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phfranz / pinns_for_comp_mech

Implementation of Physics-Informed Neural Networks for Computational Mechanics based on the DeepXDE package.

MIT License

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Open phfranz opened 6 months ago

phfranz commented 6 months ago

[x] create 3D hexahedral mesh
[ ] adapt get_element function and coordinate mapping
[ ] adapt find_boundary_normal to 3d: https://gmsh.info/doc/texinfo/gmsh.html#x5
[ ] enter Poisson equation and impose boundary conditions
[ ] find reference solution from literature

maxdanwitz commented 6 months ago

I guess we want to allow for the inhomogeneous case as well, which is then usually called Poisson equation.

For the reference solution, you can check the literature or experiment with pdesol. Droping the term with the time derivative from the heat equation, you obtain Poisson.
https://github.com/imcs-compsim/pdesol/blob/main/heatEquationAndAD/3d/sin3d.py

phfranz commented 6 months ago

Thank you very much for your comments and hints, Max. I will do that!