A Domain Decomposition Scheme With Curvilinear Discretizations for Solving Large and Complex PEC Scattering Problems

Abstract

A nonconformal and nonoverlapping domain decomposition (DD) scheme for surface integral equations is presented to analyze electromagnetic scattering from electrically large and complex perfect electric conducting objects. In this work, a discontinuous Galerkin approach is employed to avoid the introduction of artificial touching faces between adjacent subdomains. To weakly enforce the current continuity at the cutting contours of these subdomains, a novel interior penalty term is defined so that the error energy associated with the error charges can be minimized. Consequently, without the introduction of a stabilization term that relies on the line integral over interactions of nonmatching meshes, the proposed method provides an effective DD preconditioner and requires no effort to be extended to curvilinear elements for higher modeling accuracy. To show this, curvilinear Rao–Wilton–Glisson basis functions defined over curvilinear elements are employed in this work to demonstrate the accuracy and efficiency of the proposed DD scheme.