%0 Journal Article
%T On solving operator equations by Galerkin's method with Gabor frame
%A Tavakoli
%A Ali
%A Zarmehi
%A Fatemeh
%J -
%D 2018
%X Sa£¿etak This paper deals with solving boundary value problems by Galerkin's method in which we use Gabor frames as trial and test functions£¿. £¿We show that£¿, £¿the preconditioned stiffness matrix resulted by discretization is compressible and its sparsity£¿ £¿pattern involves a bounded polyhedron structure£¿. £¿Moreover£¿, £¿we introduce an adaptive Richardson iterative method to£¿ £¿solve the resulting system and we also show that by choosing a suitable smoothing parameter£¿, £¿the method would be convergent£¿
%K Gabor frame
%K Operator equation
%K Compressed matrix
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=292565