Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System
| Author(s) | Hsiao, George C. | |
| Author(s) | Monk, Peter B. | |
| Author(s) | Nigam, N. | |
| Date Accessioned | 2005-02-16T20:34:05Z | |
| Date Available | 2005-02-16T20:34:05Z | |
| Publication Date | 2002 | |
| Abstract | In 1996 Hazard and Lenoir suggested a variational formulation of Maxwell's equations using an overlapping integral equation and volume representation of the solution. They suggested a numerical scheme based on this approach, but no error analysis was provided. In this paper, we provide a convergence analysis of an edge finite element scheme for the method. The analysis uses the theory of collectively compact operators. It's novelty is that a perturbation argument is needed to obtain error estimates for the solution of the discrete problem that is best suited for implementation. | en |
| Extent | 345400 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/330 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2002-06 | |
| Title | Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System | en |
| Type | Technical Report | en |