A variational multiscale stabilized finite element method for the Stokes flow problem

A new stabilized method is proposed for the 2-D Stokes flow problem. The new approach is based on the Variational Multiscale(VM) formulation. The Green's functions for an infinite domain are adopted to compute the two-scale interaction. The method is shown to be able to stabilized low order Finite Element intepolation pairs and has a formulation similar to the one of Galerkin/Least-squares(GLS) formulation. The stabilization term obtained in this method has a physical interpretation. A couple of numerical examples show the method has a good convergence rate.