- Tytuł:
- Optimal Shape Design for Elliptic Equations Via Bie-Methods
- Autorzy:
- Eppler, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/911209.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
rozwiązanie podstawowe
równanie całkowe
optimal shape design
fundamental solution
boundary integral equation
first-order necessary condition - Opis:
- A special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechet-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 487-516
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł