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

Paul TSUJI; Lexing YING

doi:10.1007/s11464-012-0191-8

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Front. Math. China ›› 2012, Vol. 7 ›› Issue (2) : 347-363. DOI: 10.1007/s11464-012-0191-8

RESEARCH ARTICLE

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

Paul TSUJI¹ ,
Lexing YING¹^,²

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Abstract

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.

Keywords

Electromagnetic scattering / Yee grid / finite difference methods / perfectly matched layers / LDL^T factorizations / multifrontal method / wave propagation in inhomogeneous and anisotropic media / matrix preconditioners

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Paul TSUJI, Lexing YING. A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. Front Math Chin, 2012, 7(2): 347‒363 https://doi.org/10.1007/s11464-012-0191-8

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