The Mesh

In the finite element environment the purpose of the mesh is to discretize and approximate the spatial domain \(\Omega\) of the considered partial differential equation.

In Py\(\small\mathbb{SOFE}\) the mesh is defined by its geometry and a topology implemented in the respective classes MeshGeometry and MeshTopology which is a concept similar to the one presented in [Log09]. Furthermore, it stores a family of reference maps, implemented in the ReferenceMap class, that connect the physical mesh entities to a reference domain.

• The Mesh Geometry
• The Mesh Topology