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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
485--511
Opis fizyczny
Bibliogr. 21 poz.,
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autor
Bibliografia
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT2-0001-1564