A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation
文献类型：期刊论文
| 作者 | Yan, Ningning; Zhou, Zhaojie |
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 1期号:3页码:297-320 |
| 关键词 | Constrained optimal control problem convection dominated diffusion equation streamline diffusion finite element method a priori error estimate a posteriori error estimate |
| ISSN号 | 1004-8979 |
| 英文摘要 | In this paper, we investigate a streamline diffusion finite element approximation scheme for the constrained optimal control problem governed by linear convection dominated diffusion equations. We prove the existence and uniqueness of the discretized scheme. Then a priori and a posteriori error estimates are derived for the state, the co-state and the control. Three numerical examples are presented to illustrate our theoretical results. |
| 资助项目 | National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[60474027] ; National Natural Science Foundation of China[10771211] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000207474000003 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5359]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, Ningning |
| 作者单位 | Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Ningning,Zhou, Zhaojie. A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(3):297-320. |
| APA | Yan, Ningning,&Zhou, Zhaojie.(2008).A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(3),297-320. |
| MLA | Yan, Ningning,et al."A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.3(2008):297-320. |
入库方式： OAI收割
来源：数学与系统科学研究院
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