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The local ultraconvergence for high-degree Galerkin finite element methods
He, Wen-ming1; Cui, Junzhi2; Shen, Jiangman1
2017-02-01
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume446Issue:1Pages:62-86
AbstractIn 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.
KeywordElliptic problem Ultraconvergence Derivative recovery operator Displacement Derivative
DOI10.1016/j.jmaa.2016.08.017
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000386982000004
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24062
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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