Demos#
These demos illustrate DOLFINx usage. Starting with Poisson equation is recommended.
PDEs (introductory)#
PDEs (advanced)#
- Mixed formulation of the Poisson equation with a block-preconditioner/solver # noqa
- Stokes equations using Taylor-Hood elements
- Divergence conforming discontinuous Galerkin method for the Navier–Stokes equations # noqa
- Elasticity using algebraic multigrid
- Cahn-Hilliard equation
- Static condensation of linear elasticity
- Biharmonic equation
- Solving PDEs with different scalar (float) types
- Matrix-free conjugate gradient solver for the Poisson equation
- Solve the Poisson and linearised elasticity equations using pyamg
- HDG scheme for the Poisson equation
- Poisson equation
- Matrix-free solvers in DOLFINx using PETSc
Nonlinear problems#
Mesh generation#
Interpolation, IO and visualisation#
Advanced iterative solvers#
User-defined and advanced finite elements#
Parallel communication analysis#
List of all demos#
- Poisson equation
- Biharmonic equation
- Cahn-Hilliard equation
- Stokes equations using Taylor-Hood elements
- Elasticity using algebraic multigrid
- Mesh generation with Gmsh
- Helmholtz equation
- Static condensation of linear elasticity
- Visualization with PyVista
- Interpolation and IO
- Solving PDEs with different scalar (float) types
- Variants of Lagrange elements
- Creating TNT elements using Basix’s custom element interface
- Electromagnetic scattering from a wire with scattering BCs
- Electromagnetic scattering from a wire with PML
- Mesh generation with GMSH
- Electromagnetic modal analysis for a waveguide
- Electromagnetic scattering from a sphere (axisymmetric)
- Divergence conforming discontinuous Galerkin method for the Navier–Stokes equations # noqa
- Mixed formulation of the Poisson equation with a block-preconditioner/solver # noqa
- Solve the Poisson and linearised elasticity equations using pyamg
- HDG scheme for the Poisson equation
- Poisson equation
- Parallel communication pattern analysis