Harmonic wavelet solution of Poisson’s problem. (English) Zbl 1172.35309
Summary: The multiscale (wavelet) decomposition of the solution is proposed for the analysis of the Poisson problem. The approximate solution is computed with respect to a finite dimensional wavelet space by using the Galerkin method. A fundamental role is played by the connection coefficients expressed by some hypergeometric series. The solution of the Poisson problem is compared with the approach based on Daubechies wavelets.