Multi-Trace Multi-Screen Methods for Mixed Transmission/Scattering Problems

In this contribution a novel fast-converging integral equation method is introduced that can be used to solve the mixed transmission/scattering problems by composite structures including multiple domains and metallic coatings that can contain junctions. This is achieved by combining the global multi-trace method with the quotient space discretisation of the multi-screen boundary integral equation. The method is illustrated by means of a sufficiently general geometry, the discretisation is discussed, and an effective Calderon multiplicative preconditioner is introduced. Numerical results corroborate the correctness and efficiency of the method.