A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS

doi:10.1137/060675575

	A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS
	Hu, Qiya1 ; Tai, Xue-Cheng 2,3; Winther, Ragnar 4,5
	2009
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	47 期号:2 页码:1500-1523
摘要	In this paper we consider numerical approximations of a constraint minimization problem, where the object function is a quadratic Dirichlet functional for vector fields and the interior constraint is given by a convex function. The solutions of this problem are usually referred to as harmonic maps. The solution is characterized by a nonlinear saddle point problem, and the corresponding linearized problem is well-posed near strict local minima. The main contribution of the present paper is to establish a corresponding result for a proper finite element discretization in the case of two space dimensions. Iterative schemes of Newton type for the discrete nonlinear saddle point problems are investigated, and mesh independent preconditioners for the iterative methods are proposed.
关键词	harmonic maps nonlinear constraints saddle point problems error estimates
DOI	10.1137/060675575
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000265778900029
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/8639
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China 2.Nanyang Technol Univ, Sch Math & Phys Sci, Div Math Sci, Singapore 637371, Singapore 3.Univ Bergen, Dept Math, N-5008 Bergen, Norway 4.Univ Oslo, Dept Informat, N-1053 Oslo, Norway 5.Univ Oslo, Ctr Math Applicat, N-1053 Oslo, Norway
推荐引用方式 GB/T 7714	Hu, Qiya,Tai, Xue-Cheng,Winther, Ragnar. A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2009,47(2):1500-1523.
APA	Hu, Qiya,Tai, Xue-Cheng,&Winther, Ragnar.(2009).A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(2),1500-1523.
MLA	Hu, Qiya,et al."A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.2(2009):1500-1523.