H-1 least-squares method for the velocity-pressure-stress formulation of Stokes equations

This paper studies the discrete H-1-norm least-squares method for the incompressible Stokes equations based on the velocity-pressure-stress formulation by the least-squares functional defined as the sum of L-2-norms and H-1-norm of the residual equations. Some computational experiments by multigrid method and preconditioning conjugate gradient method (PCGM) on this method are shown by taking efficient alpha and beta in the discrete solution operator T-h = alphah(2)I + betaB(h) corresponding to the minus one norm. We also propose a new method and compare it with PCGM and multigrid method through the analysis of numerical experiments depending on the choice of (C) 2001 Published by Elsevier Science B.V. on behalf of IMACS.