The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes

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	The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes
	Shi, Zhong-Ci ; Xu, Xuejun ; Zhang, Zhimin
	2008
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	9 期号:1 页码:163-182
摘要	In this paper, some patch recovery methods are proposed and analyzed for finite element approximation of elasticity problems using quadrilateral meshes. Under a mild mesh condition, superconvergence results are established for the recovered stress tensors. consequently, a posteriori error estimators based on the recovered stress tensors are asymptotically exact.
关键词	finite element superconvergence gradient recovery linear elasticity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000251428200011
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5846
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, Zhong-Ci
作者单位	1.Chinese Acad Sci, Inst Comp Math, LSEC, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China 3.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
推荐引用方式 GB/T 7714	Shi, Zhong-Ci,Xu, Xuejun,Zhang, Zhimin. The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2008,9(1):163-182.
APA	Shi, Zhong-Ci,Xu, Xuejun,&Zhang, Zhimin.(2008).The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,9(1),163-182.
MLA	Shi, Zhong-Ci,et al."The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 9.1(2008):163-182.