Energy-conserved splitting spectral methods for two dimensional Maxwell's equations
Energy-conserved splitting spectral methods for two dimensional Maxwell's equations
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DOI：
10.1016/j.cam.2013.09.048
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发表时间：
2014-08-01
影响因子：
2.4
通讯作者：
Liang, Dong
中科院分区：
文献类型：
--
作者：
Zeng, Fanhai;Ma, Heping;Liang, Dong
本文提出了求解二维麦克斯韦方程组的能量守恒分裂Legendre Galerkin方法和能量守恒分裂Legendre配点方法。该方案是能量守恒的，无条件稳定的，可以有效地实现。这两种方法都具有时间上的二阶收敛性。并给出了这两种方法的空间高阶误差估计。对于EC-S-LC方法，还得到了电场离散发散的一个恒等式。数值算例验证了理论分析的正确性。(c)2013爱思唯尔有限公司版权所有。
In this paper, the energy-conserved splitting Legendre Galerkin method and energy-conserved splitting Legendre collocation method for Maxwell's equations in two dimensions are proposed. The schemes are energy-conserved, unconditionally stable, and can be implemented efficiently. The both methods are of second-order convergence in time. The high order error estimates in space for the two methods are also obtained. For the EC-S-LC method, an identity of the discrete divergence of electric fields is also obtained. Numerical examples are provided to confirm the theoretical analysis. (c) 2013 Elsevier B.V. All rights reserved.