ell
The Poisson Problem on the L-shaped Region

ell, a FENICS script which uses the finite element method to solve a version of the Poisson equation over the L-shaped region.

Note that I have installed FENICS using Docker, and so to run this script I issue the commands:

1. cd $HOME/fenicsproject/ell
2. fenicsproject run
3. python3 ell.py
4. exit

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Reference:

1. Hans Petter Langtangen, Anders Logg,
   Solving PDEs in Python - The FEniCS Tutorial Volume 1.

Source Code:

• ell.py a script which sets up and solves the problem.
• ell.txt the output file.
• ell_mesh.xml the mesh to be used.
• ell_solution.png a plot of the solution.
• ell_solution.xml the mesh values of the solution.