Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles

Abstract. We investigate an overlapping solution technique to compute the scattering of time-harmonic electromagnetic waves in two dimensions. The technique can be used to compute waves scattered by penetrable anisotropic inhomogeneous scatterers or impenetrable obstacles. The major focus is on implementing the method using finite elements. We prove existence of a unique solution to the disctretized problem and derive an optimal convergence rate for the scheme, which is verified numerical by examples. Key words. Anisotropic, finite element, electromagnetic scattering AMS subject classifications. 35Q60, 65N30 1. Introduction. W