@Article{JCM-21-3,
author = {Ping-Bing, Ming and Zhong-Ci, Shi},
title = {Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {3},
pages = {277--286},
abstract = {<p style="text-align: justify;">This is the second part of the paper for the mathematical study of nonconforming rotated $Q_1$ element (NR$Q_1$ hereafter) on arbitrary quadrilateral meshes. Some Poincarè Inequalities are proved without assuming the quasi-uniformity of the mesh subdivision. A discrete trace inequality is also proved.</p>},
issn = {1991-7139},
doi = {https://doi.org/2003-JCM-8879},
url = {https://global-sci.com/article/85314/mathematical-analysis-for-quadrilateral-rotated-q-1-element-ii-poincare-inequality-and-trace-inequality}
}