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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2008

Computing electromagnetic eigenmodes with continuous Galerkin approximations

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.

Dates and versions

hal-00873075 , version 1 (17-10-2013)

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Patrick Ciarlet, Grace Hechme. Computing electromagnetic eigenmodes with continuous Galerkin approximations. Computer Methods in Applied Mechanics and Engineering, 2008, 198 (2), pp.358-365. ⟨10.1016/j.cma.2008.08.005⟩. ⟨hal-00873075⟩
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