Shape Sensitivity Analysis of Variational Problems in Domains with Cracks

Abstract : We obtain the structure theorem for a differentiable shape functional defined in a domain including curved cracks. The theorem is an extension of the structure theorem given eg. in [15] in the case of smooth domains. Four examples of applications of our result are given for shape functionals defined for elliptic boundary value problems: to nonlinear elliptic boundary value problems, to optimal control problems and to the shape differentiability of the first eigenvalue of the Laplacian.
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Rapport
[Research Report] RR-3701, INRIA. 1999, pp.42
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Soumis le : mercredi 24 mai 2006 - 11:29:23
Dernière modification le : samedi 17 septembre 2016 - 01:06:54
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:29:39

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Gilles Fremiot, Jan Sokolowski. Shape Sensitivity Analysis of Variational Problems in Domains with Cracks. [Research Report] RR-3701, INRIA. 1999, pp.42. 〈inria-00072967〉

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