ESTIMATIONS OF THE CONSTANTS IN INVERSE INEQUALITIES FOR FINITE ELEMENT FUNCTIONS

In this paper, we estimate the constants in the inverse inequalities for the finite ele- ment 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 con- stants can be used as comput...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 31; no. 5; pp. 522 - 531
Main Authors Chen, Shaochun, Zhao, Jikun
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.09.2013
Subjects
估计
函数
常数
显式
最小上界
有限元法
误差界限
逆向不等式
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ISSN0254-9409
1991-7139
1991-7139
DOI10.4208/jcm.1307-m4063

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Summary:In this paper, we estimate the constants in the inverse inequalities for the finite ele- ment 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 con- stants can be used as computable error bounds for the finite element method.
Bibliography:11-2126/O1
nverse inequality, Finite element function, Bound of the constant.
In this paper, we estimate the constants in the inverse inequalities for the finite ele- ment 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 con- stants can be used as computable error bounds for the finite element method.
ISSN:0254-9409
1991-7139
1991-7139
DOI:10.4208/jcm.1307-m4063