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This project investigates the impact of the convergence results described in the paper "Asymptotic convergence of PFASST for linear problems".
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We use 1D heat equation and advection equation to show how PFASST converges in the stiff as well as in the non-stiff limit.
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Note that due to the long runtime, not all results are not generated via Travis.
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Organisation of the project
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- ``conv_test_to0.py`` and ``conv_test_toinf.py``: plots spectral radius of the smoother's iteration matrix for different eigenvalues. See Figures 1 and 2 in the paper.
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- ``smoother_specrad_heatmap.py``: generates heatmap of the spectral radius of the smoother's iteration matrix for different eigenvalues in the test equation. See Figure 3.
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- ``PFASST_conv_tests.py`` and ``PFASST_conv_Linf.py``: runs PFASST for advection and diffusion checking teh iteration counts until convergence. See Figures 4 and 5.
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