A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
文献类型：期刊论文
| 作者 | Gong, Wei; Yan, Ningning |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2009 |
| 卷号 | 27期号:1页码:68-88 |
| 关键词 | Boundary control problems Finite element method A posteriori error estimate Parabolic partial differential equations |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we discuss the a posteriori error estimate of the finite element approximation for the boundary control problems governed by the parabolic partial differential equations. Three different a posteriori error estimators are provided for the parabolic boundary control problems with the observations of the distributed state, the boundary state and the final state. It is proven that these estimators are reliable bounds of the finite element approximation errors, which can be used as the indicators of the mesh refinement in adaptive finite element methods. |
| 资助项目 | National Nature Science Foundation[60474027] ; National Nature Science Foundation[10771211] ; National Basic Research Program[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263626900003 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7786]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gong, Wei |
| 作者单位 | 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. A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(1):68-88. |
| APA | Gong, Wei,&Yan, Ningning.(2009).A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(1),68-88. |
| MLA | Gong, Wei,et al."A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.1(2009):68-88. |
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。