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fenics-fem

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Use this Skill to solve PDEs with the finite element method using FEniCS/dolfinx: weak form formulation, mesh generation with gmsh, Poisson/elasticity problems, boundary conditions, and paraview export.

Skill/abaqus/reference/fenics-fem/SKILL.md

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# FEniCS Finite Element Method for PDEs

> **TL;DR** — Solve partial differential equations with the Finite Element Method (FEM)
> using FEniCS/dolfinx. Derive the weak form, generate meshes with gmsh, apply
> Dirichlet/Neumann boundary conditions, solve Poisson or elasticity problems,
> and export results to XDMF/VTK for ParaView.

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## When to Use

Use this Skill when you need to:

- Solve elliptic, parabolic, or hyperbolic PDEs on complex geometries