poisson_2d

poisson_2d, a FreeFem++ code which solves the steady Poisson equation in a square.

The exact solution is known, so we can compare the FEM result with it.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

poisson_2d is available in a C version and a FENICS version and a FreeFem version and a MATLAB version and an Octave version and a Python version.

Reference:

1. John Chrispell, Jason Howell,
   Finite Element Approximation of Partial Differential Equations Using FreeFem++, or, How I Learned to Stop Worrying and Love Numerical Analysis.
2. Frederic Hecht,
   New development in FreeFem++,
   Journal of Numerical Mathematics,
   Volume 20, Number 3-4, 2012, pages 251-265.

Source Code:

• poisson_2d.edp, the script.
• poisson_2d.sh, runs all the tests.
• poisson_2d.txt, the output file.

• poisson_2d_fem.png, a contour plot of the FEM solution.
• poisson_2d_exact.png, a contour plot of the exact solution.