The Direct and Inverse Scattering Problems for Partially Coated Obstacles
Date
2002
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematical Sciences
Abstract
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.