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A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. (English) Zbl 1253.78049
Summary: We are 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.

78M20 Finite difference methods applied to problems in optics and electromagnetic theory
65F08 Preconditioners for iterative methods
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs
35Q61 Maxwell equations
Full Text: DOI
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