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Symplectic discretization for spectral element solution of Maxwell's equations

文献类型：期刊论文

作者Zhao, Yanmin1,2; Dai, Guidong1,2; Tang, Yifa1; Liu, Qinghuo3
刊名JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
出版日期2009-08-14
卷号42期号:32页码:12
ISSN号1751-8113
DOI10.1088/1751-8113/42/32/325203
英文摘要Applying the spectral element method (SEM) based on the Gauss-Lobatto-Legendre (GLL) polynomial to discretize Maxwell's equations, we obtain a Poisson system or a Poisson system with at most a perturbation. For the system, we prove that any symplectic partitioned Runge-Kutta (PRK) method preserves the Poisson structure and its implied symplectic structure. Numerical examples show the high accuracy of SEM and the benefit of conserving energy due to the use of symplectic methods.
资助项目Chinese Academy of Science 'Supercomputing Environment Construction and Application'[INF105-SCE] ; National Natural Science Foundation of China[10471145] ; National Natural Science Foundation of China[10672143] ; National Natural Science Foundation of China[10872037] ; Morningside Center of Mathematics, Chinese Academy of Sciences
WOS研究方向Physics
语种英语
WOS记录号WOS:000268342600010
出版者IOP PUBLISHING LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8888]  
专题计算数学与科学工程计算研究所
通讯作者Zhao, Yanmin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China
3.Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA
推荐引用方式
GB/T 7714		 Zhao, Yanmin,Dai, Guidong,Tang, Yifa,et al. Symplectic discretization for spectral element solution of Maxwell's equations[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(32):12.
APA Zhao, Yanmin,Dai, Guidong,Tang, Yifa,&Liu, Qinghuo.(2009).Symplectic discretization for spectral element solution of Maxwell's equations.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(32),12.
MLA Zhao, Yanmin,et al."Symplectic discretization for spectral element solution of Maxwell's equations".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.32(2009):12.

入库方式： OAI收割

来源：数学与系统科学研究院

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