The semi-smooth Newton method for solving the Stokes flow under the leak boundary condition

Abstrakt

The article deals with the Stokes flow under the leak boundary conditions. The problem is discretized using the mixed finite element approximation and solved as algebraic optimization problem.

The respective optimality conditions are the starting point for the algorithm based on an active set implementation of the semi-smooth Newton method. Numerical experiments compare performance of the algorithm with the path-following interior point method.

Klíčová slova

• Semi-smooth Newton method
• Stokes flow
• leak boundary condition