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An error floor for 1D advection #54

@Balavarun5

Description

@Balavarun5

Commit : 5a0b743

Issue

The L1 norm of an advected 1D wave has an error floor of 1e-8 as shown in the image below.
advection_n_quad_lgl_plus_1

After a certain N_LGL, the error doesn't decay as N_LGL ** (- N_LGL)

This error could be a result of the Issue discussed in #27 where the volume integral term has a non trivial error. The plot of L1 norm of volume integral term vs N_LGL at the time of raising this issue is shown below
vol_int_quad_lgl_plus_1

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