The multiscale (wavelet) decomposition of the solution is proposed for the analysis of the Poisson problem. The approximate so- lution is computed with respect to a ¯nite dimensional wavelet space [4, 5, 7, 8, 16, 15] by using the Galerkin method. A fundamental role is played by the connection coe±cients [2, 7, 11, 9, 14, 17, 18], expressed by some hypergeometric series. The solution of the Poisson problem is compared with the approach based on Daubechies wavelets [18].
Harmonic Wavelet Solution ofPoisson's Problem
CATTANI, Carlo
2008-01-01
Abstract
The multiscale (wavelet) decomposition of the solution is proposed for the analysis of the Poisson problem. The approximate so- lution is computed with respect to a ¯nite dimensional wavelet space [4, 5, 7, 8, 16, 15] by using the Galerkin method. A fundamental role is played by the connection coe±cients [2, 7, 11, 9, 14, 17, 18], expressed by some hypergeometric series. The solution of the Poisson problem is compared with the approach based on Daubechies wavelets [18].File in questo prodotto:
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