A full multigrid method for eigenvalue problems
文献类型：期刊论文
| 作者 | Chen, Hongtao1; Xie, Hehu2 ; Xu, Fei3
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2016-10-01 |
| 卷号 | 322页码:747-759 |
| 关键词 | Eigenvalue problem Full multigrid method Multilevel correction Finite element method |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2016.07.009 |
| 英文摘要 | In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The idea here is to use a correction method to transform the eigenvalue problem solving to a series of corresponding boundary value problem solving and eigenvalue problems defined on a very low-dimensional finite element space. The boundary value problems which are defined on a sequence of multilevel finite element spaces can be solved by some multigrid iteration steps. The computational work of this new scheme can reach the same optimal order as solving the corresponding boundary value problem by the full multigrid method. Therefore, this type of full multigrid method improves the overfull efficiency of the eigenvalue problem solving. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China (NSFC)[91330202] ; National Natural Science Foundation of China (NSFC)[11371026] ; National Natural Science Foundation of China (NSFC)[11001259] ; National Natural Science Foundation of China (NSFC)[11031006] ; National Natural Science Foundation of China (NSFC)[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000381585100037 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23371]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xie, Hehu |
| 作者单位 | 1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, 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 | Chen, Hongtao,Xie, Hehu,Xu, Fei. A full multigrid method for eigenvalue problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,322:747-759. |
| APA | Chen, Hongtao,Xie, Hehu,&Xu, Fei.(2016).A full multigrid method for eigenvalue problems.JOURNAL OF COMPUTATIONAL PHYSICS,322,747-759. |
| MLA | Chen, Hongtao,et al."A full multigrid method for eigenvalue problems".JOURNAL OF COMPUTATIONAL PHYSICS 322(2016):747-759. |
入库方式： OAI收割
来源：数学与系统科学研究院
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