A Parallel Hierarchical Solver for the Integral Equation Analysis of Low Frequency Devices

Abstract

A hierarchical marching-on-in-time (MOT)-based scheme to discretize and solve the time domain electric field integral equation (EFIE) is presented. The scheme is immune to time domain low-frequency breakdown phenomena and gives rise to better conditioned linear systems than the ones obtained using standard Rao-Wilton-Glisson (RWG) and loop-star bases. The proposed method is implemented on a distributed memory cluster and applied to the analysis of transient wave interactions with an 88-port printed circuit board structure and a three-layer stacked inductor.