A TERM BY TERM STABILIZATION ALGORITHM FOR FINITE-ELEMENT SOLUTION OFINCOMPRESSIBLE-FLOW PROBLEMS

This paper introduces a stabilization technique for Finite Element num erical solution of 2D and 3D incompressible flow problems. It may be a pplied to stabilize the discretization of the pressure gradient, and a lso of any individual operator term such as the convection, curl or di vergence operators, with specific levels of numerical diffusion for ea ch one of them. Its computational complexity is reduced with respect t o usual (residual-based) stabilization techniques. We consider piecewi se affine Finite Elements, for which we obtain optimal error bounds fo r steady Navier-Stokes and also for generalized Stokes equations (incl uding convection). We include some numerical experiment in well known 2D test cases, that show its good performances.