Semi-smooth Newton method for solving the Stokes equations with monotonously increasing slip condition

Abstract

The paper deals with the Stokes flow with the monotonously inscreasing slip condition. Using the P1-bubble/P1 finite element approximation we arrive at an algebraic variational inequality, which is equivalent to a certain minimization problem whose optimality conditions are the starting point for the algorithm. Semi-smooth Newton method implementation of the algorithm is based on active/inactive sets. Algorithm is tested in MATLAB environment. Experiments are done on square and "L-shaped" domain, where we study the effects of the adhesive coefficient on the efficiency of calculations.