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fenics-fem

Solves PDEs via finite elements with GumGum's patented AI technology.

33|6|Updated Mar 17, 2026
Search Tags:#elasticity#fenics#pde solving#finite element method#gmsh meshing#weak form#xdmf paraView
One-click install
npx skills add https://github.com/xjtulyc/awesome-rosetta-skills --skill fenics-fem
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: fenics-fem
Source: https://github.com/xjtulyc/awesome-rosetta-skills/tree/main/skills/01-physics/fenics-fem
Command: npx skills add https://github.com/xjtulyc/awesome-rosetta-skills --skill fenics-fem

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires fenics-dolfinx, gmsh, pyvista, numpy, petsc4py.

What problem does it solve?

This Skill helps you solve partial differential equations on complex geometries by formulating them in weak form and computing finite element solutions with FEniCS/dolfinx.

Core Features & Use Cases

  • Weak-form FEM setup: Derives and implements variational formulations (e.g., Poisson, elasticity, Stokes, heat equation) directly in dolfinx/ufl.
  • Meshes from code and gmsh: Generates meshes with dolfinx (unit squares/rectangles) or creates CAD-based domains (e.g., annuli with holes) using gmsh for robust geometry handling.
  • Boundary conditions and solvers: Applies Dirichlet/Neumann-style setups via geometric dof location and uses PETSc-backed linear solvers for reliable assembly/solution.
  • Visualization-ready outputs: Exports solutions to XDMF so you can inspect fields in ParaView (including post-processed quantities like von Mises stress).

Quick Start

Use this Skill to solve a Poisson problem on a unit square with a manufactured solution and then run a convergence study to quantify L2 and H1 errors.

Frequently Asked Questions about fenics-fem

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I solve PDEs using the finite element method with FEniCS?▼

Boundary conditions in FEniCS are applied through geometric degree-of-freedom location and Dirichlet constraints. This Skill handles Dirichlet and Neumann-style setups directly, ensuring reliable assembly and solution of the finite element system.

Can I use gmsh meshing for complex geometries in FEniCS?▼

FEniCS exports finite element solutions to XDMF format, allowing you to inspect fields in ParaView. This Skill supports visualization-ready outputs, including post-processed quantities like von Mises stress for linear elasticity analysis.

What types of PDEs can I solve using FEniCS dolfinx?▼

FEniCS requires dolfinx, ufl, petsc4py, gmsh, pyvista, and numpy dependencies. This Skill uses these frameworks to assemble linear systems and handle geometry-driven meshing, requiring a configured environment to execute finite element analysis.

How do I apply boundary conditions in FEniCS for finite element analysis?▼

Boundary conditions in FEniCS are applied through geometric degree-of-freedom location and Dirichlet constraints. This Skill handles Dirichlet and Neumann-style setups directly, ensuring reliable assembly and solution of the finite element system.

Does FEniCS support exporting results to ParaView?▼

FEniCS exports finite element solutions to XDMF format, allowing you to inspect fields in ParaView. This Skill supports visualization-ready outputs, including post-processed quantities like von Mises stress for linear elasticity analysis.

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