Symplectic and multisymplectic numerical methods for Maxwell's equations
Symplectic and multisymplectic numerical methods for Maxwell's equations
复制标题
麦克斯韦方程组的辛和多辛数值方法
DOI：
10.1016/j.jcp.2010.12.006
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发表时间：
2011-03
影响因子：
4.1
通讯作者：
Tse, P. S. P.
中科院分区：
文献类型：
--
作者：
Sun, Y.;Tse, P. S. P.
In this paper, we compare the behaviour of one symplectic and three multisymplectic methods for Maxwell’s equations in a simple medium. This is a system of PDEs with symplectic and multisymplectic structures. We give a theoretical discussion of how some numerical methods preserve the discrete versions of the local and global conservation laws and verify this behaviour in numerical experiments. We also show that these numerical methods preserve the divergence. Furthermore, we extend the discussion on dispersion for (multi)symplectic methods applied to PDEs with one spatial dimension, to include anisotropy when applying (multi)symplectic methods to Maxwell’s equations in two spatial dimensions. Lastly, we demonstrate how varying the Courant–Friedrichs–Lewy (CFL) number can cause the (multi)symplectic methods in our comparison to behave differently, which can be explained by the study of backward error analysis for PDEs.
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影响因子：
4.1
作者：
Kong, Linghua;Hong, Jialin;Zhang, Jingjing
通讯作者：
Zhang, Jingjing
影响因子：
1.3
作者：
Jiaxiang Cai;Yushun Wang;Bin Wang-;Bin Jiang
通讯作者：
Jiaxiang Cai;Yushun Wang;Bin Wang-;Bin Jiang
DOI：
10.2307/3621729
发表时间：
2000-07
期刊：
The Mathematical Gazette
影响因子：
--
作者：
L. Chambers
通讯作者：
L. Chambers
影响因子：
2.6
作者：
T. Bridges;S. Reich
通讯作者：
T. Bridges;S. Reich
DOI：
10.1109/75.755044
发表时间：
1999-02
期刊：
IEEE Microwave and Guided Wave Letters
影响因子：
--
作者：
J. Schneider;C. L. Wagner
通讯作者：
J. Schneider;C. L. Wagner