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

doi:10.1515/cmam-2016-0021

	A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number
	Feng, Xiaobing 1; Lu, Peipei 2; Xu, Xuejun3,4
	2016-07-01
发表期刊	COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
ISSN	1609-4840
卷号	16 期号:3 页码:429-445
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.
关键词	Hybridizable Discontinuous Galerkin Method Time-Harmonic Maxwell Equations High Wave Number Error Estimates
DOI	10.1515/cmam-2016-0021
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000378915900004
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23034
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.