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

2014/10/27 by Jialin Hong, Hong, Jialin, Lihai Ji +1
Engineering · Mathematics · #35Q61 #65Z05 #70H05 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1410.7177

openalex publication_date 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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