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对流扩散方程的有限元方法
引用本文:陈则民.对流扩散方程的有限元方法[J].天津科技大学学报,1995(2).
作者姓名:陈则民
作者单位:天津轻工业学院基础科学系
摘    要:讨论了常系数线性对流扩散方程的有限元解法。首先对连续时间变量用Galerkin变分方法导出对流扩散方程的有限元方程,它是关于时间变量的一阶线性常微分方程,进而求解该方程组,完成求解对流扩散方程的全过程。

关 键 词:对流扩散方程,有限元方法

FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS
Chen Zemin.FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS[J].Journal of Tianjin University of Science & Technology,1995(2).
Authors:Chen Zemin
Abstract:The convection-diffusion equations (CDE) are commen in partial differential equations. Finite element solutions for linear CDE with constant coefficients are discussed. By Galerkin's variation method of continuous time variable,the finite element equation of CDE is derived. It is a system of first-order ordinary differential equations with respect to time variable.Solving this system of equations,we yield whole process of solving CDE.
Keywords:Convection-diffusion equation  finite element method  
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