Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method
文献类型：期刊论文
| 作者 | Lin, Qun ; Xie, Hehu
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2009-08-01 |
| 卷号 | 59期号:8页码:1884-1893 |
| 关键词 | Second order elliptic eigenvalue problem Mixed finite element method Asymptotic error expansion Richardson extrapolation Raviart-Thomas element |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2009.01.011 |
| 英文摘要 | The paper provides a general procedure or method to produce asymptotic error expansion for the eigenvalue approximations of second order elliptic problems by the mixed finite element method. We obtain a transform lemma for the error of the eigenvalue approximations. As an application of the transform lemma, the asymptotic error expansion of the eigenvalue approximations for the second order elliptic problem by the lowest order Raviart-Thomas mixed finite element method is given by means of integral identity technique. Based on such an error expansion, Richardson extrapolation technique is applied to improve the accuracy of the eigenvalue approximations. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000267210500011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7379]  |
| 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 | Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Qun,Xie, Hehu. Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method[J]. APPLIED NUMERICAL MATHEMATICS,2009,59(8):1884-1893. |
| APA | Lin, Qun,&Xie, Hehu.(2009).Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method.APPLIED NUMERICAL MATHEMATICS,59(8),1884-1893. |
| MLA | Lin, Qun,et al."Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method".APPLIED NUMERICAL MATHEMATICS 59.8(2009):1884-1893. |
入库方式： OAI收割
来源：数学与系统科学研究院
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