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Error estimates for somequasi-interpolation operators

Published online by Cambridge University Press:  15 August 2002

Rüdiger Verfürth
Rüdiger Verfürth*
Affiliation:
Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany. rv@silly.num1.ruhr-uni-bochum.de.
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Abstract

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.

Keywords

Interpolation error estimates; quasi-interpolation operators.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 4 , July 1999 , pp. 695 - 713
Copyright
© EDP Sciences, SMAI, 1999

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