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Computing electromagnetic eigenmodes with continuous Galerkin approximations

Patrick Ciarlet 1 Grace Hechme 1 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : Costabel and Dauge proposed a variational setting to solve numerically the time-harmonic Maxwell equations in 3D polyhedral geometries, with a continuous approximation of the electromagnetic field. In order to remove spurious eigenmodes, three computational strategies are then possible. The original method, which requires a parameterization of the variational formulation. The second method, which is based on an a posteriori filtering of the computed eigenmodes. And the third method, which uses a mixed variational setting so that all spurious modes are removed a priori. In this paper, we discuss the relative merits of the approaches, which are illustrated by a series of 3D numerical examples. © 2008 Elsevier B.V. All rights reserved.
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Submitted on : Thursday, October 17, 2013 - 10:31:42 AM
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Patrick Ciarlet, Grace Hechme. Computing electromagnetic eigenmodes with continuous Galerkin approximations. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2008, 198 (2), pp.358-365. ⟨10.1016/j.cma.2008.08.005⟩. ⟨hal-00873075⟩



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