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Volume 31, Issue 5
Estimations of the Constants in Inverse Inequalities for Finite Element Functions

Shaochun Chen & Jikun Zhao

DOI: 10.4208/jcm.1307-m4063

J. Comp. Math., 31 (2013), pp. 522-531.

Published online: 2013-10

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  • 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.

  • Keywords

Inverse inequality, Finite element function, Bound of the constant.

  • AMS Subject Headings

65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-31-522, author = {Shaochun Chen and Jikun Zhao}, title = {Estimations of the Constants in Inverse Inequalities for Finite Element Functions}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1307-m4063}, url = {http://global-sci.org/intro/article_detail/jcm/9751.html} }
TY - JOUR T1 - Estimations of the Constants in Inverse Inequalities for Finite Element Functions AU - Shaochun Chen & Jikun Zhao JO - Journal of Computational Mathematics VL - 5 SP - 522 EP - 531 PY - 2013 DA - 2013/10 SN - 31 DO - http://doi.org/10.4208/jcm.1307-m4063 UR - https://global-sci.org/intro/article_detail/jcm/9751.html KW - Inverse inequality, Finite element function, Bound of the constant. AB -

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.

Shaochun Chen and Jikun Zhao. (2013). Estimations of the Constants in Inverse Inequalities for Finite Element Functions. Journal of Computational Mathematics. 31 (5). 522-531. doi:10.4208/jcm.1307-m4063
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