@Article{JCM-23-561,
author = {Jun Hu and Zhong-Ci Shi},
title = {Constrained Quadrilateral Nonconforming Rotated $Q_1$ Element},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {6},
pages = {561--586},
abstract = {<p style="text-align: justify;">In this paper, we define a new nonconforming quadrilateral finite element based on the nonconforming rotated $Q$<sub>1</sub>&nbsp;element by enforcing a constraint on each element, which has only three degrees of freedom. We investigate the consistency, approximation, superclose property, discrete Green&#39;s function and superconvergence of this element. Moreover, we propose a new postprocessing technique and apply it to this element. It is proved that the postprocessed discrete solution is superconvergent under a mild assumption on the mesh.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8839.html}
}