Corner singularities and boundary layers in a simple convection–diffusion problem☆

By R. B. Kellogg, Martin Stynes. 2005

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Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers (2008, background): “The SDFEM was studied by Stynes and Tobiska [18] who derived uniform superconvergence in the streamline-diffusion norm of almost second order.”
Shishkin meshes in the numerical solution of singularly perturbed differential equations (2010, unknown): “4], [74] (see also [82, Chapter IV] and [40] for pointwise estimates of solution derivatives).”
Recent progresses in boundary layer theory (2015, background): “[53] and in the references therein the issue of boundary layers for hyperbolic equations; the issue already mentioned of the numerical approximation of singularly perturbed problems, in particular in the context of enriched spaces [18, 19, 60, 61, 62, 64, 65, 66, 67, 71, 74, 76, 85, 104, 105, 106, 1”