Domain decomposition and additive Schwarz techniques in the solution of a TE model of the scattering by an electrically deep cavity

Abstract

Two techniques are coupled to solve a model problem relative to the scattering of a 2D time-harmonic electromagnetic wave by an obstacle including an electrically deep cavity. Both of them are based on a boundary element method. The first technique uses a domain decomposition procedure to reduce the contribution of the cavity to a set of equations supported by the aperture. The second one is an additive Schwarz procedure to solve the problem after the reduction of the cavity. Numerical results are reported to give an insight into the approach.