Convergent Adaptive Wavelet Methods for the Stokes Problem

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We consider wavelet discretizations for the Stokes problem in the mixed and divergence free variational formulation. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation we provide an easy to implement criterion for enforcing stability.
Original languageEnglish
Title of host publicationMultigrid Methods VI : Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27-30, 1999
EditorsEric Dick, K. Riemslagh, J. Vierendeels
Number of pages7
Place of PublicationBerlin
Publication date01.01.2000
ISBN (Print)3-540-67157-9, 978-3540-67157-2
ISBN (Electronic)978-3-642-58312-4
Publication statusPublished - 01.01.2000
Externally publishedYes
EventEuropean Multigrid Conference 1999 - Gent, Belgium
Duration: 27.09.199930.09.1999
Conference number: 6

Bibliographical note

The work of the first two authors has been supported by Deutsche Forschungs-gemeinschaft (DFG) under Grants Da 117/13–1 and Ho 1846/1–1, respectively. Moreover, this work was supported by the European Commission within the TMR project (Training and Mobility for Researchers) Wavelets and Multiscale Methods in Numerical Analysis and Simulation, No. ERB FMRX CT98 018T4. This paper was written when the third author was in residence at the Istituto di Analisi Numerica del C.N.R. in Pavia, Italy.

    Research areas

  • Mathematics - Mixed Formulation, Stokes Problem, Multiscale Method, Saddle Point Problem, Adaptive Wavelet