The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

被引：4

作者：

Yang, Qing ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

DIFFUSION-EQUATIONS;

D O I：

10.1155/2013/351619

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented. Upwind technique is applied to handle the nonlinear convection term. We present the semi-discrete scheme and fully discrete scheme, respectively. We show that the schemes are convergent to order one in space in L-2-norm. Numerical experiment is presented finally to validate the theoretical analysis.

引用

页数：11

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