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   -> Volume 2, Issue 19


New paper available
 
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rieder@cml.rice.edu (Andreas Rieder)
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PostPosted: Fri Nov 29, 2002 3:42 pm    
Subject: New paper available
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New paper available

The following preprint is available:

ON THE ROBUSTNESS OF THE DAMPED V-CYCLE OF THE
WAVELET FREQUENCY DECOMPOSITION MULTIGRID METHOD

Andreas Rieder und Xiaodong Zhou

Abstract:
The V-cycle of the wavelet variation of the "Frequency decomposition
multigrid method" of Hackbusch [Numer. Math., 56, pp. 229-245, 1989]
is considered.
It is shown that its convergence speed is not affected by the presence
of anisotropy provided that the corresponding coarse grid correction
is damped sufficiently strong. Our analysis is based on properties of
wavelet packets which are supplied and proved.
Numerical approximations to the speed of convergence illustrate
the theoretical results.

Key words: wavelets, wavelet packets, robust multilevel methods,
V-cycle

Subject classification: AMS(MOS) 65F10, 65N30

Technical Report of the Computational Mathematics Laboratory,
No. CML TR93-10, Rice University, Houston, 1993

A compressed postscript copy of this report is available from
the ftp site cml.rice.edu (128.42.62.23). The file is pub/reports/9310.ps.Z.
(login: anonymous, password: your email-address)

Andreas Rieder, Computational Mathematics Laboratory, Rice University,
Houston, Texas 77251, USA
email: rieder@cml.rice.edu
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