Hsiao, George C.Monk, Peter B.Nigam, N.2005-02-162005-02-162002http://udspace.udel.edu/handle/19716/330In 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.345400 bytesapplication/pdfen-USError Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell SystemTechnical Report