Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F19%3A10241479" target="_blank" >RIV/61989100:27240/19:10241479 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/19:10241479
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0898122119300835" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0898122119300835</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2019.02.015" target="_blank" >10.1016/j.camwa.2019.02.015</a>

Result language
angličtina
Original language name
Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems
Original language description
In the paper we consider a treatment of Bernoulli type shape optimization problems in three dimensions by the combination of the boundary element method and the hierarchical algorithm based on the subdivision surfaces. After proving the existence of the solution on the continuous level we discretize the free part of the surface by a hierarchy of control meshes allowing to separate the mesh necessary for the numerical analysis and the choice of design parameters. During the optimization procedure the mesh is updated starting from its coarse representation and refined by adding design variables on finer levels. This approach serves as a globalization strategy and prevents geometry oscillations without any need for remeshing. We present numerical experiments demonstrating the capabilities of the proposed algorithm.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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