The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains

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	The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains
	Liu, Dongjie 1; Yu, Dehao 2
	2008-12-01
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	37 期号:3 页码:305-329
摘要	The coupling method of natural boundary element and mixed finite element is applied to analyze the stationary Navier-Stokes equation in 2-D unbounded domains. After an artificial smooth boundary is introduced, the original nonlinear problem is reduced into all equivalent problem defined in bounded computational domain. The well-posedness of the reduced problem is proved. The finite element approximation of this problem is given, and numerical example is provided to show the feasibility and efficiency of the method.
关键词	Navier-Stokes equation boundary element method coupling mixed finite element method
语种	英语
资助项目	National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; Beijing Natural Science Foundation[1072009] ; Shanghai University Innovation Foundation[10-0101-08-415]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000264117100004
出版者	TECH SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5307
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Dongjie
作者单位	1.Shanghai Univ, Dept Math, Coll Sci, Shanghai 20044, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Liu, Dongjie,Yu, Dehao. The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2008,37(3):305-329.
APA	Liu, Dongjie,&Yu, Dehao.(2008).The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,37(3),305-329.
MLA	Liu, Dongjie,et al."The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 37.3(2008):305-329.