A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER

doi:10.1137/15M1007033

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 ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER
	Lu, Peipei 1; Xu, Xuejun2,3
刊名	SIAM JOURNAL ON SCIENTIFIC COMPUTING
	2016
卷号	38 期号:2 页码:A856-A874
关键词	multilevel method time-harmonic Maxwell equation high wave number continuous interior penalty finite element method GMRES method local Fourier analysis
ISSN号	1064-8275
DOI	10.1137/15M1007033
英文摘要	A robust multilevel preconditioner for the time-harmonic Maxwell equation with high wave number is presented in this paper. We choose a stable continuous interior penalty finite element method as a coarse correction space and design different smoothers for the indefinite algebraic system in different mesh levels. The multilevel method is performed as a preconditioner in the outer GMRES iteration. To give quantitative insight of our algorithm we use local Fourier analysis to analyze the convergence property of the proposed multilevel method. Numerical results are presented to confirm the efficiency of our multilevel method.
资助项目	National Natural Science Foundation of China[11401417] ; National Natural Science Foundation of China[11171335] ; 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	SIAM PUBLICATIONS
WOS记录号	WOS:000375484800011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22734]
专题	计算数学与科学工程计算研究所
通讯作者	Lu, Peipei; Xu, Xuejun
作者单位	1.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 2.Tongji Univ, Dept Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lu, Peipei,Xu, Xuejun. A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(2):A856-A874.
APA	Lu, Peipei,&Xu, Xuejun.(2016).A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(2),A856-A874.
MLA	Lu, Peipei,et al."A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.2(2016):A856-A874.