interpolant
Define a Function with a Mesh and Values

interpolant, a FENICS script which shows how to define a function in FENICS by supplying a mesh and the function values at the nodes of that mesh, so that FENICS works with the finite element interpolant of that data.

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

1. cd $HOME/fenicsproject/interpolant
2. fenicsproject run
3. python3 interpolant.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:

• interpolant.py a script which sets up and solves the problem.
• interpolant.txt the output file.
• interpolant_mesh.xml an XML file describing the mesh.
• interpolant_values.txt a list of the function values at the vertices of the mesh.
• interpolant_mesh.png a plot of the mesh.
• interpolant_values.png a plot of the interpolant function.
• formula_values.png a plot of function values, evaluated by a formula.