The Generalized Maximum Angle Condition for the Q<sub>1</sub> Isoparametric Element

The Generalized Maximum Angle Condition for the Q<sub>1</sub> Isoparametric Element

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 1 : pp. 1–8

Abstract

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].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8728

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 1 : pp. 1–8

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Quadrilateral mesh $Q_{1}$ isoparametric element Generalized maximum angle condition.