Analysis of the SDFEM for convection-diffusion problems with characteristic layers

摘要

In this paper we analyze the streamline diffusion finite element method (SDFEM) for problems with characteristic layers. We analyze local estimates in the ε-energy norm and compare numerical performances of the SDFEM when we use different stabilization parameters in characteristic layers. Numerical experiments support our theoretical results and show the differences of the computed solutions with different stabilization parameters.