A sweeping preconditioner for Yee＇s finite difference approximation of time-harmonic Maxwell＇s equations  

作　　者：Paul TSUJI Lexing YING 

机构地区：[1]ICES, University of Texas at Austin, Austin, TX 78712, USA [2]Department of Mathematics, University of Texas at Austin, Austin, TX 78712, USA

出　　处：《Frontiers of Mathematics in China》2012年第2期347-363,共17页中国高等学校学术文摘·数学（英文）

摘　　要：This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched layers previously developed for the Helmholtz equation is adapted for the popular Yee grid scheme for wave propagation in inhomogeneous, anisotropic media. Preliminary numerical results are presented for typical examples.This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched layers previously developed for the Helmholtz equation is adapted for the popular Yee grid scheme for wave propagation in inhomogeneous, anisotropic media. Preliminary numerical results are presented for typical examples.

关 键 词：Electromagnetic scattering Yee grid finite difference methods perfectly matched layers LDLT factorizations multifrontal method wave propagation in inhomogeneous and anisotropic media matrix preconditioners 

分 类 号：TN011[电子电信—物理电子学] O441[理学—电磁学]