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 |