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A posteriori error estimates for control problems governed by Stokes equations
Liu, WB; Yan, NN
2002-12-03
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume40Issue:5Pages:1850-1869
AbstractIn 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.
Keyworddistributed optimal control finite element approximation adaptive finite element methods a posteriori error estimates Stokes equations
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000180172100012
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16993
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiu, WB
Affiliation1.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
Recommended Citation
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.
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