@Article{JCM-28-32,
author = {Franz , SebastianLinß , TorstenRoos , Hans-Görg and Schiller , Sebastian},
title = {Uniform Superconvergence of a Finite Element Method with Edge Stabilization for Convection-Diffusion Problems},
journal = {Journal of Computational Mathematics},
year = {2010},
volume = {28},
number = {1},
pages = {32--44},
abstract = {<p style="text-align: justify;">In the present paper the edge stabilization technique is applied to a convection-diffusion problem with exponential boundary layers on the unit square, using a Shishkin mesh with bilinear finite elements in the layer regions and linear elements on the coarse part of the mesh. An error bound is proved for ${||πu−u^h||}_E$ where $πu$ is some interpolant of the solution $u$ and $u^h$ the discrete solution. This supercloseness result implies an optimal error estimate with respect to the $L_2$&nbsp;norm and opens the door to the application of postprocessing for improving the discrete solution.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.09-m1005},
url = {http://global-sci.org/intro/article_detail/jcm/8505.html}
}