SUPERCLOSENESS AND SUPERCONVERGENCE OF STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATIONS OF THE STOKES PROBLEM

	SUPERCLOSENESS AND SUPERCONVERGENCE OF STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATIONS OF THE STOKES PROBLEM
	Eichel, Hagen 1; Tobiska, Lutz 1; Xie, Hehu2
	2011-04-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	80 期号:274 页码:697-722
摘要	The supercloseness and superconvergence properties of stabilized finite element methods applied to the Stokes problem are studied. We consider consistent residual based stabilization methods as well as inconsistent local projection type stabilizations. Moreover, we are able to show the supercloseness of the linear part of the MINI-element solution which has been previously observed in practical computations. The results on supercloseness hold on three-directional triangular, axiparallel rectangular, and brick-type meshes, respectively, but extensions to more general meshes are also discussed. Applying an appropriate postprocess to the computed solution, we establish superconvergence results. Numerical examples illustrate the theoretical predictions.
语种	英语
资助项目	BMBF[03TOPAA1] ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000288587600004
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11742
专题	计算数学与科学工程计算研究所
通讯作者	Eichel, Hagen
作者单位	1.Otto VonGuericke Univ Magdegurg, Inst Anal & Computat Math, D-39016 Magdeburg, Germany 2.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Eichel, Hagen,Tobiska, Lutz,Xie, Hehu. SUPERCLOSENESS AND SUPERCONVERGENCE OF STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATIONS OF THE STOKES PROBLEM[J]. MATHEMATICS OF COMPUTATION,2011,80(274):697-722.
APA	Eichel, Hagen,Tobiska, Lutz,&Xie, Hehu.(2011).SUPERCLOSENESS AND SUPERCONVERGENCE OF STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATIONS OF THE STOKES PROBLEM.MATHEMATICS OF COMPUTATION,80(274),697-722.
MLA	Eichel, Hagen,et al."SUPERCLOSENESS AND SUPERCONVERGENCE OF STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATIONS OF THE STOKES PROBLEM".MATHEMATICS OF COMPUTATION 80.274(2011):697-722.