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A posteriori error estimates for optimal control problems governed by parabolic equations
Liu, WB; Yan, NN
2003
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume93Issue:3Pages:497-521
AbstractIn this paper, we derive a posteriori error estimates for the finite element approximation of quadratic optimal control problem governed by linear parabolic equation. We obtain a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive finite element approximation schemes for the control problem.
DOI10.1007/s002110100380
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000180900500005
PublisherSPRINGER-VERLAG
Citation statistics
Cited Times:95[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18386
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Kent, CBS, Canterbury CT2 7PE, Kent, England
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Liu, WB,Yan, NN. A posteriori error estimates for optimal control problems governed by parabolic equations[J]. NUMERISCHE MATHEMATIK,2003,93(3):497-521.
APA Liu, WB,&Yan, NN.(2003).A posteriori error estimates for optimal control problems governed by parabolic equations.NUMERISCHE MATHEMATIK,93(3),497-521.
MLA Liu, WB,et al."A posteriori error estimates for optimal control problems governed by parabolic equations".NUMERISCHE MATHEMATIK 93.3(2003):497-521.
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