Virtual Element Methods: the DUNE-VEM module

demo notebook demo script Cahn-Hilliard notebook Cahn-Hilliard script

This module is based on dune-fem and provides implementation for the Virtual Element Method. You can install the package from Pypi by running pip install dune-vem. The sources for the methods is available in the dune-vem git repository. See our publication for details on our approach to add virtual element spaces to existing finite element software frameworks. The examples from the paper can be reproduced using the scripts collected in https://gitlab.dune-project.org/dune-fem/dune-vem-paper. For a focus on the analysis and testing of spaces for forth order problems have a look here.

• Elliptic Problems
• Nonlinear Elliptic Problem
• Linear Elasticity
• Fourth order problem
• Cahn-Hilliard