Superconvergence analysis of FEMs for the Stokes-Darcy system

doi:10.1002/mma.1279

	Superconvergence analysis of FEMs for the Stokes-Darcy system
	Chen, Wenbin 1; Chen, Puying 2; Gunzburger, Max 3; Yan, Ningning 4
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2010-09-15
卷号	33 期号:13 页码:1605-1617
关键词	Stokes and Darcy equations superconvergence Hood-Taylor element
ISSN号	0170-4214
DOI	10.1002/mma.1279
英文摘要	We consider a superconvergence analysis for quadratic finite element approximations of the Stokes-Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results. Copyright (C) 2010 John Wiley & Sons, Ltd.
资助项目	Chinese MOE ; National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505] ; Shanghai NSF[10ZR1403400] ; National Talents Training Base for Basic research and Teaching of Natural Science of China[J0730103] ; National Sciences Foundation[DMS-0620035] ; National Natural Science Foundation of China[10771211]
WOS研究方向	Mathematics
语种	英语
出版者	JOHN WILEY & SONS LTD
WOS记录号	WOS:000280699000009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9299]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Wenbin
作者单位	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 3.Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA 4.Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Wenbin,Chen, Puying,Gunzburger, Max,et al. Superconvergence analysis of FEMs for the Stokes-Darcy system[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2010,33(13):1605-1617.
APA	Chen, Wenbin,Chen, Puying,Gunzburger, Max,&Yan, Ningning.(2010).Superconvergence analysis of FEMs for the Stokes-Darcy system.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,33(13),1605-1617.
MLA	Chen, Wenbin,et al."Superconvergence analysis of FEMs for the Stokes-Darcy system".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 33.13(2010):1605-1617.