Wavelet bases in H(div) and H(curl)

  title={Wavelet bases in H(div) and H(curl)},
  author={Karsten Urban},
  journal={Math. Comput.},
Some years ago, compactly supported divergence-free wavelets were constructed which also gave rise to a stable (biorthogonal) wavelet splitting of H(div; Ω). These bases have successfully been used both in the analysis and numerical treatment of the Stokes and Navier–Stokes equations. In this paper, we construct stable wavelet bases for the stream function spaces H(curl; Ω). Moreover, curl-free vector wavelets are constructed and analysed. The relationship between H(div; Ω) and H(curl; Ω) are… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 34 extracted citations


Publications referenced by this paper.
Showing 1-10 of 31 references

Multiskalenverfahren für das Stokes-Problem und angepaßte Wavelet-Basen (in german)

  • K. Urban
  • PhD thesis, Verlag der Augustinus-Buchhandlung…
  • 1995
Highly Influential
7 Excerpts

Analyses multi-résolutions non orthogonales

  • P. G. Lemarié-Rieusset
  • commutation entre projecteurs et derivation et…
  • 1992
Highly Influential
8 Excerpts

Computational Electromagnetism

  • A. Bossavit
  • Academic Press, San Diego
  • 1998
2 Excerpts

The Multilevel Library: Software Tools for Multiscale Methods and Wavelets

  • A. Barinka, T. Barsch, K. Urban, J. Vorloeper
  • Version 1.0, Documentation, RWTH Aachen, IGPM…
  • 1998
1 Excerpt

Similar Papers

Loading similar papers…