Dispersion and asymmetry effects of ADI-FDTD

被引:50
作者
Darms, M [1 ]
Schuhmann, R [1 ]
Spachmann, H [1 ]
Weiland, T [1 ]
机构
[1] Tech Univ Darmstadt, Computat Electromagnet Lab TEMF, D-64287 Darmstadt, Germany
关键词
alternating direction implicit (ADI); finite-difference time-domain (FDTD); finite integration technique (FIT); stability;
D O I
10.1109/LMWC.2002.805951
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a generalized derivation of the alternating direction implicit finite-difference time-domain algorithm based on operator splitting is proposed. The formulation follows the notation of the finite integration technique. A straightforward proof of stability is given and the numerical dispersion formula is presented and verified by numerical experiments. As an additional parasitic effect, the asymmetric behavior of the algorithm even for exactly symmetric setups is revealed. Both the dispersion error and the asymmetry error are discussed in terms of the applicability of ADI for low-frequency problems.
引用
收藏
页码:491 / 493
页数:3
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