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A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM

文献类型：期刊论文

作者Han, Xiaole1; Xie, Hehu2; Xu, Fei3; Xie Hehu
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2017
卷号35期号:1页码:74-90
关键词Eigenvalue problem Cascadic multigrid Multilevel correction scheme Finite element method
ISSN号0254-9409
DOI10.4208/jcm.1608-m2014-0135
英文摘要A cascadic multigrid method is proposed for eigenvalue problems based on the multilevel correction scheme. With this new scheme, an eigenvalue problem on the finest space can be solved by linear smoothing steps on a series of multilevel finite element spaces and nonlinear correcting steps on special coarsest spaces. Once the sequence of finite element spaces and the number of smoothing steps are appropriately chosen, the optimal convergence rate with the optimal computational work can be obtained. Some numerical experiments are presented to validate our theoretical analysis.
资助项目National Natural Science Foundation of China[NSFC 91330202] ; National Natural Science Foundation of China[11371026] ; National Natural Science Foundation of China[11001259] ; National Natural Science Foundation of China[11031006] ; National Natural Science Foundation of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000399811800005
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26096]  
专题计算数学与科学工程计算研究所
通讯作者Han, Xiaole
作者单位1.IAPCM, Beijing 100094, Peoples R China
2.Chinese Acad Sci, LSEC, NCMIS, Inst Computat Math,Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
推荐引用方式
GB/T 7714		 Han, Xiaole,Xie, Hehu,Xu, Fei,et al. A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2017,35(1):74-90.
APA Han, Xiaole,Xie, Hehu,Xu, Fei,&Xie Hehu.(2017).A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,35(1),74-90.
MLA Han, Xiaole,et al."A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 35.1(2017):74-90.

入库方式： OAI收割

来源：数学与系统科学研究院

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