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.
N1 - Funding Information:
The authorsw ouldlike to thanka ndacknowl-edget hef ollowingin dividualfso r theira ssistance and involvemenint the work presenteidn this paper:O liverE dwardsJ,. Brian Grant,R obertL . Lee, John Peterson, Scott Ray, and Ron Schmucker. This work wasp erformeudn dert hea uspiceos f the U.S. Departmenotf Energyb y the Lawrence LivermoreN ationalL aboratoryu ndercontract W-7405-ENG-48.
PY - 1988/12
Y1 - 1988/12
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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U2 - 10.1016/0165-2125(88)90013-3
DO - 10.1016/0165-2125(88)90013-3
M3 - Article
AN - SCOPUS:0024132681
VL - 10
SP - 583
EP - 596
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
IS - 6
ER -