VSIE-Based Domain Decomposition Method With Simplified Prism Vector Basis Functions for Planar Thin Dielectric-Conductor Composite Objects

A nonoverlapping and nonconforming volume-sur-face integral equation (VSIE) domain decomposition method (DDM) using simplified prism vector (SPV) basis functions is presented for complex electrically large composite planar thin dielectric-perfect electric conductor objects. Compared with the recently developed SPV-based VSIE, this scheme considerably accelerates the convergence of iterative solutions by an effective preconditioner resulted from the DDM. Moreover, this DDM does not require imposing continuity conditions at the interfaces between adjacent subdomains, and the use of discontinuous Galerkin approach allows the nonconforming volume discretizations. Due to the nonconforming nature, subdomains can be built up separately, resulting in a flexible and convenient geometrical modeling. For composite subdomains involving thin dielectric layers, the full/half SPV basis is applied so that, in comparison with the generally used Schaubert-Wilton-Glisson basis, the number of unknowns is remarkably reduced. Several numerical examples are reported to illustrate the efficiency and fast convergence of this scheme.