Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520577 | Journal of Computational Physics | 2013 | 23 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Wenjun Cai, Yushun Wang, Yongzhong Song,