The local ultraconvergence for high-degree Galerkin finite element methods

doi:10.1016/j.jmaa.2016.08.017

	The local ultraconvergence for high-degree Galerkin finite element methods
	He, Wen-ming 1; Cui, Junzhi2 ; Shen, Jiangman 1
	2017-02-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	446 期号:1 页码:62-86
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.
关键词	Elliptic problem Ultraconvergence Derivative recovery operator Displacement Derivative
DOI	10.1016/j.jmaa.2016.08.017
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000386982000004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24062
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.