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ADAPTIVE FINITE ELEMENT APPROXIMATION FOR A CLASS OF PARAMETER ESTIMATION PROBLEMS

文献类型：期刊论文

作者Kunisch, Karl1; Liu, Wenbin2; Chang, Yanzhen3; Yan, Ningning3; Li, Ruo4; Yan Ningning
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2010-09-01
卷号28期号:5页码:645-675
关键词Parameter estimation Finite element approximation Adaptive finite element methods A posteriori error estimate
ISSN号0254-9409
DOI10.4208/jcm.2009.10-m1016
英文摘要In this paper, we study adaptive finite element discretisation schemes for a class of parameter estimation problem. We propose to use adaptive multi-meshes in developing efficient algorithms for the estimation problem. We derive equivalent a posteriori error estimators for both the state and the control approximation, which particularly suit an adaptive multi-mesh finite element scheme. The error estimators are then implemented and tested with promising numerical results.
资助项目National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505] ; National Natural Science Foundation of China[10771211]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000281879100005
出版者VSP BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10670]  
专题系统科学研究所
通讯作者Kunisch, Karl
作者单位1.Graz Univ, Dept Math, A-8010 Graz, Austria
2.Univ Kent, KBS, Canterbury CT2 7NF, Kent, England
3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing, Peoples R China
4.Peking Univ, Dept Computat Math, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Kunisch, Karl,Liu, Wenbin,Chang, Yanzhen,et al. ADAPTIVE FINITE ELEMENT APPROXIMATION FOR A CLASS OF PARAMETER ESTIMATION PROBLEMS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(5):645-675.
APA Kunisch, Karl,Liu, Wenbin,Chang, Yanzhen,Yan, Ningning,Li, Ruo,&Yan Ningning.(2010).ADAPTIVE FINITE ELEMENT APPROXIMATION FOR A CLASS OF PARAMETER ESTIMATION PROBLEMS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(5),645-675.
MLA Kunisch, Karl,et al."ADAPTIVE FINITE ELEMENT APPROXIMATION FOR A CLASS OF PARAMETER ESTIMATION PROBLEMS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.5(2010):645-675.

入库方式： OAI收割

来源：数学与系统科学研究院

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