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Zbl 1194.78053
Ciarlet, Patrick jun.; Hechme, Grace
Computing electromagnetic eigenmodes with continuous Galerkin approximations. (English)
[J] Comput. Methods Appl. Mech. Eng. 198, No. 2, 358-365 (2008). ISSN 0045-7825

Summary: 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.

MSC 2000:: *78M10 Finite element methods (optics)
78A25 General electromagnetic theory

Keywords: electromagnetism; continuous Galerkin discretization; eigenvalues and eigenvectors computations

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