@Article{JCM-21-277, author = {Ming , Ping-Bing and Shi , Zhong-Ci}, 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8879.html} }