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

Niel K. Madsen, Richard W Ziolkowski

Research output: Contribution to journalArticle

115 Citations (Scopus)

Abstract

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
JournalElectromagnetics
Volume10
Issue number1-2
DOIs
StatePublished - 1990
Externally publishedYes

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Maxwell equations
Finite difference method
Maxwell equation
grids
Stairs
Finite volume method
finite volume method
cells
approximation

ASJC Scopus subject areas

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

Cite this

A three-dimensional modified finite volume technique for maxwell's equations. / Madsen, Niel K.; Ziolkowski, Richard W.

In: Electromagnetics, Vol. 10, No. 1-2, 1990, p. 147-161.

Research output: Contribution to journalArticle

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