Hierarchical tangential vector finite elements for tetrahedra

被引：55

作者：

Andersen, LS ^{[1
]}

Volakis, JL ^{[1
]}

机构：

[1] Univ Michigan, Dept Elect Engn & Comp Sci, Radiat Lab, Ann Arbor, MI 48109 USA

来源：

IEEE MICROWAVE AND GUIDED WAVE LETTERS | 1998年 / 8卷 / 03期

关键词：

finite-element method; hierarchical basis functions sets; higher order basis functions;

D O I：

10.1109/75.661137

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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

引用

页码：127 / 129

页数：3

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