Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
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DOI：
10.1016/j.jcp.2013.11.018
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发表时间：
2014-02
期刊：
影响因子：
--
通讯作者：
Jichun Li;J. Hesthaven
中科院分区：
文献类型：
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作者：
Jichun Li;J. Hesthaven
本文发展了一种节块间断Galerkin方法求解含时麦克斯韦方程组。半离散和全离散格式。证明了两种格式的数值稳定性和误差估计。数值结果表明，该方法不仅是有效的，而且是非常有效的求解超材料麦克斯韦方程。
In this paper, we develop a nodal discontinuous Galerkin method for solving the time-dependent Maxwellʼs equations when metamaterials are involved. Both semi- and fully-discrete schemes are constructed. Numerical stability and error estimate are proved for both schemes. Numerical results are presented to demonstrate that the method is not only efficient but also very effective in solving metamaterial Maxwellʼs equations.