Multigrid algorithms in divergence free space for Stokes problem

Abstract

In this paper‎, ‎We present a new prolongation operator for the divergence-free part of a P2-P1 discretization of the two dimensional Stokes problem‎. ‎Also‎, ‎the convergence of multigrid algorithm would be proved for this discretization‎. ‎Moreover‎, ‎it is shown that this prolongation operator will preserve the discrete divergence-free property‎. ‎