Finite Element Method for Approximating Electro-Magnetic Scattering from a Conducting Object
Author(s) | Kirsch, A. | |
Author(s) | Monk, Peter B. | |
Date Accessioned | 2005-02-18T18:06:56Z | |
Date Available | 2005-02-18T18:06:56Z | |
Publication Date | 2000 | |
Abstract | We provide an error analysis of a fully discrete finite element – Fourier series method for approximating Maxwell’s equations. The problem is to approximate the electromagnetic field scattered by a bounded, inhomogeneous and anisotropic body. The method is to truncate the domain of the calculation using a series solution of the field away from this domain. We first prove a decomposition for the Poincare-Steklov operator on this boundary into an isomorphism and a compact perturbation. This is proved using a novel argument in which the scattering problem is viewed as a perturbation of the free space problem. Using this decomposition, and edge elements to discretize the interior problem, we prove an optimal error estimate for the overall problem. | en |
Extent | 287894 bytes | |
MIME type | application/pdf | |
URL | http://udspace.udel.edu/handle/19716/364 | |
Language | en_US | |
Publisher | Department of Mathematical Sciences | en |
Part of Series | Technical Report: 2000-12 | |
Title | Finite Element Method for Approximating Electro-Magnetic Scattering from a Conducting Object | en |
Type | Technical Report | en |