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FEniCS Workshop

The finite element method

Motivation
Galerkin methods
Defining a finite element (FE)
Advanced finite elements
Visualization and outputting formats

An introduction to the Unified Form Language (UFL)

Introduction to the Unified Form Language
The UFL forms
PDE-constrained optimization problems

The FEniCSx Form Compiler (FFCx)

Generating code for assembling tensors
Using compiled forms in DOLFINx
The standard way of compiling code with DOLFINx

DOLFINx Deep dive

Mixed finite element problems
Efficient usage of the Unified Form Language
PETSc solving interface
Function and expression evaluation
Integration over sub-domains
Approximation with continuous and discontinuous finite elements

Meshes in DOLFINx

Mesh generation
Meshes from external sources
Reading in meshes in parallel

Applications

Optimal control in DOLFINx interfacing with scipy
Multiphysics: Solving PDEs on subdomains
Coupling PDEs of multiple dimensions

Glossary

Glossary

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By Jørgen S. Dokken

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Last updated on Oct 22, 2024.