Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids

Niel K. Madsen, Richard W. Ziolkowski

Research output: Contribution to journalArticle

61 Scopus citations

Abstract

Several different methods for solving Maxwell's equations in the time-domain through the use of irregular nonorthogonal grids are presented. Employing quadrilateral and/or triangular elements, these methods allow more accurate modeling of nonrectangular structures. The traditional "stair-stepping" boundary approximations associated with standard orthogonal-grid finite-difference methods are avoided. Numerical results comparing all of the methods are given. A modified finite-volume method, which is a direct generalization of the standard finite-difference method to arbitrary polygonal grids, is shown to be the most accurate.

Original languageEnglish (US)
Pages (from-to)583-596
Number of pages14
JournalWave Motion
Volume10
Issue number6
DOIs
StatePublished - Dec 1988

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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