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 Citations (Scopus)

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 - 1988
Externally publishedYes

Fingerprint

Maxwell equation
grids
finite volume method
approximation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids. / Madsen, Niel K.; Ziolkowski, Richard W.

In: Wave Motion, Vol. 10, No. 6, 1988, p. 583-596.

Research output: Contribution to journalArticle

@article{4e820b363ac84ea7a9ba33e03591018c,
title = "Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids",
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.",
author = "Madsen, {Niel K.} and Ziolkowski, {Richard W}",
year = "1988",
doi = "10.1016/0165-2125(88)90013-3",
language = "English (US)",
volume = "10",
pages = "583--596",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier",
number = "6",

}

TY - JOUR

T1 - Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids

AU - Madsen, Niel K.

AU - Ziolkowski, Richard W

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0024132681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024132681&partnerID=8YFLogxK

U2 - 10.1016/0165-2125(88)90013-3

DO - 10.1016/0165-2125(88)90013-3

M3 - Article

VL - 10

SP - 583

EP - 596

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

IS - 6

ER -