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

Ziqing Xie ,  Jiangxing Wang ,  Bo Wang and Chuanmiao Chen

10.4208/cicp.scpde14.35s

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

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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.

  • History

Published online: 2018-04

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