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Hierarchical tangential vector finite elements for tetrahedra

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2 Author(s)
Andersen, L.S. ; Radiation Lab., Michigan Univ., Ann Arbor, MI, USA ; Volakis, J.L.

Tangential vector finite elements (TVFEs) overcome most of the shortcomings of node-based finite elements for electromagnetic simulations. Hierarchical TVFEs are of considerable practical interest since they allow use of effective selective field expansions where different order TVFEs are combined within a computational domain. For a tetrahedral element, this letter proposes a set of hierarchical mixed-order TVFEs up to and including order 2.5 that differ from previously presented TVFEs. The hierarchical mixed-order TVFEs are constructed as the three-dimensional equivalent of hierarchical mixed-order TVFEs for a triangular element. They can be formulated for higher orders than 2.5, and the generalization to curved tetrahedral elements is straightforward

Published in:

Microwave and Guided Wave Letters, IEEE  (Volume:8 ,  Issue: 3 )