A three-dimensional modified finite volume technique for maxwell's equations

Niel K. Madsen, Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


A modified finite volume method for solving Maxwell's equations in the time-domain is presented. This method, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method. Employing mixed polyhedral cells, (hexahedral, tetrahedral, etc.) this method allows more accurate modeling of non-rectangular structures. The traditional “stair-stepped” boundary approximations associated with the orthogonal grid based finite difference methods ate avoided. Numerical results demonstrating the accuracy of this new method are presented.

Original languageEnglish (US)
Pages (from-to)147-161
Number of pages15
Issue number1-2
StatePublished - 1990

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Radiation
  • Electrical and Electronic Engineering


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