The Wavelet Digest Homepage
Return to the homepage
Search the complete Wavelet Digest database
Help about the Wavelet Digest mailing list
About the Wavelet Digest
The Digest The Community
 Latest Issue  Back Issues  Events  Gallery
The Wavelet Digest
   -> Volume 6, Issue 7

Preprint: Preprint by Canuto, Tabacco and Urban
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
Karsten Urban (

PostPosted: Mon Jun 16, 1997 5:14 pm    
Subject: Preprint: Preprint by Canuto, Tabacco and Urban
Reply with quote

#1 Preprint: Preprint by Canuto, Tabacco and Urban

The following preprint is available

"The Wavelet Element Method, Part I: Construction and Analysis"
Claudio Canuto, Anita Tabacco and Karsten Urban

under the following sites:

By anonymous ftp:

site :
directory: pub/urban/reports
filename : (compressed PostScript file)

By netscape/Mosaic:


The Wavelet Element Method (WEM) combines biorthogonal wavelet systems
with the philosophy of Spectral Element Methods in order to obtain a
biorthogonal wavelet system on fairly general bounded domains in some
$er^n$. The domain of interest is split into subdomains which are
mapped to a simple reference domain, here $n$--dimensional cubes.
Thus, one has to construct appropriate biorthogonal wavelets on the
reference domain such that mapping them to each subdomain and matching
along the interfaces leads to a wavelet system on the domain.

In this paper we use adapted biorthogonal wavelet systems on the
interval in such a way, that tensor products of these functions can be
used for the construction of wavelet bases on the reference domain. We
describe the matching procedure in any dimension $n$ in order to
impose continuity and prove that it leads to a construction of a
biorthogonal wavelet system on the domain. These wavelet systems
characterize Sobolev spaces measuring both piecewise and global
regularity. The construction is detailed for a bivariate example and
an application to the numerical solution of second order partial
differential equations is given.
All times are GMT + 1 Hour
Page 1 of 1

Jump to: 

disclaimer -
Powered by phpBB

This page was created in 0.024749 seconds : 18 queries executed : GZIP compression disabled