Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers

In this paper, we present a pointwise convergence analysis for a streamline diffusion finite element method (SDFEM) on a Shishkin triangular mesh. We prove that the method is uniformly convergent with a pointwise accuracy of order almost 7/4 (up to a logarithmic factor) away from the subdomain where the layers intersect. Finally, numerical experiments support our theoretical results.