TY - JOUR
T1 - The Generalized Maximum Angle Condition for the Q<sub>1</sub> Isoparametric Element
AU - Jun Hu & Zhong-Ci Shi
JO - Journal of Computational Mathematics
VL - 1
SP - 1
EP - 8
PY - 2006
DA - 2006/02
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8728.html
KW - Quadrilateral mesh, $Q_{1}$ isoparametric element, Generalized maximum angle condition.
AB - <p style="text-align: justify;">We consider the quadrilateral $Q$<sub>1</sub>&nbsp;isoparametric element and establish an optimal error estimate in $H$<sup>1</sup>&nbsp;norm for the interpolation operator under a weaker mesh condition which admits anisotropic quadrilaterals and allows the quadrilateral to become a regular triangle in the sense of maximum angle condition [5,11].</p>