HO-SIE Based Domain Decomposition Method for Solving Multiscale EM Scattering Problems

Abstract

In this paper, a novel non-overlapping and noncon-formal domain decomposition method (DDM) based on surface integral equation (SIE) is developed for the electromagnetic (EM) scattering analysis of multiscale PEC objects. In this work, by adopting an interior penalty term, a discontinuous Galerkin approach can be utilized to avoid the introduction of artificial touching faces between adjacent subdomains and avoid the introduction of stabilization term depending on the line integral over interactions of nonconformal meshes. To enhance the efficiency of modeling subdomains, higher order hierarchical vector (HOHV) basis functions defined on curved triangular patches are used in this SIE to reduce computational cost. Moreover, an additive non-overlapping DD preconditioner is also constructed for the fast iterative solution. Two numerical results are given to demonstrate the validity of this HO-SIE-DDM.