Shape optimization for Stokes problem with threshold slip boundary conditions
Haslinger, J., Mäkinen, R., & Stebel, J. (2017). Shape optimization for Stokes problem with threshold slip boundary conditions. Discrete and Continuous Dynamical Systems: Series S, 10 (6), 1281-1301. doi:10.3934/dcdss.2017069
Published inDiscrete and Continuous Dynamical Systems: Series S
© The American Institute of Mathematical Sciences, 2017. This is a final draft version of an article whose final and definitive form has been published by AIMS. Published in this repository with the kind permission of the publisher.
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 B´ezier polynomials. Numerical examples illustrate the computational efficiency.