On interpolatory divergence-free wavelets |
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Authors: | Kai Bittner Karsten Urban. |
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Affiliation: | University of Ulm, Institute for Numerical Mathematics, Helmholtzstr. 18, D-89069 Ulm, Germany ; University of Ulm, Institute for Numerical Mathematics, Helmholtzstr. 18, D-89069 Ulm, Germany |
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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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Keywords: | Interpolatory wavelets divergence-free vector fields |
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