Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations

被引：16
|
作者：
Fornberg, Bengt
Zuev, Julia
Lee, Jongwoo
机构：
[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 01期
关键词：
wave equations; Maxwell's equations; GBS method; extrapolation methods; stability domains; ADI-FDTD;
D O I：
10.1016/j.cam.2005.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some recent work on the ADI-FDTD method for solving Maxwell's equations in 3-D have brought out the importance of extrapolation methods for the time stepping of wave equations. Such extrapolation methods have previously been used for the solution of ODEs. The present context (of wave equations) brings up two main questions which have not been addressed previously: (1) when will extrapolation in time of an unconditionally stable scheme for a wave equation again feature unconditional stability, and (2) how will the accuracy and computational efficiency depend on how frequently in time the extrapolations are carried out. We analyze these issues here. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：178 / 192
页数：15
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