Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System
Date
2002
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematical Sciences
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.