Performance Evaluation of Iterative Methods for Complex Symmetric Systems from High Frequency Electromagnetic Field Simulation

Abstract

This paper describes iterative methods for high frequency electromagnetic analysis using the finite element method of Maxwell equations including displacement current. For solving a complex symmetric system arising from the formulation of the E method, the conjugate orthogonal conjugate gradient method has been used. However, large-scale problems suffer from low convergence rate or no convergence. In this paper, to solve such a complex symmetric system, an iterative method like the minimal residual method is developed. The developed method shows a stable convergence behavior and a high convergence rate as compared to other iterative methods. Moreover, to treat a large-scale system on a parallel computer efficiently, an iterative substructuring method is also developed.