An upwind finite volume method for convection-diffusion equations on rectangular mesh

被引：5

作者：

Tan, Jiawei ^{[1
,2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

[2] Changchun Univ Technol, Sch Math & Stat, Changchun 130012, Jilin, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 118卷

关键词：

Convection-diffusion; Upwind finite volume method; Maximum principle; Stability; Error estimate; ELEMENT METHOD; SCHEMES; MAGNETOHYDRODYNAMICS; APPROXIMATION; CONVERGENCE; OPERATORS;

D O I：

10.1016/j.chaos.2018.09.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present an upwind finite volume method to solve the convection-diffusion equations with Dirichlet boundary on rectangular mesh. By utilizing the technique of element-by-element analysis, the stability of the method has been proved and the H-1-norm error estimate is presented. Furthermore, we provide the proofs of the maximum principle and L-infinity-norm error estimate. Finally, some numerical experiments are provided to confirm our theoretical results. (C) 2018 Published by Elsevier Ltd.

引用

页码：159 / 165

页数：7

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