A posteriori error estimates of recovery type for distributed convex optimal control problems

doi:10.1007/s10915-007-9147-7

CSpace

	A posteriori error estimates of recovery type for distributed convex optimal control problems
	Li, Ruo ; Liu, Wenbin ; Yan, Ningning
	2007-11-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	33 期号:2 页码:155-182
摘要	In this paper, we derive a posteriori error estimates of recovery type, and present the superconvergence analysis for the finite element approximation of distributed convex optimal control problems. We provide a posteriori error estimates of recovery type for both the control and the state approximation, which are generally equivalent. Under some stronger assumptions, they are further shown to be asymptotically exact. Such estimates, which are apparently not available in the literature, can be used to construct adaptive finite element approximation schemes and as a reliability bound for the control problems. Numerical results demonstrating our theoretical results are also presented in this paper.
关键词	distributed optimal control problems finite element approximation superconvergence a posteriori error estimator
DOI	10.1007/s10915-007-9147-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000249731100003
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4677
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Ruo
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Univ Kent, KBS, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Ruo,Liu, Wenbin,Yan, Ningning. A posteriori error estimates of recovery type for distributed convex optimal control problems[J]. JOURNAL OF SCIENTIFIC COMPUTING,2007,33(2):155-182.
APA	Li, Ruo,Liu, Wenbin,&Yan, Ningning.(2007).A posteriori error estimates of recovery type for distributed convex optimal control problems.JOURNAL OF SCIENTIFIC COMPUTING,33(2),155-182.
MLA	Li, Ruo,et al."A posteriori error estimates of recovery type for distributed convex optimal control problems".JOURNAL OF SCIENTIFIC COMPUTING 33.2(2007):155-182.