Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media

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• 作者：Sté ; phane Descombes ; ^{stephane.descombes@unice.fr} ; Sté ; phane Lanteri ^{stephane.lanteri@inria.fr} ; Ludovic Moya ^{ludovic.moya@inria.fr}
• 关键词：Maxwell&rsquo ; s equations ; Time domain ; Dispersive medium ; Discontinuous Galerkin method ; Convergence analysis
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：316
• 期：Complete
• 页码：122-132
• 全文大小：2061 K
• 卷排序：316

文摘

This paper is concerned with the approximation of the time domain Maxwell equations in a dispersive propagation medium by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behavior of the medium. We adapt the locally implicit time integration method from Verwer (2010) and derive a convergence analysis to prove that the locally implicit DGTD method for Maxwell–Debye equations retains its second order convergence.