- Tytuł:
- Second derivatives and sufficient optimality conditions for shape funetionals
- Autorzy:
- Eppler, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/206712.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal shape design
second directional derivatives
sufficient optimality conditions - Opis:
- For sorne heuristic approaches to boundary variation in shape optimization the computation of second derivatives of domain and boundary integral functionals, their symmetry and a comparison to the velocity field or material derivative method are discussed. Moreover, for these approaches the functionals are Frechet-differentiable in some sense, because at least a local embedding into a Banach space problem is possible. This allows the discussion of sufficient condition in terms of a coercivity assumption on the second Frechet-derivative. The theory is illustrated by a discussion of the famous Dido problem.
- Źródło:
-
Control and Cybernetics; 2000, 29, 2; 485-511
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł