TY - JOUR T1 - An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation JF - SIAM Journal on Numerical Analysis Y1 - 2003 A1 - Elman, Howard A1 - Alison Ramage AB - Using a technique for constructing analytic expressions for discrete solutions to the convection-diffusion equation, we examine and characterize the effects of upwinding strategies on solution quality. In particular, for grid-aligned flow and discretization based on bilinear finite elements with streamline upwinding, we show precisely how the amount of upwinding included in the discrete operator affects solution oscillations and accuracy when different types of boundary layers are present. This analysis provides a basis for choosing a streamline upwinding parameter which also gives accurate solutions for problems with non-grid-aligned and variable speed flows. In addition, we show that the same analytic techniques provide insight into other discretizations, such as a finite difference method that incorporates streamline diffusion and the isotropic artificial diffusion method. VL - 40 SN - 0036-1429 UR - http://www.jstor.org/stable/4100953 CP - 1 ER -