A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property

doi:10.4208/eajam.251210.250411a

	A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property
	Lin, Qun; Xie, Hehu
	2011-08-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	1 期号:3 页码:248-263
摘要	In this paper, a new type of gradient recovery method based on vertex-edge-face interpolation is introduced and analyzed. This method gives a new way to recover gradient approximations and has the same simplicity, efficiency, and superconvergence properties as those of superconvergence patch recovery method and polynomial preserving recovery method. Here, we introduce the recovery technique and analyze its superconvergence properties. We also show a simple application in the a posteriori error estimates. Some numerical examples illustrate the effectiveness of this recovery method.
关键词	Finite element method least-squares fitting vertex-edge-face interpolation superconvergence a posteriori error estimate
DOI	10.4208/eajam.251210.250411a
语种	英语
资助项目	National Science Foundation of China[NSFC 11001259]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000208793200005
出版者	GLOBAL 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/11757
专题	计算数学与科学工程计算研究所
通讯作者	Lin, Qun
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Qun,Xie, Hehu. A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2011,1(3):248-263.
APA	Lin, Qun,&Xie, Hehu.(2011).A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,1(3),248-263.
MLA	Lin, Qun,et al."A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 1.3(2011):248-263.