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An anisotropic, superconvergent nonconforming plate finite element

文献类型：期刊论文

作者Chen, Shaochun2; Yin, Li2; Mao, Shipeng1
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2008-10-15
卷号220期号:1-2页码:96-110
关键词regularity condition double set parameter nonconforming plate element anisotropic convergence superconvergence
ISSN号0377-0427
DOI10.1016/j.cam.2007.07.034
英文摘要The classical finite elementconvergence analysis relies on the following regularity condition: there exists a constant c independent of the element K and the mesh such that h(K/)p(K) <= c, where h(K) and p(K) are diameters of K and the biggest ball contained in K, respectively. In this paper. we construct a new, nonconforming rectangular plate element by the double set parameter method. We prove the convergence of this element without the above regularity condition. The key in our proof is to obtain the O(h(2)) consistency error. We also prove the superconvergence of this element for narrow rectangular meshes. Results of our numerical tests agree well with our analysis. (C) 2007 Elsevier B.V. All rights reserved.
资助项目NSFC[10471133] ; NSFC[10590353]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000258636800011
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6274]  
专题计算数学与科学工程计算研究所
通讯作者Mao, Shipeng
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Shaochun,Yin, Li,Mao, Shipeng. An anisotropic, superconvergent nonconforming plate finite element[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,220(1-2):96-110.
APA Chen, Shaochun,Yin, Li,&Mao, Shipeng.(2008).An anisotropic, superconvergent nonconforming plate finite element.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,220(1-2),96-110.
MLA Chen, Shaochun,et al."An anisotropic, superconvergent nonconforming plate finite element".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 220.1-2(2008):96-110.

入库方式： OAI收割

来源：数学与系统科学研究院

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