Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell's equations

作者：Cai Wenjun^*; Wang Yushun; Song Yongzhong

来源：Journal of Computational Physics, 2013, 234: 330-352.

DOI：10.1016/j.jcp.2012.09.043

• Maxwell's equations
• Multi-symplectic scheme
• Conservation law
• Dispersion relation
• Group velocity

In this paper, we study a multi-symplectic scheme for three dimensional Maxwell's equations in a simple medium. This is a system of PDEs with multi-symplectic structures. We prove that this multi-symplectic scheme preserves the discrete version of local and global energy conservation law and the discrete divergence. Furthermore, we extend the discussion to several dispersion properties of the multi-symplectic scheme including the numerical dispersion relation, the numerical group velocity, the effect of large time steps and the CFL condition.

• 出版日期2013-2-1
• 单位南京师范大学