Accuracy analysis of the Adini element for biharmonic equation

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	Accuracy analysis of the Adini element for biharmonic equation
	Luo, P ; Lin, Q
	2004-02-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:1 页码:135-146
摘要	In this paper, we consider the solution of the biharmonic equation using Adini nonconforming finite element, and report new results of the asymptotic error expansions of the interpolation error functionals and nonconforming remainder. These expansions are used to develop two extrapolation formulas and a series of sharp error estimates. Finally, the numerical results have verified the extrapolation theory.
关键词	Adini nonconforming element extrapolation error expansion biharmonic equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221646200013
出版者	SPRINGER-VERLAG HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19691
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, P
作者单位	1.Tsing Hua Univ, Dept Comp Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, P,Lin, Q. Accuracy analysis of the Adini element for biharmonic equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(1):135-146.
APA	Luo, P,&Lin, Q.(2004).Accuracy analysis of the Adini element for biharmonic equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(1),135-146.
MLA	Luo, P,et al."Accuracy analysis of the Adini element for biharmonic equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.1(2004):135-146.