Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients

A. Yefet, E. Turkel

Research output: Contribution to journalConference articlepeer-review

Abstract

We consider fourth order accurate compact schemes for numerical solutions to the Maxwell equations. The same mesh stencil is used as in the standard Yee scheme. In particular extra information over a wider stencil is not required. This has several advantages. First, it is relatively easy to modify an existing code based on the Yee algorithm to make it fourth order accurate. Second, a staggered mesh, without additional mesh locations, makes the boundary treatment easier since some of the quantities are located inside the domain rather than on the boundary. Also, a staggered grid system gives a lower error than a similar non-staggered system. The extension to dielectric materials is presented. This uses a compact implicit smoothing operator to redefine the piecewise constant dielectric coefficients.

Original languageEnglish
Pages (from-to)125-134
Number of pages10
JournalApplied Numerical Mathematics
Volume33
Issue number1
DOIs
StatePublished - May 2000
EventThe 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) - Herzliya, Isr
Duration: 22 Jun 199826 Jun 1998

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