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A unified Nyström/Galerkin method for for multiscale problems

Abstract:

Integral equation methods are widely used in computational electromagnetics (CEM). Galerkin and Nystrom are two possible schemes to discretize any integral equation. Among the CEM community, Galerkin is by far the most common scheme used. Nystrom has some advantages when dealing with second kind integral equations, nevertheless it has some disadvantages when dealing with multiscale geometries. In this paper we propose a fix for that and apply this to the Charge-current integral equation.