A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements

被引：21

作者：

Tsuji, Paul ^{[1
]}

Engquist, Bjorn ^{[1
,2
]}

Ying, Lexing ^{[1
,2
]}

机构：

[1] Univ Texas Austin, ICES, Austin, TX 78712 USA

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 09期

关键词：

Maxwell's equations; Frequency domain; Finite element methods; Preconditioners; Fast solvers; Perfectly matched layers; Block LDLt factorization; High-frequency waves; HELMHOLTZ-EQUATION;

D O I：

10.1016/j.jcp.2012.01.025

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell's equations in the high frequency regime. The moving PML sweeping preconditioner, first introduced for the Helmholtz equation on a Cartesian finite difference grid, is generalized to an unstructured mesh with finite elements. The method dramatically reduces the number of GMRES iterations necessary for convergence, resulting in an almost linear complexity solver. Numerical examples including electromagnetic cloaking simulations are presented to demonstrate the efficiency of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3770 / 3783

页数：14

共 18 条

[11] On a class of preconditioners for solving the Helmholtz equation [J].