A note on the optimal L2-estimate of the finite volume element method

被引：104

作者：

Chen, ZY

Li, RH

Zhou, AH

机构：

[1] Zhongshan Univ, Dept Computat Sci, Guangzhou 510275, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130023, Peoples R China

[3] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2002年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

elliptic problem; finite volume method; optimal estimate;

D O I：

10.1023/A:1014577215948

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the optimal L-2-error estimate of the finite volume element method (FVE) for elliptic boundary value problem is discussed. It is shown that parallel tou-u(h)parallel to(0) less than or equal to Ch(2)\lnh\(1/2)parallel tofparallel to(1,l) and parallel tou-u(h)parallel to0 less than or equal to Ch(2)parallel tofparallel to(1,p). p>1 where u is the solution of the variational problem of the second order elliptic partial differential equation, u(h) is the solution of the FVE scheme for solving the problem, and f is the given function in the right-hand side of the equation.

引用

页码：291 / 303

页数：13

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