Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma
Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma
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DOI：
10.1007/s10915-009-9300-6
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发表时间：
2009-12
影响因子：
2.5
通讯作者：
Yunqing Huang;Jichun Li
中科院分区：
文献类型：
--
作者：
Yunqing Huang;Jichun Li
本文发展了冷等离子体中含时Maxwell方程的内罚间断Galerkin(DG)方法。构造了半离散DG格式和全离散DG格式，证明了能量范数下的最优误差估计。据我们所知，这是第一次对色散介质中麦克斯韦方程的DG方法进行误差分析。
In this paper, we develop an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell’s equations in cold plasma. Both semi and fully discrete DG schemes are constructed, and optimal error estimates in the energy norm are proved. To our best knowledge, this is the first error analysis carried out for the DG method for Maxwell’s equations in dispersive media.