@Article{JCM-21-287, author = {Ming , Ping-Bing and Shi , Zhong-Ci}, title = {Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element III: The Effect of Numerical Integration}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {3}, pages = {287--294}, abstract = {

This is the third part of the paper for the rotated $Q_1$ nonconforming element on quadrilateral meshes for general second order elliptic problems. Some optimal numerical formulas are presented and analyzed. The novelty is that it includes a formula with only two sampling points which excludes even a $Q_1$ unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh with least sampling points up to now.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8880.html} }