Solving Maxwell's Equation in Meta-Materials by a CG-DG Method. (17th May 2016)

• Record Type: Journal Article
• Authors: Xie, Ziqing; Wang, Jiangxing; Wang, Bo; Chen, Chuanmiao
• Is Part Of: Communications in computational physics. Volume 19:Number 5(2016:May)
• Page Start: 1242
• Page End: 1264
• Publication Date: 2016-05-17
• Subjects: 35Q61, -- 65M12, -- 65M60; Maxwell's equations, -- meta-materials, -- full-discretization, -- CG-DG method, -- L2-stability, -- L2-error estimate; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.scpde14.35s
• Languages: English
• ISSNs: 1815-2406

Abstract

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 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.