Mixed formulation for Stokes problem with Tresca friction

in this Note we propose and study a three field mixed formulation for solving the Stokes problem with Tresca-type nonlinear boundary conditions Two Lagrange multipliers are used to enforce div(u) = 0 constraint and to regularize the energy functional The resulting problem is discrenzed using P1 bubble/P1-P1 finite elements Optimal error estimate is derived and a numerical validation test is achieved (C) 2010 Academic des sciences Published by Elsevier Masson SAS All rights reserved