Error estimates for some quasi-interpolation operators

Authors
Verfurth, R
Citation
R. Verfurth, Error estimates for some quasi-interpolation operators, RAIRO-M MOD, 33(4), 1999, pp. 695-713
Citations number
11
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
4
Year of publication
1999
Pages
695 - 713
Database
ISI
SICI code
0764-583X(199907/08)33:4<695:EEFSQO>2.0.ZU;2-3
Abstract
We derive explicit bounds on the constants in error estimates for two quasi -interpolation operators which are modifications of the "classical" Clement -operator. These estimates are crucial for making explicit the constants wh ich appear in popular a posteriori error estimates. They are also compared with corresponding estimates for the standard nodal interpolation operator.