Issue |
ESAIM: M2AN
Volume 33, Number 4, July August 1999
|
|
---|---|---|
Page(s) | 695 - 713 | |
DOI | https://doi.org/10.1051/m2an:1999158 | |
Published online | 15 August 2002 |
Error estimates for some quasi-interpolation operators
Fakultät für Mathematik,
Ruhr-Universität Bochum, 44780 Bochum, Germany.
rv@silly.num1.ruhr-uni-bochum.de.
Received:
29
October
1997
We derive explicit bounds on the constants in error estimates for two quasi-interpolation operators which are modifications of the “classical” Clément-operator. These estimates are crucial for making explicit the constants which appear in popular a posteriori error estimates. They are also compared with corresponding estimates for the standard nodal interpolation operator.
Résumé
Pour deux opérateurs d'interpolation de type Clément on donne des bornes explicites sur les constantes dans les estimations d'erreur d'interpolation. Leur valeurs sont importantes pour le calcul des constantes dans les estimations d'erreur a posteriori. Elles sont comparées aux estimations correspondantes pour l'opérateur d'interpolation Lagrangien aux nœuds.
Mathematics Subject Classification: 65N30 / 65N15 / 65J15
Key words: Interpolation error estimates; quasi-interpolation operators.
© EDP Sciences, SMAI, 1999
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