", default_value);
+  entries->put(get_current_full_path(entry) + path_separator + "documentation", documentation);
+
+  patterns.reserve(patterns.size() + 1);
+  patterns.emplace_back(pattern.clone());
+  entries->put(get_current_full_path(entry) + path_separator + "pattern",
+               static_cast<unsigned int>(patterns.size() - 1));
+  // also store the description of
+  // the pattern. we do so because we
+  // may wish to export the whole
+  // thing as XML or any other format
+  // so that external tools can work
+  // on the parameter file; in that
+  // case, they will have to be able
+  // to re-create the patterns as far
+  // as possible
+  entries->put(get_current_full_path(entry) + path_separator + "pattern_description",
+               patterns.back()->description());
+
+  // as documented, do the default value checking at the very end
+  AssertThrow(pattern.match(default_value),
+              ExcValueDoesNotMatchPattern(default_value, pattern.description()));
+}
+
+
+
+void
+ParameterHandler::add_action(const std::string &                              entry,
+                             const std::function<void(const std::string &)> & action)
+{
+  actions.push_back(action);
+
+  // get the current list of actions, if any
+  boost::optional<std::string> current_actions =
+    entries->get_optional<std::string>(get_current_full_path(entry) + path_separator + "actions");
+
+  // if there were actions already associated with this parameter, add
+  // the current one to it; otherwise, create a one-item list and use
+  // that
+  if(current_actions)
+  {
+    const std::string all_actions =
+      current_actions.get() + "," + Utilities::int_to_string(actions.size() - 1);
+    entries->put(get_current_full_path(entry) + path_separator + "actions", all_actions);
+  }
+  else
+    entries->put(get_current_full_path(entry) + path_separator + "actions",
+                 Utilities::int_to_string(actions.size() - 1));
+
+
+  // as documented, run the action on the default value at the very end
+  const std::string default_value =
+    entries->get<std::string>(get_current_full_path(entry) + path_separator + "default_value");
+  action(default_value);
+}
+
+
+
+void
+ParameterHandler::declare_alias(const std::string & existing_entry_name,
+                                const std::string & alias_name,
+                                const bool          alias_is_deprecated)
+{
+  // see if there is anything to refer to already
+  Assert(entries->get_optional<std::string>(get_current_full_path(existing_entry_name)),
+         ExcMessage("You are trying to declare an alias entry <" + alias_name +
+                    "> that references an entry <" + existing_entry_name +
+                    ">, but the latter does not exist."));
+  // then also make sure that what is being referred to is in
+  // fact a parameter (not an alias or subsection)
+  Assert(entries->get_optional<std::string>(get_current_full_path(existing_entry_name) +
+                                            path_separator + "value"),
+         ExcMessage("You are trying to declare an alias entry <" + alias_name +
+                    "> that references an entry <" + existing_entry_name +
+                    ">, but the latter does not seem to be a "
+                    "parameter declaration."));
+
+
+  // now also make sure that if the alias has already been
+  // declared, that it is also an alias and refers to the same
+  // entry
+  if(entries->get_optional<std::string>(get_current_full_path(alias_name)))
+  {
+    Assert(entries->get_optional<std::string>(get_current_full_path(alias_name) + path_separator +
+                                              "alias"),
+           ExcMessage("You are trying to declare an alias entry <" + alias_name +
+                      "> but a non-alias entry already exists in this "
+                      "subsection (i.e., there is either a preexisting "
+                      "further subsection, or a parameter entry, with "
+                      "the same name as the alias)."));
+    Assert(entries->get<std::string>(get_current_full_path(alias_name) + path_separator +
+                                     "alias") == existing_entry_name,
+           ExcMessage("You are trying to declare an alias entry <" + alias_name +
+                      "> but an alias entry already exists in this "
+                      "subsection and this existing alias references a "
+                      "different parameter entry. Specifically, "
+                      "you are trying to reference the entry <" +
+                      existing_entry_name +
+                      "> whereas the existing alias references "
+                      "the entry <" +
+                      entries->get<std::string>(get_current_full_path(alias_name) + path_separator +
+                                                "alias") +
+                      ">."));
+  }
+
+  entries->put(get_current_full_path(alias_name) + path_separator + "alias", existing_entry_name);
+  entries->put(get_current_full_path(alias_name) + path_separator + "deprecation_status",
+               (alias_is_deprecated ? "true" : "false"));
+}
+
+
+
+void
+ParameterHandler::enter_subsection(const std::string & subsection)
+{
+  // if necessary create subsection
+  if(!entries->get_child_optional(get_current_full_path(subsection)))
+    entries->add_child(get_current_full_path(subsection), boost::property_tree::ptree());
+
+  // then enter it
+  subsection_path.push_back(subsection);
+}
+
+
+
+void
+ParameterHandler::leave_subsection()
+{
+  // assert there is a subsection that
+  // we may leave
+  Assert(subsection_path.size() != 0, ExcAlreadyAtTopLevel());
+
+  if(subsection_path.size() > 0)
+    subsection_path.pop_back();
+}
+
+
+
+std::string
+ParameterHandler::get(const std::string & entry_string) const
+{
+  // assert that the entry is indeed
+  // declared
+  if(boost::optional<std::string> value = entries->get_optional<std::string>(
+       get_current_full_path(entry_string) + path_separator + "value"))
+    return value.get();
+  else
+  {
+    Assert(false, ExcEntryUndeclared(entry_string));
+    return "";
+  }
+}
+
+
+
+std::string
+ParameterHandler::get(const std::vector<std::string> & entry_subsection_path,
+                      const std::string &              entry_string) const
+{
+  // assert that the entry is indeed
+  // declared
+  if(boost::optional<std::string> value = entries->get_optional<std::string>(
+       get_current_full_path(entry_subsection_path, entry_string) + path_separator + "value"))
+    return value.get();
+  else
+  {
+    Assert(false,
+           ExcEntryUndeclared(
+             demangle(get_current_full_path(entry_subsection_path, entry_string))));
+    return "";
+  }
+}
+
+
+
+long int
+ParameterHandler::get_integer(const std::string & entry_string) const
+{
+  try
+  {
+    return Utilities::string_to_int(get(entry_string));
+  }
+  catch(...)
+  {
+    AssertThrow(false,
+                ExcMessage("Can't convert the parameter value <" + get(entry_string) +
+                           "> for entry <" + entry_string + "> to an integer."));
+    return 0;
+  }
+}
+
+
+
+long int
+ParameterHandler::get_integer(const std::vector<std::string> & entry_subsection_path,
+                              const std::string &              entry_string) const
+{
+  try
+  {
+    return Utilities::string_to_int(get(entry_subsection_path, entry_string));
+  }
+  catch(...)
+  {
+    AssertThrow(false,
+                ExcMessage("Can't convert the parameter value <" +
+                           get(entry_subsection_path, entry_string) + "> for entry <" +
+                           demangle(get_current_full_path(entry_subsection_path, entry_string)) +
+                           "> to an integer."));
+    return 0;
+  }
+}
+
+
+
+double
+ParameterHandler::get_double(const std::string & entry_string) const
+{
+  try
+  {
+    return Utilities::string_to_double(get(entry_string));
+  }
+  catch(...)
+  {
+    AssertThrow(false,
+                ExcMessage("Can't convert the parameter value <" + get(entry_string) +
+                           "> for entry <" + entry_string + "> to a double precision variable."));
+    return 0;
+  }
+}
+
+
+
+double
+ParameterHandler::get_double(const std::vector<std::string> & entry_subsection_path,
+                             const std::string &              entry_string) const
+{
+  try
+  {
+    return Utilities::string_to_double(get(entry_subsection_path, entry_string));
+  }
+  catch(...)
+  {
+    AssertThrow(false,
+                ExcMessage("Can't convert the parameter value <" +
+                           get(entry_subsection_path, entry_string) + "> for entry <" +
+                           demangle(get_current_full_path(entry_subsection_path, entry_string)) +
+                           "> to a double precision variable."));
+    return 0;
+  }
+}
+
+
+
+bool
+ParameterHandler::get_bool(const std::string & entry_string) const
+{
+  const std::string s = get(entry_string);
+
+  AssertThrow((s == "true") || (s == "false") || (s == "yes") || (s == "no"),
+              ExcMessage("Can't convert the parameter value <" + get(entry_string) +
+                         "> for entry <" + entry_string + "> to a boolean."));
+  if(s == "true" || s == "yes")
+    return true;
+  else
+    return false;
+}
+
+
+
+bool
+ParameterHandler::get_bool(const std::vector<std::string> & entry_subsection_path,
+                           const std::string &              entry_string) const
+{
+  const std::string s = get(entry_subsection_path, entry_string);
+
+  AssertThrow((s == "true") || (s == "false") || (s == "yes") || (s == "no"),
+              ExcMessage("Can't convert the parameter value <" +
+                         get(entry_subsection_path, entry_string) + "> for entry <" +
+                         demangle(get_current_full_path(entry_subsection_path, entry_string)) +
+                         "> to a boolean."));
+  if(s == "true" || s == "yes")
+    return true;
+  else
+    return false;
+}
+
+
+
+void
+ParameterHandler::set(const std::string & entry_string, const std::string & new_value)
+{
+  // resolve aliases before looking up the correct entry
+  std::string path = get_current_full_path(entry_string);
+  if(entries->get_optional<std::string>(path + path_separator + "alias"))
+    path = get_current_full_path(entries->get<std::string>(path + path_separator + "alias"));
+
+  // get the node for the entry. if it doesn't exist, then we end up
+  // in the else-branch below, which asserts that the entry is indeed
+  // declared
+  if(entries->get_optional<std::string>(path + path_separator + "value"))
+  {
+    // verify that the new value satisfies the provided pattern
+    const unsigned int pattern_index =
+      entries->get<unsigned int>(path + path_separator + "pattern");
+    AssertThrow(patterns[pattern_index]->match(new_value),
+                ExcValueDoesNotMatchPattern(new_value,
+                                            entries->get<std::string>(path + path_separator +
+                                                                      "pattern_description")));
+
+    // then also execute the actions associated with this
+    // parameter (if any have been provided)
+    const boost::optional<std::string> action_indices_as_string =
+      entries->get_optional<std::string>(path + path_separator + "actions");
+    if(action_indices_as_string)
+    {
+      std::vector<int> action_indices =
+        Utilities::string_to_int(Utilities::split_string_list(action_indices_as_string.get()));
+      for(const unsigned int index : action_indices)
+        if(actions.size() >= index + 1)
+          actions[index](new_value);
+    }
+
+    // finally write the new value into the database
+    entries->put(path + path_separator + "value", new_value);
+  }
+  else
+    AssertThrow(false, ExcEntryUndeclared(entry_string));
+}
+
+
+void
+ParameterHandler::set(const std::string & entry_string, const char * new_value)
+{
+  // simply forward
+  set(entry_string, std::string(new_value));
+}
+
+
+void
+ParameterHandler::set(const std::string & entry_string, const double new_value)
+{
+  std::ostringstream s;
+  s << std::setprecision(16);
+  s << new_value;
+
+  // hand this off to the function that
+  // actually sets the value as a string
+  set(entry_string, s.str());
+}
+
+
+
+void
+ParameterHandler::set(const std::string & entry_string, const long int new_value)
+{
+  std::ostringstream s;
+  s << new_value;
+
+  // hand this off to the function that
+  // actually sets the value as a string
+  set(entry_string, s.str());
+}
+
+
+
+void
+ParameterHandler::set(const std::string & entry_string, const bool new_value)
+{
+  // hand this off to the function that
+  // actually sets the value as a string
+  set(entry_string, (new_value ? "true" : "false"));
+}
+
+
+
+std::ostream &
+ParameterHandler::print_parameters(std::ostream & out, const OutputStyle style) const
+{
+  AssertThrow(out, ExcIO());
+
+  // we'll have to print some text that is padded with spaces;
+  // set the appropriate fill character, but also make sure that
+  // we will restore the previous setting (and all other stream
+  // flags) when we exit this function
+  boost::io::ios_flags_saver            restore_flags(out);
+  boost::io::basic_ios_fill_saver<char> restore_fill_state(out);
+  out.fill(' ');
+
+  // we treat XML and JSON is one step via BOOST, whereas all of the others are
+  // done recursively in our own code. take care of the two special formats
+  // first
+  if(style == XML)
+  {
+    // call the writer function and exit as there is nothing
+    // further to do down in this function
+    //
+    // XML has a requirement that there can only be one
+    // single top-level entry, but we may have multiple
+    // entries and sections.  we work around this by
+    // creating a tree just for this purpose with the
+    // single top-level node "ParameterHandler" and
+    // assign the existing tree under it
+    boost::property_tree::ptree single_node_tree;
+    single_node_tree.add_child("ParameterHandler", *entries);
+
+    write_xml(out, single_node_tree);
+    return out;
+  }
+
+  if(style == JSON)
+  {
+    write_json(out, *entries);
+    return out;
+  }
+
+  // for all of the other formats, print a preamble:
+  switch(style)
+  {
+    case Text:
+      out << "# Listing of Parameters" << std::endl << "# ---------------------" << std::endl;
+      break;
+
+    case LaTeX:
+      out << "\\subsection{Global parameters}" << std::endl;
+      out << "\\label{parameters:global}" << std::endl;
+      out << std::endl << std::endl;
+      break;
+
+    case Description:
+      out << "Listing of Parameters:" << std::endl << std::endl;
+      break;
+
+    case ShortText:
+      break;
+
+    default:
+      Assert(false, ExcNotImplemented());
+  }
+
+  // dive recursively into the subsections
+  recursively_print_parameters(std::vector<std::string>(), // start at the top level
+                               style,
+                               0,
+                               out);
+
+  return out;
+}
+
+
+
+void
+ParameterHandler::recursively_print_parameters(
+  const std::vector<std::string> & target_subsection_path,
+  const OutputStyle                style,
+  const unsigned int               indent_level,
+  std::ostream &                   out) const
+{
+  AssertThrow(out, ExcIO());
+
+  // this function should not be necessary for XML or JSON output...
+  Assert((style != XML) && (style != JSON), ExcInternalError());
+
+  const boost::property_tree::ptree & current_section =
+    entries->get_child(collate_path_string(target_subsection_path));
+
+  unsigned int overall_indent_level = indent_level;
+
+  switch(style)
+  {
+    case Text:
+    case ShortText:
+    {
+      // first find out the longest entry name to be able to align the
+      // equal signs to do this loop over all nodes of the current
+      // tree, select the parameter nodes (and discard sub-tree nodes)
+      // and take the maximum of their lengths
+      //
+      // likewise find the longest actual value string to make sure we
+      // can align the default and documentation strings
+      std::size_t longest_name  = 0;
+      std::size_t longest_value = 0;
+      for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+          p != current_section.end();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+        {
+          longest_name  = std::max(longest_name, demangle(p->first).length());
+          longest_value = std::max(longest_value, p->second.get<std::string>("value").length());
+        }
+
+      // print entries one by one. make sure they are sorted by using
+      // the appropriate iterators
+      bool first_entry = true;
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+        {
+          const std::string value = p->second.get<std::string>("value");
+
+          // if there is documentation, then add an empty line
+          // (unless this is the first entry in a subsection), print
+          // the documentation, and then the actual entry; break the
+          // documentation into readable chunks such that the whole
+          // thing is at most 78 characters wide
+          if((style == Text) && !p->second.get<std::string>("documentation").empty())
+          {
+            if(first_entry == false)
+              out << '\n';
+            else
+              first_entry = false;
+
+            const std::vector<std::string> doc_lines =
+              Utilities::break_text_into_lines(p->second.get<std::string>("documentation"),
+                                               78 - overall_indent_level * 2 - 2);
+
+            for(const auto & doc_line : doc_lines)
+              out << std::setw(overall_indent_level * 2) << ""
+                  << "# " << doc_line << '\n';
+          }
+
+
+
+          // print name and value of this entry
+          out << std::setw(overall_indent_level * 2) << ""
+              << "set " << demangle(p->first)
+              << std::setw(longest_name - demangle(p->first).length() + 1) << " "
+              << "= " << value;
+
+          // finally print the default value, but only if it differs
+          // from the actual value
+          if((style == Text) && value != p->second.get<std::string>("default_value"))
+          {
+            out << std::setw(longest_value - value.length() + 1) << ' ' << "# ";
+            out << "default: " << p->second.get<std::string>("default_value");
+          }
+
+          out << '\n';
+        }
+
+      break;
+    }
+
+    case LaTeX:
+    {
+      auto escape = [](const std::string & input) {
+        return Patterns::internal::escape(input, Patterns::PatternBase::LaTeX);
+      };
+
+      // if there are any parameters in this section then print them
+      // as an itemized list
+      bool parameters_exist_here = false;
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if((is_parameter_node(p->second) == true) || (is_alias_node(p->second) == true))
+        {
+          parameters_exist_here = true;
+          break;
+        }
+
+      if(parameters_exist_here)
+      {
+        out << "\\begin{itemize}" << '\n';
+
+        // print entries one by one. make sure they are sorted by
+        // using the appropriate iterators
+        for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+            p != current_section.not_found();
+            ++p)
+          if(is_parameter_node(p->second) == true)
+          {
+            const std::string value = p->second.get<std::string>("value");
+
+            // print name
+            out << "\\item {\\it Parameter name:} {\\tt " << escape(demangle(p->first)) << "}\n"
+                << "\\phantomsection";
+            {
+              // create label: labels are not to be escaped but mangled
+              std::string label = "parameters:";
+              for(const auto & path : target_subsection_path)
+              {
+                label.append(mangle(path));
+                label.append("/");
+              }
+              label.append(p->first);
+              // Backwards-compatibility. Output the label with and
+              // without escaping whitespace:
+              if(label.find("_20") != std::string::npos)
+                out << "\\label{" << Utilities::replace_in_string(label, "_20", " ") << "}\n";
+              out << "\\label{" << label << "}\n";
+            }
+            out << "\n\n";
+
+            out << "\\index[prmindex]{" << escape(demangle(p->first)) << "}\n";
+            out << "\\index[prmindexfull]{";
+            for(const auto & path : target_subsection_path)
+              out << escape(path) << "!";
+            out << escape(demangle(p->first)) << "}\n";
+
+            // finally print value and default
+            out << "{\\it Value:} " << escape(value) << "\n\n"
+                << '\n'
+                << "{\\it Default:} " << escape(p->second.get<std::string>("default_value"))
+                << "\n\n"
+                << '\n';
+
+            // if there is a documenting string, print it as well but
+            // don't escape to allow formatting/formulas
+            if(!p->second.get<std::string>("documentation").empty())
+              out << "{\\it Description:} " << p->second.get<std::string>("documentation") << "\n\n"
+                  << '\n';
+
+            // also output possible values, do not escape because the
+            // description internally will use LaTeX formatting
+            const unsigned int pattern_index = p->second.get<unsigned int>("pattern");
+            const std::string  desc_str =
+              patterns[pattern_index]->description(Patterns::PatternBase::LaTeX);
+            out << "{\\it Possible values:} " << desc_str << '\n';
+          }
+          else if(is_alias_node(p->second) == true)
+          {
+            const std::string alias = p->second.get<std::string>("alias");
+
+            // print name
+            out << "\\item {\\it Parameter name:} {\\tt " << escape(demangle(p->first)) << "}\n"
+                << "\\phantomsection";
+            {
+              // create label: labels are not to be escaped but mangled
+              std::string label = "parameters:";
+              for(const auto & path : target_subsection_path)
+              {
+                label.append(mangle(path));
+                label.append("/");
+              }
+              label.append(p->first);
+              // Backwards-compatibility. Output the label with and
+              // without escaping whitespace:
+              if(label.find("_20") != std::string::npos)
+                out << "\\label{" << Utilities::replace_in_string(label, "_20", " ") << "}\n";
+              out << "\\label{" << label << "}\n";
+            }
+            out << "\n\n";
+
+            out << "\\index[prmindex]{" << escape(demangle(p->first)) << "}\n";
+            out << "\\index[prmindexfull]{";
+            for(const auto & path : target_subsection_path)
+              out << escape(path) << "!";
+            out << escape(demangle(p->first)) << "}\n";
+
+            // finally print alias and indicate if it is deprecated
+            out << "This parameter is an alias for the parameter ``\\texttt{" << escape(alias)
+                << "}''."
+                << (p->second.get<std::string>("deprecation_status") == "true" ?
+                      " Its use is deprecated." :
+                      "")
+                << "\n\n"
+                << '\n';
+          }
+        out << "\\end{itemize}" << '\n';
+      }
+
+      break;
+    }
+
+    case Description:
+    {
+      // first find out the longest entry name to be able to align the
+      // equal signs
+      std::size_t longest_name = 0;
+      for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+          p != current_section.end();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+          longest_name = std::max(longest_name, demangle(p->first).length());
+
+      // print entries one by one. make sure they are sorted by using
+      // the appropriate iterators
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+        {
+          // print name and value
+          out << std::setw(overall_indent_level * 2) << ""
+              << "set " << demangle(p->first)
+              << std::setw(longest_name - demangle(p->first).length() + 1) << " "
+              << " = ";
+
+          // print possible values:
+          const unsigned int pattern_index = p->second.get<unsigned int>("pattern");
+          const std::string  full_desc_str =
+            patterns[pattern_index]->description(Patterns::PatternBase::Text);
+          const std::vector<std::string> description_str =
+            Utilities::break_text_into_lines(full_desc_str, 78 - overall_indent_level * 2 - 2, '|');
+          if(description_str.size() > 1)
+          {
+            out << '\n';
+            for(const auto & description : description_str)
+              out << std::setw(overall_indent_level * 2 + 6) << "" << description << '\n';
+          }
+          else if(description_str.empty() == false)
+            out << "  " << description_str[0] << '\n';
+          else
+            out << '\n';
+
+          // if there is a documenting string, print it as well
+          if(p->second.get<std::string>("documentation").length() != 0)
+            out << std::setw(overall_indent_level * 2 + longest_name + 10) << ""
+                << "(" << p->second.get<std::string>("documentation") << ")" << '\n';
+        }
+
+      break;
+    }
+
+    default:
+      Assert(false, ExcNotImplemented());
+  }
+
+
+  // if there was text before and there are sections to come, put two
+  // newlines between the last entry and the first subsection
+  {
+    unsigned int n_parameters = 0;
+    unsigned int n_sections   = 0;
+    for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+        p != current_section.end();
+        ++p)
+      if(is_parameter_node(p->second) == true)
+        ++n_parameters;
+      else if(is_alias_node(p->second) == false)
+        ++n_sections;
+
+    if((style != Description) && (style != ShortText) && (n_parameters != 0) && (n_sections != 0))
+      out << "\n\n";
+  }
+
+  // now traverse subsections tree, in alphabetical order
+  for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+      p != current_section.not_found();
+      ++p)
+    if((is_parameter_node(p->second) == false) && (is_alias_node(p->second) == false))
+    {
+      // first print the subsection header
+      switch(style)
+      {
+        case Text:
+        case Description:
+        case ShortText:
+          out << std::setw(overall_indent_level * 2) << ""
+              << "subsection " << demangle(p->first) << '\n';
+          break;
+
+        case LaTeX:
+        {
+          auto escape = [](const std::string & input) {
+            return Patterns::internal::escape(input, Patterns::PatternBase::LaTeX);
+          };
+
+          out << '\n' << "\\subsection{Parameters in section \\tt ";
+
+          // find the path to the current section so that we can
+          // print it in the \subsection{...} heading
+          for(const auto & path : target_subsection_path)
+            out << escape(path) << "/";
+          out << escape(demangle(p->first));
+
+          out << "}" << '\n';
+          out << "\\label{parameters:";
+          for(const auto & path : target_subsection_path)
+            out << mangle(path) << "/";
+          out << p->first << "}";
+          out << '\n';
+
+          out << '\n';
+          break;
+        }
+
+        default:
+          Assert(false, ExcNotImplemented());
+      }
+
+      // then the contents of the subsection
+      const std::string        subsection     = demangle(p->first);
+      std::vector<std::string> directory_path = target_subsection_path;
+      directory_path.emplace_back(subsection);
+
+      recursively_print_parameters(directory_path, style, overall_indent_level + 1, out);
+
+      switch(style)
+      {
+        case Text:
+          // write end of subsection. one blank line after each
+          // subsection
+          out << std::setw(overall_indent_level * 2) << ""
+              << "end" << '\n'
+              << '\n';
+
+          // if this is a toplevel subsection, then have two
+          // newlines
+          if(overall_indent_level == 0)
+            out << '\n';
+
+          break;
+
+        case Description:
+          break;
+
+        case ShortText:
+          // write end of subsection.
+          out << std::setw(overall_indent_level * 2) << ""
+              << "end" << '\n';
+          break;
+
+        case LaTeX:
+          break;
+
+        default:
+          Assert(false, ExcNotImplemented());
+      }
+    }
+}
+
+
+
+// Print a section in the desired style. The styles are separated into
+// several verbosity classes depending on the higher bits.
+//
+// If bit 7 (128) is set, comments are not printed.
+// If bit 6 (64) is set, default values after change are not printed.
+void
+ParameterHandler::print_parameters_section(std::ostream &     out,
+                                           const OutputStyle  style,
+                                           const unsigned int indent_level,
+                                           const bool         include_top_level_elements)
+{
+  AssertThrow(out, ExcIO());
+
+  const boost::property_tree::ptree & current_section = entries->get_child(get_current_path());
+
+  unsigned int overall_indent_level = indent_level;
+
+  switch(style)
+  {
+    case XML:
+    {
+      if(include_top_level_elements)
+      {
+        // call the writer function and exit as there is nothing
+        // further to do down in this function
+        //
+        // XML has a requirement that there can only be one single
+        // top-level entry, but a section has multiple entries and
+        // sections. we work around this by creating a tree just for
+        // this purpose with the single top-level node
+        // "ParameterHandler" and assign the full path of down to
+        // the current section under it
+        boost::property_tree::ptree single_node_tree;
+
+        // if there is no subsection selected, add the whole tree of
+        // entries, otherwise add a root element and the selected
+        // subsection under it
+        if(subsection_path.size() == 0)
+        {
+          single_node_tree.add_child("ParameterHandler", *entries);
+        }
+        else
+        {
+          std::string path("ParameterHandler");
+
+          single_node_tree.add_child(path, boost::property_tree::ptree());
+
+          path += path_separator + get_current_path();
+          single_node_tree.add_child(path, current_section);
+        }
+
+        write_xml(out, single_node_tree);
+      }
+      else
+        Assert(false, ExcNotImplemented());
+
+      break;
+    }
+    case Text:
+    case ShortText:
+    {
+      // if there are top level elements to print, do it
+      if(include_top_level_elements && (subsection_path.size() > 0))
+        for(const auto & path : subsection_path)
+        {
+          out << std::setw(overall_indent_level * 2) << ""
+              << "subsection " << demangle(path) << std::endl;
+          overall_indent_level += 1;
+        }
+
+      // first find out the longest entry name to be able to align the
+      // equal signs to do this loop over all nodes of the current
+      // tree, select the parameter nodes (and discard sub-tree nodes)
+      // and take the maximum of their lengths
+      std::size_t longest_name = 0;
+      for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+          p != current_section.end();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+          longest_name = std::max(longest_name, demangle(p->first).length());
+
+      // likewise find the longest actual value string to make sure we
+      // can align the default and documentation strings
+      std::size_t longest_value = 0;
+      for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+          p != current_section.end();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+          longest_value = std::max(longest_value, p->second.get<std::string>("value").length());
+
+
+      // print entries one by one. make sure they are sorted by using
+      // the appropriate iterators
+      bool first_entry = true;
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+        {
+          const std::string value = p->second.get<std::string>("value");
+
+          // if there is documentation, then add an empty line
+          // (unless this is the first entry in a subsection), print
+          // the documentation, and then the actual entry; break the
+          // documentation into readable chunks such that the whole
+          // thing is at most 78 characters wide
+          if((!(style & 128)) && !p->second.get<std::string>("documentation").empty())
+          {
+            if(first_entry == false)
+              out << std::endl;
+            else
+              first_entry = false;
+
+            const std::vector<std::string> doc_lines =
+              Utilities::break_text_into_lines(p->second.get<std::string>("documentation"),
+                                               78 - overall_indent_level * 2 - 2);
+
+            for(const auto & doc_line : doc_lines)
+              out << std::setw(overall_indent_level * 2) << ""
+                  << "# " << doc_line << std::endl;
+          }
+
+
+
+          // print name and value of this entry
+          out << std::setw(overall_indent_level * 2) << ""
+              << "set " << demangle(p->first)
+              << std::setw(longest_name - demangle(p->first).length() + 1) << " "
+              << "= " << value;
+
+          // finally print the default value, but only if it differs
+          // from the actual value
+          if((!(style & 64)) && value != p->second.get<std::string>("default_value"))
+          {
+            out << std::setw(longest_value - value.length() + 1) << ' ' << "# ";
+            out << "default: " << p->second.get<std::string>("default_value");
+          }
+
+          out << std::endl;
+        }
+
+      break;
+    }
+
+    case LaTeX:
+    {
+      auto escape = [](const std::string & input) {
+        return Patterns::internal::escape(input, Patterns::PatternBase::LaTeX);
+      };
+
+      // if there are any parameters in this section then print them
+      // as an itemized list
+      bool parameters_exist_here = false;
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if((is_parameter_node(p->second) == true) || (is_alias_node(p->second) == true))
+        {
+          parameters_exist_here = true;
+          break;
+        }
+
+      if(parameters_exist_here)
+      {
+        out << "\\begin{itemize}" << std::endl;
+
+        // print entries one by one. make sure they are sorted by
+        // using the appropriate iterators
+        for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+            p != current_section.not_found();
+            ++p)
+          if(is_parameter_node(p->second) == true)
+          {
+            const std::string value = p->second.get<std::string>("value");
+
+            // print name
+            out << "\\item {\\it Parameter name:} {\\tt " << escape(demangle(p->first)) << "}\n"
+                << "\\phantomsection\\label{parameters:";
+            for(const auto & path : subsection_path)
+              out << mangle(path) << "/";
+            out << p->first;
+            out << "}\n\n" << std::endl;
+
+            out << "\\index[prmindex]{" << escape(demangle(p->first)) << "}\n";
+            out << "\\index[prmindexfull]{";
+            for(const auto & path : subsection_path)
+              out << escape(path) << "!";
+            out << escape(demangle(p->first)) << "}\n";
+
+            // finally print value and default
+            out << "{\\it Value:} " << escape(value) << "\n\n"
+                << std::endl
+                << "{\\it Default:} " << escape(p->second.get<std::string>("default_value"))
+                << "\n\n"
+                << std::endl;
+
+            // if there is a documenting string, print it as well
+            if(!p->second.get<std::string>("documentation").empty())
+              out << "{\\it Description:} " << p->second.get<std::string>("documentation") << "\n\n"
+                  << std::endl;
+
+            // also output possible values
+            const unsigned int pattern_index = p->second.get<unsigned int>("pattern");
+            const std::string  desc_str =
+              patterns[pattern_index]->description(Patterns::PatternBase::LaTeX);
+            out << "{\\it Possible values:} " << desc_str << std::endl;
+          }
+          else if(is_alias_node(p->second) == true)
+          {
+            const std::string alias = p->second.get<std::string>("alias");
+
+            // print name
+            out << "\\item {\\it Parameter name:} {\\tt " << escape(demangle(p->first)) << "}\n"
+                << "\\phantomsection\\label{parameters:";
+            for(const auto & path : subsection_path)
+              out << mangle(path) << "/";
+            out << p->first;
+            out << "}\n\n" << std::endl;
+
+            out << "\\index[prmindex]{" << escape(demangle(p->first)) << "}\n";
+            out << "\\index[prmindexfull]{";
+            for(const auto & path : subsection_path)
+              out << escape(path) << "!";
+            out << escape(demangle(p->first)) << "}\n";
+
+            // finally print alias and indicate if it is deprecated
+            out << "This parameter is an alias for the parameter ``\\texttt{" << escape(alias)
+                << "}''."
+                << (p->second.get<std::string>("deprecation_status") == "true" ?
+                      " Its use is deprecated." :
+                      "")
+                << "\n\n"
+                << std::endl;
+          }
+        out << "\\end{itemize}" << std::endl;
+      }
+
+      break;
+    }
+
+    case Description:
+    {
+      // if there are top level elements to print, do it
+      if(include_top_level_elements && (subsection_path.size() > 0))
+        for(const auto & path : subsection_path)
+        {
+          out << std::setw(overall_indent_level * 2) << ""
+              << "subsection " << demangle(path) << std::endl;
+          overall_indent_level += 1;
+        };
+
+      // first find out the longest entry name to be able to align the
+      // equal signs
+      std::size_t longest_name = 0;
+      for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+          p != current_section.end();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+          longest_name = std::max(longest_name, demangle(p->first).length());
+
+      // print entries one by one. make sure they are sorted by using
+      // the appropriate iterators
+      for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+          p != current_section.not_found();
+          ++p)
+        if(is_parameter_node(p->second) == true)
+        {
+          // print name and value
+          out << std::setw(overall_indent_level * 2) << ""
+              << "set " << demangle(p->first)
+              << std::setw(longest_name - demangle(p->first).length() + 1) << " "
+              << " = ";
+
+          // print possible values:
+          const unsigned int pattern_index = p->second.get<unsigned int>("pattern");
+          const std::string  full_desc_str =
+            patterns[pattern_index]->description(Patterns::PatternBase::Text);
+          const std::vector<std::string> description_str =
+            Utilities::break_text_into_lines(full_desc_str, 78 - overall_indent_level * 2 - 2, '|');
+          if(description_str.size() > 1)
+          {
+            out << std::endl;
+            for(const auto & description : description_str)
+              out << std::setw(overall_indent_level * 2 + 6) << "" << description << std::endl;
+          }
+          else if(description_str.empty() == false)
+            out << "  " << description_str[0] << std::endl;
+          else
+            out << std::endl;
+
+          // if there is a documenting string, print it as well
+          if(p->second.get<std::string>("documentation").length() != 0)
+            out << std::setw(overall_indent_level * 2 + longest_name + 10) << ""
+                << "(" << p->second.get<std::string>("documentation") << ")" << std::endl;
+        }
+
+      break;
+    }
+
+    default:
+      Assert(false, ExcNotImplemented());
+  }
+
+
+  // if there was text before and there are sections to come, put two
+  // newlines between the last entry and the first subsection
+  if(style != XML)
+  {
+    unsigned int n_parameters = 0;
+    unsigned int n_sections   = 0;
+    for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+        p != current_section.end();
+        ++p)
+      if(is_parameter_node(p->second) == true)
+        ++n_parameters;
+      else if(is_alias_node(p->second) == false)
+        ++n_sections;
+
+    if((style != Description) && (!(style & 128)) && (n_parameters != 0) && (n_sections != 0))
+      out << std::endl << std::endl;
+
+    // now traverse subsections tree, in alphabetical order
+    for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+        p != current_section.not_found();
+        ++p)
+      if((is_parameter_node(p->second) == false) && (is_alias_node(p->second) == false))
+      {
+        // first print the subsection header
+        switch(style)
+        {
+          case Text:
+          case Description:
+          case ShortText:
+            out << std::setw(overall_indent_level * 2) << ""
+                << "subsection " << demangle(p->first) << std::endl;
+            break;
+          case LaTeX:
+          {
+            auto escape = [](const std::string & input) {
+              return Patterns::internal::escape(input, Patterns::PatternBase::LaTeX);
+            };
+
+            out << std::endl << "\\subsection{Parameters in section \\tt ";
+
+            // find the path to the current section so that we can
+            // print it in the \subsection{...} heading
+            for(const auto & path : subsection_path)
+              out << escape(path) << "/";
+            out << escape(demangle(p->first));
+
+            out << "}" << std::endl;
+            out << "\\label{parameters:";
+            for(const auto & path : subsection_path)
+              out << mangle(path) << "/";
+            out << p->first << "}";
+            out << std::endl;
+
+            out << std::endl;
+            break;
+          }
+
+          default:
+            Assert(false, ExcNotImplemented());
+        }
+
+        // then the contents of the subsection
+        enter_subsection(demangle(p->first));
+#  pragma GCC diagnostic push
+#  pragma GCC diagnostic ignored "-Wdeprecated-declarations"
+        print_parameters_section(out, style, overall_indent_level + 1);
+#  pragma GCC diagnostic pop
+        
+        leave_subsection();
+        switch(style)
+        {
+          case Text:
+            // write end of subsection. one blank line after each
+            // subsection
+            out << std::setw(overall_indent_level * 2) << ""
+                << "end" << std::endl
+                << std::endl;
+
+            // if this is a toplevel subsection, then have two
+            // newlines
+            if(overall_indent_level == 0)
+              out << std::endl;
+
+            break;
+          case Description:
+            break;
+          case ShortText:
+            // write end of subsection.
+            out << std::setw(overall_indent_level * 2) << ""
+                << "end" << std::endl;
+            break;
+          case LaTeX:
+            break;
+          default:
+            Assert(false, ExcNotImplemented());
+        }
+      }
+  }
+
+  // close top level elements, if there are any
+  switch(style)
+  {
+    case XML:
+    case LaTeX:
+    case Description:
+      break;
+    case Text:
+    case ShortText:
+    {
+      if(include_top_level_elements && (subsection_path.size() > 0))
+        for(unsigned int i = 0; i < subsection_path.size(); ++i)
+        {
+          overall_indent_level -= 1;
+          out << std::setw(overall_indent_level * 2) << ""
+              << "end" << std::endl;
+        }
+
+      break;
+    }
+
+    default:
+      Assert(false, ExcNotImplemented());
+  }
+}
+
+
+
+void
+ParameterHandler::log_parameters(LogStream & out)
+{
+  out.push("parameters");
+  // dive recursively into the subsections
+  log_parameters_section(out);
+
+  out.pop();
+}
+
+
+
+void
+ParameterHandler::log_parameters_section(LogStream & out)
+{
+  const boost::property_tree::ptree & current_section = entries->get_child(get_current_path());
+
+  // print entries one by
+  // one. make sure they are
+  // sorted by using the
+  // appropriate iterators
+  for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+      p != current_section.not_found();
+      ++p)
+    if(is_parameter_node(p->second) == true)
+      out << demangle(p->first) << ": " << p->second.get<std::string>("value") << std::endl;
+
+  // now transverse subsections tree
+  // now traverse subsections tree,
+  // in alphabetical order
+  for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+      p != current_section.not_found();
+      ++p)
+    if(is_parameter_node(p->second) == false)
+    {
+      out.push(demangle(p->first));
+      enter_subsection(demangle(p->first));
+      log_parameters_section(out);
+      leave_subsection();
+      out.pop();
+    }
+}
+
+
+
+void
+ParameterHandler::scan_line(std::string         line,
+                            const std::string & input_filename,
+                            const unsigned int  current_line_n,
+                            const bool          skip_undefined)
+{
+  // save a copy for some error messages
+  const std::string original_line = line;
+
+  // if there is a comment, delete it
+  if(line.find('#') != std::string::npos)
+    line.erase(line.find('#'), std::string::npos);
+
+  // replace \t by space:
+  while(line.find('\t') != std::string::npos)
+    line.replace(line.find('\t'), 1, " ");
+
+  // trim start and end:
+  line = Utilities::trim(line);
+
+  // if line is now empty: leave
+  if(line.length() == 0)
+  {
+    return;
+  }
+  // enter subsection
+  else if(Utilities::match_at_string_start(line, "SUBSECTION ") ||
+          Utilities::match_at_string_start(line, "subsection "))
+  {
+    // delete this prefix
+    line.erase(0, std::string("subsection").length() + 1);
+
+    const std::string subsection = Utilities::trim(line);
+
+    // check whether subsection exists
+    AssertThrow(skip_undefined || entries->get_child_optional(get_current_full_path(subsection)),
+                ExcNoSubsection(current_line_n,
+                                input_filename,
+                                demangle(get_current_full_path(subsection))));
+
+    // subsection exists
+    subsection_path.push_back(subsection);
+  }
+  // exit subsection
+  else if(Utilities::match_at_string_start(line, "END") ||
+          Utilities::match_at_string_start(line, "end"))
+  {
+    line.erase(0, 3);
+    while((line.size() > 0) && (std::isspace(line[0])))
+      line.erase(0, 1);
+
+    AssertThrow(line.size() == 0,
+                ExcCannotParseLine(current_line_n,
+                                   input_filename,
+                                   "Invalid content after 'end' or 'END' statement."));
+    AssertThrow(subsection_path.size() != 0,
+                ExcCannotParseLine(current_line_n,
+                                   input_filename,
+                                   "There is no subsection to leave here."));
+    leave_subsection();
+  }
+  // regular entry
+  else if(Utilities::match_at_string_start(line, "SET ") ||
+          Utilities::match_at_string_start(line, "set "))
+  {
+    // erase "set" statement
+    line.erase(0, 4);
+
+    std::string::size_type pos = line.find('=');
+    AssertThrow(pos != std::string::npos,
+                ExcCannotParseLine(current_line_n,
+                                   input_filename,
+                                   "Invalid format of 'set' or 'SET' statement."));
+
+    // extract entry name and value and trim
+    std::string entry_name  = Utilities::trim(std::string(line, 0, pos));
+    std::string entry_value = Utilities::trim(std::string(line, pos + 1, std::string::npos));
+
+    // resolve aliases before we look up the entry. if necessary, print
+    // a warning that the alias is deprecated
+    std::string path = get_current_full_path(entry_name);
+    if(entries->get_optional<std::string>(path + path_separator + "alias"))
+    {
+      if(entries->get<std::string>(path + path_separator + "deprecation_status") == "true")
+      {
+        std::cerr << "Warning in line <" << current_line_n << "> of file <" << input_filename
+                  << ">: You are using the deprecated spelling <" << entry_name
+                  << "> of the parameter <"
+                  << entries->get<std::string>(path + path_separator + "alias") << ">."
+                  << std::endl;
+      }
+      path = get_current_full_path(entries->get<std::string>(path + path_separator + "alias"));
+    }
+
+    // get the node for the entry. if it doesn't exist, then we end up
+    // in the else-branch below, which asserts that the entry is indeed
+    // declared
+    if(entries->get_optional<std::string>(path + path_separator + "value"))
+    {
+      // if entry was declared: does it match the regex? if not, don't enter
+      // it into the database exception: if it contains characters which
+      // specify it as a multiple loop entry, then ignore content
+      if(entry_value.find('{') == std::string::npos)
+      {
+        // verify that the new value satisfies the provided pattern
+        const unsigned int pattern_index =
+          entries->get<unsigned int>(path + path_separator + "pattern");
+        AssertThrow(patterns[pattern_index]->match(entry_value),
+                    ExcInvalidEntryForPattern(current_line_n,
+                                              input_filename,
+                                              entry_value,
+                                              entry_name,
+                                              patterns[pattern_index]->description()));
+
+        // then also execute the actions associated with this
+        // parameter (if any have been provided)
+        const boost::optional<std::string> action_indices_as_string =
+          entries->get_optional<std::string>(path + path_separator + "actions");
+        if(action_indices_as_string)
+        {
+          std::vector<int> action_indices =
+            Utilities::string_to_int(Utilities::split_string_list(action_indices_as_string.get()));
+          for(const unsigned int index : action_indices)
+            if(actions.size() >= index + 1)
+              actions[index](entry_value);
+        }
+      }
+
+      // finally write the new value into the database
+      entries->put(path + path_separator + "value", entry_value);
+    }
+    else
+    {
+      AssertThrow(skip_undefined,
+                  ExcCannotParseLine(current_line_n,
+                                     input_filename,
+                                     ("No entry with name <" + entry_name +
+                                      "> was declared in the current subsection.")));
+    }
+  }
+  // an include statement?
+  else if(Utilities::match_at_string_start(line, "include ") ||
+          Utilities::match_at_string_start(line, "INCLUDE "))
+  {
+    // erase "include " statement and eliminate spaces
+    line.erase(0, 7);
+    while((line.size() > 0) && (line[0] == ' '))
+      line.erase(0, 1);
+
+    // the remainder must then be a filename
+    AssertThrow(line.size() != 0,
+                ExcCannotParseLine(current_line_n,
+                                   input_filename,
+                                   "The current line is an 'include' or "
+                                   "'INCLUDE' statement, but it does not "
+                                   "name a file for inclusion."));
+
+    std::ifstream input(line.c_str());
+    AssertThrow(input, ExcCannotOpenIncludeStatementFile(current_line_n, input_filename, line));
+    parse_input(input, line, "", skip_undefined);
+  }
+  else
+  {
+    AssertThrow(false,
+                ExcCannotParseLine(current_line_n,
+                                   input_filename,
+                                   "The line\n\n"
+                                   "        <" +
+                                     original_line +
+                                     ">\n\n"
+                                     "could not be parsed: please check to "
+                                     "make sure that the file is not missing a "
+                                     "'set', 'include', 'subsection', or 'end' "
+                                     "statement."));
+  }
+}
+
+
+
+std::size_t
+ParameterHandler::memory_consumption() const
+{
+  // TODO: add to this an estimate of the memory in the property_tree
+  return (MemoryConsumption::memory_consumption(subsection_path));
+}
+
+
+
+bool
+ParameterHandler::operator==(const ParameterHandler & prm2) const
+{
+  if(patterns.size() != prm2.patterns.size())
+    return false;
+
+  for(unsigned int j = 0; j < patterns.size(); ++j)
+    if(patterns[j]->description() != prm2.patterns[j]->description())
+      return false;
+
+  // instead of walking through all
+  // the nodes of the two trees
+  // entries and prm2.entries and
+  // comparing them for equality,
+  // simply dump the content of the
+  // entire structure into a string
+  // and compare those for equality
+  std::ostringstream o1, o2;
+  write_json(o1, *entries);
+  write_json(o2, *prm2.entries);
+  return (o1.str() == o2.str());
+}
+
+
+
+MultipleParameterLoop::MultipleParameterLoop() : n_branches(0)
+{
+}
+
+
+
+void
+MultipleParameterLoop::parse_input(std::istream &      input,
+                                   const std::string & filename,
+                                   const std::string & last_line,
+                                   const bool          skip_undefined)
+{
+  AssertThrow(input, ExcIO());
+
+  // Note that (to avoid infinite recursion) we have to explicitly call the
+  // base class version of parse_input and *not* a wrapper (which may be
+  // virtual and lead us back here)
+  ParameterHandler::parse_input(input, filename, last_line, skip_undefined);
+  init_branches();
+}
+
+
+
+void
+MultipleParameterLoop::loop(MultipleParameterLoop::UserClass & uc)
+{
+  for(unsigned int run_no = 0; run_no < n_branches; ++run_no)
+  {
+    // give create_new one-based numbers
+    uc.create_new(run_no + 1);
+    fill_entry_values(run_no);
+    uc.run(*this);
+  }
+}
+
+
+
+void
+MultipleParameterLoop::init_branches()
+{
+  multiple_choices.clear();
+  init_branches_current_section();
+
+  // split up different values
+  for(auto & multiple_choice : multiple_choices)
+    multiple_choice.split_different_values();
+
+  // finally calculate number of branches
+  n_branches = 1;
+  for(const auto & multiple_choice : multiple_choices)
+    if(multiple_choice.type == Entry::variant)
+      n_branches *= multiple_choice.different_values.size();
+
+  // check whether array entries have the correct
+  // number of entries
+  for(const auto & multiple_choice : multiple_choices)
+    if(multiple_choice.type == Entry::array)
+      if(multiple_choice.different_values.size() != n_branches)
+        std::cerr << "    The entry value" << std::endl
+                  << "        " << multiple_choice.entry_value << std::endl
+                  << "    for the entry named" << std::endl
+                  << "        " << multiple_choice.entry_name << std::endl
+                  << "    does not have the right number of entries for the " << std::endl
+                  << "        " << n_branches << " variant runs that will be performed."
+                  << std::endl;
+
+
+  // do a first run on filling the values to
+  // check for the conformance with the regexp
+  // (later on, this will be lost in the whole
+  // other output)
+  for(unsigned int i = 0; i < n_branches; ++i)
+    fill_entry_values(i);
+}
+
+
+
+void
+MultipleParameterLoop::init_branches_current_section()
+{
+  const boost::property_tree::ptree & current_section = entries->get_child(get_current_path());
+
+  // check all entries in the present
+  // subsection whether they are
+  // multiple entries
+  //
+  // we loop over entries in sorted
+  // order to guarantee backward
+  // compatibility to an earlier
+  // implementation
+  for(boost::property_tree::ptree::const_assoc_iterator p = current_section.ordered_begin();
+      p != current_section.not_found();
+      ++p)
+    if(is_parameter_node(p->second) == true)
+    {
+      const std::string value = p->second.get<std::string>("value");
+      if(value.find('{') != std::string::npos)
+        multiple_choices.emplace_back(subsection_path, demangle(p->first), value);
+    }
+
+  // then loop over all subsections
+  for(boost::property_tree::ptree::const_iterator p = current_section.begin();
+      p != current_section.end();
+      ++p)
+    if(is_parameter_node(p->second) == false)
+    {
+      enter_subsection(demangle(p->first));
+      init_branches_current_section();
+      leave_subsection();
+    }
+}
+
+
+
+void
+MultipleParameterLoop::fill_entry_values(const unsigned int run_no)
+{
+  unsigned int possibilities = 1;
+
+  std::vector<Entry>::iterator choice;
+  for(choice = multiple_choices.begin(); choice != multiple_choices.end(); ++choice)
+  {
+    const unsigned int selection = (run_no / possibilities) % choice->different_values.size();
+    std::string        entry_value;
+    if(choice->type == Entry::variant)
+      entry_value = choice->different_values[selection];
+    else
+    {
+      if(run_no >= choice->different_values.size())
+      {
+        std::cerr << "The given array for entry <" << choice->entry_name
+                  << "> does not contain enough elements! Taking empty string instead."
+                  << std::endl;
+        entry_value = "";
+      }
+      else
+        entry_value = choice->different_values[run_no];
+    }
+
+    // temporarily enter the
+    // subsection tree of this
+    // multiple entry, set the
+    // value, and get out
+    // again. the set() operation
+    // also tests for the
+    // correctness of the value
+    // with regard to the pattern
+    subsection_path.swap(choice->subsection_path);
+    set(choice->entry_name, entry_value);
+    subsection_path.swap(choice->subsection_path);
+
+    // move ahead if it was a variant entry
+    if(choice->type == Entry::variant)
+      possibilities *= choice->different_values.size();
+  }
+}
+
+
+
+std::size_t
+MultipleParameterLoop::memory_consumption() const
+{
+  std::size_t mem = ParameterHandler::memory_consumption();
+  for(const auto & multiple_choice : multiple_choices)
+    mem += multiple_choice.memory_consumption();
+
+  return mem;
+}
+
+
+
+MultipleParameterLoop::Entry::Entry(const std::vector<std::string> & ssp,
+                                    const std::string &              Name,
+                                    const std::string &              Value)
+  : subsection_path(ssp), entry_name(Name), entry_value(Value), type(Entry::array)
+{
+}
+
+
+
+void
+MultipleParameterLoop::Entry::split_different_values()
+{
+  // split string into three parts:
+  // part before the opening "{",
+  // the selection itself, final
+  // part after "}"
+  std::string prefix(entry_value, 0, entry_value.find('{'));
+  std::string multiple(entry_value,
+                       entry_value.find('{') + 1,
+                       entry_value.rfind('}') - entry_value.find('{') - 1);
+  std::string postfix(entry_value, entry_value.rfind('}') + 1, std::string::npos);
+  // if array entry {{..}}: delete inner
+  // pair of braces
+  if(multiple[0] == '{')
+    multiple.erase(0, 1);
+  if(multiple[multiple.size() - 1] == '}')
+    multiple.erase(multiple.size() - 1, 1);
+  // erase leading and trailing spaces
+  // in multiple
+  while(std::isspace(multiple[0]))
+    multiple.erase(0, 1);
+  while(std::isspace(multiple[multiple.size() - 1]))
+    multiple.erase(multiple.size() - 1, 1);
+
+  // delete spaces around '|'
+  while(multiple.find(" |") != std::string::npos)
+    multiple.replace(multiple.find(" |"), 2, "|");
+  while(multiple.find("| ") != std::string::npos)
+    multiple.replace(multiple.find("| "), 2, "|");
+
+  while(multiple.find('|') != std::string::npos)
+  {
+    different_values.push_back(prefix + std::string(multiple, 0, multiple.find('|')) + postfix);
+    multiple.erase(0, multiple.find('|') + 1);
+  }
+  // make up the last selection ("while" broke
+  // because there was no '|' any more
+  different_values.push_back(prefix + multiple + postfix);
+  // finally check whether this was a variant
+  // entry ({...}) or an array ({{...}})
+  if((entry_value.find("{{") != std::string::npos) && (entry_value.find("}}") != std::string::npos))
+    type = Entry::array;
+  else
+    type = Entry::variant;
+}
+
+
+std::size_t
+MultipleParameterLoop::Entry::memory_consumption() const
+{
+  return (MemoryConsumption::memory_consumption(subsection_path) +
+          MemoryConsumption::memory_consumption(entry_name) +
+          MemoryConsumption::memory_consumption(entry_value) +
+          MemoryConsumption::memory_consumption(different_values) + sizeof(type));
+}
+
+DEAL_II_NAMESPACE_CLOSE
diff --git a/distributedcombigrid/examples/dealii_example/plot_times.sh b/distributedcombigrid/examples/dealii_example/plot_times.sh
new file mode 100644
index 000000000..10bcc3277
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/plot_times.sh
@@ -0,0 +1,2 @@
+#!/ bin / bash
+../../ tools / plot.py timers.json
diff --git a/distributedcombigrid/examples/dealii_example/readjsons.py b/distributedcombigrid/examples/dealii_example/readjsons.py
new file mode 100644
index 000000000..b7e7d1e71
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/readjsons.py
@@ -0,0 +1,936 @@
+import sys
+import json
+import matplotlib.pyplot as plt
+import numpy as np
+
+times={
+    "FE_Q":{
+        "1proc":{
+            "true":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            },
+            "false":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            }
+        },
+        "2proc":{
+            "true":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            },
+            "false":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            }
+        },
+        "8proc":{
+            "true":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            },
+            "false":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            }
+        },
+        "16proc":{
+            "true":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            },
+            "false":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            }
+        }
+    },
+    "FE_DGQ":{
+        "1proc":{
+            "true":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            },
+            "false":{
+                "combi10":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                },
+                "combi100":{
+                    "lmin1":[],
+                    "lmin2":[],
+                    "lmin3":[],
+                    "fullgrids":[]
+                }
+            }
+        }
+    },
+    "FE_Q_ngroup_4":{
+        "lmin1":[],
+        "lmin2":[],
+        "lmin3":[],
+        "fullgrids":[]
+    }
+}
+dofs={
+    "lmin1":[81,225,593,1505,3713,8961,21249,49665], #2 fehlen noch
+    "lmin2":[125,425,1265,3489,9153,23169,57089,137729], #1 fehlt noch
+    "lmin3":[729,2673,8289,23489,62849,161537,402945], #1 fehlt noch
+    "fullgrids":[125,729,4913,35937,274625,2146689]
+}
+errors={
+    "FE_Q":{
+        "true":{
+            "combi10":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            },
+            "combi100":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            }
+        },
+        "false":{
+            "combi10":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            },
+            "combi100":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            }
+        }
+    },
+    "FE_DGQ":{
+        "true":{
+            "combi10":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            },
+            "combi100":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            }
+        },
+        "false":{
+            "combi10":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            },
+            "combi100":{
+                "lmin1":[],
+                "lmin2":[],
+                "lmin3":[],
+                "fullgrids":[]
+            }
+        }
+    }
+}
+DG_dofs={
+    "lmin1":[256,832,2432,6656,17408,44032,108544,262144],
+    "lmin2":[512,2048,6656,19456,53248,139264,352256,868352],
+    "lmin3":[4096,16384,53248,155648,425984,1114112,2818048],
+    "fullgrids":[512,4096,32768,262144,2097152,16777216],
+}
+try:
+    #loop over all attributes
+    for method in ["Q","DGQ"]:
+        for processes in [1,2,8,16]:
+            if processes>1 and method=="DGQ":
+                continue
+            if processes==1:
+                p="1,1,1"
+            elif processes==2:
+                p="1,2,1"
+            elif processes==8:
+                p="2,2,2"
+            elif processes==16:
+                p="4,2,2"
+
+            for ncombi in [10,100]:
+                dt=1.0/ncombi
+                for DO_COMBINE in ["true","false"]:                
+                    for lmax in range(2,10):   
+                        s_lmax="_"+str(lmax)+","+str(lmax)+","+str(lmax)+"_"    
+                        
+                        for lmin in range(1,lmax+1):
+                            if lmin>3:
+                                if lmin<lmax:
+                                    continue
+                                elif lmax>7:
+                                    continue
+                            s_lmin="_"+str(lmin)+","+str(lmin)+","+str(lmin)+"_"
+                            filepath='timers/helium/FE_'+method+DO_COMBINE+"/p_"+p+"_mi"+s_lmin+"ma"+s_lmax+"ngroup_1_ncombi_"+str(ncombi)+'.json'
+                            try:
+                                with open(filepath) as json_file:
+                                    data = json.load(json_file)
+                                    corr_comp=data['rank'+str(processes)]["events"]['correct computation'][0]
+                                    lvl=""
+                                    if lmin==lmax:
+                                        lvl="fullgrids"
+                                        if lmin<4:
+                                            times["FE_"+method][str(processes)+"proc"][DO_COMBINE]["combi"+str(ncombi)]["lmin"+str(lmin)].append(corr_comp[1]-corr_comp[0])
+                                    else:
+                                        lvl="lmin"+str(lmin)
+                                    times["FE_"+method][str(processes)+"proc"][DO_COMBINE]["combi"+str(ncombi)][lvl].append(corr_comp[1]-corr_comp[0])
+                            except:
+                                print(filepath)
+                            
+
+except:
+    print(times)
+
+for lmax in range(2,10):   
+    s_lmax="_"+str(lmax)+","+str(lmax)+","+str(lmax)+"_"    
+    
+    for lmin in range(1,lmax+1):
+        if lmin>3:
+            if lmin<lmax:
+                continue
+            elif lmax>7:
+                continue
+        s_lmin="_"+str(lmin)+","+str(lmin)+","+str(lmin)+"_"
+        filepath='timers/helium/FE_Qtrue/p_2,2,1_mi'+s_lmin+"ma"+s_lmax+"ngroup_4_ncombi_10.json"
+        try:
+            with open(filepath) as json_file:
+                data = json.load(json_file)
+                corr_comp=data['rank'+str(processes)]["events"]['correct computation'][0]
+                lvl=""
+                if lmin==lmax:
+                    lvl="fullgrids"
+                    if lmin<4:
+                        times["FE_Q_ngroup_4"]["lmin"+str(lmin)].append(corr_comp[1]-corr_comp[0])
+                else:
+                    lvl="lmin"+str(lmin)
+                times["FE_Q_ngroup_4"][lvl].append(corr_comp[1]-corr_comp[0])
+        except:
+            print(filepath)
+
+#print(times)
+
+f = open("L2_errors.dat", "r")
+processes=1
+for x in f:
+    if not (x.startswith("Q ") or x.startswith("DGQ ")):
+        name, val=x.split("=")
+        method,do_combine,ncombi,min_lvl,max_lvl=name.split("_")
+        lvl=""
+        if processes==1:
+            if min_lvl==max_lvl:
+                lvl="fullgrids"
+                if int(min_lvl)<4:
+                    errors["FE_"+method][do_combine]["combi"+str(ncombi)]["lmin"+str(min_lvl)].append(float(val))
+            else:
+                lvl="lmin"+str(min_lvl)
+            errors["FE_"+method][do_combine]["combi"+str(ncombi)][lvl].append(float(val))
+    else:
+        #compute the number of processes
+        procs=x.split(", p=")[1]
+        [one,two, three]=procs.split()
+        print([one,two, three])
+        if int(one)*int(two)*int(three)>1:
+            processes=2
+        else:
+            processes=1
+        
+f.close()
+#print(errors)
+
+#plots error vs DOF decay
+def CG_error_dof_10_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["true"]["combi10"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["true"]["combi10"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["true"]["combi10"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["true"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_dof_10_true.png")
+    plt.close()
+
+#CG_error_dof_10_true()
+#plots error vs DOF decay    
+def CG_error_dof_100_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["true"]["combi100"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["true"]["combi100"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["true"]["combi100"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["true"]["combi100"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=100, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_dof_100_true.png")
+    plt.close()
+
+#CG_error_dof_100_true()
+#plots error vs DOF decay    
+def CG_error_dof_10_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["false"]["combi10"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["false"]["combi10"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["false"]["combi10"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["false"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_dof_10_false.png")
+    plt.close()
+
+#CG_error_dof_10_false()
+#plots error vs DOF decay
+def CG_error_dof_100_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["false"]["combi100"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["false"]["combi100"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["false"]["combi100"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["false"]["combi100"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=100, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_dof_100_false.png")
+    plt.close()
+
+#CG_error_dof_100_false()
+#plots error vs Time decay
+def CG_error_times_10_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"],errors["FE_Q"]["true"]["combi10"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin2"],errors["FE_Q"]["true"]["combi10"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin3"],errors["FE_Q"]["true"]["combi10"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["fullgrids"],errors["FE_Q"]["true"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_times_10_true.png")
+    plt.close()
+
+#CG_error_times_10_true()
+#plots error vs time decay    
+def CG_error_times_100_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin1"],errors["FE_Q"]["true"]["combi100"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin2"],errors["FE_Q"]["true"]["combi100"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin3"],errors["FE_Q"]["true"]["combi100"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["fullgrids"],errors["FE_Q"]["true"]["combi100"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=100, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_times_100_true.png")
+    plt.close()
+
+#CG_error_times_100_true()
+#plots error vs time decay
+def CG_error_times_10_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"],errors["FE_Q"]["false"]["combi10"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"],errors["FE_Q"]["false"]["combi10"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"],errors["FE_Q"]["false"]["combi10"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["fullgrids"],errors["FE_Q"]["false"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_times_10_false.png")
+    plt.close()
+
+#CG_error_times_10_false()
+#plots error vs time decay
+def CG_error_times_100_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin1"],errors["FE_Q"]["false"]["combi100"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin2"],errors["FE_Q"]["false"]["combi100"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin3"],errors["FE_Q"]["false"]["combi100"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["fullgrids"],errors["FE_Q"]["false"]["combi100"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error CG, ncombi=100, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_error_times_100_false.png")
+    plt.close()
+
+#CG_error_times_100_false()
+#plots DG error vs time decay
+def DG_error_times_10_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin1"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin1"][:6], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin2"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin2"][:6], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin3"][:5],errors["FE_DGQ"]["false"]["combi10"]["lmin3"][:5], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["fullgrids"][:6],errors["FE_DGQ"]["false"]["combi10"]["fullgrids"][:6], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error DG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/DG_error_times_10_false.png")
+    plt.close()
+
+#DG_error_times_10_false()
+
+def DG_error_dof_10_false():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(DG_dofs["lmin1"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin1"][:6], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(DG_dofs["lmin2"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin2"][:6], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(DG_dofs["lmin3"][:5],errors["FE_DGQ"]["false"]["combi10"]["lmin3"][:5], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(DG_dofs["fullgrids"][:6],errors["FE_DGQ"]["false"]["combi10"]["fullgrids"][:6], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error DG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/DG_error_dofs_10_false.png")
+    plt.close()
+
+#DG_error_dof_10_false()
+#plots DG error vs time decay
+def DG_error_times_10_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin1"],errors["FE_DGQ"]["true"]["combi10"]["lmin1"][:1], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin2"],errors["FE_DGQ"]["true"]["combi10"]["lmin2"][:2], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin3"],errors["FE_DGQ"]["true"]["combi10"]["lmin3"][:1], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["fullgrids"][:5],errors["FE_DGQ"]["true"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error DG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/DG_error_times_10_true.png")
+    plt.close()
+
+#DG_error_times_10_true()
+
+def DG_error_dofs_10_true():
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel('#DOF')
+    plt.plot(DG_dofs["lmin1"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin1"], label="$l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(DG_dofs["lmin2"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin2"], label="$l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(DG_dofs["lmin3"][:5],errors["FE_DGQ"]["true"]["combi10"]["lmin3"], label="$l_{min}=3$",linestyle='dotted', marker='+')
+    plt.plot(DG_dofs["fullgrids"][:6],errors["FE_DGQ"]["true"]["combi10"]["fullgrids"], label="Fullgrids",linestyle='dashdot', marker='v')
+    plt.title("Error DG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/DG_error_dofs_10_true.png")
+    plt.close()
+
+#DG_error_dofs_10_true()
+#plots CG vs DG with combination and ncombi=10
+def CG_vs_DG_10_true_times():
+    print("ich vergeleiche CG und DG mit combi und 10 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"],errors["FE_Q"]["true"]["combi10"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin2"],errors["FE_Q"]["true"]["combi10"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin3"],errors["FE_Q"]["true"]["combi10"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["fullgrids"],errors["FE_Q"]["true"]["combi10"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin1"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin1"], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin2"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin2"], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin3"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin3"], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi10"]["fullgrids"][:5],errors["FE_DGQ"]["true"]["combi10"]["fullgrids"], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_times_10_true.png")
+    plt.close()
+
+#CG_vs_DG_10_true_times()
+#plots CG vs DG with combination and ncombi=10
+def CG_vs_DG_10_true_dof():
+    print("ich vergeleiche CG und DG mit combi und 10 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["true"]["combi10"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["true"]["combi10"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["true"]["combi10"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["true"]["combi10"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(dofs["lmin1"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin1"], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    plt.plot(dofs["lmin2"][:6],errors["FE_DGQ"]["true"]["combi10"]["lmin2"], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(dofs["lmin3"][:5],errors["FE_DGQ"]["true"]["combi10"]["lmin3"], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(dofs["fullgrids"][:5],errors["FE_DGQ"]["true"]["combi10"]["fullgrids"], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=10, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_dofs_10_true.png")
+    plt.close()
+
+#CG_vs_DG_10_true_dof()
+#plots CG vs DG with combination and ncombi=100
+def CG_vs_DG_100_true_times():
+    print("ich vergeleiche CG und DG mit combi und 100 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin1"],errors["FE_Q"]["true"]["combi100"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin2"],errors["FE_Q"]["true"]["combi100"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin3"],errors["FE_Q"]["true"]["combi100"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["fullgrids"],errors["FE_Q"]["true"]["combi100"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin1"],errors["FE_DGQ"]["true"]["combi100"]["lmin1"], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin2"],errors["FE_DGQ"]["true"]["combi100"]["lmin2"], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin3"],errors["FE_DGQ"]["true"]["combi100"]["lmin3"], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["true"]["combi100"]["fullgrids"],errors["FE_DGQ"]["true"]["combi100"]["fullgrids"], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=100, with combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_times_100_true.png")
+    plt.close()
+
+#CG_vs_DG_100_true_times()
+#plots CG vs DG with ncombi=10 and no combination
+def CG_vs_DG_10_false_times():
+    print("ich vergeleiche CG und DG mit combi und 10 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"][:6],errors["FE_Q"]["false"]["combi10"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    #plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"],errors["FE_Q"]["false"]["combi10"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    #plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"],errors["FE_Q"]["false"]["combi10"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["fullgrids"][:6],errors["FE_Q"]["false"]["combi10"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin1"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin1"][:6], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    #plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin2"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin2"][:6], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    #plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin3"][:5],errors["FE_DGQ"]["false"]["combi10"]["lmin3"][:5], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi10"]["fullgrids"][:6],errors["FE_DGQ"]["false"]["combi10"]["fullgrids"][:6], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_times_10_false.png")
+    plt.close()
+#TODO:hier noch n besseren Vergleoich überlegen.
+#CG_vs_DG_10_false_times()
+
+#plots CG vs DG with ncombi=10 and no combination
+def CG_vs_DG_10_false_dof():
+    print("ich vergeleiche CG und DG mit combi und 10 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF'")
+    plt.plot(dofs["lmin1"],errors["FE_Q"]["false"]["combi10"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],errors["FE_Q"]["false"]["combi10"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    plt.plot(dofs["lmin3"],errors["FE_Q"]["false"]["combi10"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(dofs["fullgrids"],errors["FE_Q"]["false"]["combi10"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(DG_dofs["lmin1"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin1"][:6], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    plt.plot(DG_dofs["lmin2"][:6],errors["FE_DGQ"]["false"]["combi10"]["lmin2"][:6], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(DG_dofs["lmin3"][:5],errors["FE_DGQ"]["false"]["combi10"]["lmin3"][:5], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(DG_dofs["fullgrids"][:5],errors["FE_DGQ"]["false"]["combi10"]["fullgrids"][:5], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=10, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_dof_10_false.png")
+    plt.close()
+
+#CG_vs_DG_10_false_dof()
+#plots CG vs DG ncombi100 and no combination
+def CG_vs_DG_100_false_times():
+    print("ich vergeleiche CG und DG mit combi und 100 ncombi, times")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("Computation time")
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin1"],errors["FE_Q"]["false"]["combi100"]["lmin1"], label="CG, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin2"],errors["FE_Q"]["false"]["combi100"]["lmin2"], label="CG, $l_{min}=2$",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin3"],errors["FE_Q"]["false"]["combi100"]["lmin3"], label="CG, $l_{min}=3$",linestyle='dotted', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi100"]["fullgrids"],errors["FE_Q"]["false"]["combi100"]["fullgrids"], label="CG, Fullgrids",linestyle='dashdot', marker='o')
+    
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin1"],errors["FE_DGQ"]["false"]["combi100"]["lmin1"], label="DG, $l_{min}=1$",linestyle='solid', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin2"],errors["FE_DGQ"]["false"]["combi100"]["lmin2"], label="DG, $l_{min}=2$",linestyle='dashed', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin3"],errors["FE_DGQ"]["false"]["combi100"]["lmin3"], label="DG, $l_{min}=3$",linestyle='dotted', marker='*')
+    plt.plot(times["FE_DGQ"]["1proc"]["false"]["combi100"]["fullgrids"],errors["FE_DGQ"]["false"]["combi100"]["fullgrids"], label="DG, Fullgrids",linestyle='dashdot', marker='*')
+    
+    plt.title("CG vs DG, ncombi=100, without combination")
+    plt.legend()
+    plt.savefig("tex_img/CG_vs_DG_error_times_100_false.png")
+    plt.close()
+
+#CG_vs_DG_100_false_times()
+#plots CG comparison of combination, ncombi=100
+def CG_combi_compare_100():
+    print("ich vergleiche CG_100_false mit CG_100_true")
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF") 
+    plt.plot(dofs["lmin1"],
+    100*np.divide(np.subtract(errors["FE_Q"]["false"]["combi100"]["lmin1"],errors["FE_Q"]["true"]["combi100"]["lmin1"]),errors["FE_Q"]["false"]["combi100"]["lmin1"]), label="CG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],
+    100*np.divide(np.subtract(errors["FE_Q"]["false"]["combi100"]["lmin2"],errors["FE_Q"]["true"]["combi100"]["lmin2"]),errors["FE_Q"]["false"]["combi100"]["lmin2"]), label="CG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin3"],
+    100*np.divide(np.subtract(errors["FE_Q"]["false"]["combi100"]["lmin3"],errors["FE_Q"]["true"]["combi100"]["lmin3"]),errors["FE_Q"]["false"]["combi100"]["lmin3"]), label="CG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("CG combination vs without combination, ncombi=100")
+    plt.legend()
+    plt.savefig("tex_img/CG_combi_compare_100_errors.png")
+    plt.close()
+
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("relative Time difference")
+    plt.xlabel("#DOF") 
+    plt.plot(dofs["lmin1"],
+    100*np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin1"],times["FE_Q"]["1proc"]["false"]["combi100"]["lmin1"]),times["FE_Q"]["1proc"]["false"]["combi100"]["lmin1"]), label="CG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"],
+    100*np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin2"],times["FE_Q"]["1proc"]["false"]["combi100"]["lmin2"]),times["FE_Q"]["1proc"]["false"]["combi100"]["lmin2"]), label="CG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin3"],
+    100*np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin3"],times["FE_Q"]["1proc"]["false"]["combi100"]["lmin3"]),times["FE_Q"]["1proc"]["false"]["combi100"]["lmin3"]), label="CG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("CG combination vs without combination, ncombi=100")
+    plt.legend()
+    plt.savefig("tex_img/CG_combi_compare_100_times.png")
+    plt.close()
+
+#CG_combi_compare_100()
+#plots CG comparison of combination with ncombi=10
+def CG_combi_compare_10():
+    print("ich vergleiche CG_100_false mit CG_10_true")
+    #plt.yscale("log")
+    # plt.xscale("log")
+    # plt.ylabel("Error")
+    # plt.xlabel("#DOF") 
+    # plt.ylim([0,0.5])
+    # plt.plot(dofs["lmin1"],
+    # np.divide(np.subtract(errors["FE_Q"]["false"]["combi10"]["lmin1"],errors["FE_Q"]["true"]["combi10"]["lmin1"]),errors["FE_Q"]["false"]["combi10"]["lmin1"]), label="$l_{min}=1$",linestyle='dashed', marker='o')
+    # plt.plot(dofs["lmin2"],
+    # np.divide(np.subtract(errors["FE_Q"]["false"]["combi10"]["lmin2"],errors["FE_Q"]["true"]["combi10"]["lmin2"]),errors["FE_Q"]["false"]["combi10"]["lmin2"]), label="$l_{min}=2$",linestyle='dotted', marker='*')
+    # plt.plot(dofs["lmin3"],
+    # np.divide(np.subtract(errors["FE_Q"]["false"]["combi10"]["lmin3"],errors["FE_Q"]["true"]["combi10"]["lmin3"]),errors["FE_Q"]["false"]["combi10"]["lmin3"]), label="$l_{min}=3$",linestyle='solid', marker='+')
+    
+    # plt.title("CG combination vs without combination, ncombi=10")
+    # plt.legend()
+    # plt.savefig("tex_img/CG_combi_compare_10_errors.png")
+    # plt.close()
+
+    # #plt.yscale("log")
+    # plt.xscale("log")
+    # plt.ylabel("relative Time difference")
+    # plt.xlabel("#DOF") 
+    # plt.ylim([-0.01,0.3])
+    # plt.plot(dofs["lmin1"],
+    # np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"]), label="$l_{min}=1$",linestyle='dashed', marker='o')
+    # plt.plot(dofs["lmin2"],
+    # np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin2"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"]), label="$l_{min}=2$",linestyle='dotted', marker='*')
+    # plt.plot(dofs["lmin3"],
+    # np.divide(np.subtract(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin3"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"]), label="$l_{min}=3$",linestyle='solid', marker='+')
+    
+    # plt.title("CG combination vs without combination, ncombi=10")
+    # plt.legend()
+    # plt.savefig("tex_img/CG_combi_compare_10_times.png")
+    # plt.close()
+
+    plt.xscale("log")
+    plt.yscale("log")
+    plt.ylabel("approximation error")
+    plt.xlabel("computation time") 
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"][:7],errors["FE_Q"]["true"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ with combination",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"][:7],errors["FE_Q"]["false"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ without combination",linestyle='dotted', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["fullgrids"][:6],errors["FE_Q"]["true"]["combi10"]["fullgrids"][:6], label="Fullgrids with combination",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["false"]["combi10"]["fullgrids"][:6],errors["FE_Q"]["false"]["combi10"]["fullgrids"][:6], label="Fullgrids without combination",linestyle='dotted', marker='*')
+    
+    plt.title("CG combination vs without combination, ncombi=10")
+    plt.legend()
+    plt.savefig("tex_img/CG_combi_compare_10_all.png")
+    plt.close()
+
+    plt.xscale("log")
+    plt.yscale("log")
+    plt.ylabel("approximation error")
+    plt.xlabel("#Dofs") 
+    plt.plot(dofs["lmin1"][:7],errors["FE_Q"]["true"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ with combination",linestyle='dashed', marker='o')
+    plt.plot(dofs["lmin1"][:7],errors["FE_Q"]["false"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ without combination",linestyle='dotted', marker='*')
+    plt.plot(dofs["fullgrids"][:6],errors["FE_Q"]["true"]["combi10"]["fullgrids"][:6], label="Fullgrids with combination",linestyle='dashed', marker='o')
+    plt.plot(dofs["fullgrids"][:6],errors["FE_Q"]["false"]["combi10"]["fullgrids"][:6], label="Fullgrids without combination",linestyle='dotted', marker='*')
+    
+    plt.title("CG combination vs without combination, ncombi=10")
+    plt.legend()
+    plt.savefig("tex_img/CG_combi_compare_10_all_dofs.png")
+    plt.close()
+
+CG_combi_compare_10()
+#plots DG comparison of combination with ncombi=100
+def DG_combi_compare_100():
+    print("ich vergleiche DG_100_false mit DG_10_true")
+    #plt.yscale("log")
+    plt.ylim([-1,1])
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF") 
+    plt.plot(DG_dofs["lmin1"][:6],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi100"]["lmin1"][:6],errors["FE_DGQ"]["true"]["combi100"]["lmin1"][:6]),errors["FE_DGQ"]["false"]["combi100"]["lmin1"][:6]), label="DG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(DG_dofs["lmin2"][:6],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi100"]["lmin2"][:6],errors["FE_DGQ"]["true"]["combi100"]["lmin2"][:6]),errors["FE_DGQ"]["false"]["combi100"]["lmin2"][:6]), label="DG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    plt.plot(DG_dofs["lmin3"][:5],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi100"]["lmin3"][:5],errors["FE_DGQ"]["true"]["combi100"]["lmin3"][:5]),errors["FE_DGQ"]["false"]["combi100"]["lmin3"][:5]), label="DG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("DG combination vs without combination, ncombi=100")
+    plt.legend()
+    plt.savefig("tex_img/DG_combi_compare_100_errors.png")
+    plt.close()
+
+    plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("relative Time difference")
+    plt.xlabel("#DOF") 
+    # plt.plot(DG_dofs["lmin1"][:6],
+    # np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin1"][:6],times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin1"][:6]),times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin1"][:6]), label="DG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    # plt.plot(DG_dofs["lmin2"][:6],
+    # np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin2"][:6],times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin2"][:6]),times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin2"][:6]), label="DG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    # plt.plot(DG_dofs["lmin3"][:5],
+    # np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi100"]["lmin3"][:5],times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin3"][:5]),times["FE_DGQ"]["1proc"]["false"]["combi100"]["lmin3"][:5]), label="DG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("DG combination vs without combination, ncombi=100")
+    plt.legend()
+    plt.savefig("tex_img/DG_combi_compare_100_times.png")
+    plt.close()
+
+#DG_combi_compare_100()
+#plots DG comparison of combination with ncombi=10
+def DG_combi_compare_10():
+    print("ich vergleiche DG_10_false mit CG_10_true")
+    #plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("Error")
+    plt.xlabel("#DOF") 
+    #plt.ylim([-100,1])
+    print(errors["FE_DGQ"]["false"]["combi10"]["lmin1"])
+    plt.plot(dofs["lmin1"][:6],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi10"]["lmin1"],errors["FE_DGQ"]["true"]["combi10"]["lmin1"]),errors["FE_DGQ"]["true"]["combi10"]["lmin1"]), label="DG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"][:6],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi10"]["lmin2"],errors["FE_DGQ"]["true"]["combi10"]["lmin2"]),errors["FE_DGQ"]["true"]["combi10"]["lmin2"]), label="DG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin3"][:5],
+    np.divide(np.subtract(errors["FE_DGQ"]["false"]["combi10"]["lmin3"],errors["FE_DGQ"]["true"]["combi10"]["lmin3"]),errors["FE_DGQ"]["true"]["combi10"]["lmin3"]), label="DG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("DG combination vs without combination, ncombi=10")
+    plt.legend()
+    plt.savefig("tex_img/DG_combi_compare_10_errors.png")
+    plt.close()
+
+    #plt.yscale("log")
+    plt.xscale("log")
+    plt.ylabel("relative Time difference")
+    plt.ylim([0,25])
+    plt.xlabel("#DOF") 
+    plt.plot(dofs["lmin1"][:6],
+    100*np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin1"],times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin1"]),times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin1"]), label="DG without combi, $l_{min}=1$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin2"][:6],
+    100*np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin2"],times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin2"]),times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin2"]), label="DG without combi, $l_{min}=2$",linestyle='solid', marker='o')
+    plt.plot(dofs["lmin3"][:5],
+    100*np.divide(np.subtract(times["FE_DGQ"]["1proc"]["true"]["combi10"]["lmin3"],times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin3"]),times["FE_DGQ"]["1proc"]["false"]["combi10"]["lmin3"]), label="DG without combi, $l_{min}=3$",linestyle='solid', marker='o')
+    
+    plt.title("DG combination vs without combination, ncombi=10")
+    plt.legend()
+    plt.savefig("tex_img/DG_combi_compare_10_times.png")
+    plt.close()
+    
+
+#DG_combi_compare_10()
+def parallelization_speedup():
+    print("Ich vergleiche ")
+    plt.xscale("log")
+    plt.ylabel("Computation time")
+    plt.yscale("log")
+    plt.xlabel("#processes")
+    plt.plot([1,2,8,16],[times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"][7],times["FE_Q"]["2proc"]["true"]["combi10"]["lmin1"][7],
+    times["FE_Q"]["8proc"]["true"]["combi10"]["lmin1"][7],times["FE_Q_ngroup_4"]["lmin1"][4]],
+    label="$l_{\mathrm{min}}=1, l_{\mathrm{max}}=9$",marker='o', linestyle='dashed')
+    
+    plt.plot([1,2,8,16],[times["FE_Q"]["1proc"]["true"]["combi10"]["lmin2"][6],times["FE_Q"]["2proc"]["true"]["combi10"]["lmin2"][6],
+    times["FE_Q"]["8proc"]["true"]["combi10"]["lmin2"][6],times["FE_Q"]["16proc"]["true"]["combi10"]["lmin2"][6]],label="$l_{\mathrm{min}}=2, l_{\mathrm{max}}=8$",linestyle='solid',marker='+')
+    
+    plt.plot([1,2,8,16],[times["FE_Q"]["1proc"]["true"]["combi10"]["fullgrids"][5],times["FE_Q"]["2proc"]["true"]["combi10"]["fullgrids"][5],
+    times["FE_Q"]["8proc"]["true"]["combi10"]["fullgrids"][5],times["FE_Q"]["16proc"]["true"]["combi10"]["fullgrids"][5]],label="Fullgrid l=7",linestyle='dotted',marker='*')
+    plt.legend()
+    plt.xticks([1,2,8,16],[1,2,8,16])
+    plt.savefig("tex_img/parallel.png")
+    plt.close()
+
+#parallelization_speedup()
+#compares ncombi10 to ncombi100
+def CG_dt_compare_true():
+    print("Ich bin ein Vergleich zwischen den Zeitschrittweiten. Bringt es mehr zeitschritte zu berechnen oder reichen 10 aus?")
+    #plt.yscale("log")
+    # plt.xscale("log")
+    # plt.ylabel("relative error")
+    # plt.xlabel("#DOF")
+    # plt.ylim([0,0.042])
+    # plt.yticks([0,0.02,0.04],[0,0.02,0.04])
+    # plt.plot(dofs["lmin1"],np.divide(np.subtract(errors["FE_Q"]["true"]["combi10"]["lmin1"],errors["FE_Q"]["true"]["combi100"]["lmin1"]),errors["FE_Q"]["true"]["combi10"]["lmin1"]), label="$l_{min}=1$",linestyle='solid', marker='o')
+    # plt.plot(dofs["lmin2"],np.divide(np.subtract(errors["FE_Q"]["true"]["combi10"]["lmin2"],errors["FE_Q"]["true"]["combi100"]["lmin2"]),errors["FE_Q"]["true"]["combi10"]["lmin2"]), label="$l_{min}=2$",linestyle='dashed', marker='*')
+    # plt.plot(dofs["lmin3"][:6],np.divide(np.subtract(errors["FE_Q"]["true"]["combi10"]["lmin3"][:6],errors["FE_Q"]["true"]["combi100"]["lmin3"][:6]),errors["FE_Q"]["true"]["combi10"]["lmin3"][:6]), label="$l_{min}=3$",linestyle='dotted', marker='+')
+    # #plt.plot(dofs["fullgrids"],np.abs(np.subtract(errors["FE_Q"]["true"]["combi10"]["fullgrids"],errors["FE_Q"]["true"]["combi100"]["fullgrids"])), label="Fullgrids",linestyle='dashdot', marker='v')
+    # #plt.title("Absolute difference of CG ncombi=10 to CG with ncombi=100, with combination.")
+    # plt.legend()
+    # plt.savefig("tex_img/CG_error_dof_compare_true.png")
+    # plt.close()
+    # plt.yscale("log")
+    # plt.xscale("log")
+    # plt.ylabel("relative time difference")
+    # plt.xlabel("#DOF")
+    # plt.yticks([0.3,1,2,3,4],[0.3,1,2,3,4])
+    # plt.plot(dofs["lmin1"],np.divide(np.subtract(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin1"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin1"]), label="$l_{min}=1$",linestyle='solid', marker='o')
+    # plt.plot(dofs["lmin2"],np.divide(np.subtract(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin2"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin2"]), label="$l_{min}=2$",linestyle='dashed', marker='*')
+    # plt.plot(dofs["lmin3"],np.divide(np.subtract(times["FE_Q"]["1proc"]["false"]["combi100"]["lmin3"],times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"]),times["FE_Q"]["1proc"]["false"]["combi10"]["lmin3"]), label="$l_{min}=3$",linestyle='dotted', marker='+')
+    # plt.plot(dofs["fullgrids"],np.divide(np.subtract(times["FE_Q"]["1proc"]["false"]["combi100"]["fullgrids"],times["FE_Q"]["1proc"]["false"]["combi10"]["fullgrids"]),times["FE_Q"]["1proc"]["false"]["combi10"]["fullgrids"]), label="Fullgrids",linestyle='dashdot', marker='v')
+    # #plt.title("Absolute difference of CG ncombi=10 to CG with ncombi=100, without combination.")
+    # plt.legend()
+    # plt.savefig("tex_img/CG_times_dof_compare_false.png")
+    # plt.close()
+
+    plt.xscale("log")
+    plt.yscale("log")
+    plt.ylabel("approximation error")
+    plt.xlabel("computation time") 
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["lmin1"][:7],errors["FE_Q"]["true"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ dt=0.1",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["lmin1"][:6],errors["FE_Q"]["true"]["combi100"]["lmin1"][:7], label="$l_{min}=1$ dt=0.01",linestyle='dotted', marker='*')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi10"]["fullgrids"][:6],errors["FE_Q"]["true"]["combi10"]["fullgrids"][:6], label="Fullgrids dt=0.1",linestyle='dashed', marker='o')
+    plt.plot(times["FE_Q"]["1proc"]["true"]["combi100"]["fullgrids"][:6],errors["FE_Q"]["true"]["combi100"]["fullgrids"][:6], label="Fullgrids dt=0.01",linestyle='dotted', marker='*')
+    
+    plt.title("CG combination 10 vs 100 timesteps")
+    plt.legend()
+    plt.savefig("tex_img/CG_dt_combi_compare_all.png")
+    plt.close()
+
+    plt.xscale("log")
+    plt.yscale("log")
+    plt.ylabel("approximation error")
+    plt.xlabel("#DOF") 
+    plt.plot(dofs["lmin1"][:7],errors["FE_Q"]["true"]["combi10"]["lmin1"][:7], label="$l_{min}=1$ dt=0.1",linestyle='dashed', marker='o')
+    plt.plot(dofs["lmin1"][:6],errors["FE_Q"]["true"]["combi100"]["lmin1"][:7], label="$l_{min}=1$ dt=0.01",linestyle='dotted', marker='*')
+    plt.plot(dofs["fullgrids"][:6],errors["FE_Q"]["true"]["combi10"]["fullgrids"][:6], label="Fullgrids dt=0.1",linestyle='dashed', marker='o')
+    plt.plot(dofs["fullgrids"][:6],errors["FE_Q"]["true"]["combi100"]["fullgrids"][:6], label="Fullgrids dt=0.01",linestyle='dotted', marker='*')
+    
+    plt.title("CG combination 10 vs 100 timesteps")
+    plt.legend()
+    plt.savefig("tex_img/CG_dt_combi_compare_all_dofs.png")
+    plt.close()
+
+#CG_dt_compare_true()
diff --git a/distributedcombigrid/examples/dealii_example/run.sh b/distributedcombigrid/examples/dealii_example/run.sh
new file mode 100755
index 000000000..481d20a6a
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/run.sh
@@ -0,0 +1,5 @@
+#!/bin/bash
+. ./test_dg_combi_10.sh
+. ./test_dg_nocombi_10.sh
+. ./test_dg_combi_100.sh
+. ./test_dg_ncombi_100.sh
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/run2.sh b/distributedcombigrid/examples/dealii_example/run2.sh
new file mode 100644
index 000000000..3618be92f
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/run2.sh
@@ -0,0 +1,3 @@
+rm  solution/*
+rm deal_config/*
+mpirun -np 2 ./dealii_example
diff --git a/distributedcombigrid/examples/dealii_example/test.sh b/distributedcombigrid/examples/dealii_example/test.sh
new file mode 100644
index 000000000..cf51b7b86
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test.sh
@@ -0,0 +1,10 @@
+echo -e "rm  solution/*
+rm deal_config/*
+mpirun -np 2 ./dealii_example" > run2.sh
+
+#. ./test_cg_nocombi.sh
+#. ./test_cg_combi.sh
+#. ./test_dg_nocombi.sh
+#. ./test_dg_combi.sh
+
+. ./test_cg_parallel.sh
diff --git a/distributedcombigrid/examples/dealii_example/test_cg_combi.sh b/distributedcombigrid/examples/dealii_example/test_cg_combi.sh
new file mode 100644
index 000000000..2b55db3ef
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_cg_combi.sh
@@ -0,0 +1,71 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+'''echo "\n CG with combination now ncombi=100 und dt=0.01">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_Q \n DO_COMBINE=False \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done'''
+echo "\n CG with combination now ncombi=10 und dt=0.1">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=8;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        if ((lmax>6))
+        then 
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_cg_nocombi.sh b/distributedcombigrid/examples/dealii_example/test_cg_nocombi.sh
new file mode 100644
index 000000000..a350769e0
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_cg_nocombi.sh
@@ -0,0 +1,68 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+echo "\n CG without combination now ncombi=100 und dt=0.01">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_Q \n DO_COMBINE=False \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,${lmax}_0.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>1 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false10_0.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat Q_false_10_${lmin}_${lmax} CG
+
+        #copy the output from the error file to errors.
+    done
+done
+echo "\n CG without combination now ncombi=10 und dt=0.1">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=True \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,${lmax}_0.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>1 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true10_0.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat Q_true_10_${lmin}_${lmax}= CG
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_cg_nocombi_10.sh b/distributedcombigrid/examples/dealii_example/test_cg_nocombi_10.sh
new file mode 100644
index 000000000..888e8bd69
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_cg_nocombi_10.sh
@@ -0,0 +1,35 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=False \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,${lmax}_0.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>1 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false10_0.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat CG_false_10_${lmin}_${lmax}= CG
+
+        #copy the output from the error file to errors.
+    done
+done
diff --git a/distributedcombigrid/examples/dealii_example/test_cg_parallel.sh b/distributedcombigrid/examples/dealii_example/test_cg_parallel.sh
new file mode 100644
index 000000000..2a8532c99
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_cg_parallel.sh
@@ -0,0 +1,153 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+echo "\n CG with combination now ncombi=100 und dt=0.01 Parallel">> l2_error_combi.dat
+echo -e "rm  solution/*
+rm deal_config/*
+mpirun -np 3 ./dealii_example" > run2.sh
+
+
+for ((lmax=2;lmax<=9;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        if ((lmax>6))
+        then 
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 2 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 2 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+echo -e "rm  solution/*
+rm deal_config/*
+mpirun -np 5 ./dealii_example" > run2.sh
+for ((lmax=2;lmax<=9;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        if ((lmax>6))
+        then 
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 4\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+
+for ((lmax=2;lmax<=9;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        if ((lmax>6))
+        then 
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 4\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+
+
+echo -e "rm  solution/*
+rm deal_config/*
+mpirun -np 3 ./dealii_example" > run2.sh
+for ((lmax=2;lmax<=9;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        if ((lmax>6))
+        then 
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 2 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 2 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_combi.sh b/distributedcombigrid/examples/dealii_example/test_dg_combi.sh
new file mode 100644
index 000000000..ec34ecaa7
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_combi.sh
@@ -0,0 +1,68 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+echo "\n DG with combination now ncombi=100 und dt=0.01">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat5"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat5"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+echo "\n DG with combination now ncombi=10 und dt=0.1">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat5"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat5"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_combi2d.sh b/distributedcombigrid/examples/dealii_example/test_dg_combi2d.sh
new file mode 100644
index 000000000..312277c79
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_combi2d.sh
@@ -0,0 +1,38 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+echo "\n DG with combination now ncombi=10 und dt=0.1 and 2d">> l2_error_combi.dat
+
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=2 \nlmin= $lmax $lmax \nlmax= $lmax $lmax  \nleval= $lmax $lmax 
+    p= 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=False \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=2 \nlmin= $lmin $lmin \nlmax=$lmax $lmax \nleval=$lmax $lmax 
+        p= 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,${lmin}_ma_$lmax,${lmax}_ev_$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_combi_10.sh b/distributedcombigrid/examples/dealii_example/test_dg_combi_10.sh
new file mode 100644
index 000000000..50fb1ec88
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_combi_10.sh
@@ -0,0 +1,35 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level7,7,7_0_1_2_3_4_5_6_7.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=7 7 7
+        p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_7,7,7_combi_true10_0_1_2_3_4_5_6_7.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat DGQ_true_10_${lmin}_${lmax}= CG
+
+        #copy the output from the error file to errors.
+    done
+done
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_combi_100.sh b/distributedcombigrid/examples/dealii_example/test_dg_combi_100.sh
new file mode 100644
index 000000000..542663e8c
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_combi_100.sh
@@ -0,0 +1,35 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,${lmax}_0_1_2_3_4_5_6_7.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true100_0_1_2_3_4_5_6_7.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat DGQ_true_100_${lmin}_${lmax} CG
+
+        #copy the output from the error file to errors.
+    done
+done
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_ncombi_100.sh b/distributedcombigrid/examples/dealii_example/test_dg_ncombi_100.sh
new file mode 100644
index 000000000..afe5c4aaf
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_ncombi_100.sh
@@ -0,0 +1,35 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=False \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,${lmax}_0_1_2_3_4_5_6_7.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=false \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false100_0_1_2_3_4_5_6_7.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat DGQ_false_100_${lmin}_${lmax} CG
+
+        #copy the output from the error file to errors.
+    done
+done
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_nocombi.sh b/distributedcombigrid/examples/dealii_example/test_dg_nocombi.sh
new file mode 100644
index 000000000..c6b2ef132
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_nocombi.sh
@@ -0,0 +1,68 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+echo "\n DG without combination now ncombi=100 und dt=0.01">> l2_error_combi.dat
+
+for ((lmax=5;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=False \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat5"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=false \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false.dat5"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+echo "\n DG without combination now ncombi=10 und dt=0.1">> l2_error_combi.dat
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=False \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat5"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false.dat5"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_combi.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_nocombi_10.sh b/distributedcombigrid/examples/dealii_example/test_dg_nocombi_10.sh
new file mode 100644
index 000000000..5f3881ee4
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_nocombi_10.sh
@@ -0,0 +1,35 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=7;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=False \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level7,7,7_0_1_2_3_4_5_6_7.dat"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=7 7 7
+        p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=false \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_7,7,7_combi_false10_0_1_2_3_4_5_6_7.dat"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution L2_errors.dat DGQ_false_10_${lmin}_${lmax}= CG
+
+        #copy the output from the error file to errors.
+    done
+done
diff --git a/distributedcombigrid/examples/dealii_example/test_dg_vscg.sh b/distributedcombigrid/examples/dealii_example/test_dg_vscg.sh
new file mode 100644
index 000000000..9a78607a9
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/test_dg_vscg.sh
@@ -0,0 +1,68 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+echo "\n DG with combination now ncombi=10 und dt=0.1, e=9">> l2_error_cgdg.dat
+
+for ((lmax=2;lmax<=4;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat5"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat5"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_cgdg.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
+echo "\n CG with combination now ncombi=10 und dt=0.1, e=9">> l2_error_cgdg.dat
+
+for ((lmax=2;lmax<=4;lmax++)); do
+    echo "lmax=$lmax"
+    echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    p= 1 1 1\nncombi=100 \nFE=FE_Q \n DO_COMBINE=True \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        if ((lmin>3 ))
+        then
+        if ((lmin<lmax))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=10 \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_true.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error_cgdg.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
+
diff --git a/distributedcombigrid/examples/dealii_example/testing.sh b/distributedcombigrid/examples/dealii_example/testing.sh
new file mode 100644
index 000000000..b3fed1951
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/testing.sh
@@ -0,0 +1,36 @@
+#!/bin/bash
+
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo "lmax=$lmax"
+    #echo -e "[ct] \ndim=3 \nlmin= $lmax $lmax $lmax\nlmax= $lmax $lmax $lmax \nleval= $lmax $lmax $lmax
+    #p= 1 1 1\nncombi=10 \nFE=FE_DGQ \n DO_COMBINE=True \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+    #sh  ./run2.sh
+    referencesolution="out/FE_Q/exact_solution_level$lmax,$lmax,$lmax.dat0"
+    for ((lmin=2;lmin<=lmax;lmin ++)); do
+        if ((lmin==5 ))
+        then
+        if ((lmax<=3))
+        then
+        continue
+        fi
+        fi
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin= $lmin $lmin $lmin\nlmax=$lmax $lmax $lmax\nleval=$lmax $lmax $lmax
+        p= 1 1 1\nncombi=100 \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=false" > ctparam
+        sh  ./run2.sh
+        fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false.dat0"
+        
+        #now calculate the error
+         
+        ../../tools/errorCalc abs $fileOne $referencesolution l2_error.dat ${lmin}_${lmax}
+
+        #copy the output from the error file to errors.
+    done
+done
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/testing_DG.sh b/distributedcombigrid/examples/dealii_example/testing_DG.sh
new file mode 100644
index 000000000..d0cbaa52b
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/testing_DG.sh
@@ -0,0 +1,28 @@
+#!/bin/bash
+
+paramfile='ctparam'
+log='log'
+#create ctparam
+
+for ((lmax=2;lmax<=6;lmax++)); do
+    echo -e "[ct] \ndim=3 \nlmin=$lmax $lmax $lmax \nlmax=$lmax $lmax $lmax \nleval=$lmax $lmax $lmax 
+    p= 1 1 1\nncombi=1 \n DO_COMBINE=true \nFE=FE_DGQ \n \n[application]\ndt=1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact] \n makeExact=true" > ctparam
+#this generates the reference, fine discretized solution
+sh  ./run2.sh
+
+
+    for ((lmin=1;lmin<=lmax;lmin ++)); do
+        echo "lmin=$lmin" >> log
+        #create ctparam
+        echo -e "[ct] \ndim=3 \nlmin=$lmin $lmin $lmin \nlmax=$lmax $lmax $lmax \nleval=$lmax $lmax $lmax 
+        p= 1 1 1\nncombi=10 \nDO_COMBINE=false \nFE=FE_DGQ \n \n[application]\ndt=0.1\n \n[manager]\nngroup = 1\nnprocs = 1 \n [exact]\n makeExact=false" > ctparam
+        sh  ./run2.sh
+        for i in 0 1 2 3 4 5 6 7; do
+            fileOne="out/FE_DGQ/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$lmax,$lmax,${lmax}_combi_false.dat$i"
+            referencesolution="out/FE_DGQ/exact_solution_level$lmax,$lmax,$lmax.dat$i"
+            #now calculate the error
+            ../../tools/errorCalc abs  $referencesolution $fileOne l2_error_DG.dat ${lmin}_${lmax}_$i
+        done
+        #copy the output from the error file to errors.
+    done
+done
\ No newline at end of file
diff --git a/distributedcombigrid/examples/dealii_example/testing_ncombi.sh b/distributedcombigrid/examples/dealii_example/testing_ncombi.sh
new file mode 100644
index 000000000..a664a19ce
--- /dev/null
+++ b/distributedcombigrid/examples/dealii_example/testing_ncombi.sh
@@ -0,0 +1,29 @@
+leval=5
+paramfile='ctparam'
+errors='errors.txt'
+log='log'
+#create ctparam
+ncombi=100
+    for ((lmax=4;lmax<=5;lmax++)); do
+        for ((lmin=3;lmin<=lmax;lmin ++)); do
+            if (($lmax==$lmin || $lmax==5))
+            then
+            continue
+            
+            fi
+            #create ctparam
+            dt=$((1 /ncombi))
+            echo -e  "[ct] \ndim=3 \nlmin=$lmin $lmin $lmin \nlmax=$lmax $lmax $lmax \nleval=$leval $leval $leval 
+            p= 1 1 1\nncombi=$ncombi \nFE=FE_Q \n DO_COMBINE=true \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1" > ctparam
+            sh  ./run2.sh
+            fileOne="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$leval,$leval,${leval}_combi_true.dat0"
+            echo -e "[ct] \ndim=3 \nlmin=$lmin $lmin $lmin \nlmax=$lmax $lmax $lmax \nleval=$leval $leval $leval 
+            p= 1 1 1\nncombi=$ncombi \nFE=FE_Q \n DO_COMBINE=false \n[application]\ndt=0.01\n \n[manager]\nngroup = 1\nnprocs = 1" > ctparam
+            sh  ./run2.sh
+            fileTwo="out/FE_Q/csmi_$lmin,$lmin,${lmin}_ma_$lmax,$lmax,${lmax}_ev_$leval,$leval,${leval}_combi_false.dat0"
+            #now calculate the error
+            ../../tools/errorCalc abs   $fileOne  l2_error_combi.dat ${lmin}_${lmax}_$leval
+
+            #copy the output from the error file to errors.
+        done
+    done
diff --git a/distributedcombigrid/examples/gene_distributed/Makefile b/distributedcombigrid/examples/gene_distributed/Makefile
new file mode 100644
index 000000000..56b4ba8b3
--- /dev/null
+++ b/distributedcombigrid/examples/gene_distributed/Makefile
@@ -0,0 +1,38 @@
+CC=mpicxx
+CFLAGS=-std=c++11 -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -fpic -ggdb #-DTIMING
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LDIR=$(LD_SGPP) $(LD_GLPK)
+INC=$(INC_SGPP) $(INC_GLPK)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization #-lglpk#-DDEBUG_OUTPUT
+
+CPP_FILES := $(wildcard src/*.cpp)
+OBJ_FILES := $(addprefix obj/,$(notdir $(CPP_FILES:.cpp=.o)))
+
+all: manager lib timing errorCalc
+
+manager: $(OBJ_FILES)
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o $@ $^ $(LIBS)
+
+obj/%.o: src/%.cpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -c -o $@ $< $(LIBS)
+
+lib: $(OBJ_FILES)
+	mpicxx -shared -o lib/libgenetask.so $^
+
+timing: tools/timing.c tools/timing.h
+	mpicxx $(CFLAGS) -c tools/timing.c -o tools/timing.o
+
+errorCalc: tools/errorCalcNew.cpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o errorCalc tools/errorCalcNew.cpp $(LIBS) tools/timing.o
+
+clean:
+	rm obj/*.o out/* manager lib/*
diff --git a/distributedcombigrid/examples/gene_distributed_linear/Makefile b/distributedcombigrid/examples/gene_distributed_linear/Makefile
new file mode 100644
index 000000000..7f392e176
--- /dev/null
+++ b/distributedcombigrid/examples/gene_distributed_linear/Makefile
@@ -0,0 +1,39 @@
+CC=mpicxx
+CFLAGS=-std=c++11 -g -fopenmp -Wno-deprecated-declarations -Wno-unused-local-typedefs -Wno-deprecated -Wno-uninitialized -Wall -fpic -ggdb
+
+SGPP_DIR=/home/sgsscratch/goehrims/combi
+GLPK_DIR=/home/sgsscratch/goehrims/combi/glpk
+
+LD_SGPP=-L$(SGPP_DIR)/lib/sgpp
+INC_GLPK=-I$(GLPK_DIR)/include
+LD_GLPK=-L$(GLPK_DIR)/lib
+INC_SGPP=-I$(SGPP_DIR)/distributedcombigrid/src/ 
+
+LDIR=$(LD_SGPP) $(LD_GLPK)
+INC=$(INC_SGPP) $(INC_GLPK)
+
+LIBS=-lsgppdistributedcombigrid -lboost_serialization #-lglpk #-DDEBUG_OUTPUT
+
+CPP_FILES := $(wildcard src/*.cpp)
+OBJ_FILES := $(addprefix obj/,$(notdir $(CPP_FILES:.cpp=.o)))
+
+all: manager lib timing errorCalc
+
+manager: $(OBJ_FILES)
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o $@ $^ $(LIBS)
+
+obj/%.o: src/%.cpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -c -o $@ $< $(LIBS)
+
+lib: $(OBJ_FILES)
+	mpicxx -shared -o lib/libgenetask.so $^
+
+timing: tools/timing.c tools/timing.h
+	mpicxx $(CFLAGS) -c tools/timing.c -o tools/timing.o
+
+errorCalc: tools/errorCalcNew.cpp
+	mpicxx $(CFLAGS) $(LDIR) $(INC) -o errorCalc tools/errorCalcNew.cpp $(LIBS) tools/timing.o
+
+clean:
+	rm obj/*.o out/* manager lib/*
+
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/combicom/CombiCom.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/combicom/CombiCom.hpp
index eac98ef30..f9b06e823 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/combicom/CombiCom.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/combicom/CombiCom.hpp
@@ -46,26 +46,26 @@ class CombiCom {
   static void distributedLocalReduce(DistributedFullGrid<FG_ELEMENT>& dfg,
                                      DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
 
-  template <typename FG_ELEMENT>
-  static void distributedLocalReduceNB(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                       DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
+  // template <typename FG_ELEMENT>
+  // static void distributedLocalReduceNB(DistributedFullGrid<FG_ELEMENT>& dfg,
+  //                                      DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
 
-  template <typename FG_ELEMENT>
-  static void distributedLocalReduceBlock(DistributedFullGridNonUniform<FG_ELEMENT>& dfg,
-                                          DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
+  // template <typename FG_ELEMENT>
+  // static void distributedLocalReduceBlock(DistributedFullGridNonUniform<FG_ELEMENT>& dfg,
+  //                                         DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
 
-  template <typename FG_ELEMENT>
-  static void distributedLocalReduceRed(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                        DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
+  // template <typename FG_ELEMENT>
+  // static void distributedLocalReduceRed(DistributedFullGrid<FG_ELEMENT>& dfg,
+  //                                       DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
 
-  template <typename FG_ELEMENT>
-  static void distributedLocalReduceSGR(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                        DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
+  // template <typename FG_ELEMENT>
+  // static void distributedLocalReduceSGR(DistributedFullGrid<FG_ELEMENT>& dfg,
+  //                                       DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff);
 
-  // extract subspaces of dfg from
-  template <typename FG_ELEMENT>
-  static void distributedLocalScatter(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                      DistributedSparseGrid<FG_ELEMENT>& dsg);
+  // // extract subspaces of dfg from
+  // template <typename FG_ELEMENT>
+  // static void distributedLocalScatter(DistributedFullGrid<FG_ELEMENT>& dfg,
+  //                                     DistributedSparseGrid<FG_ELEMENT>& dsg);
 
   template <typename FG_ELEMENT>
   static void distributedGlobalReduce(DistributedSparseGrid<FG_ELEMENT>& dsg);
@@ -74,116 +74,116 @@ class CombiCom {
   static void distributedGlobalReduce(DistributedSparseGridUniform<FG_ELEMENT>& dsg);
 };
 
-template <>
-inline void CombiCom::SGReduce<double>(SGrid<double>& sg, MPI_Comm comm) {
-  // init all empty subspaces
-  for (size_t i = 0; i < sg.getSize(); ++i)
-    if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
-
-  // erzeuge buffer in der größe vom vollen sg
-  std::vector<double> buf(sg.getCombinedDataSize());
-
-  // kopiere werte in buffer an richtige stelle
-  size_t idx(0);
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    real* data = sg.getData(i);
-
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      buf[idx] = data[j];
-      ++idx;
-    }
-  }
-
-  // mpi allreduce
-  MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_DOUBLE, MPI_SUM, comm);
-
-  // kopiere buffer in richtige stelle an sg_tmp
-  idx = 0;
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      sg.getData(i)[j] = buf[idx];
-      ++idx;
-    }
-  }
-}
-
-template <>
-inline void CombiCom::SGReduce<float>(SGrid<float>& sg, MPI_Comm comm) {
-  // init all empty subspaces
-  for (size_t i = 0; i < sg.getSize(); ++i)
-    if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
-
-  // erzeuge buffer in der größe vom vollen sg
-  std::vector<float> buf(sg.getCombinedDataSize());
-
-  // kopiere werte in buffer an richtige stelle
-  size_t idx(0);
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    float* data = sg.getData(i);
-
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      buf[idx] = data[j];
-      ++idx;
-    }
-  }
-
-  // mpi allreduce
-  MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_FLOAT, MPI_SUM, comm);
-
-  // kopiere buffer in richtige stelle an sg_tmp
-  idx = 0;
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      sg.getData(i)[j] = buf[idx];
-      ++idx;
-    }
-  }
-}
-
-template <>
-inline void CombiCom::SGReduce<std::complex<double> >(SGrid<std::complex<double> >& sg,
-                                                      MPI_Comm comm) {
-  int rank;
-  MPI_Comm_rank(comm, &rank);
-  std::cout << "rank " << rank << " starting SGreduce" << std::endl;
-
-  // init all empty subspaces
-  for (size_t i = 0; i < sg.getSize(); ++i)
-    if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
-
-  // erzeuge buffer in der größe vom vollen sg
-  std::vector<mycomplex> buf(sg.getCombinedDataSize());
-
-  // kopiere werte in buffer an richtige stelle
-  size_t idx(0);
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      buf[idx].r = sg.getData(i)[j].real();
-      buf[idx].i = sg.getData(i)[j].imag();
-      ++idx;
-    }
-  }
-
-  // mpi allreduce
-  MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_DOUBLE_COMPLEX, MPI_SUM,
-                comm);
-
-  // kopiere buffer in richtige stelle an sg_tmp
-  idx = 0;
-
-  for (size_t i = 0; i < sg.getSize(); ++i) {
-    for (size_t j = 0; j < sg.getDataSize(i); ++j) {
-      sg.getData(i)[j].real(buf[idx].r);
-      sg.getData(i)[j].imag(buf[idx].i);
-      ++idx;
-    }
-  }
-}
+// template <>
+// inline void CombiCom::SGReduce<double>(SGrid<double>& sg, MPI_Comm comm) {
+//   // init all empty subspaces
+//   for (size_t i = 0; i < sg.getSize(); ++i)
+//     if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
+
+//   // erzeuge buffer in der größe vom vollen sg
+//   std::vector<double> buf(sg.getCombinedDataSize());
+
+//   // kopiere werte in buffer an richtige stelle
+//   size_t idx(0);
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     real* data = sg.getData(i);
+
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       buf[idx] = data[j];
+//       ++idx;
+//     }
+//   }
+
+//   // mpi allreduce
+//   MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_DOUBLE, MPI_SUM, comm);
+
+//   // kopiere buffer in richtige stelle an sg_tmp
+//   idx = 0;
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       sg.getData(i)[j] = buf[idx];
+//       ++idx;
+//     }
+//   }
+// }
+
+// template <>
+// inline void CombiCom::SGReduce<float>(SGrid<float>& sg, MPI_Comm comm) {
+//   // init all empty subspaces
+//   for (size_t i = 0; i < sg.getSize(); ++i)
+//     if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
+
+//   // erzeuge buffer in der größe vom vollen sg
+//   std::vector<float> buf(sg.getCombinedDataSize());
+
+//   // kopiere werte in buffer an richtige stelle
+//   size_t idx(0);
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     float* data = sg.getData(i);
+
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       buf[idx] = data[j];
+//       ++idx;
+//     }
+//   }
+
+//   // mpi allreduce
+//   MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_FLOAT, MPI_SUM, comm);
+
+//   // kopiere buffer in richtige stelle an sg_tmp
+//   idx = 0;
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       sg.getData(i)[j] = buf[idx];
+//       ++idx;
+//     }
+//   }
+// }
+
+// template <>
+// inline void CombiCom::SGReduce<std::complex<double> >(SGrid<std::complex<double> >& sg,
+//                                                       MPI_Comm comm) {
+//   int rank;
+//   MPI_Comm_rank(comm, &rank);
+//   std::cout << "rank " << rank << " starting SGreduce" << std::endl;
+
+//   // init all empty subspaces
+//   for (size_t i = 0; i < sg.getSize(); ++i)
+//     if (sg.getDataSize(i) == 0) sg.initHierarchicalSpace(i, 0.0);
+
+//   // erzeuge buffer in der größe vom vollen sg
+//   std::vector<mycomplex> buf(sg.getCombinedDataSize());
+
+//   // kopiere werte in buffer an richtige stelle
+//   size_t idx(0);
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       buf[idx].r = sg.getData(i)[j].real();
+//       buf[idx].i = sg.getData(i)[j].imag();
+//       ++idx;
+//     }
+//   }
+
+//   // mpi allreduce
+//   MPI_Allreduce(MPI_IN_PLACE, &buf[0], static_cast<int>(buf.size()), MPI_DOUBLE_COMPLEX, MPI_SUM,
+//                 comm);
+
+//   // kopiere buffer in richtige stelle an sg_tmp
+//   idx = 0;
+
+//   for (size_t i = 0; i < sg.getSize(); ++i) {
+//     for (size_t j = 0; j < sg.getDataSize(i); ++j) {
+//       sg.getData(i)[j].real(buf[idx].r);
+//       sg.getData(i)[j].imag(buf[idx].i);
+//       ++idx;
+//     }
+//   }
+// }
 
 template <>
 inline void CombiCom::FGReduce<double>(FullGrid<double>& fg, RankType r, MPI_Comm comm) {
@@ -269,417 +269,417 @@ void CombiCom::FGAllreduce(FullGrid<FG_ELEMENT>& fg, MPI_Comm comm) {
   assert(!"this type is not yet implemented");
 }
 
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalReduce(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                      DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
-  assert(dfg.getDimension() == dsg.getDim());
-  assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
-  assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
-  /* todo: check if communicators are equal in the sense that they are a set of the
-   * same processes. when dfg creates the cartcomm from lcomm, it changes the
-   * communicator (which is just an int value), so simply comparing the communicators
-   * is not possible. an easy workaroun could be to additionally store the original comm
-   * which has been used in the constructor
-   */
-
-  // copy data into subspace datastructures
-  dfg.fillSubspaces();
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalReduce(DistributedFullGrid<FG_ELEMENT>& dfg,
+//                                       DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
+//   assert(dfg.getDimension() == dsg.getDim());
+//   assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
+//   assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
+//   /* todo: check if communicators are equal in the sense that they are a set of the
+//    * same processes. when dfg creates the cartcomm from lcomm, it changes the
+//    * communicator (which is just an int value), so simply comparing the communicators
+//    * is not possible. an easy workaroun could be to additionally store the original comm
+//    * which has been used in the constructor
+//    */
+
+//   // copy data into subspace datastructures
+//   dfg.fillSubspaces();
 
-  // get a list of all the subspaces in dfg
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+//   // get a list of all the subspaces in dfg
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
 
-  // rank of each process
-  int rank = dfg.getMpiRank();
+//   // rank of each process
+//   int rank = dfg.getMpiRank();
+
+//   // loop over all subspaces include in dfg
+//   // and gather those which are contained in the sparse grid
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
+
+//     if (!dsg.isContained(gatherL)) continue;
+
+//     std::vector<FG_ELEMENT> buf;
+
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(gatherL);
+
+//     // destination process to store the subspace
+//     RankType dst = dsg.getRank(dsgSubID);
+
+//     // start timing
+//     double tstart = MPI_Wtime();
+
+//     dfg.gatherSubspace(gatherL, dst, buf);
+
+//     // stop timing
+//     double time = MPI_Wtime() - tstart;
+
+//     // output min, max, avg
+//     double min, max, sum;
+//     MPI_Reduce(&time, &min, 1, MPI_DOUBLE, MPI_MIN, dst, dfg.getCommunicator());
+//     MPI_Reduce(&time, &max, 1, MPI_DOUBLE, MPI_MAX, dst, dfg.getCommunicator());
+//     MPI_Reduce(&time, &sum, 1, MPI_DOUBLE, MPI_SUM, dst, dfg.getCommunicator());
+
+//     double avg = sum / static_cast<double>(dfg.getCommunicatorSize());
+
+//     if (rank == dst) {
+//       std::cout << gatherL << " size = " << buf.size() << " times = " << min << " " << max << " "
+//                 << avg << std::endl;
+//     }
+
+//     // add the subspace data of dfg to dsg weighted by coeff
+//     if (rank == dst) {
+//       // this will only init the subspace if not yet initialized
+//       dsg.initSubspace(dsgSubID, 0.0);
+//       FG_ELEMENT* data = dsg.getData(dsgSubID);
+
+//       for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
+//         data[j] = coeff * buf[j];
+//       }
+//     }
+//   }
+// }
+
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalReduceRed(DistributedFullGrid<FG_ELEMENT>& dfg,
+//                                          DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
+//   assert(dfg.getDimension() == dsg.getDim());
+//   assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
+//   assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
+//   /* todo: check if communicators are equal in the sense that they are a set of the
+//    * same processes. when dfg creates the cartcomm from lcomm, it changes the
+//    * communicator (which is just an int value), so simply comparing the communicators
+//    * is not possible. an easy workaroun could be to additionally store the original comm
+//    * which has been used in the constructor
+//    */
+
+//   // copy data into subspace datastructures
+//   dfg.fillSubspaces();
+
+//   // get a list of all the subspaces in dfg
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+
+//   // rank of each process
+//   int rank = dfg.getMpiRank();
+
+//   // create buf that can store largest subspace
+//   std::vector<FG_ELEMENT> buf(dfg.getMaxSubspaceSize());
+
+//   // loop over all subspaces include in dfg
+//   // and gather those which are contained in the sparse grid
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
+
+//     if (!dsg.isContained(gatherL)) continue;
+
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(gatherL);
+
+//     // destination process to store the subspace
+//     RankType dst = dsg.getRank(dsgSubID);
 
-  // loop over all subspaces include in dfg
-  // and gather those which are contained in the sparse grid
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
+//     // start timing
+//     // double tstart = MPI_Wtime();
 
-    if (!dsg.isContained(gatherL)) continue;
+//     dfg.gatherSubspaceRed(gatherL, dst, buf);
 
-    std::vector<FG_ELEMENT> buf;
+//     // stop timing
+//     // double time = MPI_Wtime() - tstart;
 
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(gatherL);
+//     // output min, max, avg
+//     /*
+//      double min, max, sum;
+//      MPI_Reduce( &time, &min, 1, MPI_DOUBLE, MPI_MIN, dst, dfg.getCommunicator() );
+//      MPI_Reduce( &time, &max, 1, MPI_DOUBLE, MPI_MAX, dst, dfg.getCommunicator() );
+//      MPI_Reduce( &time, &sum, 1, MPI_DOUBLE, MPI_SUM, dst, dfg.getCommunicator() );
+//      */
 
-    // destination process to store the subspace
-    RankType dst = dsg.getRank(dsgSubID);
+//     // double avg = sum / static_cast<double>( dfg.getCommunicatorSize() );
+//     /*
+//      if( rank == dst ){
+//      std::cout << gatherL << " size = " << buf.size()
+//      << " times = " << min << " " << max << " " << avg << std::endl;
+//      }*/
+
+//     // add the subspace data of dfg to dsg weighted by coeff
+//     if (rank == dst) {
+//       // this will only init the subspace if not yet initialized
+//       dsg.initSubspace(dsgSubID, 0.0);
+//       FG_ELEMENT* data = dsg.getData(dsgSubID);
+
+//       for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
+//         data[j] = coeff * buf[j];
+//       }
+//     }
+//   }
+// }
+
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalReduceBlock(DistributedFullGridNonUniform<FG_ELEMENT>& dfg,
+//                                            DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
+//   // copy data into subspace datastructures
+//   dfg.fillSubspaces();
+
+//   // get a list of all the subspaces in dfg
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+
+//   // buffers for send and recvdata, one for each process
+//   std::vector<std::vector<FG_ELEMENT> > senddata(dfg.getCommunicatorSize());
+//   std::vector<std::vector<int> > sendsizes(dfg.getCommunicatorSize());
+//   std::vector<std::vector<int> > sendsubspaces(dfg.getCommunicatorSize());
+//   std::vector<std::vector<FG_ELEMENT> > recvdata(dfg.getCommunicatorSize());
+//   std::vector<std::vector<int> > recvsizes(dfg.getCommunicatorSize());
+//   std::vector<std::vector<int> > recvsubspaces(dfg.getCommunicatorSize());
+
+//   // loop over all subspaces include in dfg
+//   // and gather those which are contained in the sparse grid
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
+
+//     if (!dsg.isContained(gatherL)) continue;
+
+//     std::vector<FG_ELEMENT> buf;
+
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(gatherL);
 
-    // start timing
-    double tstart = MPI_Wtime();
+//     // destination process to store the subspace
+//     RankType dst = dsg.getRank(dsgSubID);
 
-    dfg.gatherSubspace(gatherL, dst, buf);
+//     // get send and recvdata for this subspace
+//     dfg.gatherSubspaceBlock(gatherL, dst, senddata, sendsizes, sendsubspaces, recvsizes,
+//                             recvsubspaces);
+//   }
 
-    // stop timing
-    double time = MPI_Wtime() - tstart;
+//   // start send and recv operations to all other processes
+//   std::vector<MPI_Request> requests;
+//   size_t totalsendsize(0), totalrecvsize(0);
 
-    // output min, max, avg
-    double min, max, sum;
-    MPI_Reduce(&time, &min, 1, MPI_DOUBLE, MPI_MIN, dst, dfg.getCommunicator());
-    MPI_Reduce(&time, &max, 1, MPI_DOUBLE, MPI_MAX, dst, dfg.getCommunicator());
-    MPI_Reduce(&time, &sum, 1, MPI_DOUBLE, MPI_SUM, dst, dfg.getCommunicator());
+//   for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
+//     MPI_Request sendrequest;
+//     MPI_Isend(senddata[r].data(), int(senddata[r].size()), MPI_INT, r, 0, dfg.getCommunicator(),
+//               &sendrequest);
+//     requests.push_back(sendrequest);
 
-    double avg = sum / static_cast<double>(dfg.getCommunicatorSize());
-
-    if (rank == dst) {
-      std::cout << gatherL << " size = " << buf.size() << " times = " << min << " " << max << " "
-                << avg << std::endl;
-    }
-
-    // add the subspace data of dfg to dsg weighted by coeff
-    if (rank == dst) {
-      // this will only init the subspace if not yet initialized
-      dsg.initSubspace(dsgSubID, 0.0);
-      FG_ELEMENT* data = dsg.getData(dsgSubID);
-
-      for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
-        data[j] = coeff * buf[j];
-      }
-    }
-  }
-}
-
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalReduceRed(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                         DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
-  assert(dfg.getDimension() == dsg.getDim());
-  assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
-  assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
-  /* todo: check if communicators are equal in the sense that they are a set of the
-   * same processes. when dfg creates the cartcomm from lcomm, it changes the
-   * communicator (which is just an int value), so simply comparing the communicators
-   * is not possible. an easy workaroun could be to additionally store the original comm
-   * which has been used in the constructor
-   */
+//     totalsendsize += senddata[r].size();
 
-  // copy data into subspace datastructures
-  dfg.fillSubspaces();
+//     // calc recv data size
+//     int rsize = 0;
 
-  // get a list of all the subspaces in dfg
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+//     for (auto s : recvsizes[r]) rsize += s;
 
-  // rank of each process
-  int rank = dfg.getMpiRank();
+//     recvdata[r].resize(rsize);
 
-  // create buf that can store largest subspace
-  std::vector<FG_ELEMENT> buf(dfg.getMaxSubspaceSize());
+//     MPI_Request recvrequest;
+//     MPI_Irecv(recvdata[r].data(), rsize, MPI_INT, r, 0, dfg.getCommunicator(), &recvrequest);
+//     requests.push_back(recvrequest);
 
-  // loop over all subspaces include in dfg
-  // and gather those which are contained in the sparse grid
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
+//     totalrecvsize += rsize;
+//   }
+
+//   MPI_Waitall(int(requests.size()), &requests[0], MPI_STATUSES_IGNORE);
+
+//   int rank = dfg.getMpiRank();
+
+//   for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
+//     if (r == rank) {
+//       std::cout << "rank " << rank << " tot send " << totalsendsize << " tot recv " << totalrecvsize
+//                 << std::endl;
+//     }
+
+//     MPI_Barrier(dfg.getCommunicator());
+//   }
+
+//   // todo: for own dsg subspaces -> put togheter subspace data from recvdata
+// }
 
-    if (!dsg.isContained(gatherL)) continue;
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalReduceNB(DistributedFullGrid<FG_ELEMENT>& dfg,
+//                                         DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
+//   assert(dfg.getDimension() == dsg.getDim());
+//   assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
+//   assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
+//   /* todo: check if communicators are equal in the sense that they are a set of the
+//    * same processes. when dfg creates the cartcomm from lcomm, it changes the
+//    * communicator (which is just an int value), so simply comparing the communicators
+//    * is not possible. an easy workaroun could be to additionally store the original comm
+//    * which has been used in the constructor
+//    */
 
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(gatherL);
+//   // copy data into subspace datastructures
+//   dfg.fillSubspaces();
 
-    // destination process to store the subspace
-    RankType dst = dsg.getRank(dsgSubID);
+//   // get a list of all the subspaces in dfg
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
 
-    // start timing
-    // double tstart = MPI_Wtime();
+//   // create buffers for all subspaces, but don't init size
+//   std::vector<std::vector<FG_ELEMENT> > buffers(dfgSubspacesLevels.size());
 
-    dfg.gatherSubspaceRed(gatherL, dst, buf);
+//   // create storage for all the requests
+//   std::vector<MPI_Request> requests;
 
-    // stop timing
-    // double time = MPI_Wtime() - tstart;
+//   // loop over all subspaces include in dfg
+//   // and gather those which are contained in the sparse grid
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
 
-    // output min, max, avg
-    /*
-     double min, max, sum;
-     MPI_Reduce( &time, &min, 1, MPI_DOUBLE, MPI_MIN, dst, dfg.getCommunicator() );
-     MPI_Reduce( &time, &max, 1, MPI_DOUBLE, MPI_MAX, dst, dfg.getCommunicator() );
-     MPI_Reduce( &time, &sum, 1, MPI_DOUBLE, MPI_SUM, dst, dfg.getCommunicator() );
-     */
-
-    // double avg = sum / static_cast<double>( dfg.getCommunicatorSize() );
-    /*
-     if( rank == dst ){
-     std::cout << gatherL << " size = " << buf.size()
-     << " times = " << min << " " << max << " " << avg << std::endl;
-     }*/
-
-    // add the subspace data of dfg to dsg weighted by coeff
-    if (rank == dst) {
-      // this will only init the subspace if not yet initialized
-      dsg.initSubspace(dsgSubID, 0.0);
-      FG_ELEMENT* data = dsg.getData(dsgSubID);
-
-      for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
-        data[j] = coeff * buf[j];
-      }
-    }
-  }
-}
-
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalReduceBlock(DistributedFullGridNonUniform<FG_ELEMENT>& dfg,
-                                           DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
-  // copy data into subspace datastructures
-  dfg.fillSubspaces();
-
-  // get a list of all the subspaces in dfg
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
-
-  // buffers for send and recvdata, one for each process
-  std::vector<std::vector<FG_ELEMENT> > senddata(dfg.getCommunicatorSize());
-  std::vector<std::vector<int> > sendsizes(dfg.getCommunicatorSize());
-  std::vector<std::vector<int> > sendsubspaces(dfg.getCommunicatorSize());
-  std::vector<std::vector<FG_ELEMENT> > recvdata(dfg.getCommunicatorSize());
-  std::vector<std::vector<int> > recvsizes(dfg.getCommunicatorSize());
-  std::vector<std::vector<int> > recvsubspaces(dfg.getCommunicatorSize());
-
-  // loop over all subspaces include in dfg
-  // and gather those which are contained in the sparse grid
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
-
-    if (!dsg.isContained(gatherL)) continue;
-
-    std::vector<FG_ELEMENT> buf;
-
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(gatherL);
-
-    // destination process to store the subspace
-    RankType dst = dsg.getRank(dsgSubID);
-
-    // get send and recvdata for this subspace
-    dfg.gatherSubspaceBlock(gatherL, dst, senddata, sendsizes, sendsubspaces, recvsizes,
-                            recvsubspaces);
-  }
+//     if (!dsg.isContained(gatherL)) continue;
 
-  // start send and recv operations to all other processes
-  std::vector<MPI_Request> requests;
-  size_t totalsendsize(0), totalrecvsize(0);
+//     // get buffer for this subspace
+//     std::vector<FG_ELEMENT>& buf = buffers[i];
 
-  for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
-    MPI_Request sendrequest;
-    MPI_Isend(senddata[r].data(), int(senddata[r].size()), MPI_INT, r, 0, dfg.getCommunicator(),
-              &sendrequest);
-    requests.push_back(sendrequest);
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(gatherL);
 
-    totalsendsize += senddata[r].size();
+//     // destination process to store the subspace
+//     RankType dst = dsg.getRank(dsgSubID);
 
-    // calc recv data size
-    int rsize = 0;
+//     // in request only request for this process are returned
+//     dfg.gatherSubspaceNB(gatherL, dst, buf, requests);
+//   }
 
-    for (auto s : recvsizes[r]) rsize += s;
-
-    recvdata[r].resize(rsize);
-
-    MPI_Request recvrequest;
-    MPI_Irecv(recvdata[r].data(), rsize, MPI_INT, r, 0, dfg.getCommunicator(), &recvrequest);
-    requests.push_back(recvrequest);
-
-    totalrecvsize += rsize;
-  }
-
-  MPI_Waitall(int(requests.size()), &requests[0], MPI_STATUSES_IGNORE);
-
-  int rank = dfg.getMpiRank();
-
-  for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
-    if (r == rank) {
-      std::cout << "rank " << rank << " tot send " << totalsendsize << " tot recv " << totalrecvsize
-                << std::endl;
-    }
-
-    MPI_Barrier(dfg.getCommunicator());
-  }
-
-  // todo: for own dsg subspaces -> put togheter subspace data from recvdata
-}
-
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalReduceNB(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                        DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
-  assert(dfg.getDimension() == dsg.getDim());
-  assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
-  assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
-  /* todo: check if communicators are equal in the sense that they are a set of the
-   * same processes. when dfg creates the cartcomm from lcomm, it changes the
-   * communicator (which is just an int value), so simply comparing the communicators
-   * is not possible. an easy workaroun could be to additionally store the original comm
-   * which has been used in the constructor
-   */
-
-  // copy data into subspace datastructures
-  dfg.fillSubspaces();
-
-  // get a list of all the subspaces in dfg
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
-
-  // create buffers for all subspaces, but don't init size
-  std::vector<std::vector<FG_ELEMENT> > buffers(dfgSubspacesLevels.size());
-
-  // create storage for all the requests
-  std::vector<MPI_Request> requests;
-
-  // loop over all subspaces include in dfg
-  // and gather those which are contained in the sparse grid
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
-
-    if (!dsg.isContained(gatherL)) continue;
-
-    // get buffer for this subspace
-    std::vector<FG_ELEMENT>& buf = buffers[i];
-
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(gatherL);
-
-    // destination process to store the subspace
-    RankType dst = dsg.getRank(dsgSubID);
-
-    // in request only request for this process are returned
-    dfg.gatherSubspaceNB(gatherL, dst, buf, requests);
-  }
-
-  // wait for requests
-  if (requests.size() > 0)
-    MPI_Waitall(static_cast<int>(requests.size()), &requests[0], MPI_STATUSES_IGNORE);
-
-  // each process adds the buffers it is responsible for to the corresponding
-  // subpsace in dsg
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    if (buffers[i].size() == 0) continue;
-
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
-
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(gatherL);
-
-    // this will only init the subspace if not yet initialized
-    dsg.initSubspace(dsgSubID, 0.0);
-
-    FG_ELEMENT* data = dsg.getData(dsgSubID);
-
-    // get buffer for this subspace
-    std::vector<FG_ELEMENT>& buf = buffers[i];
-
-    for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
-      data[j] = coeff * buf[j];
-    }
-  }
-}
-
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalReduceSGR(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                         DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
-  assert(dfg.getDimension() == dsg.getDim());
-  assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
-  assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
-  /* todo: check if communicators are equal in the sense that they are a set of the
-   * same processes. when dfg creates the cartcomm from lcomm, it changes the
-   * communicator (which is just an int value), so simply comparing the communicators
-   * is not possible. an easy workaroun could be to additionally store the original comm
-   * which has been used in the constructor
-   */
-
-  // get list of subspaces in dfg and sort according to rank
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
-
-  std::vector<LevelVector> commonSubspaces;
-  std::vector<int> commonSubspacesRanks;
-  std::vector<size_t> commonSubspacesSizes;
-
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& gatherL = dfgSubspacesLevels[i];
-
-    if (!dsg.isContained(gatherL)) continue;
-
-    commonSubspaces.push_back(gatherL);
-    commonSubspacesRanks.push_back(dsg.getRank(gatherL));
-    commonSubspacesSizes.push_back(dsg.getSubspaceSize(gatherL));
-  }
-
-  // create buffer for each rank
-  std::vector<std::vector<FG_ELEMENT> > buffers(dfg.getCommunicatorSize());
-
-  // for each rank
-  for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
-    std::vector<LevelVector> mySubspaces;
-    std::vector<size_t> mySizes;
-
-    size_t bsize = 0;
-
-    for (size_t i = 0; i < commonSubspaces.size(); ++i) {
-      if (commonSubspacesRanks[i] == r) {
-        mySubspaces.push_back(commonSubspaces[i]);
-        mySizes.push_back(commonSubspacesSizes[i]);
-        bsize += commonSubspacesSizes[i];
-      }
-    }
-
-    // resize buffer
-    buffers[r].resize(bsize, FG_ELEMENT(0));
-
-    // for each subspace for this rank
-    // todo: put local data into right position of buffer
-
-    // mpi reduce on buffer
-    if (dfg.getMpiRank() == r) {
-      MPI_Reduce(MPI_IN_PLACE, buffers[r].data(), bsize, dfg.getMPIDatatype(), MPI_SUM, r,
-                 dfg.getCommunicator());
-    } else {
-      MPI_Reduce(buffers[r].data(), buffers[r].data(), bsize, dfg.getMPIDatatype(), MPI_SUM, r,
-                 dfg.getCommunicator());
-    }
-
-    if (dfg.getMpiRank() != r) buffers[r].resize(0);
-  }
-}
-
-template <typename FG_ELEMENT>
-void CombiCom::distributedLocalScatter(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                       DistributedSparseGrid<FG_ELEMENT>& dsg) {
-  assert(dfg.getDimension() == dsg.getDim());
-  assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
-  assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
-  /* todo: check if communicators are equal in the sense that they are a set of the
-   * same processes. when dfg creates the cartcomm from lcomm, it changes the
-   * communicator (which is just an int value), so simply comparing the communicators
-   * is not possible. an easy workaroun could be to additionally store the original comm
-   * which has been used in the constructor
-   */
-
-  // get a list of all the subspaces in dfg
-  std::vector<LevelVector> dfgSubspacesLevels;
-  dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
-
-  // loop over all subspaces include in dfg
-  // and scatter all sparse grid subspaces contained in dfg those which are contained in the sparse
-  // grid
-  for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
-    const LevelVector& scatterL = dfgSubspacesLevels[i];
-
-    if (!dsg.isContained(scatterL)) continue;
-
-    // index of the current subspace in dsg
-    size_t dsgSubID = dsg.getIndex(scatterL);
-
-    // process that stores the subspace
-    RankType src = dsg.getRank(dsgSubID);
-
-    const std::vector<real>& buf = dsg.getDataVector(dsgSubID);
-
-    dfg.scatterSubspace(scatterL, src, buf);
-  }
-
-  // copy data back into dfg
-  dfg.writeBackSubspaces();
-
-  // clear subspace containers and release memory
-  dfg.clearSubspaces();
-}
+//   // wait for requests
+//   if (requests.size() > 0)
+//     MPI_Waitall(static_cast<int>(requests.size()), &requests[0], MPI_STATUSES_IGNORE);
+
+//   // each process adds the buffers it is responsible for to the corresponding
+//   // subpsace in dsg
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     if (buffers[i].size() == 0) continue;
+
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
+
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(gatherL);
+
+//     // this will only init the subspace if not yet initialized
+//     dsg.initSubspace(dsgSubID, 0.0);
+
+//     FG_ELEMENT* data = dsg.getData(dsgSubID);
+
+//     // get buffer for this subspace
+//     std::vector<FG_ELEMENT>& buf = buffers[i];
+
+//     for (size_t j = 0; j < dsg.getDataSize(dsgSubID); ++j) {
+//       data[j] = coeff * buf[j];
+//     }
+//   }
+// }
+
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalReduceSGR(DistributedFullGrid<FG_ELEMENT>& dfg,
+//                                          DistributedSparseGrid<FG_ELEMENT>& dsg, real coeff) {
+//   assert(dfg.getDimension() == dsg.getDim());
+//   assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
+//   assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
+//   /* todo: check if communicators are equal in the sense that they are a set of the
+//    * same processes. when dfg creates the cartcomm from lcomm, it changes the
+//    * communicator (which is just an int value), so simply comparing the communicators
+//    * is not possible. an easy workaroun could be to additionally store the original comm
+//    * which has been used in the constructor
+//    */
+
+//   // get list of subspaces in dfg and sort according to rank
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+
+//   std::vector<LevelVector> commonSubspaces;
+//   std::vector<int> commonSubspacesRanks;
+//   std::vector<size_t> commonSubspacesSizes;
+
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& gatherL = dfgSubspacesLevels[i];
+
+//     if (!dsg.isContained(gatherL)) continue;
+
+//     commonSubspaces.push_back(gatherL);
+//     commonSubspacesRanks.push_back(dsg.getRank(gatherL));
+//     commonSubspacesSizes.push_back(dsg.getSubspaceSize(gatherL));
+//   }
+
+//   // create buffer for each rank
+//   std::vector<std::vector<FG_ELEMENT> > buffers(dfg.getCommunicatorSize());
+
+//   // for each rank
+//   for (int r = 0; r < dfg.getCommunicatorSize(); ++r) {
+//     std::vector<LevelVector> mySubspaces;
+//     std::vector<size_t> mySizes;
+
+//     size_t bsize = 0;
+
+//     for (size_t i = 0; i < commonSubspaces.size(); ++i) {
+//       if (commonSubspacesRanks[i] == r) {
+//         mySubspaces.push_back(commonSubspaces[i]);
+//         mySizes.push_back(commonSubspacesSizes[i]);
+//         bsize += commonSubspacesSizes[i];
+//       }
+//     }
+
+//     // resize buffer
+//     buffers[r].resize(bsize, FG_ELEMENT(0));
+
+//     // for each subspace for this rank
+//     // todo: put local data into right position of buffer
+
+//     // mpi reduce on buffer
+//     if (dfg.getMpiRank() == r) {
+//       MPI_Reduce(MPI_IN_PLACE, buffers[r].data(), bsize, dfg.getMPIDatatype(), MPI_SUM, r,
+//                  dfg.getCommunicator());
+//     } else {
+//       MPI_Reduce(buffers[r].data(), buffers[r].data(), bsize, dfg.getMPIDatatype(), MPI_SUM, r,
+//                  dfg.getCommunicator());
+//     }
+
+//     if (dfg.getMpiRank() != r) buffers[r].resize(0);
+//   }
+// }
+
+// template <typename FG_ELEMENT>
+// void CombiCom::distributedLocalScatter(DistributedFullGrid<FG_ELEMENT>& dfg,
+//                                        DistributedSparseGrid<FG_ELEMENT>& dsg) {
+//   assert(dfg.getDimension() == dsg.getDim());
+//   assert(dfg.returnBoundaryFlags() == dsg.getBoundaryVector());
+//   assert(dfg.getCommunicatorSize() == dsg.getCommunicatorSize());
+//   /* todo: check if communicators are equal in the sense that they are a set of the
+//    * same processes. when dfg creates the cartcomm from lcomm, it changes the
+//    * communicator (which is just an int value), so simply comparing the communicators
+//    * is not possible. an easy workaroun could be to additionally store the original comm
+//    * which has been used in the constructor
+//    */
+
+//   // get a list of all the subspaces in dfg
+//   std::vector<LevelVector> dfgSubspacesLevels;
+//   dfg.getSubspacesLevelVectors(dfgSubspacesLevels);
+
+//   // loop over all subspaces include in dfg
+//   // and scatter all sparse grid subspaces contained in dfg those which are contained in the sparse
+//   // grid
+//   for (size_t i = 0; i < dfgSubspacesLevels.size(); ++i) {
+//     const LevelVector& scatterL = dfgSubspacesLevels[i];
+
+//     if (!dsg.isContained(scatterL)) continue;
+
+//     // index of the current subspace in dsg
+//     size_t dsgSubID = dsg.getIndex(scatterL);
+
+//     // process that stores the subspace
+//     RankType src = dsg.getRank(dsgSubID);
+
+//     const std::vector<real>& buf = dsg.getDataVector(dsgSubID);
+
+//     dfg.scatterSubspace(scatterL, src, buf);
+//   }
+
+//   // copy data back into dfg
+//   dfg.writeBackSubspaces();
+
+//   // clear subspace containers and release memory
+//   dfg.clearSubspaces();
+// }
 
 
 // sparse grid reduce
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.cpp b/distributedcombigrid/src/sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.cpp
index e3b4649d7..6622041e7 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.cpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.cpp
@@ -52,22 +52,28 @@ void CombiMinMaxScheme::createClassicalCombischeme() {
   for (size_t i = 0; i < levels_.size(); ++i) {
     LevelVector& l = levels_[i];
     for (LevelType p = 0; p < LevelType(effDim_); ++p) {
-      if (l >= lmin_ && sum(l) == n_ - p) combiSpaces_.push_back(l);
+      if (l >= lmin_ && sum(l) == n_ - p) {
+        combiSpaces_.push_back(l);
+        std::cout << l[0]<<std::endl;
+      }
     }
   }
   computeCombiCoeffsClassical();
 }
 
 void CombiMinMaxScheme::createAdaptiveCombischeme() {
+  std::cout << "hier"<< dim_<<std::endl;
   LevelVector lm = getLevelMinima();
   n_ = std::accumulate(lm.begin(), lm.end(), 0);
   LevelVector l(dim_);
   // TODO: Why levelSum-1 ?
   createLevelsRec(dim_, n_ - 1, dim_, l, lmax_);
-
   for (auto level : levels_) {
     int l1norm = std::accumulate(level.begin(), level.end(), 0);
-    if (level >= lmin_ && l1norm <= n_) combiSpaces_.push_back(level);
+    if (level >= lmin_ && l1norm <= n_) {
+      combiSpaces_.push_back(level);
+      
+    }
   }
 
   computeCombiCoeffsAdaptive();
@@ -92,6 +98,10 @@ void CombiMinMaxScheme::makeFaultTolerant() {
   }
 }
 
+/*
+returns a levelvector wich has the same value like lmax at the index, where the difference between
+lmin and lmax is biggest
+*/
 LevelVector CombiMinMaxScheme::getLevelMinima() {
   LevelVector tmp = lmax_ - lmin_;
   std::vector<IndexType>::iterator result = std::max_element(tmp.begin(), tmp.end());
@@ -122,10 +132,10 @@ void CombiMinMaxScheme::createLevelsRec(DimType dim, LevelType n, DimType d, Lev
 void CombiMinMaxScheme::computeCombiCoeffsAdaptive() {
   for (size_t i = 0; i < combiSpaces_.size(); i++) {
     real coeff = 0;
-    LevelVector tmp(combiSpaces_[i]);
+    LevelVector tmp(combiSpaces_[i]); 
     tmp = tmp + LevelVector(dim_, 1);
     for (auto nbr : combiSpaces_) {
-      if (nbr >= combiSpaces_[i] && nbr <= tmp) {
+      if (nbr >= combiSpaces_[i] && nbr <= tmp) { // get the levels which are just one above
         LevelVector diff = nbr - combiSpaces_[i];
         coeff += std::pow(-1.0, std::accumulate(diff.begin(), diff.end(), 0));
       }
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp
index 517ae3465..e62e3dc6c 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp
@@ -171,12 +171,10 @@ class DistributedFullGrid {
     if ( rank_ == 0 ) {
       for ( auto subsp : subspaces_ ) {
         std::cout << subsp.level_ << std::endl;
-
         for ( RankType r = 0; r < size_; ++r ) {
           // get coords of r in cart comm
           IndexVector coords( dim_ );
           this->getPartitionCoords( r, coords );
-
           std::cout << "r = " << r << " ";
           std::cout << "rcoords = " << IndexVector( coords.begin(), coords.end() )
                     << " ";
@@ -545,8 +543,6 @@ class DistributedFullGrid {
      // it has a part of the left boundary
      IndexVector coords( dim_ );
      getPartitionCoords( coords );
-
-
      if( hasBoundaryPoints_[d] && coords[d] == 0 ){
      assert( lowerBounds_[rank_][d] + 1 == 1 );
      return 1;
@@ -567,7 +563,6 @@ class DistributedFullGrid {
      // it has a part of the left boundary
      IndexVector coords( dim_ );
      getPartitionCoords( coords );
-
      if( hasBoundaryPoints_[d] && coords[d] == procs_[d] - 1 ){
      return upperBounds_[rank_][d] - 2;
      }
@@ -1292,11 +1287,6 @@ class DistributedFullGrid {
     std::vector<int> csizes(sizes.rbegin(), sizes.rend());
     std::vector<int> csubsizes(subsizes.rbegin(), subsizes.rend());
     std::vector<int> cstarts(starts.rbegin(), starts.rend());
-    if (!reverseOrderingDFGPartitions) {
-      csizes.assign(sizes.begin(), sizes.end());
-      csubsizes.assign(subsizes.begin(), subsizes.end());
-      cstarts.assign(starts.begin(), starts.end());
-    }
 
     // create subarray view on data
     MPI_Datatype mysubarray;
@@ -1373,11 +1363,6 @@ class DistributedFullGrid {
     std::vector<int> csizes(sizes.rbegin(), sizes.rend());
     std::vector<int> csubsizes(subsizes.rbegin(), subsizes.rend());
     std::vector<int> cstarts(starts.rbegin(), starts.rend());
-    // if (!reverseOrderingDFGPartitions) { // not sure why, but this produces the wrong results
-    //   csizes.assign(sizes.begin(), sizes.end());
-    //   csubsizes.assign(subsizes.begin(), subsizes.end());
-    //   cstarts.assign(starts.begin(), starts.end());
-    // }
 
     // create subarray view on data
     MPI_Datatype mysubarray;
@@ -1462,11 +1447,6 @@ class DistributedFullGrid {
         std::vector<int> subsizes(subarrayExtents.rbegin(), subarrayExtents.rend());
         // the starts are local indices
         std::vector<int> starts(subarrayStarts.rbegin(), subarrayStarts.rend());
-        // if (!reverseOrderingDFGPartitions) { // not sure why, but this produces the wrong results
-        //   sizes.assign(this->getLocalSizes().begin(), this->getLocalSizes().end());
-        //   subsizes.assign(subarrayExtents.begin(), subarrayExtents.end());
-        //   starts.assign(subarrayStarts.begin(), subarrayStarts.end());
-        // }
 
         // create subarray view on data //todo do this only once per dimension
         MPI_Datatype mysubarray;
@@ -1501,11 +1481,6 @@ class DistributedFullGrid {
         std::vector<int> subsizes(subarrayExtents.rbegin(), subarrayExtents.rend());
         // the starts are local indices
         std::vector<int> starts(subarrayStarts.rbegin(), subarrayStarts.rend());
-        // if (!reverseOrderingDFGPartitions) { // not sure why, but this produces the wrong results
-        //   sizes.assign(this->getLocalSizes().begin(), this->getLocalSizes().end());
-        //   subsizes.assign(subarrayExtents.begin(), subarrayExtents.end());
-        //   starts.assign(subarrayStarts.begin(), subarrayStarts.end());
-        // }
 
         // create subarray view on data
         MPI_Datatype mysubarray;
@@ -1909,12 +1884,10 @@ class DistributedFullGrid {
     /*
      for( size_t i=0; i<fullgridVector_.size(); ++i ){
      IndexType globalI = this->getGlobalLinearIndex( i );
-
      // get level vector of element i
      LevelVector lvec(dim_);
      IndexVector ivec(dim_);
      this->getGlobalLI( globalI, lvec, ivec );
-
      assigmentList_[i] =
      static_cast<unsigned short int>( this->getSubspaceIndex( lvec ) );
      }*/
@@ -2082,4 +2055,4 @@ int DistributedFullGrid<FG_ELEMENT>::count = 0;
 
 }  // namespace combigrid
 
-#endif /* DISTRIBUTEDCOMBIFULLGRID_HPP_ */
+#endif /* DISTRIBUTEDCOMBIFULLGRID_HPP_ */
\ No newline at end of file
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp
new file mode 100644
index 000000000..92fb48ff5
--- /dev/null
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp
@@ -0,0 +1,87 @@
+// @author Theresa Pollinger
+#ifndef DISTRIBUTEDCOMBIFULLGRIDENSEMBLE_HPP_
+#define DISTRIBUTEDCOMBIFULLGRIDENSEMBLE_HPP_
+
+#include <bitset>
+
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
+#include "sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp"
+
+// https://simsgs.informatik.uni-stuttgart.de:8444/heenemo/combi/issues/39
+
+namespace combigrid {
+
+enum class MultipleGrids {onlyOne, isHigherNeighbor, isLowerNeighbor};
+
+class GridEnumeration{
+public:
+  // encode the grid number as bits: if bit is set at position d, it means it is the
+  // "second" point at this position in dimension d.
+
+  static bool isHigherInDimension(char dimension, unsigned long testnumber){
+      std::bitset<sizeof(unsigned long) * 8> b(testnumber);
+      return b.test(dimension);
+  }
+
+  static unsigned long getLowerNeighborInDimension(char dimension, unsigned long testnumber){
+      assert(isHigherInDimension(dimension, testnumber));
+      std::bitset<sizeof(unsigned long) * 8> b(testnumber);
+      b.set(dimension, false);
+      return b.to_ulong();
+  }
+
+  static unsigned long getUpperNeighborInDimension(char dimension, unsigned long testnumber){
+      assert(!isHigherInDimension(dimension, testnumber));
+      std::bitset<sizeof(unsigned long) * 8> b(testnumber);
+      b.set(dimension, true);
+      return b.to_ulong();
+  }
+
+  static size_t getNumberOfHigherDimensions(unsigned long testnumber){
+      std::bitset<sizeof(unsigned long) * 8> b(testnumber);
+      return b.count();
+  }
+};
+
+
+class DFGEnsemble{
+public:
+  using DFG = DistributedFullGrid<CombiDataType>;
+  using DFGPointer = std::unique_ptr<DFG>;
+
+  template<class... U>
+  DFGEnsemble(DimType dimensions, U&&... restDFGArgs){
+    size_t numGridsInEnsemble = powerOfTwo[dimensions];
+
+    ensemble_ = std::vector<DFGPointer>();
+    ensemble_.reserve(numGridsInEnsemble);
+    for (size_t i=0; i < numGridsInEnsemble; ++i){
+      ensemble_.push_back(DFGPointer(new DFG(dimensions, std::forward<U>(restDFGArgs)...)));
+    }
+  }
+
+  inline DFG& getDFG(size_t number) { return *(ensemble_[number]); }
+
+  inline const DFG& getDFG(size_t number) const { return *(ensemble_[number]); }
+
+  size_t getNumFullGrids() const { return ensemble_.size(); }
+
+  std::vector<size_t> getIndicesOfLowerGridsInDimension(DimType dimension){
+    std::vector<size_t> lowerGrids;
+    for (size_t i = 0; i < this->getNumFullGrids(); ++i) {
+      if (!GridEnumeration::isHigherInDimension(static_cast<char>(dimension), i)) {
+        lowerGrids.push_back(i);
+      }
+    }
+    assert(lowerGrids.size() == this->getNumFullGrids()/2);
+    return lowerGrids;
+  }
+
+private:
+  std::vector<DFGPointer> ensemble_;
+}; // class DFGEnsemble
+
+} // namespace combigrid
+
+
+#endif /* DISTRIBUTEDCOMBIFULLGRIDENSEMBLE_HPP_ */
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/hierarchization/DistributedHierarchization.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/hierarchization/DistributedHierarchization.hpp
index 7916aad86..911e8a196 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/hierarchization/DistributedHierarchization.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/hierarchization/DistributedHierarchization.hpp
@@ -5,6 +5,7 @@
 
 #include "boost/lexical_cast.hpp"
 #include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp"
 #include "sgpp/distributedcombigrid/legacy/combigrid_utils.hpp"
 #include "sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp"
 #include "sgpp/distributedcombigrid/utils/Stats.hpp"
@@ -20,6 +21,8 @@ using namespace combigrid;
  */
 namespace {
 
+static int hierCount = 0;
+
 /* The RemoteDataContainer is meant to store a (d-1)-dimensional block of a
  * d-dimensional DistributedFullGrid. The RemoteDataContainer is d-dimensional,
  * but has exactly one point in (at least) one dimension.
@@ -178,7 +181,7 @@ class RemoteDataContainer {
  * via a common interface for the data access
  */
 template <typename FG_ELEMENT>
-class LookupTable {
+class LookupTable {//! thread safe?
  public:
   /** Constructor
    *
@@ -270,10 +273,6 @@ template <typename FG_ELEMENT>
 static IndexType getFirstIndexOfLevel1d(DistributedFullGrid<FG_ELEMENT>& dfg, DimType d,
                                         LevelType l);
 
-template <typename FG_ELEMENT>
-static void hierarchizeX(DistributedFullGrid<FG_ELEMENT>& dfg,
-                         LookupTable<FG_ELEMENT>& lookupTable);
-
 template <typename FG_ELEMENT>
 static void hierarchizeX_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                                       LookupTable<FG_ELEMENT>& lookupTable);
@@ -294,21 +293,30 @@ template <typename FG_ELEMENT>
 inline void dehierarchizeX_opt_boundary_kernel(FG_ELEMENT* data, LevelType lmax, int start,
                                                int stride);
 
+// Ensemble variants
 template <typename FG_ELEMENT>
-inline void hierarchizeX_inner_boundary_kernel(FG_ELEMENT* data, LevelType lmax, IndexType start,
-                                               IndexType idxMax, LevelType level_idxmax);
+static void hierarchizeX_opt_boundary_dg(DFGEnsemble& dfg,
+                                      std::vector<LookupTable<FG_ELEMENT>>& lookupTables);
 
 template <typename FG_ELEMENT>
-void hierarchizeN_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                             LookupTable<FG_ELEMENT>& lookupTable, DimType dim);
+static void dehierarchizeX_opt_boundary_dg(DFGEnsemble& dfg,
+                                        std::vector<LookupTable<FG_ELEMENT>>& lookupTables);
 
 template <typename FG_ELEMENT>
-void hierarchizeN_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                           LookupTable<FG_ELEMENT>& lookupTable, DimType dim);
+static void hierarchizeX_opt_noboundary_dg(DFGEnsemble& dfg,
+                                        std::vector<LookupTable<FG_ELEMENT>>& lookupTables);
 
 template <typename FG_ELEMENT>
-void dehierarchizeN_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                 LookupTable<FG_ELEMENT>& lookupTable, DimType dim);
+inline void hierarchizeX_opt_boundary_kernel_dg(FG_ELEMENT* dataLeft, FG_ELEMENT* dataRight, LevelType lmax, int start,
+                                             int stride);
+
+template <typename FG_ELEMENT>
+inline void dehierarchizeX_opt_boundary_kernel_dg(FG_ELEMENT* dataLeft, FG_ELEMENT* dataRight, LevelType lmax, int start,
+                                               int stride);
+
+// template <typename FG_ELEMENT>
+// inline void hierarchizeX_inner_boundary_kernel(FG_ELEMENT* data, LevelType lmax, IndexType start,
+//                                                IndexType idxMax, LevelType level_idxmax);
 
 // exchange data in dimension dim
 template <typename FG_ELEMENT>
@@ -1203,396 +1211,318 @@ static IndexType getFirstIndexOfLevel1d(DistributedFullGrid<FG_ELEMENT>& dfg, Di
   return idxMax + 1;
 }
 
-template <typename FG_ELEMENT>
-static void hierarchizeX(DistributedFullGrid<FG_ELEMENT>& dfg,
-                         LookupTable<FG_ELEMENT>& lookupTable) {
-  const DimType dim = 0;
-
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
-  IndexType ndim = dfg.getLocalSizes()[dim];
-
-  FG_ELEMENT zeroVal(0);
-
-  // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
-
-  for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
-    // get globalIndexVector of block start
-    // this is the base IndexVector of this block
-    // only dim component is varied
-    IndexType linIdxBlockStart = xBlock * ndim;
-
-    IndexVector localIndexVector(dfg.getDimension());
-    IndexVector baseGlobalIndexVector(dfg.getDimension());
-    dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
-
-    IndexVector globalIndexVectorCenter = baseGlobalIndexVector;
-    IndexVector globalIndexVectorLeft = baseGlobalIndexVector;
-    IndexVector globalIndexVectorRight = baseGlobalIndexVector;
-
-    for (LevelType l = lmax; l > 0; --l) {
-      // get first local point of level and corresponding stride
-      IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
-      IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-      IndexType levelStride = parentOffset * 2;
-
-      // loop over points of this level with level specific stride
-      // as long as inside domain
-      for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
-        // compute global index vector of center, left and right predecessor
-        globalIndexVectorCenter[dim] = idx;
-        globalIndexVectorLeft[dim] = idx - parentOffset;
-        globalIndexVectorRight[dim] = idx + parentOffset;
-
-        // translate global indices vector to pointers
-        if (dfg.returnBoundaryFlags()[dim] == true) {
-          FG_ELEMENT* center = lookupTable.getData(globalIndexVectorCenter);
-          FG_ELEMENT* left = lookupTable.getData(globalIndexVectorLeft);
-          FG_ELEMENT* right = lookupTable.getData(globalIndexVectorRight);
-
-          // do calculation
-          *center -= 0.5 * (*left + *right);
-        } else {
-          FG_ELEMENT* center = lookupTable.getData(globalIndexVectorCenter);
-
-          // when no boundary in this dimension we have to check if
-          // 1d indices outside domain
-          FG_ELEMENT* left = &zeroVal;
-          FG_ELEMENT* right = &zeroVal;
-
-          if (globalIndexVectorLeft[dim] > 0) {
-            left = lookupTable.getData(globalIndexVectorLeft);
-          }
-
-          if (globalIndexVectorRight[dim] < dfg.getGlobalSizes()[dim]) {
-            right = lookupTable.getData(globalIndexVectorRight);
-          }
-
-          // do calculation
-          *center -= 0.5 * (*left + *right);
-        }
-      }
-    }
-  }
-}
-
+/**
+ * Used
+ */
 template <typename FG_ELEMENT>
 static void hierarchizeX_opt_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                                         LookupTable<FG_ELEMENT>& lookupTable) {
   const DimType dim = 0;
   assert(dfg.returnBoundaryFlags()[dim] == false);
 
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
-  IndexType ndim = dfg.getLocalSizes()[dim];
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
+  const IndexType ndim = dfg.getLocalSizes()[dim];
 
   // size of xBlcok
-  IndexType xSize = dfg.getLocalSizes()[0];
+  const IndexType xSize = dfg.getLocalSizes()[0];
 
   // FG_ELEMENT zeroVal(0);
 
-  // create tmp array to store xblock
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& localData = dfg.getElementVector();
 
   // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
-
-  for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
-    // get globalIndexVector of block start
-    // this is the base IndexVector of this block
-    // only dim component is varied
-    IndexType linIdxBlockStart = xBlock * ndim;
+  const IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
 
+  #pragma omp parallel 
+  {
     IndexVector localIndexVector(dfg.getDimension());
     IndexVector baseGlobalIndexVector(dfg.getDimension());
-    dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+    // create tmp array to store xblock
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
+
+      dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
+      assert(localIndexVector[dim] == 0);
+
+      // copy local data to tmp
+      for (IndexType i = 0; i < xSize; ++i)
+        tmp[baseGlobalIndexVector[dim] + i] = localData[linIdxBlockStart + i];
+
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+      IndexVector tmpGlobalIndexVector = baseGlobalIndexVector;
+
+      if (rdcs.size() > 0) {
+        // go through remote containers
+        for (size_t i = 0; i < rdcs.size(); ++i) {
+          IndexType global1didx = rdcs[i].getKeyIndex();
+          tmpGlobalIndexVector[dim] = global1didx;
+          tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+        }
+      }
 
-    // copy local data to tmp
-    for (IndexType i = 0; i < xSize; ++i)
-      tmp[baseGlobalIndexVector[dim] + i] = localData[linIdxBlockStart + i];
+      for (LevelType l = lmax; l > 0; --l) {
+        // get first local point of level and corresponding stride
+        IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
+        IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
+        IndexType levelStride = parentOffset * 2;
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
-    IndexVector tmpGlobalIndexVector = baseGlobalIndexVector;
+        // loop over points of this level with level specific stride
+        // as long as inside domain
+        for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
+          // when no boundary in this dimension we have to check if
+          // 1d indices outside domain
+          FG_ELEMENT left(0.0);
+          FG_ELEMENT right(0.0);
 
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
-      }
-    }
+          if (idx - parentOffset > 0) {
+            left = tmp[idx - parentOffset];
+          }
 
-    for (LevelType l = lmax; l > 0; --l) {
-      // get first local point of level and corresponding stride
-      IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
-      IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-      IndexType levelStride = parentOffset * 2;
-
-      // loop over points of this level with level specific stride
-      // as long as inside domain
-      for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
-        // when no boundary in this dimension we have to check if
-        // 1d indices outside domain
-        FG_ELEMENT left(0.0);
-        FG_ELEMENT right(0.0);
-
-        if (idx - parentOffset > 0) {
-          left = tmp[idx - parentOffset];
-        }
+          if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
+            right = tmp[idx + parentOffset];
+          }
 
-        if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
-          right = tmp[idx + parentOffset];
+          // do calculation
+          FG_ELEMENT buf = -0.5 * left;
+          tmp[idx] -= 0.5 * right;
+          tmp[idx] += buf;
         }
-
-        // do calculation
-        FG_ELEMENT buf = -0.5 * left;
-        tmp[idx] -= 0.5 * right;
-        tmp[idx] += buf;
       }
-    }
 
-    // copy local data back
-    for (IndexType i = 0; i < xSize; ++i)
-      localData[linIdxBlockStart + i] = tmp[baseGlobalIndexVector[dim] + i];
+      // copy local data back
+      for (IndexType i = 0; i < xSize; ++i)
+        localData[linIdxBlockStart + i] = tmp[baseGlobalIndexVector[dim] + i];
+    }
   }
 }
 
+/**
+ * Used
+ */
 template <typename FG_ELEMENT>
 static void dehierarchizeX_opt_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                                           LookupTable<FG_ELEMENT>& lookupTable) {
   const DimType dim = 0;
   assert(dfg.returnBoundaryFlags()[dim] == false);
 
-  LevelType lmax = dfg.getLevels()[dim];
-  // IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
-  IndexType ndim = dfg.getLocalSizes()[dim];
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType ndim = dfg.getLocalSizes()[dim];
 
   // size of xBlcok
-  IndexType xSize = dfg.getLocalSizes()[0];
-
-  // FG_ELEMENT zeroVal(0);
+  const IndexType xSize = dfg.getLocalSizes()[0];
 
-  // create tmp array to store xblock
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& localData = dfg.getElementVector();
 
   // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
-
-  for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
-    // get globalIndexVector of block start
-    // this is the base IndexVector of this block
-    // only dim component is varied
-    IndexType linIdxBlockStart = xBlock * ndim;
+  const IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
 
+  #pragma omp parallel 
+  {
     IndexVector localIndexVector(dfg.getDimension());
     IndexVector baseGlobalIndexVector(dfg.getDimension());
-    dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
-
-    // copy local data to tmp
-    for (IndexType i = 0; i < xSize; ++i)
-      tmp[baseGlobalIndexVector[dim] + i] = localData[linIdxBlockStart + i];
-
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
-    IndexVector tmpGlobalIndexVector = baseGlobalIndexVector;
-
-    if (rdcs.size() > 0) {
-      // go through remote containers
+    // IndexVector tmpGlobalIndexVector(dfg.getDimension());// replaced by lastindex
+    IndexType copyBackOffset;
+    // create tmp array to store xblock
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
+
+      dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
+      assert(localIndexVector[dim] == 0);
+
+      // copy local data to tmp
+      for (IndexType i = 0; i < xSize; ++i)
+        tmp[baseGlobalIndexVector[dim] + i] = localData[linIdxBlockStart + i];
+
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+      copyBackOffset = baseGlobalIndexVector[dim];
+
+        // go through remote containers
       for (size_t i = 0; i < rdcs.size(); ++i) {
         IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+        baseGlobalIndexVector[dim] = global1didx;
+        tmp[global1didx] = *rdcs[i].getData(baseGlobalIndexVector);
       }
-    }
 
-    for (LevelType l = 2; l <= lmax; ++l) {
-      // get first local point of level and corresponding stride
-      IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-      IndexType first = parentOffset - 1;
-      IndexType levelStride = parentOffset * 2;
-
-      // loop over points of this level with level specific stride
-      // as long as inside domain
-      for (IndexType idx = first; idx < dfg.getGlobalSizes()[dim]; idx += levelStride) {
-        // when no boundary in this dimension we have to check if
-        // 1d indices outside domain
-        FG_ELEMENT left(0.0);
-        FG_ELEMENT right(0.0);
-
-        if (idx - parentOffset > 0) {
-          left = tmp[idx - parentOffset];
-        }
+      for (LevelType l = 2; l <= lmax; ++l) {
+        // get first local point of level and corresponding stride
+        IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
+        IndexType first = parentOffset - 1;
+        IndexType levelStride = parentOffset * 2;
 
-        if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
-          right = tmp[idx + parentOffset];
-        }
+        // loop over points of this level with level specific stride
+        // as long as inside domain
+        for (IndexType idx = first; idx < dfg.getGlobalSizes()[dim]; idx += levelStride) {
+          // when no boundary in this dimension we have to check if
+          // 1d indices outside domain
+          FG_ELEMENT left(0.0);
+          FG_ELEMENT right(0.0);
 
-        // do calculation
-        FG_ELEMENT buf = 0.5 * left;
-        tmp[idx] += 0.5 * right;
-        tmp[idx] += buf;
-      }
-    }
+          if (idx - parentOffset > 0) {
+            left = tmp[idx - parentOffset];
+          }
 
-    // copy local data back
-    for (IndexType i = 0; i < xSize; ++i)
-      localData[linIdxBlockStart + i] = tmp[baseGlobalIndexVector[dim] + i];
-  }
+          if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
+            right = tmp[idx + parentOffset];
+          }
+
+          // do calculation
+          FG_ELEMENT buf = 0.5 * left;
+          tmp[idx] += 0.5 * right;
+          tmp[idx] += buf;
+        }
+      }
+      // copy local data back
+      for (IndexType i = 0; i < xSize; ++i)
+        localData[linIdxBlockStart + i] = tmp[copyBackOffset + i];
+    }//#end omp for
+  }//#end omp parallel
 }
 
+/**
+ * Used
+ */
 template <typename FG_ELEMENT>
 static void hierarchizeX_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                                       LookupTable<FG_ELEMENT>& lookupTable) {
   const DimType dim = 0;
   assert(dfg.returnBoundaryFlags()[dim] == true);
 
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType ndim = dfg.getLocalSizes()[dim];
 
   // size of xBlcok
-  IndexType xSize = ndim;
+  const IndexType xSize = ndim;
 
-  // create tmp array to store xblock
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& localData = dfg.getElementVector();
 
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
-
-  IndexType gstart = dfg.getLowerBounds()[dim];
-
-  // first global index for hierarchization kernel
-  // first nonboundary point
-  IndexType idxstart = gstart;
-
-  if (gstart == 0) idxstart += 1;
+  const IndexType gstart = dfg.getLowerBounds()[dim];
 
   // last global index inside subdomain.
   // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
 
   // level of gend
   // LevelType level_idxend = dfg.getLevel(dim, idxend);
-  IndexType linIdxBlockStart;
 
   // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
-
-  for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
-    // get globalIndexVector of block start
-    // this is the base IndexVector of this block
-    // only dim component is varied
-    linIdxBlockStart = xBlock * ndim;
-
-    dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
-
-    // copy local data to tmp
-    for (IndexType i = 0; i < xSize; ++i) tmp[gstart + i] = localData[linIdxBlockStart + i];
-
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
-
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+  const IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
+  #pragma omp parallel 
+  {
+    IndexVector localIndexVector(dfg.getDimension());
+    IndexVector tmpGlobalIndexVector(dfg.getDimension());
+
+    // create tmp array to store xblock
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
+
+      dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+      assert(localIndexVector[dim] == 0);
+
+      // copy local data to tmp
+      for (IndexType i = 0; i < xSize; ++i) tmp[gstart + i] = localData[linIdxBlockStart + i];
+
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+
+      if (rdcs.size() > 0) {
+        // go through remote containers
+        for (size_t i = 0; i < rdcs.size(); ++i) {
+          IndexType global1didx = rdcs[i].getKeyIndex();
+          tmpGlobalIndexVector[dim] = global1didx;
+          tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+        }
       }
-    }
 
-    // hierarchizeX_inner_boundary_kernel(&tmp[0], lmax, idxstart, idxend,
-    //                                   level_idxend);
-    hierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
+      // hierarchizeX_inner_boundary_kernel(&tmp[0], lmax, idxstart, idxend,
+      //                                   level_idxend);
+      hierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
 
-    // copy local data back
-    for (IndexType i = 0; i < xSize; ++i) localData[linIdxBlockStart + i] = tmp[gstart + i];
+      // copy local data back
+      for (IndexType i = 0; i < xSize; ++i) localData[linIdxBlockStart + i] = tmp[gstart + i];
+    }
   }
 }
 
+/**
+ * Used
+ */
 template <typename FG_ELEMENT>
 static void dehierarchizeX_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                                         LookupTable<FG_ELEMENT>& lookupTable) {
   const DimType dim = 0;
   assert(dfg.returnBoundaryFlags()[dim] == true);
 
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType ndim = dfg.getLocalSizes()[dim];
 
   // size of xBlcok
-  IndexType xSize = ndim;
+  const IndexType xSize = ndim;
 
-  // create tmp array to store xblock
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& localData = dfg.getElementVector();
 
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
-
-  IndexType gstart = dfg.getLowerBounds()[dim];
-
-  // first global index for hierarchization kernel
-  // first nonboundary point
-  IndexType idxstart = gstart;
-
-  if (gstart == 0) idxstart += 1;
-
-  // last global index inside subdomain.
-  // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
-
-  // level of gend
-  // LevelType level_idxend = dfg.getLevel(dim, idxend);
-  IndexType linIdxBlockStart;
+  const IndexType gstart = dfg.getLowerBounds()[dim];
 
   // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
+  const IndexType nbrxBlocks = dfg.getNrLocalElements() / ndim;
+  #pragma omp parallel
+  {
+    IndexVector localIndexVector(dfg.getDimension());
+    IndexVector tmpGlobalIndexVector(dfg.getDimension());
 
-  for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
-    // get globalIndexVector of block start
-    // this is the base IndexVector of this block
-    // only dim component is varied
-    linIdxBlockStart = xBlock * ndim;
+    // create tmp array to store xblock
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
 
-    dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+      dfg.getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+      assert(localIndexVector[dim] == 0);
 
-    // copy local data to tmp
-    for (IndexType i = 0; i < xSize; ++i) tmp[gstart + i] = localData[linIdxBlockStart + i];
+      // copy local data to tmp
+      for (IndexType i = 0; i < xSize; ++i) tmp[gstart + i] = localData[linIdxBlockStart + i];
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
 
-    if (rdcs.size() > 0) {
       // go through remote containers
       for (size_t i = 0; i < rdcs.size(); ++i) {
         IndexType global1didx = rdcs[i].getKeyIndex();
         tmpGlobalIndexVector[dim] = global1didx;
         tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
       }
-    }
-
-    // hierarchizeX_inner_boundary_kernel( &tmp[0], lmax,
-    //            idxstart, idxend,level_idxend );
-    dehierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
-
-    // copy local data back
-    for (IndexType i = 0; i < xSize; ++i) localData[linIdxBlockStart + i] = tmp[gstart + i];
-  }
+      
+      // hierarchizeX_inner_boundary_kernel( &tmp[0], lmax,
+      //            idxstart, idxend,level_idxend );
+      dehierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
+
+      // copy local data back
+      for (IndexType i = 0; i < xSize; ++i) localData[linIdxBlockStart + i] = tmp[gstart + i];
+    }//#end omp for
+  }//#end omp parallel
 }
 
 template <typename FG_ELEMENT>
@@ -1604,9 +1534,7 @@ inline void hierarchizeX_opt_boundary_kernel(FG_ELEMENT* data, LevelType lmax, i
   int stepsize;
   int parOffsetStrided;
 
-  FG_ELEMENT* val = data;
-
-  // ssa variables
+  // ssa variables: helper variables 1 to 3 and values at right and left parents, respectively
   FG_ELEMENT val1 = -100, val2 = -100, val3 = -100, parL = -100, parR = -100;
 
   int lmaxi = static_cast<int>(lmax);
@@ -1616,19 +1544,22 @@ inline void hierarchizeX_opt_boundary_kernel(FG_ELEMENT* data, LevelType lmax, i
   stepsize = 2;
   parentOffset = 1;
 
+  FG_ELEMENT* val = data;
+
   for (ll--; ll > -1;
        ll--) {  // hier is index um 1 geschiftet da vorher level 2 manuell behandelt wurde
     parOffsetStrided = parentOffset * stride;
     parL = 0.5 * val[start + offset * stride - parOffsetStrided];
-    ;
 
-    for (ctr = 0; ctr < steps; ctr++) {
-      val1 = val[start + offset * stride];
+    for (ctr = 0; ctr < steps; ++ctr) {
       parR = 0.5 * val[start + offset * stride + parOffsetStrided];
+
+      val1 = val[start + offset * stride];
       val2 = val1 - parL;
       val3 = val2 - parR;
       val[start + offset * stride] = val3;
-      parL = parR;
+
+      parL = parR;  // can reuse the data if we only have one grid
       offset += stepsize;
     }
 
@@ -1637,7 +1568,6 @@ inline void hierarchizeX_opt_boundary_kernel(FG_ELEMENT* data, LevelType lmax, i
     parentOffset = stepsize;
     stepsize = stepsize << 1;
   }
-
   return;
 }
 
@@ -1692,75 +1622,79 @@ inline void dehierarchizeX_opt_boundary_kernel(FG_ELEMENT* data, LevelType lmax,
   return;
 }
 
-/*
- * this algorithm can only work if the domain decompostion is powers of two
- *
- * data: has to point to the start of the temporary array which has the global
- * size of the current dimension
- *
- * start: has to be set to the first inner point of the domain, i.e. the first
- * point of the highest level. for subdomains that have no left boundary this
- * should be the first point otherwise there is something wrong
- *
- * at the moment the algorithm can only work if the dimension has boundary points,
- * otherwise for the last rank (i.e. the righmost subdomain in a 1d representation)
- * idxmax is not on the lowest level.
- * idxmax has to be the last point inner in the subdomain and it should have the
- * lowest level (besides a the boundary point) of the subdomain,
- * otherwise something is wrong
- *
- *
- */
-
-template <typename FG_ELEMENT>
-inline void hierarchizeX_inner_boundary_kernel(FG_ELEMENT* data, LevelType lmax, IndexType start,
-                                               IndexType idxMax, LevelType level_idxmax) {
-  FG_ELEMENT* val = data;
-
-  // ssa variables
-  FG_ELEMENT val1 = -100, val2 = -100, val3 = -100, parL = -100, parR = -100;
-
-  IndexType lmaxi = static_cast<IndexType>(lmax);
-  IndexType ll = lmaxi;
-
-  IndexType stepsize = 2;
-  IndexType parentOffset = 1;
-  IndexType offset = 0;
-
-  for (ll--; ll > -1;
-       ll--) {  // hier is index um 1 geschiftet da vorher level 2 manuell behandelt wurde
-    IndexType idx = start + offset;
-    parL = 0.5 * val[idx - parentOffset];
-
-    while (idx < idxMax) {
-      val1 = val[idx];
-      parR = 0.5 * val[idx + parentOffset];
-      val2 = val1 - parL;
-      val3 = val2 - parR;
-      val[idx] = val3;
-      parL = parR;
-      idx += stepsize;
-    }
-
-    offset = (1 << (lmaxi - ll)) - 1;  // no boundary case
-    parentOffset = stepsize;
-    stepsize = stepsize << 1;
-  }
-
-  // special treatment for idxmax because due to the domain decomposition
-  // it can occur that there are levels missing. the above algorithm
-  // cannot cope with missing levels, however.
-  if (level_idxmax > 0) {
-    parentOffset = (1 << (lmaxi - static_cast<IndexType>(level_idxmax)));
-    parL = 0.5 * val[idxMax - parentOffset];
-    val[idxMax] -= 0.5 * val[idxMax + parentOffset];
-    val[idxMax] -= parL;
-  }
-
-  return;
-}
+// /*
+//  * this algorithm can only work if the domain decompostion is powers of two
+//  *
+//  * data: has to point to the start of the temporary array which has the global
+//  * size of the current dimension
+//  *
+//  * start: has to be set to the first inner point of the domain, i.e. the first
+//  * point of the highest level. for subdomains that have no left boundary this
+//  * should be the first point otherwise there is something wrong
+//  *
+//  * at the moment the algorithm can only work if the dimension has boundary points,
+//  * otherwise for the last rank (i.e. the righmost subdomain in a 1d representation)
+//  * idxmax is not on the lowest level.
+//  * idxmax has to be the last point inner in the subdomain and it should have the
+//  * lowest level (besides a the boundary point) of the subdomain,
+//  * otherwise something is wrong
+//  *
+//  *
+//  */
+
+// template <typename FG_ELEMENT>
+// inline void hierarchizeX_inner_boundary_kernel(FG_ELEMENT* data, LevelType lmax, IndexType start,
+//                                                IndexType idxMax, LevelType level_idxmax) {
+//   FG_ELEMENT* val = data;
+
+//   // ssa variables
+//   FG_ELEMENT val1 = -100, val2 = -100, val3 = -100, parL = -100, parR = -100;
+
+//   IndexType lmaxi = static_cast<IndexType>(lmax);
+//   IndexType ll = lmaxi;
+
+//   IndexType stepsize = 2;
+//   IndexType parentOffset = 1;
+//   IndexType offset = 0;
+
+//   for (ll--; ll > -1;
+//        ll--) {  // hier is index um 1 geschiftet da vorher level 2 manuell behandelt wurde
+//     IndexType idx = start + offset;
+//     parL = 0.5 * val[idx - parentOffset];
+
+//     while (idx < idxMax) {
+//       val1 = val[idx];
+//       parR = 0.5 * val[idx + parentOffset];
+//       val2 = val1 - parL;
+//       val3 = val2 - parR;
+//       val[idx] = val3;
+//       parL = parR;
+//       idx += stepsize;
+//     }
+
+//     offset = (1 << (lmaxi - ll)) - 1;  // no boundary case
+//     parentOffset = stepsize;
+//     stepsize = stepsize << 1;
+//   }
+
+//   // special treatment for idxmax because due to the domain decomposition
+//   // it can occur that there are levels missing. the above algorithm
+//   // cannot cope with missing levels, however.
+//   if (level_idxmax > 0) {
+//     parentOffset = (1 << (lmaxi - static_cast<IndexType>(level_idxmax)));
+//     parL = 0.5 * val[idxMax - parentOffset];
+//     val[idxMax] -= 0.5 * val[idxMax + parentOffset];
+//     val[idxMax] -= parL;
+//   }
+
+//   return;
+// }
 
-// function hierarchizeN
+/**
+ *   function hierarchizeN
+ *  Unused
+ *  deprecated??
+ * 
 template <typename FG_ELEMENT>
 void hierarchizeN_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
                            LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
@@ -1827,522 +1761,607 @@ void hierarchizeN_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
       }
     }
   }
-}
-
-template <typename FG_ELEMENT>
-void hierarchizeN_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                               LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == true);
-
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType size = dfg.getNrLocalElements();
-  IndexType stride = dfg.getLocalOffsets()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
-  IndexType jump = stride * ndim;
-  IndexType nbrOfPoles = size / ndim;
+}*/
 
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
+/**
+ * Used 
+ */
+template <typename FG_ELEMENT, bool boundary>
+void hierarchizeN_opt(DistributedFullGrid<FG_ELEMENT>& dfg, LookupTable<FG_ELEMENT>& lookupTable,
+                      const DimType dim) {
+  assert(dfg.returnBoundaryFlags()[dim] == boundary);
+
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType size = dfg.getNrLocalElements();
+  const IndexType stride = dfg.getLocalOffsets()[dim];
+  const IndexType ndim = dfg.getLocalSizes()[dim];
+  const IndexType jump = stride * ndim;
+  const IndexType nbrOfPoles = size / ndim;
 
-  // loop over poles
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& ldata = dfg.getElementVector();
-  lldiv_t divresult;
-  IndexType start;
-  IndexType gstart = dfg.getLowerBounds()[dim];
-
-  // first global index for hierarchization kernel. may not be a boundary point
-  IndexType idxstart = gstart;
 
-  if (gstart == 0) idxstart += 1;
+  const IndexType gstart = dfg.getLowerBounds()[dim];
 
-  // last global index inside subdomain and corresponding level
-  // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
-  // LevelType level_idxend = dfg.getLevel(dim, idxend);
+  #pragma omp parallel 
+  {
+    IndexVector localIndexVector(dfg.getDimension());
+    IndexVector tmpGlobalIndexVector(dfg.getDimension());
 
-  for (IndexType nn = 0; nn < nbrOfPoles;
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+    // loop over poles
+    #pragma omp for
+    for (IndexType nn = 0; nn < nbrOfPoles;
        ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
-    divresult = std::lldiv(nn, stride);
-    start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
-
-    // compute global vector index of start
-    dfg.getLocalVectorIndex(start, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+      lldiv_t divresult = std::lldiv(nn, stride);
+      IndexType start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+
+      // compute global vector index of start
+      dfg.getLocalVectorIndex(start, localIndexVector);
+      dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+      assert(localIndexVector[dim] == 0);
+
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+
+      if (rdcs.size() > 0) {
+        // go through remote containers
+        for (size_t i = 0; i < rdcs.size(); ++i) {
+          IndexType global1didx = rdcs[i].getKeyIndex();
+          tmpGlobalIndexVector[dim] = global1didx;
+          tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+        }
+      }
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+      // copy local data
+      for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];
 
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
-      }
-    }
+      if (boundary) {
+        // hierarchize tmp array with hupp function
+        hierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
+      } else {
+        // hierarchization kernel
+        IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
+
+        for (LevelType l = lmax; l > 0; --l) {
+          // get first local point of level and corresponding stride
+          IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
+          IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
+          IndexType levelStride = parentOffset * 2;
+
+          // loop over points of this level with level specific stride
+          // as long as inside domain
+          for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
+            // when no boundary in this dimension we have to check if
+            // 1d indices outside domain
+            FG_ELEMENT left(0.0);
+            FG_ELEMENT right(0.0);
+
+            if (idx - parentOffset > 0) {
+              left = tmp[idx - parentOffset];
+            }
 
-    // copy local data
-    for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];
+            if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
+              right = tmp[idx + parentOffset];
+            }
 
-    // hierarchize tmp array with hupp function
-    hierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
-    // hierarchizeX_inner_boundary_kernel(&tmp[0], lmax, idxstart, idxend,
-    // level_idxend);
+            // do calculation
+            FG_ELEMENT buf = -0.5 * left;
+            tmp[idx] -= 0.5 * right;
+            tmp[idx] += buf;
+          }
+        }
+      }
 
-    // copy pole back
-    for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
+      // copy pole back
+      for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
+    }
   }
 }
 
-template <typename FG_ELEMENT>
-void hierarchizeN_opt_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                 LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == false);
-
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType size = dfg.getNrLocalElements();
-  IndexType stride = dfg.getLocalOffsets()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
-  IndexType jump = stride * ndim;
-  IndexType nbrOfPoles = size / ndim;
-
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
+/**
+ * Used
+ */
+template <typename FG_ELEMENT, bool boundary>
+void dehierarchizeN_opt(DistributedFullGrid<FG_ELEMENT>& dfg, LookupTable<FG_ELEMENT>& lookupTable,
+                        const DimType dim) {
+  assert(dfg.returnBoundaryFlags()[dim] == boundary);
+
+  const LevelType lmax = dfg.getLevels()[dim];
+  const IndexType size = dfg.getNrLocalElements();
+  const IndexType stride = dfg.getLocalOffsets()[dim];
+  const IndexType ndim = dfg.getLocalSizes()[dim];
+  const IndexType jump = stride * ndim;
+  const IndexType nbrOfPoles = size / ndim;
 
   // loop over poles
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
   std::vector<FG_ELEMENT>& ldata = dfg.getElementVector();
-  lldiv_t divresult;
-  IndexType start;
-  IndexType gstart = dfg.getLowerBounds()[dim];
-
-  // first global index for hierarchization kernel. may not be a boundary point
-  IndexType idxstart = gstart;
+  const IndexType gstart = dfg.getLowerBounds()[dim];
 
-  if (gstart == 0) idxstart += 1;
-
-  // last global index inside subdomain and corresponding level
-  // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
-  // LevelType level_idxend = dfg.getLevel(dim, idxend);
+  #pragma omp parallel
+  {
+    IndexVector localIndexVector(dfg.getDimension());
+    IndexVector tmpGlobalIndexVector(dfg.getDimension());
+
+    std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
+
+#pragma omp for  // default(none)// firstprivate(lo)
+    for (IndexType nn = 0; nn < nbrOfPoles;
+        ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
+      lldiv_t divresult = std::lldiv(nn, stride);
+      IndexType start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+
+      // compute global vector index of start
+      dfg.getLocalVectorIndex(start, localIndexVector);                  //*
+      dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);  //*
+      assert(localIndexVector[dim] == 0);
+
+      // copy remote data to tmp
+      std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs =
+          lookupTable.getRDCVector();  //! rdcs why here
+
+      if (rdcs.size() > 0) {
+        // go through remote containers
+        for (size_t i = 0; i < rdcs.size(); ++i) {
+          IndexType global1didx = rdcs[i].getKeyIndex();
+          tmpGlobalIndexVector[dim] = global1didx;
+          tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);  //! rdcs
+        }
+      }
 
-  for (IndexType nn = 0; nn < nbrOfPoles;
-       ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
-    divresult = std::lldiv(nn, stride);
-    start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+      // copy local data
+      for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];  //§ ldata
 
-    // compute global vector index of start
-    dfg.getLocalVectorIndex(start, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+      // dehierarchization kernel
+      if (boundary) {
+        // hierarchize tmp array with hupp function
+      dehierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
+      } else {
+        for (LevelType l = 2; l <= lmax; ++l) {
+          // get first local point of level and corresponding stride
+          IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
+          IndexType first = parentOffset - 1;
+          IndexType levelStride = parentOffset * 2;
+
+          // loop over points of this level with level specific stride
+          // as long as inside domain
+          for (IndexType idx = first; idx < dfg.getGlobalSizes()[dim]; idx += levelStride) { 
+            // when no boundary in this dimension we have to check if
+            // 1d indices outside domain
+            FG_ELEMENT left(0.0);
+            FG_ELEMENT right(0.0);
+
+            if (idx - parentOffset > 0) {
+              left = tmp[idx - parentOffset];
+            }
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+            if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
+              right = tmp[idx + parentOffset];
+            }
 
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+            // do calculation
+            FG_ELEMENT buf = 0.5 * left;
+            tmp[idx] += 0.5 * right;
+            tmp[idx] += buf;
+          }
+        }
       }
-    }
 
-    // copy local data
-    for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];
+      // copy pole back
+      for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
+    }//# End pragma omp  for
+  }//# end pragma parallel
+}
 
-    // hierarchization kernel
-    IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
+// Ensemble variants
 
-    for (LevelType l = lmax; l > 0; --l) {
-      // get first local point of level and corresponding stride
-      IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
-      IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-      IndexType levelStride = parentOffset * 2;
 
-      // loop over points of this level with level specific stride
-      // as long as inside domain
-      for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
-        // when no boundary in this dimension we have to check if
-        // 1d indices outside domain
-        FG_ELEMENT left(0.0);
-        FG_ELEMENT right(0.0);
+template <typename FG_ELEMENT>
+static void hierarchizeX_opt_noboundary_dg(DFGEnsemble& dfgEnsemble,
+                                        std::vector<LookupTable<FG_ELEMENT>>& lookupTables) {
+  assert(false && "Not implemented for no boundary");
+}
 
-        if (idx - parentOffset > 0) {
-          left = tmp[idx - parentOffset];
-        }
-
-        if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
-          right = tmp[idx + parentOffset];
-        }
-
-        // do calculation
-        FG_ELEMENT buf = -0.5 * left;
-        tmp[idx] -= 0.5 * right;
-        tmp[idx] += buf;
-      }
-    }
-
-    // copy pole back
-    for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
-  }
-}
+template <typename FG_ELEMENT>
+static void dehierarchizeX_opt_noboundary_dg(DFGEnsemble& dfgEnsemble,
+                                          std::vector<LookupTable<FG_ELEMENT>>& lookupTables) {
+  assert(false && "Not implemented for no boundary");
+}
 
 template <typename FG_ELEMENT>
-void dehierarchizeN_opt_boundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                 LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == true);
-
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType size = dfg.getNrLocalElements();
-  IndexType stride = dfg.getLocalOffsets()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
-  IndexType jump = stride * ndim;
-  IndexType nbrOfPoles = size / ndim;
-
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
-
-  // loop over poles
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
-  std::vector<FG_ELEMENT>& ldata = dfg.getElementVector();
-  lldiv_t divresult;
-  IndexType start;
-  IndexType gstart = dfg.getLowerBounds()[dim];
+static void hierarchizeX_opt_boundary_dg(DFGEnsemble& dfgEnsemble,
+                                      std::vector<LookupTable<FG_ELEMENT>>& lookupTables) {
+  const DimType dim = 0;
+  assert(dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == true);
 
-  // first global index for hierarchization kernel. may not be a boundary point
-  IndexType idxstart = gstart;
+  const LevelType lmax = dfgEnsemble.getDFG(0).getLevels()[dim];
+  const IndexType ndim = dfgEnsemble.getDFG(0).getLocalSizes()[dim];
 
-  if (gstart == 0) idxstart += 1;
+  // size of xBlcok
+  const IndexType xSize = ndim;
+  const IndexType gstart = dfgEnsemble.getDFG(0).getLowerBounds()[dim];
 
-  // last global index inside subdomain and corresponding level
+  // last global index inside subdomain.
   // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
-  // LevelType level_idxend = dfg.getLevel(dim, idxend);
 
-  for (IndexType nn = 0; nn < nbrOfPoles;
-       ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
-    divresult = std::lldiv(nn, stride);
-    start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+  // level of gend
+  // LevelType level_idxend = dfg.getLevel(dim, idxend);
 
-    // compute global vector index of start
-    dfg.getLocalVectorIndex(start, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+  // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
+  const IndexType nbrxBlocks = dfgEnsemble.getDFG(0).getNrLocalElements() / ndim;
+  #pragma omp parallel 
+  {
+    IndexVector localIndexVector(dfgEnsemble.getDFG(0).getDimension());
+    IndexVector tmpGlobalIndexVector(dfgEnsemble.getDFG(0).getDimension());
+
+    // create tmp arrays to store xblocks
+    std::vector<std::vector<FG_ELEMENT>> tmp(dfgEnsemble.getNumFullGrids(),
+                std::vector<FG_ELEMENT>(dfgEnsemble.getDFG(0).getGlobalSizes()[dim]));
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
+
+      dfgEnsemble.getDFG(0).getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      assert(localIndexVector[dim] == 0);
+
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+
+        // copy local data to tmp
+        for (IndexType i = 0; i < xSize; ++i) tmp[j][gstart + i] = dfg.getElementVector()[linIdxBlockStart + i];
+
+        // copy remote data to tmp
+        std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTables[j].getRDCVector();
+        if (rdcs.size() > 0) {
+          // go through remote containers
+          for (size_t i = 0; i < rdcs.size(); ++i) {
+            IndexType global1didx = rdcs[i].getKeyIndex();
+            tmpGlobalIndexVector[dim] = global1didx;
+            tmp[j][global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+          }
+        }
+      }
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+      // need to hierarchize for every pair of ensemble grids that are neighbors in x
+      auto lowerIndices = dfgEnsemble.getIndicesOfLowerGridsInDimension(dim);
+      for (auto& index : lowerIndices) {
+        hierarchizeX_opt_boundary_kernel_dg(&tmp[index][0],
+                      &tmp[GridEnumeration::getUpperNeighborInDimension(static_cast<char>(dim), index)][0],
+                      lmax, 0, 1);
+      }
 
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        // copy local data back
+        for (IndexType i = 0; i < xSize; ++i) dfg.getElementVector()[linIdxBlockStart + i] = tmp[j][gstart + i];
       }
     }
-
-    // copy local data
-    for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];
-
-    // hierarchize tmp array with hupp function
-    dehierarchizeX_opt_boundary_kernel(&tmp[0], lmax, 0, 1);
-    // hierarchizeX_inner_boundary_kernel( &tmp[0], lmax,
-    //        idxstart, idxend, level_idxend );
-
-    // copy pole back
-    for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
   }
 }
 
 template <typename FG_ELEMENT>
-void dehierarchizeN_opt_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                                   LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == false);
+static void dehierarchizeX_opt_boundary_dg(DFGEnsemble& dfgEnsemble,
+                                        std::vector<LookupTable<FG_ELEMENT>>& lookupTables) {
+  const DimType dim = 0;
+  assert(dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == true);
 
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType size = dfg.getNrLocalElements();
-  IndexType stride = dfg.getLocalOffsets()[dim];
-  IndexType ndim = dfg.getLocalSizes()[dim];
-  IndexType jump = stride * ndim;
-  IndexType nbrOfPoles = size / ndim;
+  const LevelType lmax = dfgEnsemble.getDFG(0).getLevels()[dim];
+  const IndexType ndim = dfgEnsemble.getDFG(0).getLocalSizes()[dim];
 
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector tmpGlobalIndexVector(dfg.getDimension());
+  // size of xBlcok
+  const IndexType xSize = ndim;
 
-  // loop over poles
-  std::vector<FG_ELEMENT> tmp(dfg.getGlobalSizes()[dim]);
-  std::vector<FG_ELEMENT>& ldata = dfg.getElementVector();
-  lldiv_t divresult;
-  IndexType start;
-  IndexType gstart = dfg.getLowerBounds()[dim];
+  const IndexType gstart = dfgEnsemble.getDFG(0).getLowerBounds()[dim];
 
-  // first global index for hierarchization kernel. may not be a boundary point
-  IndexType idxstart = gstart;
+  // loop over all xBlocks of local domain -> linearIndex with stride localndim[0]
+  const IndexType nbrxBlocks = dfgEnsemble.getDFG(0).getNrLocalElements() / ndim;
+  #pragma omp parallel
+  {
+    IndexVector localIndexVector(dfgEnsemble.getDFG(0).getDimension());
+    IndexVector tmpGlobalIndexVector(dfgEnsemble.getDFG(0).getDimension());
+
+    // create tmp array to store xblock
+    std::vector<std::vector<FG_ELEMENT>> tmp(dfgEnsemble.getNumFullGrids(),
+                std::vector<FG_ELEMENT>(dfgEnsemble.getDFG(0).getGlobalSizes()[dim]));
+    #pragma omp for
+    for (IndexType xBlock = 0; xBlock < nbrxBlocks; ++xBlock) {
+      // get globalIndexVector of block start
+      // this is the base IndexVector of this block
+      // only dim component is varied
+      IndexType linIdxBlockStart = xBlock * ndim;
+
+      dfgEnsemble.getDFG(0).getLocalVectorIndex(linIdxBlockStart, localIndexVector);
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+        assert(localIndexVector[dim] == 0);
+
+        // copy local data to tmp
+        for (IndexType i = 0; i < xSize; ++i) tmp[j][gstart + i] = dfg.getElementVector()[linIdxBlockStart + i];
+
+        // copy remote data to tmp
+        std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTables[j].getRDCVector();
+        if (rdcs.size() > 0) {
+          // go through remote containers
+          for (size_t i = 0; i < rdcs.size(); ++i) {
+            IndexType global1didx = rdcs[i].getKeyIndex();
+            tmpGlobalIndexVector[dim] = global1didx;
+            tmp[j][global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
+          }
+        }
+      }
 
-  if (gstart == 0) idxstart += 1;
+      // need to dehierarchize for every pair of ensemble grids that are neighbors in x
+      auto lowerIndices = dfgEnsemble.getIndicesOfLowerGridsInDimension(dim);
+      for (auto& index : lowerIndices) {
+        dehierarchizeX_opt_boundary_kernel_dg(&tmp[index][0],
+                      &tmp[GridEnumeration::getUpperNeighborInDimension(static_cast<char>(dim), index)][0],
+                      lmax, 0, 1);
+      }
 
-  // last global index inside subdomain and corresponding level
-  // IndexType idxend = dfg.getUpperBounds()[dim] - 1;
-  // LevelType level_idxend = dfg.getLevel(dim, idxend);
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        // copy local data back
+        for (IndexType i = 0; i < xSize; ++i) dfg.getElementVector()[linIdxBlockStart + i] = tmp[j][gstart + i];
+      }
+    }//#end omp for
+  }//#end omp parallel
+}
 
-  for (IndexType nn = 0; nn < nbrOfPoles;
-       ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
-    divresult = std::lldiv(nn, stride);
-    start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+template <typename FG_ELEMENT>
+inline void hierarchizeX_opt_boundary_kernel_dg(FG_ELEMENT* dataLeft, FG_ELEMENT* dataRight, LevelType lmax, int start,
+                                             int stride) {
+  int steps;
+  int ctr;
+  int offset, parentOffset;
+  int stepsize;
+  int parOffsetStrided;
 
-    // compute global vector index of start
-    dfg.getLocalVectorIndex(start, localIndexVector);
-    dfg.getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
-    assert(localIndexVector[dim] == 0);
+  // ssa variables: helper variables 1 to 3 and values at right and left parents, respectively
+  FG_ELEMENT val1 = -100, val2 = -100, val3 = -100, parL = -100, parR = -100;
 
-    // copy remote data to tmp
-    std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTable.getRDCVector();
+  int lmaxi = static_cast<int>(lmax);
+  int ll = lmaxi;
+  steps = (1 << (ll - 1));
+  offset = 1;  // 1 da boundary
+  stepsize = 2;
+  parentOffset = 1;
 
-    if (rdcs.size() > 0) {
-      // go through remote containers
-      for (size_t i = 0; i < rdcs.size(); ++i) {
-        IndexType global1didx = rdcs[i].getKeyIndex();
-        tmpGlobalIndexVector[dim] = global1didx;
-        tmp[global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
-      }
-    }
+  FG_ELEMENT* valLeft = dataLeft;
+  FG_ELEMENT* valRight = dataRight;
 
-    // copy local data
-    for (IndexType i = 0; i < ndim; ++i) tmp[gstart + i] = ldata[start + stride * i];
-
-    // dehierarchization kernel
-    for (LevelType l = 2; l <= lmax; ++l) {
-      // get first local point of level and corresponding stride
-      IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-      IndexType first = parentOffset - 1;
-      IndexType levelStride = parentOffset * 2;
-
-      // loop over points of this level with level specific stride
-      // as long as inside domain
-      for (IndexType idx = first; idx < dfg.getGlobalSizes()[dim]; idx += levelStride) {
-        // when no boundary in this dimension we have to check if
-        // 1d indices outside domain
-        FG_ELEMENT left(0.0);
-        FG_ELEMENT right(0.0);
-
-        if (idx - parentOffset > 0) {
-          left = tmp[idx - parentOffset];
-        }
+  for (ll--; ll > -1;
+       ll--) {  // hier is index um 1 geschiftet da vorher level 2 manuell behandelt wurde
+    parOffsetStrided = parentOffset * stride;
+    // hierarchize w.r.t. right-hand limit of left parent, and left-hand limit of right parent
 
-        if (idx + parentOffset < dfg.getGlobalSizes()[dim]) {
-          right = tmp[idx + parentOffset];
-        }
+    for (ctr = 0; ctr < steps; ++ctr) {
+      parL = 0.5 * valRight[start + offset * stride - parOffsetStrided];
+      parR = 0.5 * valLeft[start + offset * stride + parOffsetStrided];
 
-        // do calculation
-        FG_ELEMENT buf = 0.5 * left;
-        tmp[idx] += 0.5 * right;
-        tmp[idx] += buf;
-      }
+      val1 = valLeft[start + offset * stride];
+      val2 = val1 - parL;
+      val3 = val2 - parR;
+      valLeft[start + offset * stride] = val3;
+      val1 = valRight[start + offset * stride];
+      val2 = val1 - parL;
+      val3 = val2 - parR;
+      valRight[start + offset * stride] = val3;
+
+      offset += stepsize;
     }
 
-    // copy pole back
-    for (IndexType i = 0; i < ndim; ++i) ldata[start + stride * i] = tmp[gstart + i];
+    steps = steps >> 1;
+    offset = (1 << (lmaxi - ll));  // boundary case
+    parentOffset = stepsize;
+    stepsize = stepsize << 1;
   }
+  return;
 }
 
 template <typename FG_ELEMENT>
-void hierarchizeN_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                             LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == false);
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
-  IndexType ndim = dfg.getLocalSizes()[dim];
-
-  // number of xblocks for the hierarchization of one point of dim
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / (dfg.getLocalSizes()[0] * ndim);
-  // size of xBlcok
-  IndexType xSize = dfg.getLocalSizes()[0];
-
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector globalIndexVectorCenter(dfg.getDimension());
-  IndexVector globalIndexVectorLeft(dfg.getDimension());
-  IndexVector globalIndexVectorRight(dfg.getDimension());
-
-  // loop over levels
-  for (LevelType l = lmax; l > 0; --l) {
-    // loop over all 1d-points of the level
-
-    // get first local point of level and corresponding stride
-    IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
-    IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-    IndexType levelStride = parentOffset * 2;
-
-    for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
-      // get local 1d idx
-      IndexType lidx = idx - dfg.getLowerBounds()[dim];
-
-      // loop over all possible xBlocks
-      for (IndexType localLinIdxBlockStart = 0; localLinIdxBlockStart < dfg.getNrLocalElements();
-           localLinIdxBlockStart += xSize) {
-        // get localIndexVector of block start
-        dfg.getLocalVectorIndex(localLinIdxBlockStart, localIndexVector);
+inline void dehierarchizeX_opt_boundary_kernel_dg(FG_ELEMENT* dataLeft, FG_ELEMENT* dataRight, LevelType lmax, int start,
+                                               int stride) {
+  int steps;
+  int ctr;
+  int offset, parentOffset;
+  int stepsize;
+  int parOffsetStrided;
+  
+  FG_ELEMENT* valLeft = dataLeft;
+  FG_ELEMENT* valRight = dataRight;
 
-        if (localIndexVector[dim] == lidx) {
-          // hierarchize this block
+  // ssa variables
+  FG_ELEMENT val1 = -100, val2 = -100, val3 = -100, parL = -100, parR = -100;
 
-          assert(localIndexVector[0] == 0);
+  //        int maxL = l[dim];
+  //      start = start +stride; // nun mit offset = 1;start war vorher der erste gitterpunkt
+  //      (welcher randpunkt ist) und ist nun der erste zu hierarchisierende Gitterpunkt.
+  int maxL = int(lmax);
 
-          dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
+  steps = 1;
+  offset = (1 << (maxL - 1));  // offset =1 da boundary.
+  stepsize = (1 << maxL);
+  parentOffset = (1 << (maxL - 1));
 
-          globalIndexVectorCenter = baseGlobalIndexVector;
-          globalIndexVectorLeft = baseGlobalIndexVector;
-          globalIndexVectorRight = baseGlobalIndexVector;
-          globalIndexVectorCenter[dim] = idx;
-          globalIndexVectorLeft[dim] = idx - parentOffset;
-          globalIndexVectorRight[dim] = idx + parentOffset;
+  for (LevelType ll = 1; ll <= maxL;
+       ll++) {  // couting with offset of one as level 2 was hierarchized manually before
+    // just convers setting of strides and co.
+    parOffsetStrided = parentOffset * stride;
 
-          // translate global indices vector to pointers
-          FG_ELEMENT* center = lookupTable.getData(globalIndexVectorCenter);
+    for (ctr = 0; ctr < steps; ctr++) {
+      parL = 0.5 * valRight[start + offset * stride - parOffsetStrided];
+      parR = 0.5 * valLeft[start + offset * stride + parOffsetStrided];
+      val1 = valLeft[start + offset * stride];
+      val2 = val1 + parL;
+      val3 = val2 + parR;
+      valLeft[start + offset * stride] = val3;
+      val1 = valRight[start + offset * stride];
+      val2 = val1 + parL;
+      val3 = val2 + parR;
+      valRight[start + offset * stride] = val3;
+      offset += stepsize;
+    }
 
-          // when no boundary in this dimension we have to check if
-          // 1d indices outside domain
-          FG_ELEMENT* left = NULL;
-          FG_ELEMENT* right = NULL;
+    steps = steps << 1;
+    offset = (1 << (maxL - (ll + 1)));  // boundary case
+    parentOffset = parentOffset >> 1;
+    stepsize = stepsize >> 1;
+  }
 
-          if (globalIndexVectorLeft[dim] > 0) {
-            left = lookupTable.getData(globalIndexVectorLeft);
-          }
+  return;
+}
 
-          if (globalIndexVectorRight[dim] < dfg.getGlobalSizes()[dim]) {
-            right = lookupTable.getData(globalIndexVectorRight);
-          }
+template <typename FG_ELEMENT, bool boundary>
+void hierarchizeN_opt_dg(DFGEnsemble& dfgEnsemble, std::vector<LookupTable<FG_ELEMENT>>& lookupTables,
+                      const DimType dim) {
+  assert(dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == boundary);
 
-          if (left != NULL && right != NULL) {
-            // hierarchization kernel inner points
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * left[i];
-              center[i] -= 0.5 * right[i];
-            }
-          }
+  const LevelType lmax = dfgEnsemble.getDFG(0).getLevels()[dim];
+  const IndexType size = dfgEnsemble.getDFG(0).getNrLocalElements();
+  const IndexType stride = dfgEnsemble.getDFG(0).getLocalOffsets()[dim];
+  const IndexType ndim = dfgEnsemble.getDFG(0).getLocalSizes()[dim];
+  const IndexType jump = stride * ndim;
+  const IndexType nbrOfPoles = size / ndim;
 
-          if (left == NULL && right != NULL) {
-            // hierarchization kernel left point does not exist
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * right[i];
-            }
-          }
+  const IndexType gstart = dfgEnsemble.getDFG(0).getLowerBounds()[dim];
 
-          if (left != NULL && right == NULL) {
-            // hierarchization kernel right point does not exist
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * left[i];
-            }
+  #pragma omp parallel
+  {
+    IndexVector localIndexVector(dfgEnsemble.getDFG(0).getDimension());
+    IndexVector tmpGlobalIndexVector(dfgEnsemble.getDFG(0).getDimension());
+
+    std::vector<std::vector<FG_ELEMENT>> tmp(dfgEnsemble.getNumFullGrids(),
+                std::vector<FG_ELEMENT>(dfgEnsemble.getDFG(0).getGlobalSizes()[dim]));
+    // loop over poles
+    #pragma omp for
+    for (IndexType nn = 0; nn < nbrOfPoles; ++nn) {
+         // integer operations form bottleneck here -- nested loops are twice as slow
+      lldiv_t divresult = std::lldiv(nn, stride);
+      IndexType start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+
+      // compute global vector index of start
+      dfgEnsemble.getDFG(0).getLocalVectorIndex(start, localIndexVector);
+      assert(localIndexVector[dim] == 0);
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        dfgEnsemble.getDFG(0).getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+
+        // copy local data to tmp
+        for (IndexType i = 0; i < ndim; ++i) tmp[j][gstart + i] = dfg.getElementVector()[start + stride * i];
+
+        // copy remote data to tmp
+        std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTables[j].getRDCVector();
+
+        if (rdcs.size() > 0) {
+          // go through remote containers
+          for (size_t i = 0; i < rdcs.size(); ++i) {
+            IndexType global1didx = rdcs[i].getKeyIndex();
+            tmpGlobalIndexVector[dim] = global1didx;
+            tmp[j][global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
           }
+        }
+      }
 
-          // for case where left and right outside domain, do nothing
+      if (boundary) {
+        // hierarchize tmp array with hupp function      
+        // need to hierarchize for every pair of ensemble grids that are neighbors in x
+        auto lowerIndices = dfgEnsemble.getIndicesOfLowerGridsInDimension(dim);
+        for (auto& index : lowerIndices) {
+          hierarchizeX_opt_boundary_kernel_dg(&tmp[index][0],
+                        &tmp[GridEnumeration::getUpperNeighborInDimension(static_cast<char>(dim), index)][0],
+                        lmax, 0, 1);
         }
+      } else {
+        assert(false && "Not implemented for no boundary");
+      }
+
+      // copy pole back
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        for (IndexType i = 0; i < ndim; ++i) dfg.getElementVector()[start + stride * i] = tmp[j][gstart + i];
       }
     }
   }
 }
 
-template <typename FG_ELEMENT>
-void dehierarchizeN_noboundary(DistributedFullGrid<FG_ELEMENT>& dfg,
-                               LookupTable<FG_ELEMENT>& lookupTable, DimType dim) {
-  assert(dfg.returnBoundaryFlags()[dim] == false);
-  LevelType lmax = dfg.getLevels()[dim];
-  IndexType idxMax = dfg.getLastGlobal1dIndex(dim);
-  IndexType ndim = dfg.getLocalSizes()[dim];
-
-  // number of xblocks for the hierarchization of one point of dim
-  IndexType nbrxBlocks = dfg.getNrLocalElements() / (dfg.getLocalSizes()[0] * ndim);
-  // size of xBlcok
-  IndexType xSize = dfg.getLocalSizes()[0];
-
-  IndexVector localIndexVector(dfg.getDimension());
-  IndexVector baseGlobalIndexVector(dfg.getDimension());
-  IndexVector globalIndexVectorCenter(dfg.getDimension());
-  IndexVector globalIndexVectorLeft(dfg.getDimension());
-  IndexVector globalIndexVectorRight(dfg.getDimension());
-
-  // loop over levels
-  for (LevelType l = lmax; l > 0; --l) {
-    // loop over all 1d-points of the level
-
-    // get first local point of level and corresponding stride
-    IndexType firstOfLevel = getFirstIndexOfLevel1d(dfg, dim, l);
-    IndexType parentOffset = static_cast<IndexType>(std::pow(2, lmax - l));
-    IndexType levelStride = parentOffset * 2;
-
-    for (IndexType idx = firstOfLevel; idx <= idxMax; idx += levelStride) {
-      // get local 1d idx
-      IndexType lidx = idx - dfg.getLowerBounds()[dim];
-
-      // loop over all possible xBlocks
-      for (IndexType localLinIdxBlockStart = 0; localLinIdxBlockStart < dfg.getNrLocalElements();
-           localLinIdxBlockStart += xSize) {
-        // get localIndexVector of block start
-        dfg.getLocalVectorIndex(localLinIdxBlockStart, localIndexVector);
-
-        if (localIndexVector[dim] == lidx) {
-          // hierarchize this block
-
-          assert(localIndexVector[0] == 0);
-
-          dfg.getGlobalVectorIndex(localIndexVector, baseGlobalIndexVector);
-
-          globalIndexVectorCenter = baseGlobalIndexVector;
-          globalIndexVectorLeft = baseGlobalIndexVector;
-          globalIndexVectorRight = baseGlobalIndexVector;
-          globalIndexVectorCenter[dim] = idx;
-          globalIndexVectorLeft[dim] = idx - parentOffset;
-          globalIndexVectorRight[dim] = idx + parentOffset;
-
-          // translate global indices vector to pointers
-          FG_ELEMENT* center = lookupTable.getData(globalIndexVectorCenter);
-
-          // when no boundary in this dimension we have to check if
-          // 1d indices outside domain
-          FG_ELEMENT* left = NULL;
-          FG_ELEMENT* right = NULL;
-
-          if (globalIndexVectorLeft[dim] > 0) {
-            left = lookupTable.getData(globalIndexVectorLeft);
-          }
-
-          if (globalIndexVectorRight[dim] < dfg.getGlobalSizes()[dim]) {
-            right = lookupTable.getData(globalIndexVectorRight);
-          }
+template <typename FG_ELEMENT, bool boundary>
+void dehierarchizeN_opt_dg(DFGEnsemble& dfgEnsemble, std::vector<LookupTable<FG_ELEMENT>>& lookupTables,
+                        const DimType dim) {
+  assert(dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == boundary);
 
-          if (left != NULL && right != NULL) {
-            // hierarchization kernel inner points
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * left[i];
-              center[i] -= 0.5 * right[i];
-            }
-          }
+  const LevelType lmax = dfgEnsemble.getDFG(0).getLevels()[dim];
+  const IndexType size = dfgEnsemble.getDFG(0).getNrLocalElements();
+  const IndexType stride = dfgEnsemble.getDFG(0).getLocalOffsets()[dim];
+  const IndexType ndim = dfgEnsemble.getDFG(0).getLocalSizes()[dim];
+  const IndexType jump = stride * ndim;
+  const IndexType nbrOfPoles = size / ndim;
 
-          if (left == NULL && right != NULL) {
-            // hierarchization kernel left point does not exist
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * right[i];
-            }
-          }
+  // loop over poles
+  const IndexType gstart = dfgEnsemble.getDFG(0).getLowerBounds()[dim];
 
-          if (left != NULL && right == NULL) {
-            // hierarchization kernel right point does not exist
-            for (IndexType i = 0; i < xSize; ++i) {
-              center[i] -= 0.5 * left[i];
-            }
+  #pragma omp parallel
+  {
+    IndexVector localIndexVector(dfgEnsemble.getDFG(0).getDimension());
+    IndexVector tmpGlobalIndexVector(dfgEnsemble.getDFG(0).getDimension());
+
+    std::vector<std::vector<FG_ELEMENT>> tmp(dfgEnsemble.getNumFullGrids(),
+                std::vector<FG_ELEMENT>(dfgEnsemble.getDFG(0).getGlobalSizes()[dim]));
+
+#pragma omp for  // default(none)// firstprivate(lo)
+    for (IndexType nn = 0; nn < nbrOfPoles;
+        ++nn) {  // integer operations form bottleneck here -- nested loops are twice as slow
+      lldiv_t divresult = std::lldiv(nn, stride);
+      IndexType start = divresult.quot * jump + divresult.rem;  // localer lin index start of pole
+
+      // compute global vector index of start
+      dfgEnsemble.getDFG(0).getLocalVectorIndex(start, localIndexVector);
+      assert(localIndexVector[dim] == 0);
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        dfgEnsemble.getDFG(0).getGlobalVectorIndex(localIndexVector, tmpGlobalIndexVector);
+
+        // copy local data to tmp
+        for (IndexType i = 0; i < ndim; ++i) tmp[j][gstart + i] = dfg.getElementVector()[start + stride * i];
+
+        // copy remote data to tmp
+        std::vector<RemoteDataContainer<FG_ELEMENT> >& rdcs = lookupTables[j].getRDCVector();
+
+        if (rdcs.size() > 0) {
+          // go through remote containers
+          for (size_t i = 0; i < rdcs.size(); ++i) {
+            IndexType global1didx = rdcs[i].getKeyIndex();
+            tmpGlobalIndexVector[dim] = global1didx;
+            tmp[j][global1didx] = *rdcs[i].getData(tmpGlobalIndexVector);
           }
+        }
+      }
 
-          // for case where left and right outside domain, do nothing
+      // dehierarchization kernel
+      if (boundary) {
+        // dehierarchize tmp array with hupp function
+        // need to dehierarchize for every pair of ensemble grids that are neighbors in x
+        auto lowerIndices = dfgEnsemble.getIndicesOfLowerGridsInDimension(dim);
+        for (auto& index : lowerIndices) {
+          dehierarchizeX_opt_boundary_kernel_dg(&tmp[index][0],
+                        &tmp[GridEnumeration::getUpperNeighborInDimension(static_cast<char>(dim), index)][0],
+                        lmax, 0, 1);
         }
+      } else {
+        assert(false && "Not implemented for no boundary");
       }
-    }
-  }
-}
 
+      // copy pole back
+      for (size_t j = 0; j < dfgEnsemble.getNumFullGrids(); ++j) {
+        auto& dfg = dfgEnsemble.getDFG(j);
+        for (IndexType i = 0; i < ndim; ++i) dfg.getElementVector()[start + stride * i] = tmp[j][gstart + i];
+      }
+    }//# End pragma omp  for
+  }//# end pragma parallel
+}
 }  // unnamed namespace
 
 namespace combigrid {
@@ -2365,7 +2384,7 @@ class DistributedHierarchization {
       exchangeData1d(dfg, dim, remoteData);
 
       LookupTable<FG_ELEMENT> lookupTable(remoteData, dfg, dim);
-
+  
       if (dfg.returnBoundaryFlags()[dim] == true) {
         hierarchizeX_opt_boundary(dfg, lookupTable);
       } else {
@@ -2384,10 +2403,12 @@ class DistributedHierarchization {
 
       if (dfg.returnBoundaryFlags()[dim] == true) {
         // hierarchizeN_boundary( dfg, lookupTable, dim );
-        hierarchizeN_opt_boundary(dfg, lookupTable, dim);
+        hierarchizeN_opt<FG_ELEMENT, true>(dfg, lookupTable, dim);
       } else {
-        hierarchizeN_opt_noboundary(dfg, lookupTable, dim);
+        hierarchizeN_opt<FG_ELEMENT, false>(dfg, lookupTable, dim);
       }
+
+      ++hierCount;
     }
   }
 
@@ -2412,13 +2433,15 @@ class DistributedHierarchization {
       exchangeData1dDehierarchization(dfg, dim, remoteData);
       LookupTable<FG_ELEMENT> lookupTable(remoteData, dfg, dim);
 
-      if (dfg.returnBoundaryFlags()[dim] == true) {
+      // Stats::startEvent("only dehierarchize");
+      if (dfg.returnBoundaryFlags()[dim] == true) {  // TODO
         dehierarchizeX_opt_boundary(dfg, lookupTable);
       } else {
         dehierarchizeX_opt_noboundary(dfg, lookupTable);
       }
+      // Stats::stopEvent("only dehierarchize");
     }
-
+    //
     // dehierarchize other dimensions
     for (DimType dim = 1; dim < dfg.getDimension(); ++dim) {
       if (!dims[dim]) continue;
@@ -2428,11 +2451,13 @@ class DistributedHierarchization {
       exchangeData1dDehierarchization(dfg, dim, remoteData);
       LookupTable<FG_ELEMENT> lookupTable(remoteData, dfg, dim);
 
+      // Stats::startEvent("only dehierarchize");
       if (dfg.returnBoundaryFlags()[dim] == true) {
-        dehierarchizeN_opt_boundary(dfg, lookupTable, dim);
+        dehierarchizeN_opt<FG_ELEMENT, true>(dfg, lookupTable, dim);
       } else {
-        dehierarchizeN_opt_noboundary(dfg, lookupTable, dim);
+        dehierarchizeN_opt<FG_ELEMENT, false>(dfg, lookupTable, dim);
       }
+      // Stats::stopEvent("only dehierarchize");
     }
   }
 
@@ -2452,6 +2477,115 @@ class DistributedHierarchization {
     DistributedHierarchization::dehierarchize<FG_ELEMENT>(
         dfg, hierarchizationDims);
   }
+
+
+  // Ensemble variants
+
+  // inplace hierarchization
+  static void hierarchize(DFGEnsemble& dfgEnsemble, const std::vector<bool>& dims) {
+    assert(dfgEnsemble.getDFG(0).getDimension() > 0);
+    assert(dfgEnsemble.getDFG(0).getDimension() == dims.size());
+
+    // hierarchize first dimension
+    if (dims[0]) {
+      DimType dim = 0;
+
+      // exchange data first dimension
+      std::vector<std::vector<RemoteDataContainer<CombiDataType> >> remoteData (dfgEnsemble.getNumFullGrids());
+      std::vector<LookupTable<CombiDataType>> lookupTables;
+      for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+        exchangeData1d(dfgEnsemble.getDFG(i), dim, remoteData[i]);
+        lookupTables.emplace_back(remoteData[i], dfgEnsemble.getDFG(i), dim);
+      }
+      if (dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == true) {
+        hierarchizeX_opt_boundary_dg(dfgEnsemble, lookupTables);
+      } else {
+        hierarchizeX_opt_noboundary_dg(dfgEnsemble, lookupTables);
+      }
+    }
+
+    // hierarchize other dimensions
+    for (DimType dim = 1; dim < dfgEnsemble.getDFG(0).getDimension(); ++dim) {
+      if (!dims[dim]) continue;
+
+      // exchange data
+      std::vector<std::vector<RemoteDataContainer<CombiDataType> >> remoteData (dfgEnsemble.getNumFullGrids());
+      std::vector<LookupTable<CombiDataType>> lookupTables;
+      for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+        exchangeData1d(dfgEnsemble.getDFG(i), dim, remoteData[i]);
+        lookupTables.emplace_back(remoteData[i], dfgEnsemble.getDFG(i), dim);
+      }
+
+      if (dfgEnsemble.getDFG(0).returnBoundaryFlags()[dim] == true) {
+        // hierarchizeN_boundary( dfg, lookupTable, dim );
+        hierarchizeN_opt_dg<CombiDataType, true>(dfgEnsemble, lookupTables, dim);
+      } else {
+        hierarchizeN_opt_dg<CombiDataType, false>(dfgEnsemble, lookupTables, dim);
+      }
+
+      ++hierCount;
+    }
+  }
+
+  static void hierarchize(DFGEnsemble& dfgEnsemble) {
+    auto& dfg = dfgEnsemble.getDFG(0);
+    std::vector<bool> dims(dfg.getDimension(), true);
+    hierarchize(dfgEnsemble, dims);
+  }
+
+    // inplace dehierarchization
+  static void dehierarchize(DFGEnsemble& dfgEnsemble, const std::vector<bool>& dims) {
+    auto& dfg = dfgEnsemble.getDFG(0);
+    assert(dfg.getDimension() > 0);
+    assert(dfg.getDimension() == dims.size());
+
+    // dehierarchize first dimension
+    if (dims[0]) {
+      DimType dim = 0;
+
+      // exchange data first dimension
+      std::vector<std::vector<RemoteDataContainer<CombiDataType> >> remoteData (dfgEnsemble.getNumFullGrids());
+      std::vector<LookupTable<CombiDataType>> lookupTables;
+      for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+        exchangeData1dDehierarchization(dfgEnsemble.getDFG(i), dim, remoteData[i]);
+        lookupTables.emplace_back(remoteData[i], dfgEnsemble.getDFG(i), dim);
+      }
+
+      // Stats::startEvent("only dehierarchize");
+      if (dfg.returnBoundaryFlags()[dim] == true) {  // TODO
+        dehierarchizeX_opt_boundary_dg(dfgEnsemble, lookupTables);
+      } else {
+        dehierarchizeX_opt_noboundary_dg(dfgEnsemble, lookupTables);
+      }
+      // Stats::stopEvent("only dehierarchize");
+    }
+
+    // dehierarchize other dimensions
+    for (DimType dim = 1; dim < dfg.getDimension(); ++dim) {
+      if (!dims[dim]) continue;
+
+      // exchange data
+      std::vector<std::vector<RemoteDataContainer<CombiDataType> >> remoteData (dfgEnsemble.getNumFullGrids());
+      std::vector<LookupTable<CombiDataType>> lookupTables;
+      for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+        exchangeData1dDehierarchization(dfgEnsemble.getDFG(i), dim, remoteData[i]);
+        lookupTables.emplace_back(remoteData[i], dfgEnsemble.getDFG(i), dim);
+      }
+
+      // Stats::startEvent("only dehierarchize");
+      if (dfg.returnBoundaryFlags()[dim] == true) {
+        dehierarchizeN_opt_dg<CombiDataType, true>(dfgEnsemble, lookupTables, dim);
+      } else {
+        dehierarchizeN_opt_dg<CombiDataType, false>(dfgEnsemble, lookupTables, dim);
+      }
+      // Stats::stopEvent("only dehierarchize");
+    }
+  }
+
+  static void dehierarchize(DFGEnsemble& dfgEnsemble) {
+    std::vector<bool> dims(dfgEnsemble.getDFG(0).getDimension(), true);
+    dehierarchize(dfgEnsemble, dims);
+  }
 };
 // class DistributedHierarchization
 
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.cpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.cpp
index 60cf6d5b5..703cc5f48 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.cpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.cpp
@@ -11,6 +11,7 @@ ProcessGroupManager::ProcessGroupManager(RankType pgroupRootID)
       statusRequestFT_(nullptr) {}
 
 bool ProcessGroupManager::runfirst(Task* t) {
+  
   return storeTaskReferenceAndSendTaskToProcessGroup(t, RUN_FIRST);
 }
 
@@ -74,6 +75,7 @@ bool ProcessGroupManager::runnext() {
 
   sendSignalAndReceive(RUN_NEXT);
 
+   
   return true;
 }
 
@@ -167,7 +169,7 @@ void sendLevelVector(const LevelVector& leval, RankType pgroupRootID){
 bool ProcessGroupManager::parallelEval(const LevelVector& leval, std::string& filename) {
   // can only send sync signal when in wait state, so check first
   assert(status_ == PROCESS_GROUP_WAIT);
-
+  
   sendSignalToProcessGroup(PARALLEL_EVAL);
 
   sendLevelVector(leval, pgroupRootID_);
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp
index 424ef0cb5..fe35dda2f 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp
@@ -192,6 +192,7 @@ inline StatusType ProcessGroupManager::waitStatus() {
 
 inline complex ProcessGroupManager::eval(const std::vector<real>& x) {
   // todo: implement
+  
   throw std::runtime_error("Not yet implemented: " + std::string(x.begin(), x.end()) + __FILE__ +
                            " " + std::to_string(__LINE__));
   return complex(0.0, 0.0);
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.cpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.cpp
index 310f5b45e..466a023de 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.cpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.cpp
@@ -60,8 +60,7 @@ SignalType ProcessGroupWorker::wait() {
   if (status_ != PROCESS_GROUP_WAIT) {
 #ifdef DEBUG_OUTPUT
     int myRank = theMPISystem()->getWorldRank();
-    std::cout << "status is " << status_ << "of rank " << myRank << "\n";
-    std::cout << "executing next task\n";
+    
 #endif
     return RUN_NEXT;
   }
@@ -102,19 +101,17 @@ SignalType ProcessGroupWorker::wait() {
 
         // run first task
         // if isGENE, this is done in GENE's worker_routines.cpp
-        if (!isGENE) {
-          Stats::startEvent("worker run");
-        }
+        // if (!isGENE) {
+        //   Stats::startEvent("worker run");
+        // }
 
         Stats::Event e = Stats::Event();
         currentTask_->run(theMPISystem()->getLocalComm());
         e.end = std::chrono::high_resolution_clock::now();
-        // std::cout << "from runnext ";
         processDuration(*currentTask_, e, getCommSize(theMPISystem()->getLocalComm()));   
-
-        if (!isGENE) {
-          Stats::stopEvent("worker run");
-        }
+        // if (!isGENE) {
+        //   Stats::stopEvent("worker run");
+        // }
       } else {
         std::cout << "Possible error: No tasks! \n";
       }
@@ -318,6 +315,7 @@ void ProcessGroupWorker::ready() {
       std::cout << "rank " << globalRank << " fault detected" << std::endl;
     }
   }
+  
   if (status_ != PROCESS_GROUP_FAIL) {
     // check if there are unfinished tasks
     // all the tasks that are not the first in their process group will be run in this loop
@@ -357,7 +355,6 @@ void ProcessGroupWorker::ready() {
       status_ = PROCESS_GROUP_WAIT;
     }
   }
-
   // send ready status to manager
   MASTER_EXCLUSIVE_SECTION {
     StatusType status = status_;
@@ -373,7 +370,6 @@ void ProcessGroupWorker::ready() {
 
   // reset current task
   currentTask_ = NULL;
-
   // if failed proc in this group detected the alive procs go into recovery state
   if (ENABLE_FT) {
     if (status_ == PROCESS_GROUP_FAIL) {
@@ -472,7 +468,6 @@ void ProcessGroupWorker::combineUniform() {
   // the dsg can be smaller than lmax because the highest subspaces do not have
   // to be exchanged
   // todo: use a flag to switch on/off optimized combination
-
   reduceSparseGridCoefficients(lmax, lmin, combiParameters_.getNumberOfCombinations(),
                                currentCombi_, combiParameters_.getLMinReductionVector(),
                                combiParameters_.getLMaxReductionVector());
@@ -508,21 +503,32 @@ void ProcessGroupWorker::combineUniform() {
   //real localMax(0.0);
   // std::vector<CombiDataType> beforeCombi;
   for (Task* t : tasks_) {
-    for (int g = 0; g < numGrids; g++) {
-      DistributedFullGrid<CombiDataType>& dfg = t->getDistributedFullGrid(g);
-      // std::vector<CombiDataType> datavector(dfg.getElementVector());
-      // beforeCombi = datavector;
-      // compute max norm
-      /*
-      real max = dfg.getLpNorm(0);
-      if( max > localMax )
-        localMax = max;
-        */
+    auto dfgEnsemble = t->getDFGEnsemble();
+    if (dfgEnsemble != nullptr) {
+      // hierarchize dfgEnsemble
+      DistributedHierarchization::hierarchize(
+          *dfgEnsemble, combiParameters_.getHierarchizationDims());
 
-      // hierarchize dfg
-      DistributedHierarchization::hierarchize<CombiDataType>(
-          dfg, combiParameters_.getHierarchizationDims());
+    } else {
+      for (int g = 0; g < numGrids; g++) {
+        DistributedFullGrid<CombiDataType>& dfg = t->getDistributedFullGrid(g);
+        // std::vector<CombiDataType> datavector(dfg.getElementVector());
+        // beforeCombi = datavector;
+        // compute max norm
+        /*
+        real max = dfg.getLpNorm(0);
+        if( max > localMax )
+          localMax = max;
+          */
+
+        // hierarchize dfg
+        DistributedHierarchization::hierarchize<CombiDataType>(
+            dfg, combiParameters_.getHierarchizationDims());
+      }
+    }
 
+    for (int g = 0; g < numGrids; g++) {
+      DistributedFullGrid<CombiDataType>& dfg = t->getDistributedFullGrid(g);
       // lokales reduce auf sg ->
       dfg.addToUniformSG(*combinedUniDSGVector_[g], combiParameters_.getCoeff(t->getID()));
 #ifdef DEBUG_OUTPUT
@@ -603,7 +609,6 @@ void ProcessGroupWorker::parallelEval() {
   else
     assert(false && "not yet implemented");
 }
-
 // cf https://stackoverflow.com/questions/874134/find-out-if-string-ends-with-another-string-in-c
 static bool endsWith(const std::string& str, const std::string& suffix)
 {
@@ -651,20 +656,40 @@ void ProcessGroupWorker::parallelEvalUniform() {
   MPIUtils::broadcastClass(&filename, theMPISystem()->getMasterRank(),
                            theMPISystem()->getLocalComm());
 
-  for (int g = 0; g < numGrids; g++) {  // loop over all grids and plot them
-    // create dfg
-    bool forwardDecomposition = combiParameters_.getForwardDecomposition();
-    DistributedFullGrid<CombiDataType> dfg(
+  bool forwardDecomposition = combiParameters_.getForwardDecomposition();
+
+  auto dfgEnsembleTaskZero = tasks_[0]->getDFGEnsemble();
+  if (dfgEnsembleTaskZero != nullptr) {
+    // create reference dfgEnsemble
+    DFGEnsemble dfgEnsemble(
       dim, leval, theMPISystem()->getLocalComm(), combiParameters_.getBoundary(),
       combiParameters_.getParallelization(), forwardDecomposition);
-    this->fillDFGFromDSGU(dfg, g);
-    // save dfg to file with MPI-IO
-    auto pos = filename.find(".");
-    if (pos != std::string::npos){
-      // if filename contains ".", insert grid number before that
-      filename.insert(pos, "_" + std::to_string(g));
+    this->fillDFGEnsembleFromDSGUs(dfgEnsemble);
+    for (int g = 0; g < numGrids; g++) {
+      auto& dfg = dfgEnsemble.getDFG(g);
+      // save dfg to file with MPI-IO
+      auto pos = filename.find(".");
+      if (pos != std::string::npos){
+        // if filename contains ".", insert grid number before that
+        filename.insert(pos, "_" + std::to_string(g));
+      }
+      dfg.writePlotFile(filename.c_str());
+    }
+  } else {
+    for (int g = 0; g < numGrids; g++) {  // loop over all grids and plot them
+      // create dfg
+      DistributedFullGrid<CombiDataType> dfg(
+        dim, leval, theMPISystem()->getLocalComm(), combiParameters_.getBoundary(),
+        combiParameters_.getParallelization(), forwardDecomposition);
+      this->fillDFGFromDSGU(dfg, g);
+      // save dfg to file with MPI-IO
+      auto pos = filename.find(".");
+      if (pos != std::string::npos){
+        // if filename contains ".", insert grid number before that
+        filename.insert(pos, "_" + std::to_string(g));
+      }
+      dfg.writePlotFile(filename.c_str());
     }
-    dfg.writePlotFile(filename.c_str());
   }
 }
 
@@ -697,6 +722,7 @@ void sendEvalNorms(const DistributedFullGrid<CombiDataType>& dfg){
 }
 
 void ProcessGroupWorker::parallelEvalNorm() {
+  assert(combiParameters_.getNumGrids() == 1);
   auto leval = receiveLevalAndBroadcast();
   const int dim = static_cast<int>(leval.size());
   bool forwardDecomposition = combiParameters_.getForwardDecomposition();
@@ -711,6 +737,7 @@ void ProcessGroupWorker::parallelEvalNorm() {
 }
 
 void ProcessGroupWorker::evalAnalyticalOnDFG() {
+  assert(combiParameters_.getNumGrids() == 1);
   auto leval = receiveLevalAndBroadcast();
   const int dim = static_cast<int>(leval.size());
   bool forwardDecomposition = combiParameters_.getForwardDecomposition();
@@ -731,6 +758,7 @@ void ProcessGroupWorker::evalAnalyticalOnDFG() {
 }
 
 void ProcessGroupWorker::evalErrorOnDFG() {
+  assert(combiParameters_.getNumGrids() == 1);
   auto leval = receiveLevalAndBroadcast();
   const int dim = static_cast<int>(leval.size());
   bool forwardDecomposition = combiParameters_.getForwardDecomposition();
@@ -899,26 +927,35 @@ void ProcessGroupWorker::updateCombiParameters() {
 void ProcessGroupWorker::setCombinedSolutionUniform(Task* t) {
   assert(combinedUniDSGVector_.size() != 0);
   assert(combiParametersSet_);
+  auto dfgEnsemble = t->getDFGEnsemble();
+  if (dfgEnsemble != nullptr) {
+    this->fillDFGEnsembleFromDSGUs(*dfgEnsemble);
+  } else {
+    int numGrids = static_cast<int>(combiParameters_
+                      .getNumGrids());  // we assume here that every task has the same number of grids
 
-  int numGrids = static_cast<int>(combiParameters_
-                     .getNumGrids());  // we assume here that every task has the same number of grids
-
-  for (int g = 0; g < numGrids; g++) {
-    assert(combinedUniDSGVector_[g] != NULL);
+    for (int g = 0; g < numGrids; g++) {
+      assert(combinedUniDSGVector_[g] != NULL);
 
-    // get handle to dfg
-    DistributedFullGrid<CombiDataType>& dfg = t->getDistributedFullGrid(g);
+      // get handle to dfg
+      DistributedFullGrid<CombiDataType>& dfg = t->getDistributedFullGrid(g);
 
-    DistributedHierarchization::fillDFGFromDSGU(dfg, *combinedUniDSGVector_[g], combiParameters_.getHierarchizationDims());
+      DistributedHierarchization::fillDFGFromDSGU(dfg, *combinedUniDSGVector_[g], combiParameters_.getHierarchizationDims());
+    }
   }
 }
 
 void ProcessGroupWorker::updateTaskWithCurrentValues(Task& taskToUpdate, size_t numGrids) {
-    for (int g = 0; g < numGrids; g++) {
+  auto dfgEnsemble = taskToUpdate.getDFGEnsemble();
+  if (dfgEnsemble != nullptr) {
+    this->fillDFGEnsembleFromDSGUs(*dfgEnsemble);
+  } else {
+    for (decltype(numGrids) g = 0; g < numGrids; g++) {
       // get handle to dfg
-      DistributedFullGrid<CombiDataType>& dfg = taskToUpdate.getDistributedFullGrid(g);
+      DistributedFullGrid<CombiDataType>& dfg = taskToUpdate.getDistributedFullGrid(static_cast<int>(g));
 
-      DistributedHierarchization::fillDFGFromDSGU(dfg, *combinedUniDSGVector_[g], combiParameters_.getHierarchizationDims());
+      DistributedHierarchization::fillDFGFromDSGU(dfg, *combinedUniDSGVector_[g],
+                                                  combiParameters_.getHierarchizationDims());
 
       // std::vector<CombiDataType> datavector(dfg.getElementVector());
       // afterCombi = datavector;
@@ -930,6 +967,20 @@ void ProcessGroupWorker::updateTaskWithCurrentValues(Task& taskToUpdate, size_t
       }
       */
     }
+  }
+}
+
+void ProcessGroupWorker::fillDFGEnsembleFromDSGUs(DFGEnsemble& dfgEnsemble){
+  auto numGrids = combiParameters_.getNumGrids();
+  assert(dfgEnsemble.getNumFullGrids() == static_cast<size_t>(numGrids));
+  for (decltype(numGrids) g = 0; g < numGrids; g++) {
+    auto& dfg = dfgEnsemble.getDFG(g);
+    // fill dfg with hierarchical coefficients from distributed sparse grid
+    dfg.extractFromUniformSG(*combinedUniDSGVector_[g]);
+  }
+
+  // dehierarchize dfg
+  DistributedHierarchization::dehierarchize(dfgEnsemble, combiParameters_.getHierarchizationDims());
 }
 
 } /* namespace combigrid */
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp
index 53bc4811f..c66ccece3 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp
@@ -115,7 +115,10 @@ class ProcessGroupWorker {
 
   /** helper functions for parallelEval and norm calculations*/
   LevelVector receiveLevalAndBroadcast();
+
   void fillDFGFromDSGU(DistributedFullGrid<CombiDataType>& dfg, IndexType g = 0);
+
+  void fillDFGEnsembleFromDSGUs(DFGEnsemble& dfgEnsemble);
 };
 
 inline Task* ProcessGroupWorker::getCurrentTask() { return currentTask_; }
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.cpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.cpp
index ea8f92e5d..76a791fe4 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.cpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.cpp
@@ -23,17 +23,18 @@ void ProcessManager::sortTasks(){
 bool ProcessManager::runfirst() {
   // sort instances in decreasing order
   sortTasks();
-
   assert(tasks_.size() >= pgroups_.size());
 
   for (size_t i = 0; i < tasks_.size(); ++i) {
     // wait for available process group
     ProcessGroupManagerID g = wait();
-
+    std::cout <<"ID:"<< tasks_[i]->getID() << std::endl;
     // assign instance to group
     g->runfirst(tasks_[i]);
   }
 
+  std::cout <<"this is the end"<< std::endl;
+
   bool group_failed = waitAllFinished();
   //size_t numDurationsToReceive = tasks_.size(); //TODO make work for failure
   receiveDurationsOfTasksFromGroupMasters(0);
@@ -66,12 +67,11 @@ bool ProcessManager::runnext() {
 
   assert(!group_failed && "runnext must not be called when there are failed groups");
 
-  for (size_t i = 0; i < pgroups_.size(); ++i) {
+  for (size_t i = 0; i < pgroups_.size(); ++i) {    
     pgroups_[i]->runnext();
   }
 
   group_failed = waitAllFinished();
-  
   //size_t numDurationsToReceive = tasks_.size(); //TODO make work for failure
   if(!group_failed)
     receiveDurationsOfTasksFromGroupMasters(0);
@@ -358,9 +358,9 @@ void ProcessManager::parallelEval(const LevelVector& leval, std::string& filenam
 
     assert(!fail && "should not fail here");
   }
-
+  std::cout<<"parallel in mansger";
   assert(groupID < pgroups_.size());
-
+  std::cout<<"parallel in mansger";
   auto g = pgroups_[groupID];
   g->parallelEval(leval, filename);
 
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.hpp
index ebad7d8e6..63989cc8c 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/manager/ProcessManager.hpp
@@ -193,7 +193,7 @@ inline FG_ELEMENT ProcessManager::eval(const std::vector<real>& coords) {
   }
 
   FG_ELEMENT res(0);
-
+  
   // call eval function of each process group
   for (size_t i = 0; i < pgroups_.size(); ++i) res += pgroups_[i]->eval(coords);
 
@@ -210,7 +210,6 @@ void ProcessManager::combine() {
   // wait until all process groups are in wait state
   // after sending the exit signal checking the status might not be possible
   size_t numWaiting = 0;
-
   while (numWaiting != pgroups_.size()) {
     numWaiting = 0;
 
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGrid.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGrid.hpp
index f74c37729..0ff540143 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGrid.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGrid.hpp
@@ -288,6 +288,8 @@ void DistributedSparseGrid<FG_ELEMENT>::setSizes() {
 
     // loop over all dimensions
     for (size_t j = 0; j < dim_; ++j) {
+
+      // if we have reached the lowest level, consider boundary points, too
       if (l[j] == 1 && boundary_[j]) {
         sizes[j] = (size_t(std::pow(2.0, real(l[j] - 1))) + size_t(2));
       } else {
@@ -295,9 +297,9 @@ void DistributedSparseGrid<FG_ELEMENT>::setSizes() {
       }
     }
 
-    IndexType tmp(1);
+    IndexType tmp = std::accumulate(sizes.begin(), sizes.end(), 1, std::multiplies<IndexType>());
 
-    for (auto s : sizes) tmp *= s;
+    // for (auto s : sizes) tmp *= s;
 
     subspaces_[i].dataSize_ = size_t(tmp);
   }
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp
index 83162ca5b..e9cb6a296 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/sparsegrid/DistributedSparseGridUniform.hpp
@@ -9,6 +9,7 @@
 
 #include <boost/serialization/vector.hpp>
 
+using namespace combigrid;
 
 /*
  * Instead of having private static functions, I put these functions in an
@@ -21,9 +22,9 @@ namespace {
 
 template <typename FG_ELEMENT>
 struct SubspaceSGU {
-  combigrid::LevelVector level_;
+  LevelVector level_;
 
-  combigrid::IndexVector sizes_;
+  IndexVector sizes_;
 
   size_t dataSize_;
 
@@ -111,6 +112,8 @@ class DistributedSparseGridUniform {
 
   inline int getCommunicatorSize() const;
 
+  void zeroOutSubspaces();
+
  private:
   void createLevels(DimType dim, const LevelVector& nmax, const LevelVector& lmin);
 
@@ -288,6 +291,18 @@ void DistributedSparseGridUniform<FG_ELEMENT>::setSizes() {
   }
 }
 
+template <typename FG_ELEMENT>
+void DistributedSparseGridUniform<FG_ELEMENT>::zeroOutSubspaces() {
+  #pragma omp parallel for schedule(dynamic,4)
+  for (size_t i = 0; i < subspaces_.size(); ++i) {
+    for (size_t j = 0; j < subspaces_[i].data_.size(); j++)
+    {
+      subspaces_[i].data_[j]=0;
+    }
+    
+  }
+}
+
 template <typename FG_ELEMENT>
 inline const LevelVector& DistributedSparseGridUniform<FG_ELEMENT>::getLevelVector(size_t i) const {
   return levels_[i];
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/task/Task.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/task/Task.hpp
index 05eb3856a..c6dbedd0b 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/task/Task.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/task/Task.hpp
@@ -9,6 +9,7 @@
 #include "sgpp/distributedcombigrid/fault_tolerance/FaultCriterion.hpp"
 #include "sgpp/distributedcombigrid/fault_tolerance/StaticFaults.hpp"
 #include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp"
 #include "sgpp/distributedcombigrid/fullgrid/FullGrid.hpp"
 #include "sgpp/distributedcombigrid/mpi/MPISystem.hpp"
 #include "sgpp/distributedcombigrid/utils/LevelVector.hpp"
@@ -49,12 +50,14 @@ class Task {
   inline const std::vector<bool>& getBoundary() const;
 
   inline int getID() const;
+  virtual size_t getDOFs(){return 1;};
 
   virtual void run(CommunicatorType lcomm) = 0;
 
   virtual void changeDir(CommunicatorType lcomm) {
     // do nothing
   }
+  
 
   virtual void init(CommunicatorType lcomm,
                     std::vector<IndexVector> decomposition = std::vector<IndexVector>()) = 0;
@@ -71,6 +74,9 @@ class Task {
   // This method returns the local part of the n-th distributedFullGrid
   virtual DistributedFullGrid<CombiDataType>& getDistributedFullGrid(int n = 0) = 0;
 
+  // return the number of grids in a given task; default is one
+  virtual size_t getNumGrids() {return 1;}
+
   virtual void setZero() = 0;
 
   // override if there is adaptive timestepping in the solver
@@ -94,6 +100,9 @@ class Task {
     return faultCriterion_->init(startTimeIteration, t_fault);
   }
 
+  // override if there is a DFG ensemble in the task
+  virtual DFGEnsemble* getDFGEnsemble() const { return nullptr; }
+
  private:
   friend class boost::serialization::access;
 
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Config.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Config.hpp
index 0c2aa323b..ffc8a9989 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Config.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Config.hpp
@@ -27,6 +27,14 @@ typedef double real;
 // the datatype for complex numbers will change accordingly. do not modify this.
 typedef std::complex<real> complex;
 
+/* set the datatype for the values stored in any type of grid. essentially you
+ * have two options: real values or complex numbers. other datatypes like int
+ * have not been tested and operations on the grids like evaluation or
+ * hierarchization might produce unexpected results.
+ */
+typedef real CombiDataType;
+// typedef complex CombiDataType;
+
 /* nonblocking mpi collective calls (MPI_Iallreduce and the likes) usually yield
  * better performance in some of the operations in CombiCom. if you observe
  * problems with these functions uncomment to fall back to blocking counterpart
@@ -66,7 +74,8 @@ typedef std::complex<real> complex;
 #endif
 #ifdef ISGENE
 	constexpr bool isGENE = true;    //TODO move this switch to a more sensible place
-	// todo static assert complex is combidatatype
+	// running gene requires complex numbers for combination
+	static_assert(std::is_same<CombiDataType, complex>::value);
 #else
 	constexpr bool isGENE = false;
 #endif
diff --git a/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Stats.hpp b/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Stats.hpp
index f384a2e00..df315dedc 100644
--- a/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Stats.hpp
+++ b/distributedcombigrid/src/sgpp/distributedcombigrid/utils/Stats.hpp
@@ -14,7 +14,7 @@
 #include "sgpp/distributedcombigrid/mpi/MPISystem.hpp"
 
 /* comment this line to switch of timing */
-//#define TIMING
+#define TIMING
 
 namespace combigrid {
 
@@ -97,7 +97,7 @@ class Stats {
   static std::unordered_map<std::string, std::string> attributes_;
 };
 
-#ifdef TIMING
+//#ifdef TIMING
 inline void Stats::initialize() {
   assert(!initialized_);
 
@@ -222,7 +222,7 @@ inline void Stats::write(const std::string& path, CommunicatorType comm) {
   MPI_File_write_at_all(fh, pos, buffer.str().c_str(), (int)len, MPI_CHAR, MPI_STATUS_IGNORE);
   MPI_File_close(&fh);
 }
-#else
+/*#else
 inline void Stats::initialize() {}
 inline void Stats::finalize() {}
 inline void Stats::startEvent(const std::string& name) {
@@ -230,7 +230,7 @@ inline void Stats::startEvent(const std::string& name) {
 }
 inline void Stats::setAttribute(const std::string& name, const std::string& value) {}
 inline void Stats::write(const std::string& path, CommunicatorType comm) {}
-#endif
+#endif */
 
 inline const Stats::Event Stats::stopEvent(const std::string& name) {
   // check if event is not stopped already
diff --git a/distributedcombigrid/tests/test_distributedfullgrid.cpp b/distributedcombigrid/tests/test_distributedfullgrid.cpp
index 16c9d6221..a6890f924 100644
--- a/distributedcombigrid/tests/test_distributedfullgrid.cpp
+++ b/distributedcombigrid/tests/test_distributedfullgrid.cpp
@@ -31,8 +31,38 @@ class TestFn {
   }
 };
 
-void checkDistributedFullgrid(LevelVector& levels, IndexVector& procs, std::vector<bool>& boundary,
+template <typename dfgTestCombiType>
+void compareResults(const DimType dim, DistributedFullGrid<dfgTestCombiType>& dfg,
+                    DistributedFullGrid<dfgTestCombiType>& dfg2) {
+  for (IndexType li = 0; li < dfg.getNrLocalElements(); ++li) {
+    std::vector<double> coords(dim);
+    dfg.getCoordsLocal(li, coords);
+    BOOST_TEST(2.1 * dfg.getData()[li] == dfg2.getData()[li]);
+  }
+}
+
+template <typename dfgTestCombiType>
+void testGatherFullGrid(LevelVector& levels, std::vector<bool>& boundary, TestFn f,
+                        DistributedFullGrid<dfgTestCombiType>& dfg, CommunicatorType comm) {
+  const DimType dim = levels.size();
+
+  // test gatherFullgrid
+  FullGrid<std::complex<double>> fg(dim, levels, boundary);
+  dfg.gatherFullGrid(fg, 0);
+
+  // only check on rank 0
+  if (TestHelper::getRank(comm) == 0) {
+    for (size_t i = 0; i < static_cast<size_t>(fg.getNrElements()); ++i) {
+      std::vector<double> coords(dim);
+      fg.getCoords(i, coords);
+      BOOST_TEST(fg.getData()[i] == f(coords));
+    }
+  }
+}
+
+void checkDistributedFullgridLinDG(LevelVector& levels, IndexVector& procs, std::vector<bool>& boundary,
                               int size, bool forward = false) {
+  using dfgTestCombiType = std::complex<double>;
   CommunicatorType comm = TestHelper::getComm(size);
   if (comm == MPI_COMM_NULL) return;
 
@@ -44,7 +74,7 @@ void checkDistributedFullgrid(LevelVector& levels, IndexVector& procs, std::vect
   const DimType dim = levels.size();
 
   // create dfg
-  DistributedFullGrid<std::complex<double>> dfg(dim, levels, comm, boundary, procs, forward);
+  DistributedFullGrid<dfgTestCombiType> dfg(dim, levels, comm, boundary, procs, forward);
 
   IndexType nrElements = 1;
   for (DimType d = 0; d < dim; ++d) {
@@ -65,17 +95,56 @@ void checkDistributedFullgrid(LevelVector& levels, IndexVector& procs, std::vect
   for (DimType d = 0; d < dim; ++d) {
     lmax[d] *= 2;
   }
-  DistributedSparseGridUniform<std::complex<double>> dsg(dim, lmax, lmin, boundary, comm);
+
+  DistributedSparseGridUniform<dfgTestCombiType> dsg(dim, lmax, lmin, boundary, comm);
   dfg.addToUniformSG(dsg, 2.1);
-  DistributedFullGrid<std::complex<double>> dfg2(dim, levels, comm, boundary, procs, forward);
+  DistributedFullGrid<dfgTestCombiType> dfg2(dim, levels, comm, boundary, procs, forward);
   dfg2.extractFromUniformSG(dsg);
 
+  compareResults(dim, dfg, dfg2);
+  testGatherFullGrid(levels, boundary, f, dfg, comm);
+}
+
+void checkDistributedFullgrid(LevelVector& levels, IndexVector& procs, std::vector<bool>& boundary,
+                              int size, bool forward = false) {
+  using dfgTestCombiType = std::complex<double>;
+  CommunicatorType comm = TestHelper::getComm(size);
+  if (comm == MPI_COMM_NULL) return;
+
+  TestFn f;
+  const DimType dim = levels.size();
+
+  // create dfg
+  DistributedFullGrid<dfgTestCombiType> dfg(dim, levels, comm, boundary, procs, forward);
+
+  IndexType nrElements = 1;
+  for (DimType d = 0; d < dim; ++d) {
+    nrElements *= (1 << levels[d]) + (boundary[d] ? 1 : -1);
+  }
+  BOOST_CHECK(nrElements == dfg.getNrElements());
+
+  // set function values
   for (IndexType li = 0; li < dfg.getNrLocalElements(); ++li) {
     std::vector<double> coords(dim);
     dfg.getCoordsLocal(li, coords);
-    BOOST_TEST(2.1 * dfg.getData()[li] == dfg2.getData()[li]);
+    dfg.getData()[li] = f(coords);
+  }
+
+  // test addToUniformSG, extractFromUniformSG
+  LevelVector lmin = levels;
+  LevelVector lmax = levels;
+  for (DimType d = 0; d < dim; ++d) {
+    lmax[d] *= 2;
   }
 
+  DistributedSparseGridUniform<dfgTestCombiType> dsg(dim, lmax, lmin, boundary, comm);
+  dfg.addToUniformSG(dsg, 2.1);
+  DistributedFullGrid<dfgTestCombiType> dfg2(dim, levels, comm, boundary, procs, forward);
+  dfg2.extractFromUniformSG(dsg);
+
+  compareResults(dim, dfg, dfg2);
+  testGatherFullGrid(levels, boundary, f, dfg, comm);
+
   if (TestHelper::getRank(comm) == 0) {
     std::cout << "test distributedfullgrid norm " << levels << procs << std::endl;
   }
@@ -131,19 +200,6 @@ void checkDistributedFullgrid(LevelVector& levels, IndexVector& procs, std::vect
     }
   }
 
-  // test gatherFullgrid
-  FullGrid<std::complex<double>> fg(dim, levels, boundary);
-  dfg.gatherFullGrid(fg, 0);
-
-  // only check on rank 0
-  if (TestHelper::getRank(comm) == 0) {
-    for (size_t i = 0; i < static_cast<size_t>(fg.getNrElements()); ++i) {
-      std::vector<double> coords(dim);
-      fg.getCoords(i, coords);
-      BOOST_TEST(fg.getData()[i] == f(coords));
-    }
-  }
-
   // std::stringstream ss;
   // ss << "test_dfg_" << levels << procs << boundary << forward << ".vtk";
   // dfg.writePlotFileVTK(ss.str().c_str());
diff --git a/distributedcombigrid/tests/test_ftolerance.cpp b/distributedcombigrid/tests/test_ftolerance.cpp
index dc2b1de05..8b0871521 100644
--- a/distributedcombigrid/tests/test_ftolerance.cpp
+++ b/distributedcombigrid/tests/test_ftolerance.cpp
@@ -18,7 +18,7 @@
 #include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
 #include "sgpp/distributedcombigrid/fullgrid/FullGrid.hpp"
 #include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
-#include "sgpp/distributedcombigrid/loadmodel/LearningLoadModel.hpp"
+#include "sgpp/distributedcombigrid/loadmodel/AveragingLoadModel.hpp"
 #include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
 #include "sgpp/distributedcombigrid/manager/ProcessGroupManager.hpp"
 #include "sgpp/distributedcombigrid/manager/ProcessGroupWorker.hpp"
@@ -256,7 +256,7 @@ void checkFtolerance(bool useCombine, bool useFG, double l0err, double l2err, si
 
   BOOST_REQUIRE(true); //if things go wrong weirdly, see where things go wrong
 
-  #ifdef TIMING
+#ifdef TIMING
     std::unique_ptr<LoadModel> loadmodel = std::unique_ptr<LinearLoadModel>(new LinearLoadModel());
 #else // TIMING
     std::unique_ptr<LoadModel> loadmodel = std::unique_ptr<LinearLoadModel>(new LinearLoadModel());
diff --git a/distributedcombigrid/tests/test_hierarchization.cpp b/distributedcombigrid/tests/test_hierarchization.cpp
index d9ea62d4e..f40e59917 100644
--- a/distributedcombigrid/tests/test_hierarchization.cpp
+++ b/distributedcombigrid/tests/test_hierarchization.cpp
@@ -7,6 +7,7 @@
 #include <vector>
 
 #include "sgpp/distributedcombigrid/fullgrid/DistributedFullGrid.hpp"
+#include "sgpp/distributedcombigrid/fullgrid/DistributedFullGridEnsemble.hpp"
 #include "sgpp/distributedcombigrid/fullgrid/FullGrid.hpp"
 #include "sgpp/distributedcombigrid/hierarchization/DistributedHierarchization.hpp"
 #include "sgpp/distributedcombigrid/hierarchization/Hierarchization.hpp"
@@ -132,6 +133,11 @@ class TestFn_3 {
 template <typename Functor>
 void checkHierarchization(Functor& f, LevelVector& levels, IndexVector& procs,
                           std::vector<bool>& boundary, int size, bool forward = false) {
+
+  if (std::all_of(boundary.begin(), boundary.end(), [](bool i){return i;})) {
+    checkHierarchizationEnsemble(f, levels, procs, boundary, size, forward);
+  }
+
   CommunicatorType comm = TestHelper::getComm(size);
   if (comm == MPI_COMM_NULL) return;
 
@@ -193,11 +199,80 @@ void checkHierarchization(Functor& f, LevelVector& levels, IndexVector& procs,
   }
 }
 
+template <typename Functor>
+void checkHierarchizationEnsemble(Functor& f, LevelVector& levels, IndexVector& procs,
+                          std::vector<bool>& boundary, int size, bool forward = false) {
+  CommunicatorType comm = TestHelper::getComm(size);
+  if (comm == MPI_COMM_NULL) return;
+
+  const DimType dim = levels.size();
+
+  // create distributed fg and fill with test function
+  DFGEnsemble dfgEnsemble(dim, levels, comm, boundary, procs, forward);
+  for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+    auto& dfg = dfgEnsemble.getDFG(i);
+    // real offset = std::pow(GridEnumeration::getNumberOfHigherDimensions(i), dim);
+    real offset = GridEnumeration::getNumberOfHigherDimensions(i);
+    for (IndexType li = 0; li < dfg.getNrLocalElements(); ++li) {
+      std::vector<double> coords(dim);
+      dfg.getCoordsLocal(li, coords);
+      dfg.getData()[li] = f(coords).real() + offset;
+    }
+  }
+
+  for (DimType d = 0; d < dim; ++d) {
+    std::vector<bool> hierarchizationDims(dim, false);
+    hierarchizationDims[d] = true;
+    // hierarchize in dimension d
+    DistributedHierarchization::hierarchize(dfgEnsemble, hierarchizationDims);
+
+    // compare hierarchical surpluses
+    // compare distributed fgs pairwise in each dimension
+    // the "higher" grid should always have a coefficient 1. higher
+    // (cf how we set the offset above)
+    auto lowerIndices = dfgEnsemble.getIndicesOfLowerGridsInDimension(d);
+    for (auto& index : lowerIndices) {
+      auto& dfgLower = dfgEnsemble.getDFG(index);
+      auto& dfgHigher = dfgEnsemble.getDFG(GridEnumeration::getUpperNeighborInDimension(static_cast<char>(d), index));
+      real offset = GridEnumeration::getNumberOfHigherDimensions(index);
+      for (IndexType li = 0; li < dfgLower.getNrLocalElements(); ++li) {
+        BOOST_TEST(dfgLower.getData()[li] + 1. == dfgHigher.getData()[li] , boost::test_tools::tolerance(TestHelper::tolerance));
+      }
+    }
+
+    // dehierarchize
+    DistributedHierarchization::dehierarchize(dfgEnsemble, hierarchizationDims);
+  }
+
+  // compare function values
+  for (size_t i = 0; i < dfgEnsemble.getNumFullGrids(); ++i) {
+  // for (size_t i = 0; i < 1; ++i) {
+    auto& dfg = dfgEnsemble.getDFG(i);
+    real offset = GridEnumeration::getNumberOfHigherDimensions(i);
+    for (IndexType li = 0; li < dfg.getNrLocalElements(); ++li) {
+      std::vector<double> coords_dfg(dim);
+      dfg.getCoordsLocal(li, coords_dfg);
+      // compare distributed fg to exact solution
+      BOOST_TEST(dfg.getData()[li] == f(coords_dfg).real() + offset, boost::test_tools::tolerance(TestHelper::tolerance));
+    }
+  }
+}
+
 BOOST_AUTO_TEST_SUITE(hierarchization)
 
 // with boundary
 // isotropic
 
+
+BOOST_AUTO_TEST_CASE(test_ensemble_minus1) {
+  BOOST_REQUIRE(TestHelper::checkNumMPIProcsAvailable(1));
+  LevelVector levels = {4, 4, 4};
+  IndexVector procs = {1, 1, 1};
+  std::vector<bool> boundary(3, true);
+  TestFn_1 testFn(levels);
+  checkHierarchizationEnsemble(testFn, levels, procs, boundary, 1);
+}
+
 BOOST_AUTO_TEST_CASE(test_1) {
   BOOST_REQUIRE(TestHelper::checkNumMPIProcsAvailable(8));
   LevelVector levels = {4, 4, 4};
diff --git a/distributedcombigrid/tools/errorCalc.cpp b/distributedcombigrid/tools/errorCalc.cpp
index 3dab289ef..86b3febd1 100644
--- a/distributedcombigrid/tools/errorCalc.cpp
+++ b/distributedcombigrid/tools/errorCalc.cpp
@@ -23,75 +23,91 @@ real l2Norm(std::vector<CombiDataType>& data);
 
 int main(int argc, char** argv) {
   std::cout << argc << "\n";
-  assert(argc == 6);
+  assert(argc == 7);
 
   // mode normalize abs : either normalize w.r.t. l2 Norm of grids, or don't
   char* mode = argv[1];
-
-  // files
-  std::string filenameLeft(argv[2]);
-  std::string filenameRight(argv[3]);
-  std::string filenameError(argv[4]);
-  std::string prefix(argv[5]);
-
-  std::vector<CombiDataType> data1;
-  std::vector<CombiDataType> data2;
-
-  IndexVector res1;
-  IndexVector res2;
-
-  // get data and res of first file
-  readPlotFile(filenameLeft.c_str(), data1, res1);
-
-  // get data and res of second file
-  readPlotFile(filenameRight.c_str(), data2, res2);
-
-  // check sizes
-  assert(data1.size() == data2.size());
-  assert(res1 == res2);
-
-  // normalize with l2 norm
-  real l2norm1 = l2Norm(data1);
-  real l2norm2 = l2Norm(data2);
-  std::cout << "l2 norm grid 1: " << l2norm1 << " l2 norm grid 2: " << l2norm2 << "\n";
-
-  real tmp1 = 1.0 / l2norm1;
-    real tmp2 = 1.0 / l2norm2;
-  if (mode[0] == 'n') {
-    for (auto i = 0; i < data1.size(); ++i) data1[i] *= tmp1;
-    for (auto i = 0; i < data2.size(); ++i) data2[i] *= tmp2;
-  } else if (mode[0] == 'a') {
-    ;
-  } else {
-    assert(!"wrong parameter");
+  std::cout<<argv[6];
+  int max=0;
+  std::string mode_(argv[6]);
+  if(mode_=="DG"){
+    std::cout<< "Ich bin DG Fehler";
+    max=7;
   }
-//   for( auto i=0; i<data1.size(); ++i ){
-//     std::cout << data1[i] << " ";
-//   }
-//   std::cout << "\n data2";
-//   for( auto i=0; i<data2.size(); ++i ){
-//     std::cout << data2[i] << " ";
-//   }
-//   std::cout << "\n";
-
-  // calc l2 norm of values
-  real err = 0.0;
-  for (auto i = 0; i < data1.size(); ++i) {
-    real tmp = std::abs(data1[i] - data2[i]);
-
-    if (std::abs(tmp) / std::abs(data1[i]) > 1e-12)
-      std::cout << " i: " << i << " values: " << std::abs(data2[i]) << " " << std::abs(data1[i]) << " ";
-    err += tmp * tmp;
+  real meanerr=0.0;
+    std::string prefix(argv[5]);
+    std::string filenameError(argv[4]);
+  for(int suffix=0;suffix<=max;suffix++){
+    // files
+    std::string filenameLeft(argv[2]);
+    std::string filenameRight(argv[3]);
+
+    std::vector<CombiDataType> data1;
+    std::vector<CombiDataType> data2;
+
+    IndexVector res1;
+    IndexVector res2;
+
+    // get data and res of first file +std::to_string(suffix)).c_str()
+    readPlotFile(filenameLeft.c_str(), data1, res1);
+
+    // get data and res of second file +std::to_string(suffix)).c_str()
+    readPlotFile(filenameRight.c_str(), data2, res2);
+
+    // check sizes
+    assert(data1.size() == data2.size());
+    assert(res1 == res2);
+
+    // normalize with l2 norm
+    real l2norm1 = l2Norm(data1);
+    real l2norm2 = l2Norm(data2);
+    std::cout << "l2 norm grid 1: " << l2norm1 << " l2 norm grid 2: " << l2norm2 << "\n";
+
+    real tmp1 = 1.0 / l2norm1;
+      real tmp2 = 1.0 / l2norm2;
+    if (mode[0] == 'n') {
+      for (auto i = 0; i < data1.size(); ++i) data1[i] *= tmp1;
+      for (auto i = 0; i < data2.size(); ++i) data2[i] *= tmp2;
+    } else if (mode[0] == 'a') {
+      ;
+    } else {
+      assert(!"wrong parameter");
+    }
+  //   for( auto i=0; i<data1.size(); ++i ){
+  //     std::cout << data1[i] << " ";
+  //   }
+  //   std::cout << "\n data2";
+  //   for( auto i=0; i<data2.size(); ++i ){
+  //     std::cout << data2[i] << " ";
+  //   }
+  //   std::cout << "\n";
+
+    // calc l2 norm of values
+    real err = 0.0;
+    for (auto i = 0; i < data1.size(); ++i) {
+      real tmp = std::abs(data1[i] - data2[i]);
+
+      // if (std::abs(tmp) / std::abs(data1[i]) > 1e-12)
+      //   std::cout << " i: " << i << " values: " << std::abs(data2[i]) << " " << std::abs(data1[i]) << " ";
+      err += tmp * tmp;
+    }
+    int points=1;
+    for (auto i=0;i<res1.size();++i)
+      points*=res1[i];
+    std::cout<<"Points:"<<points << std::endl;
+
+    std::cout << "\n";
+    err = std::sqrt(err);
+    err/=points;
+    meanerr+=err;
   }
-  std::cout << "\n";
-  err = std::sqrt(err);
   // open file in append mode
   std::ofstream ofs(filenameError.c_str(), std::ofstream::app);
 
   // write prefix and err
-  ofs << prefix << " " << err << std::endl;
+  ofs << prefix << " " << meanerr/(max+1) << std::endl;
 
-  std::cout << "error " << err << std::endl;
+  std::cout << "error " << meanerr/(max+1) << std::endl;
 
   return 0;
 }
diff --git a/distributedcombigrid/tools/plot.py b/distributedcombigrid/tools/plot.py
index f53be93d4..6bc1542b0 100755
--- a/distributedcombigrid/tools/plot.py
+++ b/distributedcombigrid/tools/plot.py
@@ -318,7 +318,8 @@ def bar_plot_groups(data, groups):
     else:
         raise ValueError("invalid type number")
 
-    plt.tight_layout()
-    plt.show()
+    #plt.tight_layout()
+    #plt.show()
+    plt.savefig("tset.png")
 except Exception as err:
     print("Error: " + str(err))
diff --git a/readme.md b/readme.md
new file mode 100644
index 000000000..24006cae7
--- /dev/null
+++ b/readme.md
@@ -0,0 +1,49 @@
+# hyper.deal for discontinous Galerkin Combination Technique
+
+## Authors
+
+* Peter Munch @ga69jux
+* Katharina Kormann @ne65nib
+* Martin Kronbichler @ne96pad
+
+## Installation
+
+```bash
+# get the matrixfree-branch of deal.II
+git clone https://gitlab.lrz.de/ga69jux/matrixfree.git
+cd matrixfree 
+git checkout for_hyperdeal
+cd ..
+
+# get and build metis
+git clone https://github.com/scibuilder/metis.git
+cd metis
+cmake .
+make 
+cd ..
+
+# get and build p4est
+wget http://p4est.github.io/release/p4est-2.0.tar.gz
+matrixfree/doc/external-libs/p4est-setup.sh p4est-2.0.tar.gz `pwd`
+
+cd matrixfree
+git checkout 095600820d999db798a43530662d384425bd4db0
+cd ../matrixfree-build/
+cmake -D CMAKE_CXX_FLAGS="-std=c++17 -march=native"     -D DEAL_II_CXX_FLAGS_RELEASE="-std=c++17 -O3"     -D CMAKE_BUILD_TYPE="DebugRelease"     -D CMAKE_INSTALL_PREFIX="../matrixfree-install/"     -D DEAL_II_WITH_MPI="ON"   -D DEAL_II_WITH_LAPACK="ON"   -D DEAL_II_WITH_THREADS="OFF"   -D DEAL_II_WITH_P4EST="ON"   -D P4EST_DIR="../FAST"   -D DEAL_II_WITH_METIS:BOOL="ON"   -D METIS_DIR:FILEPATH="../metis" -D  ../matrixfree
+make install
+cd ../hyper.deal.combi
+git checkout d91fc0731e6ce855660b7a5d0a8092cc6ce63461
+git patch /home/sgsscratch/hyperdeal.patch
+cd ../hyper.deal.combi-build
+cmake ../hyper.deal.combi -D DEAL_II_DIR=../matrixfree-install -D CMAKE_CXX_FLAGS="-std=c++17 -O3" -D CMAKE_CXX_COMPILER="mpicxx"
+make release
+cd applications/advection_reference_dealii
+make 
+ins compile.sh noch DOC=0 hinzufügen
+Discotec branch projektarbeit
+. ./compile.sh
+export LD_LIBRARY_PATH=/usr/lib/x86_64-linux-gnu/libboost_serialization.so:/home/sgsscratch/goehrims/matrixfree-install/lib:/home/sgsscratch/goehrims/DisCoTec/lib/sgpp:/home/sgsscratch/goehrims/DisCoTec/glpk/lib
+cd distributedcombigrid/examples/dealii_example
+make
+cd ../../tools/
+make
\ No newline at end of file
diff --git a/setup.py b/setup.py
index dcc32269f..a44f9a432 100644
--- a/setup.py
+++ b/setup.py
@@ -8,7 +8,7 @@
 libpath = os.path.join("lib", "pysgpp")
 
 # list of all available modules -> all folders in the root directory
-moduleFolders = [filename for filename in os.listdir(".")
+moduleFolders = [filename for filename in os.listdir("../")
                  if os.path.isdir(filename)]
 
 # select the ones which have a python extension
diff --git a/ss b/ss
new file mode 100644
index 000000000..18b43ca69
--- /dev/null
+++ b/ss
@@ -0,0 +1,1643 @@
+commit 88d37a7e6f5e302d8ef562cca0b3abb58a7beaa2
+Author: Marius Goehring <goehrims@ipvs.uni-stuttgart.de>
+Date:   Sun Sep 15 21:25:34 2019 +0200
+
+    new Class DataConverter
+
+diff --git a/compile.sh b/compile.sh
+index 4ec902b..43146e3 100755
+--- a/compile.sh
++++ b/compile.sh
+@@ -1,2 +1,2 @@
+-scons -j 8 SG_ALL=0 SG_DISTRIBUTEDCOMBIGRID=1 VERBOSE=1 RUN_BOOST_TESTS=1 RUN_CPPLINT=0 BUILD_STATICLIB=0 CC=mpicc.mpich FC=mpifort.mpich CXX=mpicxx.mpich OPT=1 TIMING=0 UNIFORMDECOMPOSITION=1 #DEBUG_OUTPUT=1
++scons -j 8 SG_ALL=1 SG_DISTRIBUTEDCOMBIGRID=1 VERBOSE=1 RUN_BOOST_TESTS=0 RUN_CPPLINT=0 BUILD_STATICLIB=0 CC=mpicc.mpich FC=mpifort.mpich CXX=mpicxx.mpich OPT=1 TIMING=0 UNIFORMDECOMPOSITION=1 #DEBUG_OUTPUT=1
+ 
+diff --git a/distributedcombigrid/examples/combi_example/DataConverter.cpp b/distributedcombigrid/examples/combi_example/DataConverter.cpp
+new file mode 100644
+index 0000000..dc7b7f9
+--- /dev/null
++++ b/distributedcombigrid/examples/combi_example/DataConverter.cpp
+@@ -0,0 +1,62 @@
++#include <string>
++#include <vector>
++#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
++
++#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
++#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
++#include <boost/property_tree/ptree.hpp>
++#include <boost/property_tree/json_parser.hpp>
++
++#include "sgpp/distributedcombigrid/utils/Types.hpp"
++#include "DataConverter.hpp"
++#include "../../../tools/json.hpp"
++
++using namespace combigrid;
++
++
++
++    void Converter::readFile(DimType dim,LevelVector lmin, LevelVector lmax, LevelVector leval, IndexVector p,size_t ncombi, std::vector<bool> boundary){
++        namespace pt = boost::property_tree;
++
++        // Create a root
++        pt::ptree root;
++
++        // Load the json file in this ptree
++        try{
++            pt::read_json(_fileName, root);
++            int dimx=root.get<int>("General.DimX");
++            int dimv=root.get<int>("General.DimV");
++            dim*=dimx+dimv;
++
++            //lmax:
++            int refineX=root.get<int>("Case.NRefinementsX");
++            int refineY=root.get<int>("Case.NRefinementsY");
++            int subX=root.get<int>("Case.NSubdivisionsX");
++            int subV=root.get<int>("Case.NSubdivisionsV");
++
++            //lmin:
++
++
++            //ncombi?:
++
++            //p for partitions
++            int partX=root.get<int>("General.PartitionX");
++            int partY=root.get<int>("General.PartitionY");
++
++            //boundary
++            bool periodicX=root.get<bool>("Case.PeriodicX",true);
++            bool periodicV=root.get<bool>("Case.PeriodicV",true);
++
++            leval =lmax;
++        }
++        catch(pt::json_parser::json_parser_error error){
++
++        }
++        catch(...){
++
++        }
++    }
++    void Converter::print(){
++        std::cout << "Name:" <<_fileName;
++    }
++
+diff --git a/distributedcombigrid/examples/combi_example/DataConverter.hpp b/distributedcombigrid/examples/combi_example/DataConverter.hpp
+new file mode 100644
+index 0000000..5918400
+--- /dev/null
++++ b/distributedcombigrid/examples/combi_example/DataConverter.hpp
+@@ -0,0 +1,32 @@
++/*
++this function reads in the data from a json file formated like that one from hyperdeal and returns the data 
++we need for a Combi
++
++*/
++
++#ifndef DATACONVERTER_H
++#define DATACONVERTER_H
++
++#include <string>
++#include <vector>
++#include "sgpp/distributedcombigrid/combischeme/CombiMinMaxScheme.hpp"
++
++#include "sgpp/distributedcombigrid/loadmodel/LinearLoadModel.hpp"
++#include "sgpp/distributedcombigrid/manager/CombiParameters.hpp"
++
++#include "sgpp/distributedcombigrid/utils/Types.hpp"
++
++using namespace combigrid;
++
++class Converter{
++    public:
++    Converter(std::string filename):_fileName(filename){};
++    Converter();
++    void print();
++    //reads the data from the file and stores it in the given variables.
++    void readFile(DimType dim,LevelVector lmin, LevelVector lmax, LevelVector leval, IndexVector p,size_t ncombi, std::vector<bool> boundary);
++
++    private:
++    const std::string _fileName;
++};
++#endif
+\ No newline at end of file
+diff --git a/distributedcombigrid/examples/combi_example/combi_example b/distributedcombigrid/examples/combi_example/combi_example
+new file mode 100755
+index 0000000..fcfd569
+Binary files /dev/null and b/distributedcombigrid/examples/combi_example/combi_example differ
+diff --git a/distributedcombigrid/examples/combi_example/combi_example.cpp b/distributedcombigrid/examples/combi_example/combi_example.cpp
+index 06e7d3a..6f637b1 100644
+--- a/distributedcombigrid/examples/combi_example/combi_example.cpp
++++ b/distributedcombigrid/examples/combi_example/combi_example.cpp
+@@ -26,6 +26,8 @@
+ #include "sgpp/distributedcombigrid/utils/Types.hpp"
+ // include user specific task. this is the interface to your application
+ #include "TaskExample.hpp"
++#include "DataConverter.cpp"
++#include "DataConverter.hpp"
+ 
+ using namespace combigrid;
+ 
+@@ -83,6 +85,8 @@ int main(int argc, char** argv) {
+     dt = cfg.get<combigrid::real>("application.dt");
+     nsteps = cfg.get<size_t>("application.nsteps");
+ 
++    Converter converter("ct.param");
++    converter.print();
+     // TODO: read in boundary vector from ctparam
+     std::vector<bool> boundary(dim, true);
+ 
+diff --git a/distributedcombigrid/examples/combi_example/ctparam b/distributedcombigrid/examples/combi_example/ctparam
+index 29e5624..e3927c0 100644
+--- a/distributedcombigrid/examples/combi_example/ctparam
++++ b/distributedcombigrid/examples/combi_example/ctparam
+@@ -4,7 +4,7 @@ lmin = 3 3
+ lmax = 10 10  
+ leval = 5 5 
+ p = 1 1
+-ncombi = 10 t
++ncombi = 10
+ 
+ [application]
+ dt = 1e-3
+diff --git a/lib/__init__.py b/lib/__init__.py
+new file mode 100644
+index 0000000..e69de29
+diff --git a/lib/pysgpp/__init__.py b/lib/pysgpp/__init__.py
+new file mode 100644
+index 0000000..65d4f85
+--- /dev/null
++++ b/lib/pysgpp/__init__.py
+@@ -0,0 +1,2 @@
++from pysgpp_swig import *
++import extensions
+diff --git a/lib/pysgpp/extensions/__init__.py b/lib/pysgpp/extensions/__init__.py
+new file mode 100644
+index 0000000..e69de29
+diff --git a/tools/json.hpp b/tools/json.hpp
+new file mode 100644
+index 0000000..2a32a82
+--- /dev/null
++++ b/tools/json.hpp
+@@ -0,0 +1,22684 @@
++/*
++    __ _____ _____ _____
++ __|  |   __|     |   | |  JSON for Modern C++
++|  |  |__   |  |  | | | |  version 3.7.0
++|_____|_____|_____|_|___|  https://github.com/nlohmann/json
++
++Licensed under the MIT License <http://opensource.org/licenses/MIT>.
++SPDX-License-Identifier: MIT
++Copyright (c) 2013-2019 Niels Lohmann <http://nlohmann.me>.
++
++Permission is hereby  granted, free of charge, to any  person obtaining a copy
++of this software and associated  documentation files (the "Software"), to deal
++in the Software  without restriction, including without  limitation the rights
++to  use, copy,  modify, merge,  publish, distribute,  sublicense, and/or  sell
++copies  of  the Software,  and  to  permit persons  to  whom  the Software  is
++furnished to do so, subject to the following conditions:
++
++The above copyright notice and this permission notice shall be included in all
++copies or substantial portions of the Software.
++
++THE SOFTWARE  IS PROVIDED "AS  IS", WITHOUT WARRANTY  OF ANY KIND,  EXPRESS OR
++IMPLIED,  INCLUDING BUT  NOT  LIMITED TO  THE  WARRANTIES OF  MERCHANTABILITY,
++FITNESS FOR  A PARTICULAR PURPOSE AND  NONINFRINGEMENT. IN NO EVENT  SHALL THE
++AUTHORS  OR COPYRIGHT  HOLDERS  BE  LIABLE FOR  ANY  CLAIM,  DAMAGES OR  OTHER
++LIABILITY, WHETHER IN AN ACTION OF  CONTRACT, TORT OR OTHERWISE, ARISING FROM,
++OUT OF OR IN CONNECTION WITH THE SOFTWARE  OR THE USE OR OTHER DEALINGS IN THE
++SOFTWARE.
++*/
++
++#ifndef INCLUDE_NLOHMANN_JSON_HPP_
++#define INCLUDE_NLOHMANN_JSON_HPP_
++
++#define NLOHMANN_JSON_VERSION_MAJOR 3
++#define NLOHMANN_JSON_VERSION_MINOR 7
++#define NLOHMANN_JSON_VERSION_PATCH 0
++
++#include <algorithm> // all_of, find, for_each
++#include <cassert> // assert
++#include <ciso646> // and, not, or
++#include <cstddef> // nullptr_t, ptrdiff_t, size_t
++#include <functional> // hash, less
++#include <initializer_list> // initializer_list
++#include <iosfwd> // istream, ostream
++#include <iterator> // random_access_iterator_tag
++#include <memory> // unique_ptr
++#include <numeric> // accumulate
++#include <string> // string, stoi, to_string
++#include <utility> // declval, forward, move, pair, swap
++#include <vector> // vector
++
++// #include <nlohmann/adl_serializer.hpp>
++
++
++#include <utility>
++
++// #include <nlohmann/detail/conversions/from_json.hpp>
++
++
++#include <algorithm> // transform
++#include <array> // array
++#include <ciso646> // and, not
++#include <forward_list> // forward_list
++#include <iterator> // inserter, front_inserter, end
++#include <map> // map
++#include <string> // string
++#include <tuple> // tuple, make_tuple
++#include <type_traits> // is_arithmetic, is_same, is_enum, underlying_type, is_convertible
++#include <unordered_map> // unordered_map
++#include <utility> // pair, declval
++#include <valarray> // valarray
++
++// #include <nlohmann/detail/exceptions.hpp>
++
++
++#include <exception> // exception
++#include <stdexcept> // runtime_error
++#include <string> // to_string
++
++// #include <nlohmann/detail/input/position_t.hpp>
++
++
++#include <cstddef> // size_t
++
++namespace nlohmann
++{
++namespace detail
++{
++/// struct to capture the start position of the current token
++struct position_t
++{
++    /// the total number of characters read
++    std::size_t chars_read_total = 0;
++    /// the number of characters read in the current line
++    std::size_t chars_read_current_line = 0;
++    /// the number of lines read
++    std::size_t lines_read = 0;
++
++    /// conversion to size_t to preserve SAX interface
++    constexpr operator size_t() const
++    {
++        return chars_read_total;
++    }
++};
++
++} // namespace detail
++} // namespace nlohmann
++
++// #include <nlohmann/detail/macro_scope.hpp>
++
++
++#include <utility> // pair
++// #include <nlohmann/thirdparty/hedley/hedley.hpp>
++/* Hedley - https://nemequ.github.io/hedley
++ * Created by Evan Nemerson <evan@nemerson.com>
++ *
++ * To the extent possible under law, the author(s) have dedicated all
++ * copyright and related and neighboring rights to this software to
++ * the public domain worldwide. This software is distributed without
++ * any warranty.
++ *
++ * For details, see <http://creativecommons.org/publicdomain/zero/1.0/>.
++ * SPDX-License-Identifier: CC0-1.0
++ */
++
++#if !defined(JSON_HEDLEY_VERSION) || (JSON_HEDLEY_VERSION < 9)
++#if defined(JSON_HEDLEY_VERSION)
++    #undef JSON_HEDLEY_VERSION
++#endif
++#define JSON_HEDLEY_VERSION 9
++
++#if defined(JSON_HEDLEY_STRINGIFY_EX)
++    #undef JSON_HEDLEY_STRINGIFY_EX
++#endif
++#define JSON_HEDLEY_STRINGIFY_EX(x) #x
++
++#if defined(JSON_HEDLEY_STRINGIFY)
++    #undef JSON_HEDLEY_STRINGIFY
++#endif
++#define JSON_HEDLEY_STRINGIFY(x) JSON_HEDLEY_STRINGIFY_EX(x)
++
++#if defined(JSON_HEDLEY_CONCAT_EX)
++    #undef JSON_HEDLEY_CONCAT_EX
++#endif
++#define JSON_HEDLEY_CONCAT_EX(a,b) a##b
++
++#if defined(JSON_HEDLEY_CONCAT)
++    #undef JSON_HEDLEY_CONCAT
++#endif
++#define JSON_HEDLEY_CONCAT(a,b) JSON_HEDLEY_CONCAT_EX(a,b)
++
++#if defined(JSON_HEDLEY_VERSION_ENCODE)
++    #undef JSON_HEDLEY_VERSION_ENCODE
++#endif
++#define JSON_HEDLEY_VERSION_ENCODE(major,minor,revision) (((major) * 1000000) + ((minor) * 1000) + (revision))
++
++#if defined(JSON_HEDLEY_VERSION_DECODE_MAJOR)
++    #undef JSON_HEDLEY_VERSION_DECODE_MAJOR
++#endif
++#define JSON_HEDLEY_VERSION_DECODE_MAJOR(version) ((version) / 1000000)
++
++#if defined(JSON_HEDLEY_VERSION_DECODE_MINOR)
++    #undef JSON_HEDLEY_VERSION_DECODE_MINOR
++#endif
++#define JSON_HEDLEY_VERSION_DECODE_MINOR(version) (((version) % 1000000) / 1000)
++
++#if defined(JSON_HEDLEY_VERSION_DECODE_REVISION)
++    #undef JSON_HEDLEY_VERSION_DECODE_REVISION
++#endif
++#define JSON_HEDLEY_VERSION_DECODE_REVISION(version) ((version) % 1000)
++
++#if defined(JSON_HEDLEY_GNUC_VERSION)
++    #undef JSON_HEDLEY_GNUC_VERSION
++#endif
++#if defined(__GNUC__) && defined(__GNUC_PATCHLEVEL__)
++    #define JSON_HEDLEY_GNUC_VERSION JSON_HEDLEY_VERSION_ENCODE(__GNUC__, __GNUC_MINOR__, __GNUC_PATCHLEVEL__)
++#elif defined(__GNUC__)
++    #define JSON_HEDLEY_GNUC_VERSION JSON_HEDLEY_VERSION_ENCODE(__GNUC__, __GNUC_MINOR__, 0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_VERSION_CHECK)
++    #undef JSON_HEDLEY_GNUC_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_GNUC_VERSION)
++    #define JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_GNUC_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_MSVC_VERSION)
++    #undef JSON_HEDLEY_MSVC_VERSION
++#endif
++#if defined(_MSC_FULL_VER) && (_MSC_FULL_VER >= 140000000)
++    #define JSON_HEDLEY_MSVC_VERSION JSON_HEDLEY_VERSION_ENCODE(_MSC_FULL_VER / 10000000, (_MSC_FULL_VER % 10000000) / 100000, (_MSC_FULL_VER % 100000) / 100)
++#elif defined(_MSC_FULL_VER)
++    #define JSON_HEDLEY_MSVC_VERSION JSON_HEDLEY_VERSION_ENCODE(_MSC_FULL_VER / 1000000, (_MSC_FULL_VER % 1000000) / 10000, (_MSC_FULL_VER % 10000) / 10)
++#elif defined(_MSC_VER)
++    #define JSON_HEDLEY_MSVC_VERSION JSON_HEDLEY_VERSION_ENCODE(_MSC_VER / 100, _MSC_VER % 100, 0)
++#endif
++
++#if defined(JSON_HEDLEY_MSVC_VERSION_CHECK)
++    #undef JSON_HEDLEY_MSVC_VERSION_CHECK
++#endif
++#if !defined(_MSC_VER)
++    #define JSON_HEDLEY_MSVC_VERSION_CHECK(major,minor,patch) (0)
++#elif defined(_MSC_VER) && (_MSC_VER >= 1400)
++    #define JSON_HEDLEY_MSVC_VERSION_CHECK(major,minor,patch) (_MSC_FULL_VER >= ((major * 10000000) + (minor * 100000) + (patch)))
++#elif defined(_MSC_VER) && (_MSC_VER >= 1200)
++    #define JSON_HEDLEY_MSVC_VERSION_CHECK(major,minor,patch) (_MSC_FULL_VER >= ((major * 1000000) + (minor * 10000) + (patch)))
++#else
++    #define JSON_HEDLEY_MSVC_VERSION_CHECK(major,minor,patch) (_MSC_VER >= ((major * 100) + (minor)))
++#endif
++
++#if defined(JSON_HEDLEY_INTEL_VERSION)
++    #undef JSON_HEDLEY_INTEL_VERSION
++#endif
++#if defined(__INTEL_COMPILER) && defined(__INTEL_COMPILER_UPDATE)
++    #define JSON_HEDLEY_INTEL_VERSION JSON_HEDLEY_VERSION_ENCODE(__INTEL_COMPILER / 100, __INTEL_COMPILER % 100, __INTEL_COMPILER_UPDATE)
++#elif defined(__INTEL_COMPILER)
++    #define JSON_HEDLEY_INTEL_VERSION JSON_HEDLEY_VERSION_ENCODE(__INTEL_COMPILER / 100, __INTEL_COMPILER % 100, 0)
++#endif
++
++#if defined(JSON_HEDLEY_INTEL_VERSION_CHECK)
++    #undef JSON_HEDLEY_INTEL_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_INTEL_VERSION)
++    #define JSON_HEDLEY_INTEL_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_INTEL_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_INTEL_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_PGI_VERSION)
++    #undef JSON_HEDLEY_PGI_VERSION
++#endif
++#if defined(__PGI) && defined(__PGIC__) && defined(__PGIC_MINOR__) && defined(__PGIC_PATCHLEVEL__)
++    #define JSON_HEDLEY_PGI_VERSION JSON_HEDLEY_VERSION_ENCODE(__PGIC__, __PGIC_MINOR__, __PGIC_PATCHLEVEL__)
++#endif
++
++#if defined(JSON_HEDLEY_PGI_VERSION_CHECK)
++    #undef JSON_HEDLEY_PGI_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_PGI_VERSION)
++    #define JSON_HEDLEY_PGI_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_PGI_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_PGI_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_SUNPRO_VERSION)
++    #undef JSON_HEDLEY_SUNPRO_VERSION
++#endif
++#if defined(__SUNPRO_C) && (__SUNPRO_C > 0x1000)
++    #define JSON_HEDLEY_SUNPRO_VERSION JSON_HEDLEY_VERSION_ENCODE((((__SUNPRO_C >> 16) & 0xf) * 10) + ((__SUNPRO_C >> 12) & 0xf), (((__SUNPRO_C >> 8) & 0xf) * 10) + ((__SUNPRO_C >> 4) & 0xf), (__SUNPRO_C & 0xf) * 10)
++#elif defined(__SUNPRO_C)
++    #define JSON_HEDLEY_SUNPRO_VERSION JSON_HEDLEY_VERSION_ENCODE((__SUNPRO_C >> 8) & 0xf, (__SUNPRO_C >> 4) & 0xf, (__SUNPRO_C) & 0xf)
++#elif defined(__SUNPRO_CC) && (__SUNPRO_CC > 0x1000)
++    #define JSON_HEDLEY_SUNPRO_VERSION JSON_HEDLEY_VERSION_ENCODE((((__SUNPRO_CC >> 16) & 0xf) * 10) + ((__SUNPRO_CC >> 12) & 0xf), (((__SUNPRO_CC >> 8) & 0xf) * 10) + ((__SUNPRO_CC >> 4) & 0xf), (__SUNPRO_CC & 0xf) * 10)
++#elif defined(__SUNPRO_CC)
++    #define JSON_HEDLEY_SUNPRO_VERSION JSON_HEDLEY_VERSION_ENCODE((__SUNPRO_CC >> 8) & 0xf, (__SUNPRO_CC >> 4) & 0xf, (__SUNPRO_CC) & 0xf)
++#endif
++
++#if defined(JSON_HEDLEY_SUNPRO_VERSION_CHECK)
++    #undef JSON_HEDLEY_SUNPRO_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_SUNPRO_VERSION)
++    #define JSON_HEDLEY_SUNPRO_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_SUNPRO_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_SUNPRO_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_EMSCRIPTEN_VERSION)
++    #undef JSON_HEDLEY_EMSCRIPTEN_VERSION
++#endif
++#if defined(__EMSCRIPTEN__)
++    #define JSON_HEDLEY_EMSCRIPTEN_VERSION JSON_HEDLEY_VERSION_ENCODE(__EMSCRIPTEN_major__, __EMSCRIPTEN_minor__, __EMSCRIPTEN_tiny__)
++#endif
++
++#if defined(JSON_HEDLEY_EMSCRIPTEN_VERSION_CHECK)
++    #undef JSON_HEDLEY_EMSCRIPTEN_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_EMSCRIPTEN_VERSION)
++    #define JSON_HEDLEY_EMSCRIPTEN_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_EMSCRIPTEN_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_EMSCRIPTEN_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_ARM_VERSION)
++    #undef JSON_HEDLEY_ARM_VERSION
++#endif
++#if defined(__CC_ARM) && defined(__ARMCOMPILER_VERSION)
++    #define JSON_HEDLEY_ARM_VERSION JSON_HEDLEY_VERSION_ENCODE(__ARMCOMPILER_VERSION / 1000000, (__ARMCOMPILER_VERSION % 1000000) / 10000, (__ARMCOMPILER_VERSION % 10000) / 100)
++#elif defined(__CC_ARM) && defined(__ARMCC_VERSION)
++    #define JSON_HEDLEY_ARM_VERSION JSON_HEDLEY_VERSION_ENCODE(__ARMCC_VERSION / 1000000, (__ARMCC_VERSION % 1000000) / 10000, (__ARMCC_VERSION % 10000) / 100)
++#endif
++
++#if defined(JSON_HEDLEY_ARM_VERSION_CHECK)
++    #undef JSON_HEDLEY_ARM_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_ARM_VERSION)
++    #define JSON_HEDLEY_ARM_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_ARM_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_ARM_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_IBM_VERSION)
++    #undef JSON_HEDLEY_IBM_VERSION
++#endif
++#if defined(__ibmxl__)
++    #define JSON_HEDLEY_IBM_VERSION JSON_HEDLEY_VERSION_ENCODE(__ibmxl_version__, __ibmxl_release__, __ibmxl_modification__)
++#elif defined(__xlC__) && defined(__xlC_ver__)
++    #define JSON_HEDLEY_IBM_VERSION JSON_HEDLEY_VERSION_ENCODE(__xlC__ >> 8, __xlC__ & 0xff, (__xlC_ver__ >> 8) & 0xff)
++#elif defined(__xlC__)
++    #define JSON_HEDLEY_IBM_VERSION JSON_HEDLEY_VERSION_ENCODE(__xlC__ >> 8, __xlC__ & 0xff, 0)
++#endif
++
++#if defined(JSON_HEDLEY_IBM_VERSION_CHECK)
++    #undef JSON_HEDLEY_IBM_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_IBM_VERSION)
++    #define JSON_HEDLEY_IBM_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_IBM_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_IBM_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_TI_VERSION)
++    #undef JSON_HEDLEY_TI_VERSION
++#endif
++#if defined(__TI_COMPILER_VERSION__)
++    #define JSON_HEDLEY_TI_VERSION JSON_HEDLEY_VERSION_ENCODE(__TI_COMPILER_VERSION__ / 1000000, (__TI_COMPILER_VERSION__ % 1000000) / 1000, (__TI_COMPILER_VERSION__ % 1000))
++#endif
++
++#if defined(JSON_HEDLEY_TI_VERSION_CHECK)
++    #undef JSON_HEDLEY_TI_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_TI_VERSION)
++    #define JSON_HEDLEY_TI_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_TI_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_TI_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_CRAY_VERSION)
++    #undef JSON_HEDLEY_CRAY_VERSION
++#endif
++#if defined(_CRAYC)
++    #if defined(_RELEASE_PATCHLEVEL)
++        #define JSON_HEDLEY_CRAY_VERSION JSON_HEDLEY_VERSION_ENCODE(_RELEASE_MAJOR, _RELEASE_MINOR, _RELEASE_PATCHLEVEL)
++    #else
++        #define JSON_HEDLEY_CRAY_VERSION JSON_HEDLEY_VERSION_ENCODE(_RELEASE_MAJOR, _RELEASE_MINOR, 0)
++    #endif
++#endif
++
++#if defined(JSON_HEDLEY_CRAY_VERSION_CHECK)
++    #undef JSON_HEDLEY_CRAY_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_CRAY_VERSION)
++    #define JSON_HEDLEY_CRAY_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_CRAY_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_CRAY_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_IAR_VERSION)
++    #undef JSON_HEDLEY_IAR_VERSION
++#endif
++#if defined(__IAR_SYSTEMS_ICC__)
++    #if __VER__ > 1000
++        #define JSON_HEDLEY_IAR_VERSION JSON_HEDLEY_VERSION_ENCODE((__VER__ / 1000000), ((__VER__ / 1000) % 1000), (__VER__ % 1000))
++    #else
++        #define JSON_HEDLEY_IAR_VERSION JSON_HEDLEY_VERSION_ENCODE(VER / 100, __VER__ % 100, 0)
++    #endif
++#endif
++
++#if defined(JSON_HEDLEY_IAR_VERSION_CHECK)
++    #undef JSON_HEDLEY_IAR_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_IAR_VERSION)
++    #define JSON_HEDLEY_IAR_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_IAR_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_IAR_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_TINYC_VERSION)
++    #undef JSON_HEDLEY_TINYC_VERSION
++#endif
++#if defined(__TINYC__)
++    #define JSON_HEDLEY_TINYC_VERSION JSON_HEDLEY_VERSION_ENCODE(__TINYC__ / 1000, (__TINYC__ / 100) % 10, __TINYC__ % 100)
++#endif
++
++#if defined(JSON_HEDLEY_TINYC_VERSION_CHECK)
++    #undef JSON_HEDLEY_TINYC_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_TINYC_VERSION)
++    #define JSON_HEDLEY_TINYC_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_TINYC_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_TINYC_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_DMC_VERSION)
++    #undef JSON_HEDLEY_DMC_VERSION
++#endif
++#if defined(__DMC__)
++    #define JSON_HEDLEY_DMC_VERSION JSON_HEDLEY_VERSION_ENCODE(__DMC__ >> 8, (__DMC__ >> 4) & 0xf, __DMC__ & 0xf)
++#endif
++
++#if defined(JSON_HEDLEY_DMC_VERSION_CHECK)
++    #undef JSON_HEDLEY_DMC_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_DMC_VERSION)
++    #define JSON_HEDLEY_DMC_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_DMC_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_DMC_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_COMPCERT_VERSION)
++    #undef JSON_HEDLEY_COMPCERT_VERSION
++#endif
++#if defined(__COMPCERT_VERSION__)
++    #define JSON_HEDLEY_COMPCERT_VERSION JSON_HEDLEY_VERSION_ENCODE(__COMPCERT_VERSION__ / 10000, (__COMPCERT_VERSION__ / 100) % 100, __COMPCERT_VERSION__ % 100)
++#endif
++
++#if defined(JSON_HEDLEY_COMPCERT_VERSION_CHECK)
++    #undef JSON_HEDLEY_COMPCERT_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_COMPCERT_VERSION)
++    #define JSON_HEDLEY_COMPCERT_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_COMPCERT_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_COMPCERT_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_PELLES_VERSION)
++    #undef JSON_HEDLEY_PELLES_VERSION
++#endif
++#if defined(__POCC__)
++    #define JSON_HEDLEY_PELLES_VERSION JSON_HEDLEY_VERSION_ENCODE(__POCC__ / 100, __POCC__ % 100, 0)
++#endif
++
++#if defined(JSON_HEDLEY_PELLES_VERSION_CHECK)
++    #undef JSON_HEDLEY_PELLES_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_PELLES_VERSION)
++    #define JSON_HEDLEY_PELLES_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_PELLES_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_PELLES_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_VERSION)
++    #undef JSON_HEDLEY_GCC_VERSION
++#endif
++#if \
++    defined(JSON_HEDLEY_GNUC_VERSION) && \
++    !defined(__clang__) && \
++    !defined(JSON_HEDLEY_INTEL_VERSION) && \
++    !defined(JSON_HEDLEY_PGI_VERSION) && \
++    !defined(JSON_HEDLEY_ARM_VERSION) && \
++    !defined(JSON_HEDLEY_TI_VERSION) && \
++    !defined(__COMPCERT__)
++    #define JSON_HEDLEY_GCC_VERSION JSON_HEDLEY_GNUC_VERSION
++#endif
++
++#if defined(JSON_HEDLEY_GCC_VERSION_CHECK)
++    #undef JSON_HEDLEY_GCC_VERSION_CHECK
++#endif
++#if defined(JSON_HEDLEY_GCC_VERSION)
++    #define JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch) (JSON_HEDLEY_GCC_VERSION >= JSON_HEDLEY_VERSION_ENCODE(major, minor, patch))
++#else
++    #define JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch) (0)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_ATTRIBUTE)
++    #undef JSON_HEDLEY_HAS_ATTRIBUTE
++#endif
++#if defined(__has_attribute)
++    #define JSON_HEDLEY_HAS_ATTRIBUTE(attribute) __has_attribute(attribute)
++#else
++    #define JSON_HEDLEY_HAS_ATTRIBUTE(attribute) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_ATTRIBUTE)
++    #undef JSON_HEDLEY_GNUC_HAS_ATTRIBUTE
++#endif
++#if defined(__has_attribute)
++    #define JSON_HEDLEY_GNUC_HAS_ATTRIBUTE(attribute,major,minor,patch) __has_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_ATTRIBUTE)
++    #undef JSON_HEDLEY_GCC_HAS_ATTRIBUTE
++#endif
++#if defined(__has_attribute)
++    #define JSON_HEDLEY_GCC_HAS_ATTRIBUTE(attribute,major,minor,patch) __has_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GCC_HAS_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_CPP_ATTRIBUTE)
++    #undef JSON_HEDLEY_HAS_CPP_ATTRIBUTE
++#endif
++#if defined(__has_cpp_attribute) && defined(__cplusplus)
++    #define JSON_HEDLEY_HAS_CPP_ATTRIBUTE(attribute) __has_cpp_attribute(attribute)
++#else
++    #define JSON_HEDLEY_HAS_CPP_ATTRIBUTE(attribute) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_CPP_ATTRIBUTE)
++    #undef JSON_HEDLEY_GNUC_HAS_CPP_ATTRIBUTE
++#endif
++#if defined(__has_cpp_attribute) && defined(__cplusplus)
++    #define JSON_HEDLEY_GNUC_HAS_CPP_ATTRIBUTE(attribute,major,minor,patch) __has_cpp_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_CPP_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_CPP_ATTRIBUTE)
++    #undef JSON_HEDLEY_GCC_HAS_CPP_ATTRIBUTE
++#endif
++#if defined(__has_cpp_attribute) && defined(__cplusplus)
++    #define JSON_HEDLEY_GCC_HAS_CPP_ATTRIBUTE(attribute,major,minor,patch) __has_cpp_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GCC_HAS_CPP_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_BUILTIN)
++    #undef JSON_HEDLEY_HAS_BUILTIN
++#endif
++#if defined(__has_builtin)
++    #define JSON_HEDLEY_HAS_BUILTIN(builtin) __has_builtin(builtin)
++#else
++    #define JSON_HEDLEY_HAS_BUILTIN(builtin) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_BUILTIN)
++    #undef JSON_HEDLEY_GNUC_HAS_BUILTIN
++#endif
++#if defined(__has_builtin)
++    #define JSON_HEDLEY_GNUC_HAS_BUILTIN(builtin,major,minor,patch) __has_builtin(builtin)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_BUILTIN(builtin,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_BUILTIN)
++    #undef JSON_HEDLEY_GCC_HAS_BUILTIN
++#endif
++#if defined(__has_builtin)
++    #define JSON_HEDLEY_GCC_HAS_BUILTIN(builtin,major,minor,patch) __has_builtin(builtin)
++#else
++    #define JSON_HEDLEY_GCC_HAS_BUILTIN(builtin,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_FEATURE)
++    #undef JSON_HEDLEY_HAS_FEATURE
++#endif
++#if defined(__has_feature)
++    #define JSON_HEDLEY_HAS_FEATURE(feature) __has_feature(feature)
++#else
++    #define JSON_HEDLEY_HAS_FEATURE(feature) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_FEATURE)
++    #undef JSON_HEDLEY_GNUC_HAS_FEATURE
++#endif
++#if defined(__has_feature)
++    #define JSON_HEDLEY_GNUC_HAS_FEATURE(feature,major,minor,patch) __has_feature(feature)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_FEATURE(feature,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_FEATURE)
++    #undef JSON_HEDLEY_GCC_HAS_FEATURE
++#endif
++#if defined(__has_feature)
++    #define JSON_HEDLEY_GCC_HAS_FEATURE(feature,major,minor,patch) __has_feature(feature)
++#else
++    #define JSON_HEDLEY_GCC_HAS_FEATURE(feature,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_EXTENSION)
++    #undef JSON_HEDLEY_HAS_EXTENSION
++#endif
++#if defined(__has_extension)
++    #define JSON_HEDLEY_HAS_EXTENSION(extension) __has_extension(extension)
++#else
++    #define JSON_HEDLEY_HAS_EXTENSION(extension) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_EXTENSION)
++    #undef JSON_HEDLEY_GNUC_HAS_EXTENSION
++#endif
++#if defined(__has_extension)
++    #define JSON_HEDLEY_GNUC_HAS_EXTENSION(extension,major,minor,patch) __has_extension(extension)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_EXTENSION(extension,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_EXTENSION)
++    #undef JSON_HEDLEY_GCC_HAS_EXTENSION
++#endif
++#if defined(__has_extension)
++    #define JSON_HEDLEY_GCC_HAS_EXTENSION(extension,major,minor,patch) __has_extension(extension)
++#else
++    #define JSON_HEDLEY_GCC_HAS_EXTENSION(extension,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_DECLSPEC_ATTRIBUTE)
++    #undef JSON_HEDLEY_HAS_DECLSPEC_ATTRIBUTE
++#endif
++#if defined(__has_declspec_attribute)
++    #define JSON_HEDLEY_HAS_DECLSPEC_ATTRIBUTE(attribute) __has_declspec_attribute(attribute)
++#else
++    #define JSON_HEDLEY_HAS_DECLSPEC_ATTRIBUTE(attribute) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_DECLSPEC_ATTRIBUTE)
++    #undef JSON_HEDLEY_GNUC_HAS_DECLSPEC_ATTRIBUTE
++#endif
++#if defined(__has_declspec_attribute)
++    #define JSON_HEDLEY_GNUC_HAS_DECLSPEC_ATTRIBUTE(attribute,major,minor,patch) __has_declspec_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_DECLSPEC_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_DECLSPEC_ATTRIBUTE)
++    #undef JSON_HEDLEY_GCC_HAS_DECLSPEC_ATTRIBUTE
++#endif
++#if defined(__has_declspec_attribute)
++    #define JSON_HEDLEY_GCC_HAS_DECLSPEC_ATTRIBUTE(attribute,major,minor,patch) __has_declspec_attribute(attribute)
++#else
++    #define JSON_HEDLEY_GCC_HAS_DECLSPEC_ATTRIBUTE(attribute,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_HAS_WARNING)
++    #undef JSON_HEDLEY_HAS_WARNING
++#endif
++#if defined(__has_warning)
++    #define JSON_HEDLEY_HAS_WARNING(warning) __has_warning(warning)
++#else
++    #define JSON_HEDLEY_HAS_WARNING(warning) (0)
++#endif
++
++#if defined(JSON_HEDLEY_GNUC_HAS_WARNING)
++    #undef JSON_HEDLEY_GNUC_HAS_WARNING
++#endif
++#if defined(__has_warning)
++    #define JSON_HEDLEY_GNUC_HAS_WARNING(warning,major,minor,patch) __has_warning(warning)
++#else
++    #define JSON_HEDLEY_GNUC_HAS_WARNING(warning,major,minor,patch) JSON_HEDLEY_GNUC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if defined(JSON_HEDLEY_GCC_HAS_WARNING)
++    #undef JSON_HEDLEY_GCC_HAS_WARNING
++#endif
++#if defined(__has_warning)
++    #define JSON_HEDLEY_GCC_HAS_WARNING(warning,major,minor,patch) __has_warning(warning)
++#else
++    #define JSON_HEDLEY_GCC_HAS_WARNING(warning,major,minor,patch) JSON_HEDLEY_GCC_VERSION_CHECK(major,minor,patch)
++#endif
++
++#if \
++    (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L)) || \
++    defined(__clang__) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,0,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(18,4,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(6,0,0) || \
++    JSON_HEDLEY_CRAY_VERSION_CHECK(5,0,0) || \
++    JSON_HEDLEY_TINYC_VERSION_CHECK(0,9,17) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) && defined(__C99_PRAGMA_OPERATOR))
++    #define JSON_HEDLEY_PRAGMA(value) _Pragma(#value)
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(15,0,0)
++    #define JSON_HEDLEY_PRAGMA(value) __pragma(value)
++#else
++    #define JSON_HEDLEY_PRAGMA(value)
++#endif
++
++#if defined(JSON_HEDLEY_DIAGNOSTIC_PUSH)
++    #undef JSON_HEDLEY_DIAGNOSTIC_PUSH
++#endif
++#if defined(JSON_HEDLEY_DIAGNOSTIC_POP)
++    #undef JSON_HEDLEY_DIAGNOSTIC_POP
++#endif
++#if defined(__clang__)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("clang diagnostic push")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("clang diagnostic pop")
++#elif JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("warning(push)")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("warning(pop)")
++#elif JSON_HEDLEY_GCC_VERSION_CHECK(4,6,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("GCC diagnostic push")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("GCC diagnostic pop")
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(15,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH __pragma(warning(push))
++    #define JSON_HEDLEY_DIAGNOSTIC_POP __pragma(warning(pop))
++#elif JSON_HEDLEY_ARM_VERSION_CHECK(5,6,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("push")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("pop")
++#elif JSON_HEDLEY_TI_VERSION_CHECK(8,1,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("diag_push")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("diag_pop")
++#elif JSON_HEDLEY_PELLES_VERSION_CHECK(2,90,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH _Pragma("warning(push)")
++    #define JSON_HEDLEY_DIAGNOSTIC_POP _Pragma("warning(pop)")
++#else
++    #define JSON_HEDLEY_DIAGNOSTIC_PUSH
++    #define JSON_HEDLEY_DIAGNOSTIC_POP
++#endif
++
++#if defined(JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED)
++    #undef JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED
++#endif
++#if JSON_HEDLEY_HAS_WARNING("-Wdeprecated-declarations")
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("clang diagnostic ignored \"-Wdeprecated-declarations\"")
++#elif JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("warning(disable:1478 1786)")
++#elif JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("diag_suppress 1215,1444")
++#elif JSON_HEDLEY_GCC_VERSION_CHECK(4,3,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("GCC diagnostic ignored \"-Wdeprecated-declarations\"")
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(15,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED __pragma(warning(disable:4996))
++#elif JSON_HEDLEY_TI_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("diag_suppress 1291,1718")
++#elif JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,13,0) && !defined(__cplusplus)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("error_messages(off,E_DEPRECATED_ATT,E_DEPRECATED_ATT_MESS)")
++#elif JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,13,0) && defined(__cplusplus)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("error_messages(off,symdeprecated,symdeprecated2)")
++#elif JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("diag_suppress=Pe1444,Pe1215")
++#elif JSON_HEDLEY_PELLES_VERSION_CHECK(2,90,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED _Pragma("warn(disable:2241)")
++#else
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_DEPRECATED
++#endif
++
++#if defined(JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS)
++    #undef JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS
++#endif
++#if JSON_HEDLEY_HAS_WARNING("-Wunknown-pragmas")
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("clang diagnostic ignored \"-Wunknown-pragmas\"")
++#elif JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("warning(disable:161)")
++#elif JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("diag_suppress 1675")
++#elif JSON_HEDLEY_GCC_VERSION_CHECK(4,3,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("GCC diagnostic ignored \"-Wunknown-pragmas\"")
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(15,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS __pragma(warning(disable:4068))
++#elif JSON_HEDLEY_TI_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("diag_suppress 163")
++#elif JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS _Pragma("diag_suppress=Pe161")
++#else
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_UNKNOWN_PRAGMAS
++#endif
++
++#if defined(JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL)
++    #undef JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL
++#endif
++#if JSON_HEDLEY_HAS_WARNING("-Wcast-qual")
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL _Pragma("clang diagnostic ignored \"-Wcast-qual\"")
++#elif JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL _Pragma("warning(disable:2203 2331)")
++#elif JSON_HEDLEY_GCC_VERSION_CHECK(3,0,0)
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL _Pragma("GCC diagnostic ignored \"-Wcast-qual\"")
++#else
++    #define JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL
++#endif
++
++#if defined(JSON_HEDLEY_DEPRECATED)
++    #undef JSON_HEDLEY_DEPRECATED
++#endif
++#if defined(JSON_HEDLEY_DEPRECATED_FOR)
++    #undef JSON_HEDLEY_DEPRECATED_FOR
++#endif
++#if defined(__cplusplus) && (__cplusplus >= 201402L)
++    #define JSON_HEDLEY_DEPRECATED(since) [[deprecated("Since " #since)]]
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) [[deprecated("Since " #since "; use " #replacement)]]
++#elif \
++    JSON_HEDLEY_HAS_EXTENSION(attribute_deprecated_with_message) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,5,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(5,6,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,13,0) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,3,0)
++    #define JSON_HEDLEY_DEPRECATED(since) __attribute__((__deprecated__("Since " #since)))
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) __attribute__((__deprecated__("Since " #since "; use " #replacement)))
++#elif \
++    JSON_HEDLEY_HAS_ATTRIBUTE(deprecated) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,1,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_DEPRECATED(since) __attribute__((__deprecated__))
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) __attribute__((__deprecated__))
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(14,0,0)
++    #define JSON_HEDLEY_DEPRECATED(since) __declspec(deprecated("Since " # since))
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) __declspec(deprecated("Since " #since "; use " #replacement))
++#elif \
++    JSON_HEDLEY_MSVC_VERSION_CHECK(13,10,0) || \
++    JSON_HEDLEY_PELLES_VERSION_CHECK(6,50,0)
++    #define JSON_HEDLEY_DEPRECATED(since) _declspec(deprecated)
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) __declspec(deprecated)
++#elif JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_DEPRECATED(since) _Pragma("deprecated")
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement) _Pragma("deprecated")
++#else
++    #define JSON_HEDLEY_DEPRECATED(since)
++    #define JSON_HEDLEY_DEPRECATED_FOR(since, replacement)
++#endif
++
++#if defined(JSON_HEDLEY_UNAVAILABLE)
++    #undef JSON_HEDLEY_UNAVAILABLE
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(warning) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,3,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_UNAVAILABLE(available_since) __attribute__((__warning__("Not available until " #available_since)))
++#else
++    #define JSON_HEDLEY_UNAVAILABLE(available_since)
++#endif
++
++#if defined(JSON_HEDLEY_WARN_UNUSED_RESULT)
++    #undef JSON_HEDLEY_WARN_UNUSED_RESULT
++#endif
++#if defined(__cplusplus) && (__cplusplus >= 201703L)
++    #define JSON_HEDLEY_WARN_UNUSED_RESULT [[nodiscard]]
++#elif \
++    JSON_HEDLEY_HAS_ATTRIBUTE(warn_unused_result) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,4,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__)) || \
++    (JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,15,0) && defined(__cplusplus)) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0)
++    #define JSON_HEDLEY_WARN_UNUSED_RESULT __attribute__((__warn_unused_result__))
++#elif defined(_Check_return_) /* SAL */
++    #define JSON_HEDLEY_WARN_UNUSED_RESULT _Check_return_
++#else
++    #define JSON_HEDLEY_WARN_UNUSED_RESULT
++#endif
++
++#if defined(JSON_HEDLEY_SENTINEL)
++    #undef JSON_HEDLEY_SENTINEL
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(sentinel) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,0,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(5,4,0)
++    #define JSON_HEDLEY_SENTINEL(position) __attribute__((__sentinel__(position)))
++#else
++    #define JSON_HEDLEY_SENTINEL(position)
++#endif
++
++#if defined(JSON_HEDLEY_NO_RETURN)
++    #undef JSON_HEDLEY_NO_RETURN
++#endif
++#if JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_NO_RETURN __noreturn
++#elif JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_NO_RETURN __attribute__((__noreturn__))
++#elif defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
++    #define JSON_HEDLEY_NO_RETURN _Noreturn
++#elif defined(__cplusplus) && (__cplusplus >= 201103L)
++    #define JSON_HEDLEY_NO_RETURN [[noreturn]]
++#elif \
++    JSON_HEDLEY_HAS_ATTRIBUTE(noreturn) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,2,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(18,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(17,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_NO_RETURN __attribute__((__noreturn__))
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(13,10,0)
++    #define JSON_HEDLEY_NO_RETURN __declspec(noreturn)
++#elif JSON_HEDLEY_TI_VERSION_CHECK(6,0,0) && defined(__cplusplus)
++    #define JSON_HEDLEY_NO_RETURN _Pragma("FUNC_NEVER_RETURNS;")
++#elif JSON_HEDLEY_COMPCERT_VERSION_CHECK(3,2,0)
++    #define JSON_HEDLEY_NO_RETURN __attribute((noreturn))
++#elif JSON_HEDLEY_PELLES_VERSION_CHECK(9,0,0)
++    #define JSON_HEDLEY_NO_RETURN __declspec(noreturn)
++#else
++    #define JSON_HEDLEY_NO_RETURN
++#endif
++
++#if defined(JSON_HEDLEY_UNREACHABLE)
++    #undef JSON_HEDLEY_UNREACHABLE
++#endif
++#if defined(JSON_HEDLEY_UNREACHABLE_RETURN)
++    #undef JSON_HEDLEY_UNREACHABLE_RETURN
++#endif
++#if \
++    (JSON_HEDLEY_HAS_BUILTIN(__builtin_unreachable) && (!defined(JSON_HEDLEY_ARM_VERSION))) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,5,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(13,1,5)
++    #define JSON_HEDLEY_UNREACHABLE() __builtin_unreachable()
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(13,10,0)
++    #define JSON_HEDLEY_UNREACHABLE() __assume(0)
++#elif JSON_HEDLEY_TI_VERSION_CHECK(6,0,0)
++    #if defined(__cplusplus)
++        #define JSON_HEDLEY_UNREACHABLE() std::_nassert(0)
++    #else
++        #define JSON_HEDLEY_UNREACHABLE() _nassert(0)
++    #endif
++    #define JSON_HEDLEY_UNREACHABLE_RETURN(value) return value
++#elif defined(EXIT_FAILURE)
++    #define JSON_HEDLEY_UNREACHABLE() abort()
++#else
++    #define JSON_HEDLEY_UNREACHABLE()
++    #define JSON_HEDLEY_UNREACHABLE_RETURN(value) return value
++#endif
++#if !defined(JSON_HEDLEY_UNREACHABLE_RETURN)
++    #define JSON_HEDLEY_UNREACHABLE_RETURN(value) JSON_HEDLEY_UNREACHABLE()
++#endif
++
++#if defined(JSON_HEDLEY_ASSUME)
++    #undef JSON_HEDLEY_ASSUME
++#endif
++#if \
++    JSON_HEDLEY_MSVC_VERSION_CHECK(13,10,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_ASSUME(expr) __assume(expr)
++#elif JSON_HEDLEY_HAS_BUILTIN(__builtin_assume)
++    #define JSON_HEDLEY_ASSUME(expr) __builtin_assume(expr)
++#elif JSON_HEDLEY_TI_VERSION_CHECK(6,0,0)
++    #if defined(__cplusplus)
++        #define JSON_HEDLEY_ASSUME(expr) std::_nassert(expr)
++    #else
++        #define JSON_HEDLEY_ASSUME(expr) _nassert(expr)
++    #endif
++#elif \
++    (JSON_HEDLEY_HAS_BUILTIN(__builtin_unreachable) && !defined(JSON_HEDLEY_ARM_VERSION)) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,5,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(13,1,5)
++    #define JSON_HEDLEY_ASSUME(expr) ((void) ((expr) ? 1 : (__builtin_unreachable(), 1)))
++#else
++    #define JSON_HEDLEY_ASSUME(expr) ((void) (expr))
++#endif
++
++
++JSON_HEDLEY_DIAGNOSTIC_PUSH
++#if \
++    JSON_HEDLEY_HAS_WARNING("-Wvariadic-macros") || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,0,0)
++    #if defined(__clang__)
++        #pragma clang diagnostic ignored "-Wvariadic-macros"
++    #elif defined(JSON_HEDLEY_GCC_VERSION)
++        #pragma GCC diagnostic ignored "-Wvariadic-macros"
++    #endif
++#endif
++#if defined(JSON_HEDLEY_NON_NULL)
++    #undef JSON_HEDLEY_NON_NULL
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(nonnull) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,3,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0)
++    #define JSON_HEDLEY_NON_NULL(...) __attribute__((__nonnull__(__VA_ARGS__)))
++#else
++    #define JSON_HEDLEY_NON_NULL(...)
++#endif
++JSON_HEDLEY_DIAGNOSTIC_POP
++
++#if defined(JSON_HEDLEY_PRINTF_FORMAT)
++    #undef JSON_HEDLEY_PRINTF_FORMAT
++#endif
++#if defined(__MINGW32__) && JSON_HEDLEY_GCC_HAS_ATTRIBUTE(format,4,4,0) && !defined(__USE_MINGW_ANSI_STDIO)
++    #define JSON_HEDLEY_PRINTF_FORMAT(string_idx,first_to_check) __attribute__((__format__(ms_printf, string_idx, first_to_check)))
++#elif defined(__MINGW32__) && JSON_HEDLEY_GCC_HAS_ATTRIBUTE(format,4,4,0) && defined(__USE_MINGW_ANSI_STDIO)
++    #define JSON_HEDLEY_PRINTF_FORMAT(string_idx,first_to_check) __attribute__((__format__(gnu_printf, string_idx, first_to_check)))
++#elif \
++    JSON_HEDLEY_HAS_ATTRIBUTE(format) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,1,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(5,6,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_PRINTF_FORMAT(string_idx,first_to_check) __attribute__((__format__(__printf__, string_idx, first_to_check)))
++#elif JSON_HEDLEY_PELLES_VERSION_CHECK(6,0,0)
++    #define JSON_HEDLEY_PRINTF_FORMAT(string_idx,first_to_check) __declspec(vaformat(printf,string_idx,first_to_check))
++#else
++    #define JSON_HEDLEY_PRINTF_FORMAT(string_idx,first_to_check)
++#endif
++
++#if defined(JSON_HEDLEY_CONSTEXPR)
++    #undef JSON_HEDLEY_CONSTEXPR
++#endif
++#if defined(__cplusplus)
++    #if __cplusplus >= 201103L
++        #define JSON_HEDLEY_CONSTEXPR constexpr
++    #endif
++#endif
++#if !defined(JSON_HEDLEY_CONSTEXPR)
++    #define JSON_HEDLEY_CONSTEXPR
++#endif
++
++#if defined(JSON_HEDLEY_PREDICT)
++    #undef JSON_HEDLEY_PREDICT
++#endif
++#if defined(JSON_HEDLEY_LIKELY)
++    #undef JSON_HEDLEY_LIKELY
++#endif
++#if defined(JSON_HEDLEY_UNLIKELY)
++    #undef JSON_HEDLEY_UNLIKELY
++#endif
++#if defined(JSON_HEDLEY_UNPREDICTABLE)
++    #undef JSON_HEDLEY_UNPREDICTABLE
++#endif
++#if JSON_HEDLEY_HAS_BUILTIN(__builtin_unpredictable)
++    #define JSON_HEDLEY_UNPREDICTABLE(expr) __builtin_unpredictable(!!(expr))
++#endif
++#if \
++  JSON_HEDLEY_HAS_BUILTIN(__builtin_expect_with_probability) || \
++  JSON_HEDLEY_GCC_VERSION_CHECK(9,0,0)
++#  define JSON_HEDLEY_PREDICT(expr, value, probability) __builtin_expect_with_probability(expr, value, probability)
++#  define JSON_HEDLEY_PREDICT_TRUE(expr, probability) __builtin_expect_with_probability(!!(expr), 1, probability)
++#  define JSON_HEDLEY_PREDICT_FALSE(expr, probability) __builtin_expect_with_probability(!!(expr), 0, probability)
++#  define JSON_HEDLEY_LIKELY(expr) __builtin_expect(!!(expr), 1)
++#  define JSON_HEDLEY_UNLIKELY(expr) __builtin_expect(!!(expr), 0)
++#if !defined(JSON_HEDLEY_BUILTIN_UNPREDICTABLE)
++    #define JSON_HEDLEY_BUILTIN_UNPREDICTABLE(expr) __builtin_expect_with_probability(!!(expr), 1, 0.5)
++#endif
++#elif \
++  JSON_HEDLEY_HAS_BUILTIN(__builtin_expect) || \
++  JSON_HEDLEY_GCC_VERSION_CHECK(3,0,0) || \
++  JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++  (JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,15,0) && defined(__cplusplus)) || \
++  JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++  JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++  JSON_HEDLEY_TI_VERSION_CHECK(6,1,0) || \
++  JSON_HEDLEY_TINYC_VERSION_CHECK(0,9,27)
++#  define JSON_HEDLEY_PREDICT(expr, expected, probability) \
++    (((probability) >= 0.9) ? __builtin_expect(!!(expr), (expected)) : (((void) (expected)), !!(expr)))
++#  define JSON_HEDLEY_PREDICT_TRUE(expr, probability) \
++    (__extension__ ({ \
++        JSON_HEDLEY_CONSTEXPR double hedley_probability_ = (probability); \
++        ((hedley_probability_ >= 0.9) ? __builtin_expect(!!(expr), 1) : ((hedley_probability_ <= 0.1) ? __builtin_expect(!!(expr), 0) : !!(expr))); \
++    }))
++#  define JSON_HEDLEY_PREDICT_FALSE(expr, probability) \
++    (__extension__ ({ \
++        JSON_HEDLEY_CONSTEXPR double hedley_probability_ = (probability); \
++        ((hedley_probability_ >= 0.9) ? __builtin_expect(!!(expr), 0) : ((hedley_probability_ <= 0.1) ? __builtin_expect(!!(expr), 1) : !!(expr))); \
++    }))
++#  define JSON_HEDLEY_LIKELY(expr)   __builtin_expect(!!(expr), 1)
++#  define JSON_HEDLEY_UNLIKELY(expr) __builtin_expect(!!(expr), 0)
++#else
++#  define JSON_HEDLEY_PREDICT(expr, expected, probability) (((void) (expected)), !!(expr))
++#  define JSON_HEDLEY_PREDICT_TRUE(expr, probability) (!!(expr))
++#  define JSON_HEDLEY_PREDICT_FALSE(expr, probability) (!!(expr))
++#  define JSON_HEDLEY_LIKELY(expr) (!!(expr))
++#  define JSON_HEDLEY_UNLIKELY(expr) (!!(expr))
++#endif
++#if !defined(JSON_HEDLEY_UNPREDICTABLE)
++    #define JSON_HEDLEY_UNPREDICTABLE(expr) JSON_HEDLEY_PREDICT(expr, 1, 0.5)
++#endif
++
++#if defined(JSON_HEDLEY_MALLOC)
++    #undef JSON_HEDLEY_MALLOC
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(malloc) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,1,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(12,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_MALLOC __attribute__((__malloc__))
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(14, 0, 0)
++    #define JSON_HEDLEY_MALLOC __declspec(restrict)
++#else
++    #define JSON_HEDLEY_MALLOC
++#endif
++
++#if defined(JSON_HEDLEY_PURE)
++    #undef JSON_HEDLEY_PURE
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(pure) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(2,96,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__)) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0)
++    #define JSON_HEDLEY_PURE __attribute__((__pure__))
++#elif JSON_HEDLEY_TI_VERSION_CHECK(6,0,0) && defined(__cplusplus)
++    #define JSON_HEDLEY_PURE _Pragma("FUNC_IS_PURE;")
++#else
++    #define JSON_HEDLEY_PURE
++#endif
++
++#if defined(JSON_HEDLEY_CONST)
++    #undef JSON_HEDLEY_CONST
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(const) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(2,5,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__)) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0)
++    #define JSON_HEDLEY_CONST __attribute__((__const__))
++#else
++    #define JSON_HEDLEY_CONST JSON_HEDLEY_PURE
++#endif
++
++#if defined(JSON_HEDLEY_RESTRICT)
++    #undef JSON_HEDLEY_RESTRICT
++#endif
++#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) && !defined(__cplusplus)
++    #define JSON_HEDLEY_RESTRICT restrict
++#elif \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,1,0) || \
++    JSON_HEDLEY_MSVC_VERSION_CHECK(14,0,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_PGI_VERSION_CHECK(17,10,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,14,0) && defined(__cplusplus)) || \
++    JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0) || \
++    defined(__clang__)
++    #define JSON_HEDLEY_RESTRICT __restrict
++#elif JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,3,0) && !defined(__cplusplus)
++    #define JSON_HEDLEY_RESTRICT _Restrict
++#else
++    #define JSON_HEDLEY_RESTRICT
++#endif
++
++#if defined(JSON_HEDLEY_INLINE)
++    #undef JSON_HEDLEY_INLINE
++#endif
++#if \
++    (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L)) || \
++    (defined(__cplusplus) && (__cplusplus >= 199711L))
++    #define JSON_HEDLEY_INLINE inline
++#elif \
++    defined(JSON_HEDLEY_GCC_VERSION) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(6,2,0)
++    #define JSON_HEDLEY_INLINE __inline__
++#elif \
++    JSON_HEDLEY_MSVC_VERSION_CHECK(12,0,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_INLINE __inline
++#else
++    #define JSON_HEDLEY_INLINE
++#endif
++
++#if defined(JSON_HEDLEY_ALWAYS_INLINE)
++    #undef JSON_HEDLEY_ALWAYS_INLINE
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(always_inline) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,0,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_ALWAYS_INLINE __attribute__((__always_inline__)) JSON_HEDLEY_INLINE
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(12,0,0)
++    #define JSON_HEDLEY_ALWAYS_INLINE __forceinline
++#elif JSON_HEDLEY_TI_VERSION_CHECK(7,0,0) && defined(__cplusplus)
++    #define JSON_HEDLEY_ALWAYS_INLINE _Pragma("FUNC_ALWAYS_INLINE;")
++#elif JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_ALWAYS_INLINE _Pragma("inline=forced")
++#else
++    #define JSON_HEDLEY_ALWAYS_INLINE JSON_HEDLEY_INLINE
++#endif
++
++#if defined(JSON_HEDLEY_NEVER_INLINE)
++    #undef JSON_HEDLEY_NEVER_INLINE
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(noinline) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,0,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(10,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++    (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++    #define JSON_HEDLEY_NEVER_INLINE __attribute__((__noinline__))
++#elif JSON_HEDLEY_MSVC_VERSION_CHECK(13,10,0)
++    #define JSON_HEDLEY_NEVER_INLINE __declspec(noinline)
++#elif JSON_HEDLEY_PGI_VERSION_CHECK(10,2,0)
++    #define JSON_HEDLEY_NEVER_INLINE _Pragma("noinline")
++#elif JSON_HEDLEY_TI_VERSION_CHECK(6,0,0) && defined(__cplusplus)
++    #define JSON_HEDLEY_NEVER_INLINE _Pragma("FUNC_CANNOT_INLINE;")
++#elif JSON_HEDLEY_IAR_VERSION_CHECK(8,0,0)
++    #define JSON_HEDLEY_NEVER_INLINE _Pragma("inline=never")
++#elif JSON_HEDLEY_COMPCERT_VERSION_CHECK(3,2,0)
++    #define JSON_HEDLEY_NEVER_INLINE __attribute((noinline))
++#elif JSON_HEDLEY_PELLES_VERSION_CHECK(9,0,0)
++    #define JSON_HEDLEY_NEVER_INLINE __declspec(noinline)
++#else
++    #define JSON_HEDLEY_NEVER_INLINE
++#endif
++
++#if defined(JSON_HEDLEY_PRIVATE)
++    #undef JSON_HEDLEY_PRIVATE
++#endif
++#if defined(JSON_HEDLEY_PUBLIC)
++    #undef JSON_HEDLEY_PUBLIC
++#endif
++#if defined(JSON_HEDLEY_IMPORT)
++    #undef JSON_HEDLEY_IMPORT
++#endif
++#if defined(_WIN32) || defined(__CYGWIN__)
++    #define JSON_HEDLEY_PRIVATE
++    #define JSON_HEDLEY_PUBLIC   __declspec(dllexport)
++    #define JSON_HEDLEY_IMPORT   __declspec(dllimport)
++#else
++    #if \
++        JSON_HEDLEY_HAS_ATTRIBUTE(visibility) || \
++        JSON_HEDLEY_GCC_VERSION_CHECK(3,3,0) || \
++        JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,11,0) || \
++        JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++        JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++        JSON_HEDLEY_IBM_VERSION_CHECK(13,1,0) || \
++        JSON_HEDLEY_TI_VERSION_CHECK(8,0,0) || \
++        (JSON_HEDLEY_TI_VERSION_CHECK(7,3,0) && defined(__TI_EABI__) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__))
++        #define JSON_HEDLEY_PRIVATE __attribute__((__visibility__("hidden")))
++        #define JSON_HEDLEY_PUBLIC  __attribute__((__visibility__("default")))
++    #else
++        #define JSON_HEDLEY_PRIVATE
++        #define JSON_HEDLEY_PUBLIC
++    #endif
++    #define JSON_HEDLEY_IMPORT    extern
++#endif
++
++#if defined(JSON_HEDLEY_NO_THROW)
++    #undef JSON_HEDLEY_NO_THROW
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(nothrow) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,3,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++    #define JSON_HEDLEY_NO_THROW __attribute__((__nothrow__))
++#elif \
++    JSON_HEDLEY_MSVC_VERSION_CHECK(13,1,0) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0)
++    #define JSON_HEDLEY_NO_THROW __declspec(nothrow)
++#else
++    #define JSON_HEDLEY_NO_THROW
++#endif
++
++#if defined(JSON_HEDLEY_FALL_THROUGH)
++    #undef JSON_HEDLEY_FALL_THROUGH
++#endif
++#if \
++    defined(__cplusplus) && \
++    (!defined(JSON_HEDLEY_SUNPRO_VERSION) || JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,15,0)) && \
++    !defined(JSON_HEDLEY_PGI_VERSION)
++    #if \
++        (__cplusplus >= 201703L) || \
++        ((__cplusplus >= 201103L) && JSON_HEDLEY_HAS_CPP_ATTRIBUTE(fallthrough))
++        #define JSON_HEDLEY_FALL_THROUGH [[fallthrough]]
++    #elif (__cplusplus >= 201103L) && JSON_HEDLEY_HAS_CPP_ATTRIBUTE(clang::fallthrough)
++        #define JSON_HEDLEY_FALL_THROUGH [[clang::fallthrough]]
++    #elif (__cplusplus >= 201103L) && JSON_HEDLEY_GCC_VERSION_CHECK(7,0,0)
++        #define JSON_HEDLEY_FALL_THROUGH [[gnu::fallthrough]]
++    #endif
++#endif
++#if !defined(JSON_HEDLEY_FALL_THROUGH)
++    #if JSON_HEDLEY_GNUC_HAS_ATTRIBUTE(fallthrough,7,0,0) && !defined(JSON_HEDLEY_PGI_VERSION)
++        #define JSON_HEDLEY_FALL_THROUGH __attribute__((__fallthrough__))
++    #elif defined(__fallthrough) /* SAL */
++        #define JSON_HEDLEY_FALL_THROUGH __fallthrough
++    #else
++        #define JSON_HEDLEY_FALL_THROUGH
++    #endif
++#endif
++
++#if defined(JSON_HEDLEY_RETURNS_NON_NULL)
++    #undef JSON_HEDLEY_RETURNS_NON_NULL
++#endif
++#if \
++    JSON_HEDLEY_HAS_ATTRIBUTE(returns_nonnull) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(4,9,0)
++    #define JSON_HEDLEY_RETURNS_NON_NULL __attribute__((__returns_nonnull__))
++#elif defined(_Ret_notnull_) /* SAL */
++    #define JSON_HEDLEY_RETURNS_NON_NULL _Ret_notnull_
++#else
++    #define JSON_HEDLEY_RETURNS_NON_NULL
++#endif
++
++#if defined(JSON_HEDLEY_ARRAY_PARAM)
++    #undef JSON_HEDLEY_ARRAY_PARAM
++#endif
++#if \
++    defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) && \
++    !defined(__STDC_NO_VLA__) && \
++    !defined(__cplusplus) && \
++    !defined(JSON_HEDLEY_PGI_VERSION) && \
++    !defined(JSON_HEDLEY_TINYC_VERSION)
++    #define JSON_HEDLEY_ARRAY_PARAM(name) (name)
++#else
++    #define JSON_HEDLEY_ARRAY_PARAM(name)
++#endif
++
++#if defined(JSON_HEDLEY_IS_CONSTANT)
++    #undef JSON_HEDLEY_IS_CONSTANT
++#endif
++#if defined(JSON_HEDLEY_REQUIRE_CONSTEXPR)
++    #undef JSON_HEDLEY_REQUIRE_CONSTEXPR
++#endif
++/* Note the double-underscore. For internal use only; no API
++ * guarantees! */
++#if defined(JSON_HEDLEY__IS_CONSTEXPR)
++    #undef JSON_HEDLEY__IS_CONSTEXPR
++#endif
++
++#if \
++    JSON_HEDLEY_HAS_BUILTIN(__builtin_constant_p) || \
++    JSON_HEDLEY_GCC_VERSION_CHECK(3,4,0) || \
++    JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++    JSON_HEDLEY_TINYC_VERSION_CHECK(0,9,19) || \
++    JSON_HEDLEY_ARM_VERSION_CHECK(4,1,0) || \
++    JSON_HEDLEY_IBM_VERSION_CHECK(13,1,0) || \
++    JSON_HEDLEY_TI_VERSION_CHECK(6,1,0) || \
++    JSON_HEDLEY_SUNPRO_VERSION_CHECK(5,10,0) || \
++    JSON_HEDLEY_CRAY_VERSION_CHECK(8,1,0)
++    #define JSON_HEDLEY_IS_CONSTANT(expr) __builtin_constant_p(expr)
++#endif
++#if !defined(__cplusplus)
++#  if \
++       JSON_HEDLEY_HAS_BUILTIN(__builtin_types_compatible_p) || \
++       JSON_HEDLEY_GCC_VERSION_CHECK(3,4,0) || \
++       JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++       JSON_HEDLEY_IBM_VERSION_CHECK(13,1,0) || \
++       JSON_HEDLEY_CRAY_VERSION_CHECK(8,1,0) || \
++       JSON_HEDLEY_ARM_VERSION_CHECK(5,4,0) || \
++       JSON_HEDLEY_TINYC_VERSION_CHECK(0,9,24)
++#if defined(__INTPTR_TYPE__)
++    #define JSON_HEDLEY__IS_CONSTEXPR(expr) __builtin_types_compatible_p(__typeof__((1 ? (void*) ((__INTPTR_TYPE__) ((expr) * 0)) : (int*) 0)), int*)
++#else
++    #include <stdint.h>
++    #define JSON_HEDLEY__IS_CONSTEXPR(expr) __builtin_types_compatible_p(__typeof__((1 ? (void*) ((intptr_t) ((expr) * 0)) : (int*) 0)), int*)
++#endif
++#  elif \
++       (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L) && !defined(JSON_HEDLEY_SUNPRO_VERSION) && !defined(JSON_HEDLEY_PGI_VERSION)) || \
++       JSON_HEDLEY_HAS_EXTENSION(c_generic_selections) || \
++       JSON_HEDLEY_GCC_VERSION_CHECK(4,9,0) || \
++       JSON_HEDLEY_INTEL_VERSION_CHECK(17,0,0) || \
++       JSON_HEDLEY_IBM_VERSION_CHECK(12,1,0) || \
++       JSON_HEDLEY_ARM_VERSION_CHECK(5,3,0)
++#if defined(__INTPTR_TYPE__)
++    #define JSON_HEDLEY__IS_CONSTEXPR(expr) _Generic((1 ? (void*) ((__INTPTR_TYPE__) ((expr) * 0)) : (int*) 0), int*: 1, void*: 0)
++#else
++    #include <stdint.h>
++    #define JSON_HEDLEY__IS_CONSTEXPR(expr) _Generic((1 ? (void*) ((intptr_t) * 0) : (int*) 0), int*: 1, void*: 0)
++#endif
++#  elif \
++       defined(JSON_HEDLEY_GCC_VERSION) || \
++       defined(JSON_HEDLEY_INTEL_VERSION) || \
++       defined(JSON_HEDLEY_TINYC_VERSION) || \
++       defined(JSON_HEDLEY_TI_VERSION) || \
++       defined(__clang__)
++#    define JSON_HEDLEY__IS_CONSTEXPR(expr) ( \
++        sizeof(void) != \
++        sizeof(*( \
++                  1 ? \
++                  ((void*) ((expr) * 0L) ) : \
++((struct { char v[sizeof(void) * 2]; } *) 1) \
++                ) \
++              ) \
++                                            )
++#  endif
++#endif
++#if defined(JSON_HEDLEY__IS_CONSTEXPR)
++    #if !defined(JSON_HEDLEY_IS_CONSTANT)
++        #define JSON_HEDLEY_IS_CONSTANT(expr) JSON_HEDLEY__IS_CONSTEXPR(expr)
++    #endif
++    #define JSON_HEDLEY_REQUIRE_CONSTEXPR(expr) (JSON_HEDLEY__IS_CONSTEXPR(expr) ? (expr) : (-1))
++#else
++    #if !defined(JSON_HEDLEY_IS_CONSTANT)
++        #define JSON_HEDLEY_IS_CONSTANT(expr) (0)
++    #endif
++    #define JSON_HEDLEY_REQUIRE_CONSTEXPR(expr) (expr)
++#endif
++
++#if defined(JSON_HEDLEY_BEGIN_C_DECLS)
++    #undef JSON_HEDLEY_BEGIN_C_DECLS
++#endif
++#if defined(JSON_HEDLEY_END_C_DECLS)
++    #undef JSON_HEDLEY_END_C_DECLS
++#endif
++#if defined(JSON_HEDLEY_C_DECL)
++    #undef JSON_HEDLEY_C_DECL
++#endif
++#if defined(__cplusplus)
++    #define JSON_HEDLEY_BEGIN_C_DECLS extern "C" {
++    #define JSON_HEDLEY_END_C_DECLS }
++    #define JSON_HEDLEY_C_DECL extern "C"
++#else
++    #define JSON_HEDLEY_BEGIN_C_DECLS
++    #define JSON_HEDLEY_END_C_DECLS
++    #define JSON_HEDLEY_C_DECL
++#endif
++
++#if defined(JSON_HEDLEY_STATIC_ASSERT)
++    #undef JSON_HEDLEY_STATIC_ASSERT
++#endif
++#if \
++  !defined(__cplusplus) && ( \
++      (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L)) || \
++      JSON_HEDLEY_HAS_FEATURE(c_static_assert) || \
++      JSON_HEDLEY_GCC_VERSION_CHECK(6,0,0) || \
++      JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \
++      defined(_Static_assert) \
++    )
++#  define JSON_HEDLEY_STATIC_ASSERT(expr, message) _Static_assert(expr, message)
++#elif \
++  (defined(__cplusplus) && (__cplusplus >= 201703L)) || \
++  JSON_HEDLEY_MSVC_VERSION_CHECK(16,0,0) || \
++  (defined(__cplusplus) && JSON_HEDLEY_TI_VERSION_CHECK(8,3,0))
++#  define JSON_HEDLEY_STATIC_ASSERT(expr, message) static_assert(expr, message)
++#elif defined(__cplusplus) && (__cplusplus >= 201103L)
++#  define JSON_HEDLEY_STATIC_ASSERT(expr, message) static_assert(expr)
++#else
++#  define JSON_HEDLEY_STATIC_ASSERT(expr, message)
++#endif
++
++#if defined(JSON_HEDLEY_CONST_CAST)
++    #undef JSON_HEDLEY_CONST_CAST
++#endif
++#if defined(__cplusplus)
++#  define JSON_HEDLEY_CONST_CAST(T, expr) (const_cast<T>(expr))
++#elif \
++  JSON_HEDLEY_HAS_WARNING("-Wcast-qual") || \
++  JSON_HEDLEY_GCC_VERSION_CHECK(4,6,0) || \
++  JSON_HEDLEY_INTEL_VERSION_CHECK(13,0,0)
++#  define JSON_HEDLEY_CONST_CAST(T, expr) (__extension__ ({ \
++        JSON_HEDLEY_DIAGNOSTIC_PUSH \
++        JSON_HEDLEY_DIAGNOSTIC_DISABLE_CAST_QUAL \
++        ((T) (expr)); \
++        JSON_HEDLEY_DIAGNOSTIC_POP \
++    }))
++#else
++#  define JSON_HEDLEY_CONST_CAST(T, expr) ((T) (expr))
++#endif
++
++#if defined(JSON_HEDLEY_REINTERPRET_CAST)
++    #undef JSON_HEDLEY_REINTERPRET_CAST
++#endif
++#if defined(__cplusplus)
++    #define JSON_HEDLEY_REINTERP
\ No newline at end of file