Add matrix-free solver python demo #3028
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* add poisson matrix free demo for python * add matrix-free CG variants using KSP * add documentation to matrix-free Poisson demo * Fix typos in C++ demo * Improve documentation of Python demo * Fix MPI parallelization, remove variant using NumPy arrays * Documentation, code cleanup * Improve documentation * Adapt according to #2579 (and trigger GitHub actions again) * Call only once for the action * Replace some ghostUpdate calls with scatter_forward --------- Co-authored-by: Igor Baratta <igorbaratta@gmail.com> Co-authored-by: Garth N. Wells <gnw20@cam.ac.uk>
…nx into igor/matrix-free-demo
…nx into igor/matrix-free-demo
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mscroggs
reviewed
Feb 13, 2024
Contributor
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It turned out there were quite a lot of fixes needed to the documentation for this... but now I think is pretty good. |
Contributor
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Just a couple of typos and things that I've spotted. Will push soon. |
nate-sime
reviewed
Feb 14, 2024
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| # This matrix-free solver is now used to compute the finite element solution. | ||
| # The finite element solution's approximation error as compared with the | ||
| # exact solution is measured in the $L_2$-norm. |
Contributor
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The solution selected here is actually exactly represented in the FE space chosen. What we're measuring is the iterative solver error as propagated to the FE solution in the L2 norm. If we chose u_D to be something not in
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Good point, I think we should use something not in
IgorBaratta
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Feb 14, 2024
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Based on PR #2517 (by @juliusgh).
Updated PR adding tensor product based elements and mesh.