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 Tsuji
    • ICESUniversity of Texas at Austin
    • ICESUniversity of Texas at Austin
    • Department of MathematicsUniversity of Texas at Austin
Research Article

DOI: 10.1007/s11464-012-0191-8

Cite this article as:
Tsuji, P. & Ying, L. Front. Math. China (2012) 7: 347. doi:10.1007/s11464-012-0191-8


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.


Electromagnetic scatteringYee gridfinite difference methodsperfectly matched layersLDLT factorizationsmultifrontal methodwave propagation in inhomogeneous and anisotropic mediamatrix preconditioners



Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2012