An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems

CSpace

	An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems
	Chen, ZM ; Zou, J
	1999-04-13
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	37 期号:3 页码:892-910
摘要	The identification of discontinuous parameters in elliptic systems is formulated as a constrained minimization problem combining the output least squares and the equation error method. The minimization problem is then proved to be equivalent to the saddle-point problem of an augmented Lagrangian. The finite element method is used to discretize the saddle-point problem, and the convergence of the discretization is also proved. Finally, an Uzawa algorithm is suggested for solving the discrete saddle-point problem and is shown to be globally convergent.
关键词	parameter identification elliptic system augmented Lagrangian finite element method
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000079662600011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14754
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, ZM
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, NT, Hong Kong
推荐引用方式 GB/T 7714	Chen, ZM,Zou, J. An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(3):892-910.
APA	Chen, ZM,&Zou, J.(1999).An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(3),892-910.
MLA	Chen, ZM,et al."An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.3(1999):892-910.