CONVERGENCE ANALYSES OF GALERKIN LEAST-SQUARES METHODS FOR SYMMETRICAL ADVECTIVE DIFFUSIVE FORMS OF THE STOKES AND INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations are presented. The Galerkin least-squares method for advective-diffusive equations is used for both systems and is related to other stabilized methods previously studied. The presentation reveals that the convergence analysis for advective-diffusive equations, as applied before to a linearized form of the compressible Navier-Stokes equations, carries over in a straightforward manner to the Stokes problem and to a linearized form of the incompressible Navier-Stokes equations.