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   -> Volume 4, Issue 9


Preprint: Wavelet-Galerkin Method for the Stokes Equations
 
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Angela Kunoth (kunoth@isc.tamu.edu)
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PostPosted: Fri Dec 06, 2002 9:33 am    
Subject: Preprint: Wavelet-Galerkin Method for the Stokes Equations
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Preprint: Wavelet-Galerkin Method for the Stokes Equations

Wavelet-Galerkin Method for the Stokes Equations

Wolfgang Dahmen, Angela Kunoth and Karsten Urban

August 17, 1995 - Revised version
(To appear in Computing)

The purpose of this paper is to investigate Galerkin schemes for the
Stokes equations based on a suitably adapted multiresolution analysis.
In particular, it will be shown that techniques developed in
connection with shift-invariant refinable spaces give rise to trial
spaces of any desired degree of accuracy satisfying the Ladyshenskaja-
Babushka-Brezzi condition for any spatial dimension.
Moreover, in the time dependent case efficient preconditioners for
the Schur complements of the discrete systems of equations can be
based on corresponding stable multiscale decompositions.
The results are illustrated by some concrete examples of adapted
wavelets and corresponding numerical experiments in two and three
dimensions.

The report can be obtained at the web sites

http://www.isc.tamu.edu/~kunoth/angela.html
ftp://ftp.igpm.rwth-aachen.de/arc/pub/gopherd/reports.html

or by anonymous ftp at

ftp.igpm.rwth-aachen.de
directory: reports
file : igpm_111r_f.ps.Z (ps-file with pictures, 2.3 MB)
igpm_111r.ps.Z (ps-file without pictures)
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