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Publisher: Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V.
ISSN: 1017-1398 (Paper) 1572-9265 (Online)
DOI: 10.1023/A:1019165831641
Date:  December 2000
Pages: 357 - 369
Wavelet preconditioning of the Stokes problem in (psgr, ohgr) formulation

Pascal JolyContact Information and Roland MassonContact Information

(1) Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, tour 55-65, 5ème étage, 4 place Jussieu, F-75252 Paris Cedex 05, France
(2) Département Informatique Scientifique et Mathématiques Appliquées, Institut Français du Pétrole, F-92500 Rueil Malmaison Cedex, France

Abstract  The diagonal preconditioning in wavelet basis enables one to obtain an optimal preconditioner for Galerkin discretizations of elliptic operators in Sobolev norms of both positive and negative smoothness. We develop these techniques in order to solve efficiently the bi-Laplacian or the bidimensional Stokes problem in (psgr, ohgr) formulation using a diagonal preconditioning in wavelet basis for the H1/2(partOHgr) boundary operator that relates the trace of partnpsgr to the trace of ohgr.

psi-omega - wavelets - multilevel preconditioners - negative smoothness - elliptic operators - 42C15 - 65N55

Contact InformationPascal Joly
Email: joly@ann.jussieu.fr

Contact InformationRoland Masson
Email: roland.masson@ifp.fr

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