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 language | English (US) |
|---|---|
| Pages (from-to) | 583-596 |
| Number of pages | 14 |
| Journal | Wave Motion |
| Volume | 10 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1988 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
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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 journal › Article
}
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.
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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 -