@Article{JCM-28-11,
author = {Long Chen and Hengguang Li},
title = {Superconvergence of Gradient Recovery Schemes on Graded Meshes for Corner Singularities},
journal = {Journal of Computational Mathematics},
year = {2010},
volume = {28},
number = {1},
pages = {11--31},
abstract = {<p style="text-align: justify;">For the linear finite element solution to the Poisson equation, we show that superconvergence exists for a type of graded meshes for corner singularities in polygonal domains. In particular, we prove that the $L^2$-projection from the piecewise constant field $∇u_N$ to the continuous and piecewise linear finite element space gives a better approximation of $∇u$ in the $H^1$-norm. In contrast to the existing superconvergence results, we do not assume high regularity of the exact solution.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.09-m1002},
url = {http://global-sci.org/intro/article_detail/jcm/8504.html}
}