Shape optimization for the Stokes system with threshold leak boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F24%3A10255740" target="_blank" >RIV/61989100:27230/24:10255740 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475424000739" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475424000739</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2024.03.002" target="_blank" >10.1016/j.matcom.2024.03.002</a>

Result language
angličtina
Original language name
Shape optimization for the Stokes system with threshold leak boundary conditions
Original language description
This paper discusses the process of optimizing the shape of systems that are controlled by the Stokes flow with threshold leak boundary conditions. In the theoretical part it focuses on studying the stability of solutions to the state problem in relation to a specific set of domains. In order to facilitate computation, the slip term and impermeability condition are regulated. In the computational part, the optimized portion of the boundary is defined using Bezier polynomials, in order to create a finite dimensional optimization problem. The paper also includes numerical examples to demonstrate the computational efficiency of this approach.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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