KMS Of Academy of mathematics and systems sciences, CAS
SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS | |
Yan, Ningning | |
2009-06-01 | |
发表期刊 | APPLICATIONS OF MATHEMATICS
![]() |
ISSN | 0862-7940 |
卷号 | 54期号:3页码:267-283 |
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. |
关键词 | optimal control integral equation Galerkin method superconvergence a posteriori error estimates |
语种 | 英语 |
资助项目 | National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771211] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000266945200007 |
出版者 | ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/7601 |
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Yan, Ningning]的文章 |
百度学术 |
百度学术中相似的文章 |
[Yan, Ningning]的文章 |
必应学术 |
必应学术中相似的文章 |
[Yan, Ningning]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论