Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes
Keywords:
Singular perturbations, Convection-diffusion, Finite element method, Stabilization, Layer-adapted mesh, Superconvergence, Recovery.Abstract
The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.