ON THE ACCURACY OF THE FINITE VOLUME ELEMENT METHOD FOR DIFFUSION-EQUATIONS ON COMPOSITE GRIDS

被引：141

作者：

CAI, ZQ

MCCORMICK, S

机构：

[1] Univ of Colorado, , CO

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 03期

关键词：

D O I：

10.1137/0727039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops the finite volume element (FVE) method, which is similar to the so-called control volume finite element method but tailored to composite grid applications. FVE is described for the general two-dimensional diffusion equation in divergence form; O(h3/2$/) discretization error estimates are then developed for the case of triangular elements. These results are improved to O(h2) using a special modification involving rectilinear elements at the grid interface.

引用

页码：636 / 655

页数：20

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