TY - JOUR
T1 - Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element III: The Effect of Numerical Integration
AU - Ming , Ping-Bing
AU - Shi , Zhong-Ci
JO - Journal of Computational Mathematics
VL - 3
SP - 287
EP - 294
PY - 2003
DA - 2003/06
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8880.html
KW - Quadrilateral rotated $Q_1$ element, Numerical quadrature.
AB - <p style="text-align: justify;">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.</p>