On a two-level finite element method for the incompressible Navier-Stokes equations

We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions, where the finite-dimensional space(s) employed consist of piecewise polynomials enriched with residual-free bubble functions, To find the bubble part of the solution, a two-level finite element method (TLFEM) is described and its application to the Navier-Stokes equation is displayed. Numerical solutions employing the TLFEM are presented for three benchmark problems. We compare the numerical solutions using the TLFEM with the numerical solutions using a stabilized method. Copyright (C) 2001 John Wiley & Sons, Ltd.