A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS

doi:10.21136/AM.2018.0086-18

	A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS
	He, Yunhui 1; Li, Yu 2; Xie, Hehu3,4 ; You, Chun'Guang 5; Zhang, Ning 3,4
	2018-06-01
发表期刊	APPLICATIONS OF MATHEMATICS
ISSN	0862-7940
卷号	63 期号:3 页码:281-303
摘要	We propose a new type of multilevel method for solving eigenvalue problems based on Newton's method. With the proposed iteration method, solving an eigenvalue problem on the finest finite element space is replaced by solving a small scale eigenvalue problem in a coarse space and a sequence of augmented linear problems, derived by Newton step in the corresponding sequence of finite element spaces. This iteration scheme improves overall efficiency of the finite element method for solving eigenvalue problems. Finally, some numerical examples are provided to validate the efficiency of the proposed numerical scheme.
关键词	eigenvalue problem finite element method Newton's method multilevel iteration
DOI	10.21136/AM.2018.0086-18
语种	英语
资助项目	Science Challenge Project[TZ2016002] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[91430108] ; National Natural Science Foundations of China[11771322] ; National Natural Science Foundations of China[11626033] ; National Natural Science Foundations of China[11601368] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000440108200006
出版者	ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30825
专题	计算数学与科学工程计算研究所
通讯作者	He, Yunhui
作者单位	1.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 2.Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.CAEP Software Ctr High Performance Numer Simulat, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	He, Yunhui,Li, Yu,Xie, Hehu,et al. A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS[J]. APPLICATIONS OF MATHEMATICS,2018,63(3):281-303.
APA	He, Yunhui,Li, Yu,Xie, Hehu,You, Chun'Guang,&Zhang, Ning.(2018).A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS.APPLICATIONS OF MATHEMATICS,63(3),281-303.
MLA	He, Yunhui,et al."A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS".APPLICATIONS OF MATHEMATICS 63.3(2018):281-303.