A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
文献类型：期刊论文
| 作者 | Han, Xiaole1; Li, Yu2; Xie, Hehu3
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 8期号:3页码:383-405 |
| 关键词 | Steklov eigenvalue problem multilevel correction nonconforming finite element method |
| ISSN号 | 1004-8979 |
| DOI | 10.4208/nmtma.2015.m1334 |
| 英文摘要 | In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This correction scheme can increase the overall efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, as same as the direct eigenvalue solving by nonconforming finite element methods, this multilevel correction method can also produce the lower-bound approximations of the eigenvalues. |
| 资助项目 | National Science Foundations of China[NSFC 91330202] ; National Science Foundations of China[11001259] ; National Science Foundations of China[11371026] ; National Science Foundations of China[11201501] ; National Science Foundations of China[11031006] ; National Science Foundations of China[2011CB309703] ; Croucher Foundation of Hong Kong Baptist University ; National Center for Mathematics and Interdisciplinary Science ; CAS ; President Foundation of AMSS-CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000359317100004 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20500]  |
| 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.Inst Appl Phys & Computat Math, Beijing 100094, 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, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Xiaole,Li, Yu,Xie, Hehu. A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2015,8(3):383-405. |
| APA | Han, Xiaole,Li, Yu,&Xie, Hehu.(2015).A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,8(3),383-405. |
| MLA | Han, Xiaole,et al."A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 8.3(2015):383-405. |
入库方式： OAI收割
来源：数学与系统科学研究院
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