The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. Typical problem areas of interest include structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.
Analysis of an arbitrary cross-section in python using the finite element method.
FEM mode solver for photonic waveguides
UFL - Unified Form Language
FIAT is now maintained at https://github.com/firedrakeproject/
Easily mesh collections of 2D and 3D polygons with complex extrusions using GMSH
Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"
Finite Element Method for Electrochemical Transport (EchemFEM)
Abaqus 6.14 plugin for user-defined constitutive models testing
Script for the generation of finite-thickness interface elements for polycrystal microstructure modelling
Finite element tool to design steel wide-flange (WF) beams and create detailed output report using Latex
A Riks arclength solver implemented in FEniCS
OASiS — an open-source agentic framework for verified multi-physics, multi-code simulation. MCP server letting any AI model drive eight FEM/multiphysics codes (FEniCSx, deal.II, 4C, NGSolve, scikit-fem, Kratos, DUNE-fem, FEBio) plus the SPARTA DSMC particle code, with curated knowledge, verified execution, and cross-code coupling.
Computational Biophysics for Medicine in 3D Slicer
Truncated Hierarchical B-Splines in Python
Finite element method for solving the electromagnetic Helmholtz equation. Based on scikit-fem and scipy.
Analysis and Optimization of Truss Structures using Genetic Algorithms
The firedrake-ts library provides an interface to PETSc TS for the scalable solution of DAEs arising from the discretization of time-dependent PDEs.
An Automized Partial Differential Equation solver based on JAX
Python code for solving 3D structural problems with uncertainties using the finite element method
Calculates the eigendecomposition of the Laplace-Beltrami operator on charts of Riemannian manifolds. Moved to https://git.sr.ht/~jmbr/laplace-beltrami-eigensolver