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Shape differentiability of a solution to a fictitious domain formulation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F06%3A00013761" target="_blank" >RIV/61989100:27240/06:00013761 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Shape differentiability of a solution to a fictitious domain formulation

  • Original language description

    This paper deals with 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 exist in an appropriate sense. Finally, we derive an equation satisfied by u' and l'.

  • Czech name

    Tvarová diferencovatelnost řešení fiktivně oblastní formulace

  • Czech description

    Tento článek pojednává o diferencovatelnosti řešení (u,l) fiktivně oblastní formulace Dirichletovy okrajové úlohy vzhledem ke změně tvaru. Dokazujeme, že tvarová derivace u' první komponenty řešení u a materiálová derivace l' druhé komponenty řešení l existuje v příslušném smyslu. Závěrem odvozujeme rovnici pro u' a l'.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1ET400300415" target="_blank" >1ET400300415: Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in Mathematical Sciences and Applications

  • ISSN

    1343-4373

  • e-ISSN

  • Volume of the periodical

    16

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    JP - JAPAN

  • Number of pages

    15

  • Pages from-to

    95-109

  • UT code for WoS article

  • EID of the result in the Scopus database