A matrix splitting DDM based on SVE-BI for multiple conducting bodies coated by thin layer dielectric

Abstract

A matrix splitting domain decomposition method based on hybrid shell vector element-boundary integral (MSDD-SVE-BI) for three dimensional electromagnetic scattering from multiple conducting bodies coated by thin layer dielectric is proposed. In the framework of domain decomposition, the whole computational domains are divided into a lot of sub-SVE-domains and boundary element domains. For conducting body coated with thin-layer dielectric, the shell vector element is used instead of traditional tetrahedral elements to reduce the number of unknowns. Further, a block Gauss-Seidel type preconditioner is applied to attain fast matrix splitting formulation for the matrix connecting surface electric field and surface magnetic field. By this method, only sub-matrix inversion is required in the SVE-BI method, the computational time for connecting matrix can be reduced greatly. Several numerical examples prove the accuracy and efficiency of the present method.