Error estimates for Stokes problem with Tresca friction condition
Provides theoretical error bounds for a specific finite element discretization of a nonlinear Stokes problem, which is an incremental contribution to computational fluid dynamics.
The authors propose a three-field mixed formulation for the Stokes problem with Tresca friction, discretized with P1 bubble/P1-P1 elements, and derive error estimates supported by numerical experiments.
In this work we propose and study a three field mixed formulation for solving the Stokes problem with Tresca-type non-linear boundary conditions. Two Lagrange multipliers are used to enforce div(u)=0 constraint and to regularize the energy functional. The resulting problem is discretised using "P1 bubble/P1-P1" finite elements. Error estimates are derived and several numerical studies are achieved.