A supercloseness result for the discontinuous Galerkin stabilization of convection–diffusion problems on Shishkin meshes

A Uniformly Convergent Galerkin Method o

A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem

✍ Martin Stynes; Eugene O'Riordan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 240 KB

A Galerkin finite element method that uses piecewise bilinears on a simple piecewise equidistant mesh is applied to a linear convection-dominated convection-diffusion problem in two dimensions. The method is shown to be convergent, uniformly in the perturbation parameter, of order N y1 ln N in a glo