学术报告

DG Methods for Maxwell's Equations in Dispersive Media and Meta-Materials

阅读次数:1190

题目:DG Methods for Maxwell's Equations in Dispersive Media and Meta-Materials
报告人:Prof. Ziqing Xie (School of Mathematics and Statistics, Hunan Normal University)
地点:致远楼108室
时间:2019年6月24日上午10:30-11:30
Abstract:In this talk, a semi-discrete DG method is first introduced to solve the Maxwell’s equations in three dispersive media in a uniform framework, which is described by an integral-differential equation. Accuracy of    is obtained. Then it is also noted that the governing equations for three different meta-materials share a common feature. Based on this observation, a method combining the DG method in space with the CG method in time for Maxwell’s equation in meta-materials in an uniform framework is discussed. An energy identity is obtaiend and the unconditional stability is naturally reduced. Then the convergence rate of    is verfied. It is worthwhile to point out that the introduction of some appropriate projection operators plays an important role in the analysis. Further, the numerical results validates the theoretical results.

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