A LOCAL POSTPROCESSING OF MIXED FEM FOR STOKES PROBLEM WITH VARIABLE VISCOSITY

Abstract

This project is devoted for studying the mixed finite element method for two-dimensional Stokes problems using the stress-velocity formulation. The stress-velocity-pressure formulation is the physical model for incompressible Newtonian flows modeled by the conservation of momentum and the constitutive law. The use of the deviatoric stress tensor Aσ leads to the stress velocity formulation for the Stokes problem. we used a fesible symmetric Arnold– Winther MFEM that was proposed for elasticity problem for discretization of domain. After it with the use of a priori results we presented the a better approximation for the velocity by local postprocessing . With it we get a error estimate for the velocity .