Performance Evaluation of State-of-the-Art Linear Iterative Solvers Based on IDR Theorem for Large Scale Electromagnetic Multiple Scattering Simulations

摘要

The present paper treats with the latest linear iterative solver IDR(s) method and its variants proposed by P. Sonneveld and M. van Gij-zen. We derive preconditioned algorithms of the solvers based on right preconditioning and list them. The solvers are numerically tested in terms of convergence and accuracy for the computation of electromagnetic wave scattering from over 10~4 dielectric cylinders. Consequently, minimization schemes for residual vectors refine not only convergence but also accuracy for the original IDR(s) method. However, a spurious convergence may be confirmed and its influence is 7 or 2 digit error independently of parameter s.