by Matthies, G., Skrzypacz, P., Tobiska, L..
Series: 2007-44, Preprints
We present the analysis for the local projection stabilisation applied to convection-diffusion-reaction problems with mixed boundary conditions. We concentrate on the enrichment approach of the local projection methods. Optimal a-priori error estimates will be proved. Numerical tests confirm the theoretical convergence results. Moreover, the local projection stabilisation leads to numerical schemes which work well for problems with several types of layers. Away from
layers, the solution is captured very well.
stabilised finite elements, convection-diffusion