THE FINITE VOLUME ELEMENT METHOD FOR DIFFUSION-EQUATIONS ON GENERAL TRIANGULATIONS

被引：193

作者：

CAI, ZQ ^{[1
]}

MANDEL, J ^{[1
]}

MCCORMICK, S ^{[1
]}

机构：

[1] UNIV COLORADO,COMPUTAT MATH GRP,DENVER,CO 80217

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 02期

关键词：

FINITE VOLUME; FINITE ELEMENT; ERROR ESTIMATES; DISCRETIZATION; ADAPTIVE;

D O I：

10.1137/0728022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops discretization error estimates for the finite volume element method on general triangulations of a polygonal domain in R2 using a special type of control volume. The theory applies to diffusion equations of the form -del (A del u) = f in OMEGA, u = O on partial-OMEGA. Under fairly general conditions, the theory establishes O(h) estimates of the error in a discrete H1 seminorm. Under an additional assumption concerning local uniformity of the triangulation, the estimate is improved to O(h2).

引用

页码：392 / 402

页数：11

共 14 条

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Adams R., 2003, SOBOLEV SPACES

[2]

Baliga B. R., 1980, Numerical Heat Transfer, V3, P393, DOI 10.1080/01495728008961767

[3] SOME ERROR-ESTIMATES FOR THE BOX METHOD [J].