Error estimates for somequasi-interpolation operators

Rüdiger Verfürth

doi:10.1051/m2an:1999158

Abstract

We derive explicit bounds on the constantsin error estimates for two quasi-interpolation operators which aremodifications of the “classical” Clément-operator.These estimates are crucial for making explicit theconstants which appear in popular a posteriori errorestimates. They are also compared with correspondingestimates for the standard nodal interpolation operator.

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Error estimates for somequasi-interpolation operators

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