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

文献类型：期刊论文

作者Lin, Qun; Xie, Hehu
刊名EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
出版日期2011-08-01
卷号1期号:3页码:248-263
关键词Finite element method least-squares fitting vertex-edge-face interpolation superconvergence a posteriori error estimate
ISSN号2079-7362
DOI10.4208/eajam.251210.250411a
英文摘要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.
资助项目National Science Foundation of China[NSFC 11001259]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000208793200005
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11756]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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