A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS
文献类型：期刊论文
| 作者 | He, Yunhui1; Li, Yu2; Xie, Hehu3,4 ; You, Chun'Guang5; Zhang, Ning3,4
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| 刊名 | APPLICATIONS OF MATHEMATICS
 |
| 出版日期 | 2018-06-01 |
| 卷号 | 63期号:3页码:281-303 |
| 关键词 | eigenvalue problem finite element method Newton's method multilevel iteration |
| ISSN号 | 0862-7940 |
| DOI | 10.21136/AM.2018.0086-18 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000440108200006 |
| 出版者 | ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30824]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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