The local ultraconvergence for high-degree Galerkin finite element methods

doi:10.1016/j.jmaa.2016.08.017

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	The local ultraconvergence for high-degree Galerkin finite element methods
	He, Wen-ming 1; Cui, Junzhi2 ; Shen, Jiangman 1
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2017-02-01
卷号	446 期号:1 页码:62-86
关键词	Elliptic problem Ultraconvergence Derivative recovery operator Displacement Derivative
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2016.08.017
英文摘要	In this paper, we investigate the local ultraconvergence of k-degree (k >= 3) finite element methods for the second order elliptic boundary value problem with constant coefficients over a family of uniform rectangular/triangular meshes 77, on a bounded rectangular domain D. The k-degree finite element estimates are developed for the Green's function and its derivatives. They are employed to explore the relationship among dist(x, partial derivative D), dist(x, M) and the ultraconvergence of k-degree finite element methods at vertex x, where M is the set of corners of D. Numerical examples are conducted to demonstrate our theoretical results. (C) 2016 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11671304] ; National Natural Science Foundation of China[11301396] ; National Natural Science Foundation of China[11171257] ; Zhejiang Provincial Natural Science Foundation, China[LY15A010015]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000386982000004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/24061]
专题	计算数学与科学工程计算研究所
通讯作者	He, Wen-ming
作者单位	1.Wenzhou Univ, Dept Math, Wenzhou 320035, Zhejiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Wen-ming,Cui, Junzhi,Shen, Jiangman. The local ultraconvergence for high-degree Galerkin finite element methods[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2017,446(1):62-86.
APA	He, Wen-ming,Cui, Junzhi,&Shen, Jiangman.(2017).The local ultraconvergence for high-degree Galerkin finite element methods.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,446(1),62-86.
MLA	He, Wen-ming,et al."The local ultraconvergence for high-degree Galerkin finite element methods".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 446.1(2017):62-86.