A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS
文献类型：期刊论文
| 作者 | Hu, Qiya1 ; Tai, Xue-Cheng2,3; Winther, Ragnar4,5
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| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 47期号:2页码:1500-1523 |
| 关键词 | harmonic maps nonlinear constraints saddle point problems error estimates |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/060675575 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265778900029 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8638]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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