Numerical analysis for the approximation of optimal control problems with pointwise observations
文献类型：期刊论文
| 作者 | Chang, Lili1; Gong, Wei2 ; Yan, Ningning3
|
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 38期号:18页码:4502-4520 |
| 关键词 | optimal control problems pointwise observations finite element method a priori error estimate a posteriori error estimate |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.2861 |
| 英文摘要 | In this paper, we study the numerical methods for optimal control problems governed by elliptic PDEs with pointwise observations of the state. The first order optimality conditions as well as regularities of the solutions are derived. The optimal control and adjoint state have low regularities due to the pointwise observations. For the finite dimensional approximation, we use the standard conforming piecewise linear finite elements to approximate the state and adjoint state variables, whereas variational discretization is applied to the discretization of the control. A priori and a posteriori error estimates for the optimal control, the state and adjoint state are obtained. Numerical experiments are also provided to confirm our theoretical results. Copyright (C) 2013 John Wiley & Sons, Ltd. |
| 资助项目 | National Natural Science Foundation of China[11171337] ; National Natural Science Foundation of China[11201464] ; National Basic Research Program[2010CB731505] ; National Basic Research Program[2012CB821204] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000368252300005 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21752]  |
| 专题 | 计算数学与科学工程计算研究所 系统科学研究所 |
| 通讯作者 | Chang, Lili |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, NCMIS & LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chang, Lili,Gong, Wei,Yan, Ningning. Numerical analysis for the approximation of optimal control problems with pointwise observations[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2015,38(18):4502-4520. |
| APA | Chang, Lili,Gong, Wei,&Yan, Ningning.(2015).Numerical analysis for the approximation of optimal control problems with pointwise observations.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,38(18),4502-4520. |
| MLA | Chang, Lili,et al."Numerical analysis for the approximation of optimal control problems with pointwise observations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 38.18(2015):4502-4520. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。