LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS

	LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS
	Han, Xiaole 1; Li, Yu 2; Xie, Hehu3 ; You, Chunguang 3
	2016
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	13 期号:1 页码:73-89
摘要	In this paper, a local and parallel algorithm based on the multilevel disc retization is proposed for solving the eigenvalue problem by the finite element method. With this new scheme, the eigenvalue problem solving in the finest grid is transferred to solutions of the eigenvalue problems on the coarsest mesh and a series of solutions of boundary value problems on each level mesh. Therefore this type of multilevel local and parallel method improves the overall efficiency of solving the eigenvalue problem. Some numericalexperiments are presented to validate the efficiency of the new method.
关键词	eigenvalue problem multigrid multilevel correction local and araliel method finite element method
语种	英语
资助项目	National Science Foundation of China (NSFC)[91330202] ; National Science Foundation of China (NSFC)[11001259] ; National Science Foundation of China (NSFC)[11371026] ; National Science Foundation of China (NSFC)[11201501] ; National Science Foundation of China (NSFC)[11031006] ; National Science Foundation of China (NSFC)[11171251] ; National Science Foundation of China (NSFC)[2011CB309703] ; National Basic Research Program[2012CB955804] ; National Natural Science Foundation of China[91430108] ; scientific research development foundation of Tianjin University of Finance and Economics[2014Q140118] ; Major Program of Tianjin University of Finance and Economics[ZD1302] ; National Center for Mathematics and Interdisciplinary Sience, CAS ; President Foundation of AMSS-CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000373022700005
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22344
专题	计算数学与科学工程计算研究所
通讯作者	Han, Xiaole; Li, Yu; Xie, Hehu; You, Chunguang
作者单位	1.Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China 2.Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Xiaole,Li, Yu,Xie, Hehu,et al. LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2016,13(1):73-89.
APA	Han, Xiaole,Li, Yu,Xie, Hehu,&You, Chunguang.(2016).LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,13(1),73-89.
MLA	Han, Xiaole,et al."LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 13.1(2016):73-89.