Messanae Universitas Studiorum

Harmonic wavelet solution of Poisson's problem with a localized source

Cattani, Carlo (2008) Harmonic wavelet solution of Poisson's problem with a localized source. Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze MM.FF.NN., LXXXVI (2). ISSN 1825-1242

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Abstract

A method, based on a multiscale (wavelet) decomposition of the solution is proposed for the analysis of the Poisson problem. The solution is approximated by a finite series expansion of harmonic wavelets and is based on the computation of the connection coefficients. It is shown, how a sourceless Poisson's problem, solved with the Daubechies wavelets, can also be solved in presence of a localized source in the harmonic wavelet basis.

Item Type: Article
Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 26 Nov 2009
Last Modified: 13 Apr 2010 11:14
URI: http://cab.unime.it/mus/id/eprint/540

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