Parallelization Performance of Preconditioned COMRTR Method Supported by Multicolor Ordering in Complex Symmetric Linear Systems Derived from Frequency-domain Electromagnetic Field Analysis using Edge-based Finite Element Method

Abstract

The parallelization of preconditioned Krylov subspace method is essential for the fast electromagnetic field analysis using edge-based finite element method (FEM). Recently, the parallelization of preconditioned Minimized Residual method based on the Three-term Recurrence formula of the CG-type (MRTR) method by means of multicolor (MC) ordering was demonstrated on the real symmetric linear systems arising in edge-based FEM. Then, this paper investigates the parallelization performance of preconditioned conjugate orthogonal MRTR (COMRTR) method using MC ordering in complex symmetric linear systems. Furthermore, the affinity of two orderings (Reverse Cuthill-McKee and greedy-based MC) on complex symmetric linear systems derived from frequency-domain edge-based FEM is particularly verified.