Article ID Journal Published Year Pages File Type
4640907 Journal of Computational and Applied Mathematics 2010 9 Pages PDF
Abstract

We derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is a coupled surface–volume system of integral equations with weakly singular kernels. The analysis of the coupled system is based on standard Fredholm integral equations, and it is used to derive properties of the volume integral equation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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