The semi-smooth Newton method for solving the Stokes flow with Coulomb slip boundary conditions

Abstract

This contribution deals with the numerical realization of the Stokes system involving the local Coulomb slip boundary conditions. The algebraic formulation arising from a finite element approximation leads to a non-smooth system of algebraic equations which is solved by the semi-smooth Newton method using the active/inactive set strategy.

Results of a model example are presented.

Keywords

• Semi-smooth Newton method
• Stokes flow
• Coulomb slip boundary conditions