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:
2024-04-08
Data dodania obiektu:
2024-04-08
Liczba wyświetleń treści obiektu:
3
Wszystkie dostępne wersje tego obiektu:
https://www.zbc.uz.zgora.pl/publication/88521
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 1 (2009)
- Regional observation and sensors
- Optimal internal dissipation of a damped wave equation using a topological approach
- Stochastic controllability of systems with multiple delays in control
- Nonlinear filtering for Markov systems with delayed observations
- Robust parameter design using the weighted metric metod - The case of "the smaller the belter"
- Robust fractional adaptive control based on the strictly positive realness condition
- On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
- Reachability of cone fractional continuous-time linear systems
- Positive 2D discrete-time linear Lyapunov systems
- Algebraic condition for decomposition of large-scale linear dynamic systems
- Dynamic external force feedback loop control of a robot manipulator using a neural kompensator-Application to the trajectory following in an unknown environment
- Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability
- Notes on a linguistic description as the basis for automatic image understanding
- Semi-Markov-based approach for the analysis of open tandem networks with blocking and truncation
- Mining indirect association rules for web recommendation
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 2 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 3 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 4 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 1 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
| Nazwa wydania | Data |
|---|---|
| Optimal internal dissipation of a damped wave equation using a topological approach | 2024-04-08 |
