A posteriori error estimates for distributed convex optimal control problems

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	A posteriori error estimates for distributed convex optimal control problems
	Liu, WB ; Yan, NN
	2001
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	15 期号:1-4 页码:285-309
摘要	In this paper, we present an a posteriori error analysis for finite element approximation of distributed convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for control problems. Explicit estimates are obtained for some model problems which frequently appear in real-life applications.
关键词	distributed optimal control finite element approximation adaptive finite element methods a posteriori error estimates
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000174392100012
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16569
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Kent, CBS, Canterbury CT2 7NF, Kent, England 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, WB,Yan, NN. A posteriori error estimates for distributed convex optimal control problems[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2001,15(1-4):285-309.
APA	Liu, WB,&Yan, NN.(2001).A posteriori error estimates for distributed convex optimal control problems.ADVANCES IN COMPUTATIONAL MATHEMATICS,15(1-4),285-309.
MLA	Liu, WB,et al."A posteriori error estimates for distributed convex optimal control problems".ADVANCES IN COMPUTATIONAL MATHEMATICS 15.1-4(2001):285-309.