Phase-Accuracy Comparisons and Improved Far-Field Estimates for 3-D Edge Elements on Tetrahedral Meshes |
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Authors: | Peter Monk Kevin Parrott |
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Institution: | Department of Mathematical Sciences, University of Delaware, Newark, Delaware, 19711, f1;Computing and Mathematical Sciences, University of Greenwich, 30 Park Row, London, SE10 9LS, United Kingdom, f2 |
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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 edge-element 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. |
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Keywords: | Abbreviations: Maxwell's equationsAbbreviations: edge elementsAbbreviations: dispersion relationsAbbreviations: tetrahedral meshes |
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