Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes [chapter]

Andreas Schröder
2010 Lecture Notes in Computational Science and Engineering  
In conform hp-finite element schemes on irregular meshes, one has to ensure the finite element functions to be continuous across edges and faces in the presence of hanging nodes. A key approach is to constrain the appropriate shape functions using so-called connectivity matrices. In this work the connectivity matrices for hierarchical tensor product shape functions are explicitly determined. In particular, the presented approach includes both unsymmetric subdivsions and multlilevel hanging
more » ... ilevel hanging nodes not using hierarchical or multi-level information of subdivions. Moreover, the problem of edge and face orientations is considered.
doi:10.1007/978-3-642-15337-2_29 fatcat:a7ieefnptzfnpfuphw67m2d7ye