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Shape optimization for Stokes problem with threshold slip boundary conditions

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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 S
Authors
Haslinger, Jaroslav |
Mäkinen, Raino |
Stebel, Jan
Date
2017
Discipline
TietotekniikkaMathematical Information Technology
Copyright
© 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 Sciences
ISSN Search the Publication Forum
1937-1632
Keywords
form (structural) shape optimization Stokes problem friction boundary condition variational inequality matematiikka kitka elementtimenetelmä
DOI
https://doi.org/10.3934/dcdss.2017069
URI

http://urn.fi/URN:NBN:fi:jyu-201706202991

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/27080707

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  • Informaatioteknologian tiedekunta [1859]

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