@Article{JCM-22-6,
author = {Zhu, Qiding and Meng, Lingxiong},
title = {The Derivative Ultraconvergence for Quadratic Triangular Finite Elements},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {6},
pages = {857--864},
abstract = {<p style="text-align: justify;">This work concerns the ultraconvergence of quadratic finite element approximations of elliptic boundary value problems. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence. The keys in the proof are the asymptotic expansion of the bilinear form for the interpolation error and a &quot;localized&quot; symmetry argument. Numerical results are presented to confirm the analysis.</p>},
issn = {1991-7139},
doi = {https://doi.org/2004-JCM-10289},
url = {https://global-sci.com/article/85269/the-derivative-ultraconvergence-for-quadratic-triangular-finite-elements}
}