Five-Dimensional Discrete Green's Function and Its Estimates

被引:0
作者
Liu, Jinghong [1 ]
Jia, Yinsuo [2 ]
机构
[1] Zhejiang Univ, Ningbo Inst Technol, Dept Fundamental Courses, Ningbo 315100, Zhejiang, Peoples R China
[2] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this article we first introduce definitions of the regularized Green's function, the discrete Green's function, the discrete delta function, and the L-2 projection operator in five dimensions. Then the W-2,W-1-norm estimate for the regularized Green's function is derived. Finally, we obtain the W-2,W-1-seminorm estimate for the discrete Green's function.
引用
收藏
页码:620 / 627
页数:8
相关论文
共 9 条
[1]  
Adams R. A., 2003, Sobolev Spaces
[2]  
Chen C.M., 2001, Construction Theory of Superconvergence of Finite Elements
[3]  
Chen C.M., 1995, High Accuracy Theory of Finite Element Methods
[4]  
GOODSELL G, 1994, NUMER METH PART D E, V10
[5]  
Liu J. H., 2004, J HUNAN U ARTS SCI, V16, P1
[6]  
Liu JH, 2011, J COMPUT ANAL APPL, V13, P1143
[7]   An estimate for the three-dimensional discrete Green's function and applications [J].
Liu, Jinghong ;
Jia, Bo ;
Zhu, Qiding .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) :350-363
[8]  
Wahlbin L.B., 1995, Superconvergence in Galerkin Finite Element Methods
[9]  
Zhu Q.D., 1989, Superconvergence Theory of the Finite Element Methods