TY - JOUR
T1 - Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes
AU - Hans-Görg Roos
JO - Journal of Computational Mathematics
VL - 2-3
SP - 266
EP - 279
PY - 2009
DA - 2009/04
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8572.html
KW - Singular perturbations, Convection-diffusion, Finite element method, Stabilization, Layer-adapted mesh, Superconvergence, Recovery.
AB - <p style="text-align: justify;">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.</p>