ABSTRACT
Abstract . The effect of mesh orientation is analysed for the streamline diffusion finite element method for scalar convection-dominated convection-diffusion problems . By orienting and stretching the elements in the streamline direction , the order of point wise convergence can be increased from O(hl l /8 ) to O(h1 5/8 ) , which improves earlier results by half an order. This suggests the use of anisotropic mesh refinement along the "interior layers" in order to obtain an accurate approximation for nonsmooth inflow data.
