Adaptive finite element approximation for distributed elliptic optimal control problems

doi:10.1137/S0363012901389342

科研成果详情

发表状态	已发表Published
题名	Adaptive finite element approximation for distributed elliptic optimal control problems
作者	Li, Ruo 1; Liu, Wenbin 2; Ma, Heping 3; Tang, Tao4
发表日期	2003
发表期刊	SIAM Journal on Control and Optimization
ISSN/eISSN	0036-0129
卷号	41 期号:5 页码:1321-1349
摘要	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.
关键词	A posteriori error estimate Finite element method Mesh adaptivity Optimal control
DOI	10.1137/S0363012901389342
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000180883600001
SciVal 热门主题	T.9377
引用统计	被引频次：242[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2049
专题	个人在本单位外知识产出
通讯作者	Liu, Wenbin
作者单位	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
推荐引用方式 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.