Adaptive finite element methods for the identification of distributed parameters in elliptic equation

doi:10.1007/s10444-007-9035-6

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	Adaptive finite element methods for the identification of distributed parameters in elliptic equation
	Feng, Tao 1; Yan, Ningning 2; Liu, Wenbin 3
	2008-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	29 期号:1 页码:27-53
摘要	In this paper, adaptive finite element method is developed for the estimation of distributed parameter in elliptic equation. Both upper and lower error bound are derived and used to improve the accuracy by appropriate mesh refinement. An efficient preconditioned project gradient algorithm is employed to solve the nonlinear least-squares problem arising in the context of parameter identification problem. The efficiency of our error estimators is demonstrated by some numerical experiments.
关键词	parameter identification finite element approximation adaptive finite element methods least-squares Gauss-Newton
DOI	10.1007/s10444-007-9035-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000257366400002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6449
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Bergen, CIPR, N-5007 Bergen, Norway 2.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England
推荐引用方式 GB/T 7714	Feng, Tao,Yan, Ningning,Liu, Wenbin. Adaptive finite element methods for the identification of distributed parameters in elliptic equation[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,29(1):27-53.
APA	Feng, Tao,Yan, Ningning,&Liu, Wenbin.(2008).Adaptive finite element methods for the identification of distributed parameters in elliptic equation.ADVANCES IN COMPUTATIONAL MATHEMATICS,29(1),27-53.
MLA	Feng, Tao,et al."Adaptive finite element methods for the identification of distributed parameters in elliptic equation".ADVANCES IN COMPUTATIONAL MATHEMATICS 29.1(2008):27-53.