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Status已发表Published
TitleAdaptive finite element approximation for distributed elliptic optimal control problems
Creator
Date Issued2003
Source PublicationSIAM Journal on Control and Optimization
ISSN0036-0129
Volume41Issue:5Pages:1321-1349
Abstract

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic optimal control problems. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems and are implemented in the adaptive approach. Our numerical results indicate that the sharp error estimators work satisfactorily in guiding the mesh adjustments and can save substantial computational work.

KeywordA posteriori error estimate Finite element method Mesh adaptivity Optimal control
DOI10.1137/S0363012901389342
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000180883600001
SciVal Topic ProminenceT.9377
Citation statistics
Cited Times:242[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2049
CollectionResearch outside affiliated institution
Corresponding AuthorLiu, Wenbin
Affiliation
1.School of Mathematical Science, Peking University, Beijing 100871, China
2.CBS, Inst. of Mathematics and Statistics, University of Kent, Canterbury CT2 7NF, United Kingdom
3.Department of Mathematics, Shanghai University, Shanghai 200436, China
4.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Recommended Citation
GB/T 7714
Li, Ruo,Liu, Wenbin,Ma, Hepinget al. Adaptive finite element approximation for distributed elliptic optimal control problems[J]. SIAM Journal on Control and Optimization, 2003, 41(5): 1321-1349.
APA Li, Ruo, Liu, Wenbin, Ma, Heping, & Tang, Tao. (2003). Adaptive finite element approximation for distributed elliptic optimal control problems. SIAM Journal on Control and Optimization, 41(5), 1321-1349.
MLA Li, Ruo,et al."Adaptive finite element approximation for distributed elliptic optimal control problems". SIAM Journal on Control and Optimization 41.5(2003): 1321-1349.
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