Hello everyone, I am new to FeniCS and trying to learn it for a school project by implementing the Allen-Cahn equation: \frac{\partial \varphi}{\partial t } = \nabla^2 \varphi +\varphi -\varphi^3 Its variational formulation is as follows: \int_{\Omega}\varphi_{n+1} v \,d\Omega = \int_{\Omega}\v…

Thank you very much! i have update the post

Please note that you should first: [image] AymaneGr: problem = LinearProblem(a(u,v), L(v),mpc) Move this outside of your temporal loop, as it does not change within the loop.

This is what I would do: import dolfinx from mpi4py import MPI import numpy as np import gmsh import dolfinx.fem as fem import dolfinx.mesh as mesh import dolfinx.io as io import dolfinx.plot as plot import ufl from mpi4py import MPI from dolfinx_mpc import LinearProblem, MultiPointConstraint ## G…

Hi @AymaneGr @dokken I’m kinda new to this (phase- :slight_smile: ) field. Can we use this model to simulate grain growth in a microstructure? Like this: [image] Taken from this paper

Correct implementation of AllenCahn

variational formulation

francesco-ballarin February 3, 2024, 5:33am 2

Please read Read before posting: How do I get my question answered?. We cannot comment unless you post the full code.

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Correct implementation of AllenCahn

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