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.
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页数：11
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