A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number

doi:10.1515/cmam-2016-0021

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number
	Feng, Xiaobing 1; Lu, Peipei 2; Xu, Xuejun3,4
刊名	COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
	2016-07-01
卷号	16 期号:3 页码:429-445
关键词	Hybridizable Discontinuous Galerkin Method Time-Harmonic Maxwell Equations High Wave Number Error Estimates
ISSN号	1609-4840
DOI	10.1515/cmam-2016-0021
英文摘要	This paper proposes and analyzes a hybridizable discontinuous Galerkin (HDG) method for the three-dimensional time-harmonic Maxwell equations coupled with the impedance boundary condition in the case of high wave number. It is proved that the HDG method is absolutely stable for all wave numbers kappa > 0 in the sense that no mesh constraint is required for the stability. A wave-number-explicit stability constant is also obtained. This is done by choosing a specific penalty parameter and using a PDE duality argument. Utilizing the stability estimate and a non-standard technique, the error estimates in both the energy-norm and the L-2-norm are obtained for the HDG method. Numerical experiments are provided to validate the theoretical results and to gauge the performance of the proposed HDG method.
资助项目	Sino-German Science Center[1228] ; National Natural Science Foundation of China[11401417] ; National Natural Science Foundation of China[11225107] ; Program of Natural Science Research of Jiangsu Higher Education Institutions of China[14KJB110021] ; Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems[201404]
WOS研究方向	Mathematics
语种	英语
出版者	WALTER DE GRUYTER GMBH
WOS记录号	WOS:000378915900004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23033]
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Xuejun
作者单位	1.Univ Tennessee, Dept Math, Knoxville, TN 37996 USA 2.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China 4.Tongji Univ, Dept Math, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Feng, Xiaobing,Lu, Peipei,Xu, Xuejun. A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number[J]. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,2016,16(3):429-445.
APA	Feng, Xiaobing,Lu, Peipei,&Xu, Xuejun.(2016).A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,16(3),429-445.
MLA	Feng, Xiaobing,et al."A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number".COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 16.3(2016):429-445.