Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers

被引：126

作者：

Shin, Wonseok ^{[1
]}

Fan, Shanhui ^{[1
]}

机构：

[1] Stanford Univ, Dept Elect Engn, Stanford, CA 94305 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 08期

关键词：

Maxwell's equations; Perfectly matched layer; Finite-difference frequency-domain method; Finite-element method; Condition number; Preconditioner; Iterative methods; NUMERICAL-SOLUTION; PML; FDFD;

D O I：

10.1016/j.jcp.2012.01.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We show that the performance of frequency-domain solvers of Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the uniaxial PML (UPML). such a difference in convergence behavior is explained by an analysis of the condition number of the coefficient matrices. Additionally, we develop a diagonal preconditioning scheme that significantly improves solver performance when UPML is used. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3406 / 3431

页数：26

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