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Computation of Maxwell eigenvalues using higher order edge elements in three dimensions

Ainsworth, M. and Coyle, J. and Ledger, P. and Morgan, K. (2003) Computation of Maxwell eigenvalues using higher order edge elements in three dimensions. IEEE Transactions on Magnetics, 39 (5). pp. 2149-2153. ISSN 0018-9464

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Abstract

We use recently proposed hierarchic basis functions and a tetrahedral partitioning to compute Maxwell eigenvalues on a bounded polygonal domain in /spl Ropf//sup 3/, using a p-version finite-element procedure based on edge elements. The problem formulation requires a set of basis functions that are H(curl)-conforming and another compatible set that is H/sup 1/-conforming. In this preliminary study, we employ a uniform order of approximation throughout the domain.