Superconvergent derivative recovery for the intermediate finite element family of the second type

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	Superconvergent derivative recovery for the intermediate finite element family of the second type
	Zhang, ZM ; Yan, NN ; Sun, T
	2001-07-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	21 期号:3 页码:643-665
摘要	In this work, a recovery technique for the inter-mediate finite element family of the second type is proposed and analysed on a second-order elliptic model problem. It is shown that when the pollution error is properly controlled, the convergence rate of the recovered gradient is two orders higher than the optimal global rate on an interior subdomain where rectangular meshes of regular type are applied. Some numerical results are provided to confirm the theoretical findings.
关键词	finite element methods integral identity superconvergent recovery intermediate family
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000170073000002
出版者	OXFORD UNIV 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/15842
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, ZM
作者单位	1.Wayne State Univ, Dept Math, Detroit, MI 48202 USA 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
推荐引用方式 GB/T 7714	Zhang, ZM,Yan, NN,Sun, T. Superconvergent derivative recovery for the intermediate finite element family of the second type[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2001,21(3):643-665.
APA	Zhang, ZM,Yan, NN,&Sun, T.(2001).Superconvergent derivative recovery for the intermediate finite element family of the second type.IMA JOURNAL OF NUMERICAL ANALYSIS,21(3),643-665.
MLA	Zhang, ZM,et al."Superconvergent derivative recovery for the intermediate finite element family of the second type".IMA JOURNAL OF NUMERICAL ANALYSIS 21.3(2001):643-665.