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

被引：8

作者：

Descombes, Stephane ^{[1
]}

Lanteri, Stephane ^{[1
]}

Moya, Ludovic ^{[1
]}

机构：

[1] Univ Cote Azur, CNRS, Inria, LJAD, Nice, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 316卷

关键词：

Maxwell's equations; Time domain; Dispersive medium; Discontinuous Galerkin method; Convergence analysis; MAXWELLS EQUATIONS;

D O I：

10.1016/j.cam.2016.09.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 Published by Elsevier B.V.

引用

页码：122 / 132

页数：11

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