Robust error estimates for the finite element approximation of elliptic optimal control problems
文献类型：期刊论文
| 作者 | Gong, Wei1 ; Yan, Ningning2
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2011-10-15 |
| 卷号 | 236期号:6页码:1370-1381 |
| 关键词 | Optimal control problem Bang-bang control Finite element method A priori error estimate A posteriori error estimate |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2011.09.001 |
| 英文摘要 | In this paper, we consider the finite element approximation of an elliptic optimal control problem. Based on an assumption on the adjoint state of the continuous problem with a small parameter, which represents a regularization of the bang-bang type control problem, we derive robust a priori error estimates for optimal control and state and a posteriori error estimate is also presented. Numerical experiments confirm our theoretical results. (C) 2011 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[10771211] ; National Basic Research Program[2010CB731505] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000298271800026 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12401]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Gong, Wei |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gong, Wei,Yan, Ningning. Robust error estimates for the finite element approximation of elliptic optimal control problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,236(6):1370-1381. |
| APA | Gong, Wei,&Yan, Ningning.(2011).Robust error estimates for the finite element approximation of elliptic optimal control problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,236(6),1370-1381. |
| MLA | Gong, Wei,et al."Robust error estimates for the finite element approximation of elliptic optimal control problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236.6(2011):1370-1381. |
入库方式： OAI收割
来源：数学与系统科学研究院
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