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Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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.

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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.