@Article{NMTMA-7-356,
author = {Sebastian Franz and H.-G. Roos},
title = {Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {3},
pages = {356--373},
abstract = {<p style="text-align: justify;">In this paper we present a first supercloseness analysis for higher-order
Galerkin FEM applied to a singularly perturbed convection-diffusion problem. Using
a solution decomposition and a special representation of our finite element space,
we are able to prove a supercloseness property of $p + 1/4$ in the energy norm where
the polynomial order $p ≥ 3$ is odd.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.1320nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5879.html}
}