Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems
Numerical Analysis
2023-03-06 v2 Numerical Analysis
Abstract
Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gau{\ss}-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.
Cite
@article{arxiv.1304.7443,
title = {Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems},
author = {Sebastian Franz},
journal= {arXiv preprint arXiv:1304.7443},
year = {2023}
}
Comments
corrected version, 18 pages