New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations
New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations
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DOI：
10.1063/1.2400833
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发表时间：
2006-12
影响因子：
1.3
通讯作者：
Jiaxiang Cai;Yushun Wang;Bin Wang-;Bin Jiang
中科院分区：
文献类型：
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作者：
Jiaxiang Cai;Yushun Wang;Bin Wang-;Bin Jiang
本文研究了麦克斯韦方程组Bridges多辛形式的欧拉盒格式。本文导出了求解麦克斯韦方程组的一个新的多辛格式。我们证明了它在时间方向上也是一个自伴格式。讨论了基于新格式的复合格式的多辛性。两个数值例子表明，所导出的多辛格式用于积分2+1维麦克斯韦方程组是有效的。
In this paper, we investigate Euler-box scheme for Bridges’ multisymplectic form of Maxwell’s equations. A new multisymplectic scheme is derived for Maxwell’s equations. We prove that it is also a self-adjoint scheme in time direction. The multisymplecticity of composition schemes based on the new scheme is also discussed. Two numerical examples are proposed to indicate that the derived multisymplectic schemes are effective when used to integrate the 2+1 dimensional Maxwell’s equations.