Browsing by Author "Nigam, N."
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Item Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System(Department of Mathematical Sciences, 2002) Hsiao, George C.; Monk, Peter B.; Nigam, N.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.