Publications [#283683] of Qing H. Liu

Papers Published

1. Zhao, Y; Dai, G; Tang, Y; Liu, Q, Symplectic discretization for spectral element solution of Maxwell's equations, Journal of Physics A: Mathematical and Theoretical, vol. 42 no. 32 (November, 2009), pp. 325203-325203, IOP Publishing, ISSN 1751-8113 [doi]
   (last updated on 2023/08/08)

   Abstract:
   Applying the spectral element method (SEM) based on the Gauss-Lobatto-Legendre (GLL) polynomial to discretize Maxwell's equations, we obtain a Poisson system or a Poisson system with at most a perturbation. For the system, we prove that any symplectic partitioned Runge-Kutta (PRK) method preserves the Poisson structure and its implied symplectic structure. Numerical examples show the high accuracy of SEM and the benefit of conserving energy due to the use of symplectic methods. © 2009 IOP Publishing Ltd.