Obiekt
Tytuł: Optimal internal dissipation of a damped wave equation using a topological approach
Współtwórca:
Tytuł publikacji grupowej:
Abstract:
We consider a linear damped wave equation defined on a two-dimensional domain ?, with a dissipative term localized in a subset ?. We address the shape design problem which consists in optimizing the shape of ? in order to minimize the energy of the system at a given time T. By introducing an adjoint problem, we first obtain explicitly the (shape) derivative of the energy at time T with respect to the variation in ?. ; Expressed as a boundary integral on ??, this derivative is then used as an advection velocity in a Hamilton-Jacobi equation for shape changes. We use the level-set methodology on a fixed working Eulerian mesh as well as the notion of the topological derivative. We also consider optimization with respect to the value of the damping parameter. The numerical approximation is presented in detail and several numerical experiments are performed which relate the over-damping phenomenon to the well-posedness of the problem.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 19, number 1 (2009) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2009)
Data ostatniej modyfikacji:
2024-11-05
Data dodania obiektu:
2024-04-08
Liczba wyświetleń treści obiektu:
37
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/88521
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 1 (2009)
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| Nazwa wydania | Data |
|---|---|
| Optimal internal dissipation of a damped wave equation using a topological approach | 2024-11-05 |
