Second derivatives and sufficient optimality conditions for shape funetionals

• Autorzy: Eppler K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimal shape design; second directional derivatives; sufficient optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2000
• Tom: Vol. 29, no 2
• Strony: 485--511
• Opis fizyczny: Bibliogr. 21 poz.,

Twórcy

autor

Eppler K.