Shape optimization for Stokes problem with threshold slip boundary conditions
Jaroslav Haslinger, Raino A. E. Mäkinen, Jan Stebel · Discrete and Continuous Dynamical Systems - S · 2017
This paper deals with shape optimization of systems governed by the Stokes flow with threshold slip boundary conditions. The stability of solutions to the state problem with respect to a class of domains is studied. For computational purposes the slip term and impermeability condition are handled by a regularization. To get a finite dimensional optimization problem, the optimized part of the boundary is described by Bézier polynomials. Numerical examples illustrate the computational efficiency.