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. https://doi.org/10.3934/dcdss.2017069
Published in
Discrete and Continuous Dynamical Systems: Series SDate
2017Copyright
© 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.
Publisher
The American Institute of Mathematical SciencesISSN Search the Publication Forum
1937-1632Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/27080707
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
The parameter identification in the Stokes system with threshold slip boundary conditions
Haslinger, Jaroslav; Mäkinen, Raino A. E. (Wiley-VCH Verlag, 2020)The paper is devoted to an identification of the slip bound function g in the Stokes system with threshold slip boundary conditions assuming that g depends on the tangential velocity 𝑢𝜏 . To this end the optimal control ... -
On optimal shape design of systems governed by mixed Dirichlet-Signorini boundary value problems
Haslinger, J.; Neittaanmäki, Pekka (University of Jyväskylä, 1983) -
A two-phase problem with Robin conditions on the free boundary
Guarino Lo Bianco, Serena; La Manna, Domenico Angelo; Velichkov, Bozhidar (Les Éditions de l'École polytechnique, 2021)We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an ... -
On some partial data Calderón type problems with mixed boundary conditions
Covi, Giovanni; Rüland, Angkana (Elsevier, 2021)In this article we consider the simultaneous recovery of bulk and boundary potentials in (degenerate) elliptic equations modelling (degenerate) conducting media with inaccessible boundaries. This connects local and nonlocal ... -
Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
Neittaanmäki, Pekka; Pennanen, Anssi; Tiba, Dan (IOP Publishing, 2009)Fixed domain methods have well-known advantages in the solution of variable domain problems including inverse interface problems. This paper examines two new control approaches to optimal design problems governed by general ...