مشخصات پژوهش

عنوان	On solving operator equations by Galerkin’s method with Gabor frame
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Gabor frame, operator equation, compressed matrix
چکیده	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 resulting from 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.
پژوهشگران	فاطمه زرمهی (نفر دوم)، علی توکلی (نفر اول)