Description of the Interface Structures

 

The base structure implementing the multiresolution concepts is HMesh3d and HMesh2d for three and two space dimensions respectively. For the description of the implementational aspects we will always restrict to either the three dimesional or the two dimensional case, as the concepts for both situations are transferable. The hierarchical concept (HMesh3d) is implemented as a subclass of Mesh3d. Additionally to Mesh3d, which deals with non-hierarchical meshes, (HMesh3d) is enlarged by the hierarchical element functionality and expanded interface structures. Although MESH3D has already been described in an earlier paper [34], its documentation is in revised form listed once more for the sake of completeness and with respect to actualizations.