A posteriori error estimates for control problems governed by Stokes equations

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	A posteriori error estimates for control problems governed by Stokes equations
	Liu, WB ; Yan, NN
	2002-12-03
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	40 期号:5 页码:1850-1869
摘要	In this paper, we derive a posteriori error estimates for the finite element approximation of distributed optimal control problems governed by the Stokes equations. We obtain a posteriori error estimators for both the state and the control approximation in the L-2 norm and the H-1 norm. These estimates can be used to construct reliable adaptive finite element approximation for the control problems.
关键词	distributed optimal control finite element approximation adaptive finite element methods a posteriori error estimates Stokes equations
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000180172100012
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16993
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, WB
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, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, WB,Yan, NN. A posteriori error estimates for control problems governed by Stokes equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(5):1850-1869.
APA	Liu, WB,&Yan, NN.(2002).A posteriori error estimates for control problems governed by Stokes equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(5),1850-1869.
MLA	Liu, WB,et al."A posteriori error estimates for control problems governed by Stokes equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.5(2002):1850-1869.