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A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIER BASED ON THE POINTWISE MATCHING CONDITION
Sun, Dudu1; Hu, Qiya; Shu, Shi2
2009
发表期刊INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
卷号6期号:1页码:147-160
摘要In this paper, we are concerned with an on overlapping domain decomposition method with nonmatching grids. In this method, a new pointwise matching condition is used to define weak continuity of approximate solutions on the interface. The main merit of the new method is that numerical integrations can be avoided when calculating interface matrices. We derive an almost optimal error estimate of the resulting approximate solutions for two kinds of applicable situations. Some numerical experiments confirm the theoretical result.
关键词domain decomposition nonmatching grids pointwise matching error estimate
语种英语
资助项目The Key Project of Natura Science Foundation of China[G10531080] ; National Basic Research Program of China[G2005CB321702] ; Natural Science Foundation of China[G10771178]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000264008000008
出版者ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/7340
专题计算数学与科学工程计算研究所
通讯作者Sun, Dudu
作者单位1.Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China
2.Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China
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Sun, Dudu,Hu, Qiya,Shu, Shi. A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIER BASED ON THE POINTWISE MATCHING CONDITION[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(1):147-160.
APA Sun, Dudu,Hu, Qiya,&Shu, Shi.(2009).A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIER BASED ON THE POINTWISE MATCHING CONDITION.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(1),147-160.
MLA Sun, Dudu,et al."A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIER BASED ON THE POINTWISE MATCHING CONDITION".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.1(2009):147-160.
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