LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS
文献类型:期刊论文
作者 | Han, Xiaole1; Li, Yu2; Xie, Hehu3![]() |
刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
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出版日期 | 2016 |
卷号 | 13期号:1页码:73-89 |
关键词 | eigenvalue problem multigrid multilevel correction local and araliel method finite element method |
ISSN号 | 1705-5105 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000373022700005 |
出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22343] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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