TY - JOUR
T1 - Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality
AU - Ming , Ping-Bing
AU - Shi , Zhong-Ci
JO - Journal of Computational Mathematics
VL - 3
SP - 277
EP - 286
PY - 2003
DA - 2003/06
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8879.html
KW - Quadrilateral rotated $Q_1$ element, Poincarè inequality, Trace inequality.
AB - <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>