An estimate for the three-dimensional discrete Green's function and applications

被引：24
作者：
Liu, Jinghong [1 ]
Jia, Bo [2 ]
Zhu, Qiding [2 ]
机构：
[1] Zhejiang Univ, Ningbo Inst Technol, Dept Fundamental Courses, Ningbo 315100, Zhejiang, Peoples R China
[2] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 370卷 / 02期
关键词：
Regularized Green's function; Discrete Green's function; Block finite element; Weak estimates; FINITE-ELEMENT METHODS; SUPERCONVERGENCE; SUPERAPPROXIMATION; GRADIENT; POINTS;
D O I：
10.1016/j.jmaa.2010.05.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we first introduce definitions of the regularized Green's function and the discrete Green's function in three dimensions. With complicated arguments estimates for these two functions are then derived. Finally we give an application of the estimate for the discrete Green's function to the high accuracy analysis of the three-dimensional block finite element approximation. (C) 2010 Elsevier Inc. All rights reserved.
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收藏
页码：350 / 363
页数：14
相关论文
共 25 条
[1]  
Adams R., 1985, Sobolev Spaces
[2]  
Brandts J, 2005, J COMPUT MATH, V23, P27
[3]   Gradient superconvergence on uniform simplicial partitions of polytopes [J].
Brandts, J ;
Krízek, M .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 23 (03) :489-505
[4]  
BRANDTS J, 2001, SER MATH SCI APPL, V15, P22
[5]  
Chen C. M., 2001, Construction theory of superconvergence of finite elements
[6]  
Chen C. M., 1980, Nat. Sci. J. Xiangtan Univ., V3, P16
[7]  
Chen CM., 1995, HIGH ACCURACY THEORY
[8]  
Chen L, 2006, INT J NUMER ANAL MOD, V3, P273
[9]  
CIARLET P. G., 2002, Classics in Appl. Math., V40
[10]  
Goodsell G, 1990, RAL90031 SCI ENG RES
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