Demo documentation

Using the Python interface

Introductory DOLFIN demos

These demos illustrate core DOLFIN/FEniCS usage and are a good way to begin learning FEniCS. We recommend that you go through these examples in the given order.

1. Getting started: Solving the Poisson equation.
2. Solving nonlinear PDEs: Solving a nonlinear Poisson equation
3. Using mixed elements: Solving the Stokes equations
4. Using iterative linear solvers: Solving the Stokes equations more efficiently

More advanced DOLFIN demos

These examples typically demonstrate how to solve a certain PDE using more advanced techniques. We recommend that you take a look at these demos for tips and tricks on how to use more advanced or lower-level functionality and optimizations.

• Implementing a nonlinear hyperelasticity equation
• Using a mixed formulation to solve the time-dependent, nonlinear Cahn-Hilliard equation
• Computing eigenvalues of the Maxwell eigenvalue problem

All documented Python demos

• Poisson equation
• A simple eigenvalue solver
• Built-in meshes
• Mixed formulation for Poisson equation
• Biharmonic equation
• Auto adaptive Poisson equation
• Cahn-Hilliard equation
• Stable and unstable finite elements for the Maxwell eigenvalue problem
• Hyperelasticity
• Nonlinear Poisson equation
• Interpolation from a non-matching mesh

Using the C++ interface

All documented C++ demos

• Poisson equation (C++)
• A simple eigenvalue solver (C++)
• Built-in meshes
• Mixed formulation for Poisson equation (C++)
• Biharmonic equation (C++)
• Auto adaptive Poisson equation (C++)
• Interpolation from a non-matching mesh
• Hyperelasticity (C++)