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Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes

Ainsworth, Mark and Coyle, Joe (2001) Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes. Computer Methods in Applied Mechanics and Engineering, 190 (49-50). pp. 6709-6733. ISSN 0045-7825

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Abstract

We construct and study a set of hierarchic basis functions for the Galerkin discretisation of the space H(curl;Φ#169;) suitable for hybrid meshes containing both quadrilateral and triangular elements with arbitrary non-uniform order polynomial approximation. We investigate the conditioning and dispersive behaviour of the elements. In addition, numerical examples are shown which demonstrate the accuracy of the space for computing solutions of the time-harmonic Maxwell's equations that have singularities.

Item type: Article
ID code: 1999
Keywords: Time-harmonic Maxwell's equations, Computational electromagnetism, Hierarchic edge elements, Hybrid meshes, Mathematics, Physics and Astronomy(all), Mechanics of Materials, Mechanical Engineering, Computational Mechanics, Computer Science Applications
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 25 Mar 2007
    Last modified: 04 Sep 2014 10:52
    URI: http://strathprints.strath.ac.uk/id/eprint/1999

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