Abstract
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 subdivisions and multi-level hanging nodes not using hierarchical or multi-level information of subdivisions. Moreover, the problem of edge and face orientations is considered.
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Schröder, A. (2011). Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_29
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DOI: https://doi.org/10.1007/978-3-642-15337-2_29
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