Shape differentiability of a solution to a fictitious domain formulation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F05%3A00012361" target="_blank" >RIV/61989100:27240/05:00012361 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Shape differentiability of a solution to a fictitious domain formulation
Original language description
The paper deals with a differentiability of the solution (u,l) to a fictitious domain formulation of Dirichlet boundary value problems with respect to shape variations. We prove that the shape derivative u' of u and the material derivative l' of l existin an appropriate sense. Finally, we derive an equation satisfied by u' and l'.
Czech name
Shape differentiability of a solution to a fictitious domain formulation
Czech description
The paper deals with a differentiability of the solution (u,l) to a fictitious domain formulation of Dirichlet boundary value problems with respect to shape variations. We prove that the shape derivative u' of u and the material derivative l' of l existin an appropriate sense. Finally, we derive an equation satisfied by u' and l'.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GP201%2F02%2FD102" target="_blank" >GP201/02/D102: Fictitious domain methods in shape optimization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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