Shape optimization for Stokes problem with threshold slip boundary conditions
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
Abstract
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 BĀ“ezier polynomials. Numerical
examples illustrate the computational efficiency.
Description
Subject(s)
Shape optimization, Stokes problem, friction boundary condition, variational inequality, finite element method
Citation
ISSN
19371632