Volume 19, Issue 5
Solving Maxwell’s Equation in Meta-Materials by a CG-DG Method

Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen

Commun. Comput. Phys., 19 (2016), pp. 1242-1264.

Published online: 2018-04

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  • Abstract

In this paper, an approach combining the DG method in space with CG method in time (CG-DG method) is developed to solve time-dependent Maxwell’s equations when meta-materials are involved. Both the unconditional L 2 -stability and error estimate of order O τ r+1+h k+ 1 2  are obtained when polynomials of degree at most r is used for the temporal discretization and at most k for the spatial discretization. Numerical results in 3D are given to validate the theoretical results.

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@Article{CiCP-19-1242, author = {Ziqing Xie, Jiangxing Wang, Bo Wang and Chuanmiao Chen}, title = {Solving Maxwell’s Equation in Meta-Materials by a CG-DG Method}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {5}, pages = {1242--1264}, abstract = {

In this paper, an approach combining the DG method in space with CG method in time (CG-DG method) is developed to solve time-dependent Maxwell’s equations when meta-materials are involved. Both the unconditional L 2 -stability and error estimate of order O τ r+1+h k+ 1 2  are obtained when polynomials of degree at most r is used for the temporal discretization and at most k for the spatial discretization. Numerical results in 3D are given to validate the theoretical results.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.scpde14.35s}, url = {http://global-sci.org/intro/article_detail/cicp/11127.html} }
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