On interpolatory divergence-free wavelets

Bittner, Kai; Urban, Karsten

doi:10.1090/S0025-5718-06-01949-1

On interpolatory divergence-free wavelets
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by Kai Bittner and Karsten Urban;

Math. Comp. 76 (2007), 903-929

DOI: https://doi.org/10.1090/S0025-5718-06-01949-1

Published electronically: December 28, 2006

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Abstract:

We construct interpolating divergence-free multiwavelets based on cubic Hermite splines. We give characterizations of the relevant function spaces and indicate their use for analyzing experimental data of incompressible flow fields. We also show that the standard interpolatory wavelets, based on the Deslauriers-Dubuc interpolatory scheme or on interpolatory splines, cannot be used to construct compactly supported divergence-free interpolatory wavelets.

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