Shape optimization for the Stokes system with threshold leak boundary conditions

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Shape optimization for the Stokes system with threshold leak boundary conditions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Shape optimization for the Stokes system with threshold leak boundary conditions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and computers in simulation

ISSN

0378-4754

e-ISSN

1872-7166

Svazek periodika

221

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

180-196

Kód UT WoS článku

001202486500001

EID výsledku v databázi Scopus

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