TY - JOUR T1 - The Generalized Maximum Angle Condition for the Q1 Isoparametric Element 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 -

We consider the quadrilateral $Q$1 isoparametric element and establish an optimal error estimate in $H$1 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].