Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes
The authors consider a singularly perturbed convection-diffusion equation on the unit square where the solution of the problem exhibits exponential bounday layers. They prove both, the boundeness of the error between the solution of the established discrete problem and an interpolant of the solution of the continuous one, and an estimate, in the global energy norm, of the error between the solution of the stabilised discrete problem and the solution of the continuous one.
scientific article; zbMATH DE number 5550552