Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell's equations
نویسندگان
چکیده
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. 2012 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- J. Comput. Physics
دوره 234 شماره
صفحات -
تاریخ انتشار 2013