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Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary

Numerical Analysis 2014-10-28 v1

Abstract

In this paper, we consider the energy evolution of multi-symplectic methods for three-dimensional (3D) Maxwell equations with perfectly matched layer boundary, and present the energy evolution laws of Maxwell equations under the discretization of multi-symplectic Yee method and general multi-symplectic Runge-Kutta methods.

Keywords

Cite

@article{arxiv.1410.7177,
  title  = {Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary},
  author = {Jialin Hong and Lihai Ji},
  journal= {arXiv preprint arXiv:1410.7177},
  year   = {2014}
}

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8 pages