SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS
文献类型：期刊论文
| 作者 | Yan, Ningning |
| 刊名 | APPLICATIONS OF MATHEMATICS
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 54期号:3页码:267-283 |
| 关键词 | optimal control integral equation Galerkin method superconvergence a posteriori error estimates |
| ISSN号 | 0862-7940 |
| 英文摘要 | In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement. |
| 语种 | 英语 |
| WOS记录号 | WOS:000266945200007 |
| 出版者 | ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7600]  |
| 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 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Ningning. SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS[J]. APPLICATIONS OF MATHEMATICS,2009,54(3):267-283. |
| APA | Yan, Ningning.(2009).SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS.APPLICATIONS OF MATHEMATICS,54(3),267-283. |
| MLA | Yan, Ningning."SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS".APPLICATIONS OF MATHEMATICS 54.3(2009):267-283. |
入库方式： OAI收割
来源：数学与系统科学研究院
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