Research Article

Frontiers of Mathematics in China

, Volume 7, Issue 2, pp 347-363

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

  • Paul TsujiAffiliated withICES, University of Texas at Austin
  • , Lexing YingAffiliated withICES, University of Texas at AustinDepartment of Mathematics, University of Texas at Austin Email author 

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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

MSC

65F08 65N22 65N80 35Q61