Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems
arXiv:1304.7443 · doi:10.1016/j.apnum.2013.07.007
Abstract
Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gauß-Lobatto type for higher-order streamline diffusion FEM. We show a useful connection between two different types of interpolation, namely a vertex-edge-cell interpolant and a pointwise interpolant. Moreover, different postprocessing operators are analysed and applied to model problems.
corrected version, 18 pages