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RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS

文献类型：期刊论文

作者Liu, Tang1; Yan, Ningning2; Zhang, Shuhua3
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2010
卷号28期号:1页码:55-71
关键词Optimal control problem Finite element methods Asymptotic error expansions Defect correction A posteriori error estimates
ISSN号0254-9409
DOI10.4208/jcm.2009.09-m1001
英文摘要Asymptotic error expansions in H-1-norm for the bilinear finite element approximation to a class of optimal control problems are derived for rectangular meshes. With the rectangular meshes, the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied. The higher order numerical approximations are used to generate a posteriori error estimators for the finite element approximation.
资助项目National Basic Research Program[2007CB814906] ; National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; National Natural Science Foundation of China[10771211] ; Social Science Foundation of the Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300] ; Tianjin University of Finance and Economics
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000274262000005
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9687]  
专题中国科学院数学与系统科学研究院
通讯作者Liu, Tang
作者单位1.Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Tang,Yan, Ningning,Zhang, Shuhua. RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(1):55-71.
APA Liu, Tang,Yan, Ningning,&Zhang, Shuhua.(2010).RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(1),55-71.
MLA Liu, Tang,et al."RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.1(2010):55-71.

入库方式： OAI收割

来源：数学与系统科学研究院

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