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

Mark Ainsworth, Joe Coyle

Research output: Contribution to journalArticle

73 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)6709-6733
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Volume190
Issue number49-50
DOIs
Publication statusPublished - 12 Oct 2001

Keywords

  • Time-harmonic Maxwell's equations
  • Computational electromagnetism
  • Hierarchic edge elements
  • Hybrid meshes

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