On interpolatory divergence-free wavelets

Kai Bittner, Karsten Urban

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)903-929
Number of pages27
JournalMathematics of Computation
Volume76
Issue number258
DOIs
Publication statusPublished - Apr 2007
Externally publishedYes

Keywords

  • Divergence-free vector fields
  • Interpolatory wavelets

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