Estimations of the Constants in Inverse Inequalities for Finite Element Functions

Estimations of the Constants in Inverse Inequalities for Finite Element Functions

Year:    2013

Journal of Computational Mathematics, Vol. 31 (2013), Iss. 5 : pp. 522–531

Abstract

In this paper, we estimate the constants in the inverse inequalities for the finite element functions. Furthermore, we obtain the least upper bounds of the constants in inverse inequalities for the low-order finite element functions. Such explicit estimates of the constants can be used as computable error bounds for the finite element method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1307-m4063

Journal of Computational Mathematics, Vol. 31 (2013), Iss. 5 : pp. 522–531

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Inverse inequality Finite element function Bound of the constant.