Status | 已发表Published |
Title | Adaptive finite element approximation for distributed elliptic optimal control problems |
Creator | |
Date Issued | 2003 |
Source Publication | SIAM Journal on Control and Optimization
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ISSN | 0036-0129 |
Volume | 41Issue: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. |
Keyword | A posteriori error estimate Finite element method Mesh adaptivity Optimal control |
DOI | 10.1137/S0363012901389342 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Automation & Control Systems ; Mathematics |
WOS Subject | Automation & Control Systems ; Mathematics, Applied |
WOS ID | WOS:000180883600001 |
SciVal Topic Prominence | T.9377 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/2049 |
Collection | Research outside affiliated institution |
Corresponding Author | Liu, 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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