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

doi:10.4208/jcm.2009.09-m1001

CSpace

	RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS
	Liu, Tang 1; Yan, Ningning 2; Zhang, Shuhua 3
	2010
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	28 期号:1 页码:55-71
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.
关键词	Optimal control problem Finite element methods Asymptotic error expansions Defect correction A posteriori error estimates
DOI	10.4208/jcm.2009.09-m1001
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274262000005
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9688
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.