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

doi:10.1137/15M1007033

	A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER
	Lu, Peipei 1; Xu, Xuejun2,3
	2016
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	38 期号:2 页码:A856-A874
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.
关键词	multilevel method time-harmonic Maxwell equation high wave number continuous interior penalty finite element method GMRES method local Fourier analysis
DOI	10.1137/15M1007033
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000375484800011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22735
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.