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Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes

Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes

Monk, Peter and Parrott, Kevin (2001) Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes. Journal of Computational Physics, 170 (2). pp. 614-641. ISSN 0021-9991 (doi:10.1006/jcph.2001.6753)

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Abstract

Edge-element methods have proved very effective for 3-D electromagnetic computations and are widely used on unstructured meshes. However, the accuracy of standard edge elements can be criticised because of their low order. This paper analyses discrete dispersion relations together with numerical propagation accuracy to determine the effect of tetrahedral shape on the phase accuracy of standard 3-D edgeelement approximations in comparison to other methods. Scattering computations for the sphere obtained with edge elements are compared with results obtained with vertex elements, and a new formulation of the far-field integral approximations for use with edge elements is shown to give improved cross sections over conventional formulations.

Item Type: Article
Additional Information: [1] Published in print: 1 July 2001. [2] Published online: 12 March 2002.
Uncontrolled Keywords: Maxwell's equations, edge elements, dispersion relations, tetrahedral meshes
Subjects: Q Science > QA Mathematics > QA76 Computer software
Q Science > QC Physics
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
School of Computing & Mathematical Sciences > Computer & Computational Science Research Group
School of Computing & Mathematical Sciences > Department of Computer Science
School of Computing & Mathematical Sciences > Department of Mathematical Sciences
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Last Modified: 14 Oct 2016 09:00
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/314

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