Optimal Shape Design for Elliptic Equations Via Bie-Methods

• Autorzy: Eppler K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimal shape design; fundamental solution; boundary integral equation; first-order necessary condition

PL

rozwiązanie podstawowe; równanie całkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2000
• Tom: Vol. 10, no 3
• Strony: 487--516
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Eppler K.

• Faculty of Mathematics, Chemnitz University of Technology 09107 Chemnitz, Germany,