2003 | OriginalPaper | Buchkapitel
A Simple Proof of Convergence for an Edge Element Discretization of Maxwell’s Equations
verfasst von : Peter Monk
Erschienen in: Computational Electromagnetics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The time harmonic Maxwell’s equations for a lossless medium are neither elliptic or definite. Hence the analysis of numerical schemes for these equations presents some unusual difficulties. In this paper we give a simple proof, based on the use of duality, for the convergence of edge finite element methods applied to the cavity problem for Maxwell’s equations. The cavity is assumed to be a general Lipschitz polyhedron, and the mesh is assumed to be regular but not quasi-uniform.