GALERKIN PARTIAL UPWIND FINITE ELEMENT METHOD FOR THE CONVECTION-DIFFUSION EQUATIONS
对流-扩散问题的Galerkin部分迎风有限元方法

This paper deals with a kind of Galerkin finite element method called partial upwindfinite element for steady convection-diffusion problem. With suitable local upwind coefficientsthe finite element solution satisfies discrete maximun principle and the superfluous amountof additional viscosity can be reduced in order to reproduce the shape of the exact solutionas sharply as possible. For one-dimensional case this method leads to the well-known ll'in'sscheme.