Directional differentiability of metric projection in [..] and applications

Abstract : The form of directional derivative of the metric projection in the Sobolev space HS(2;0)() into the convex set K = {f HS(2;0)() | f y } is derived. The result is used to obtain the differential stability of the solutions to obstacle problems for the Kirchhoff plate. Applications to the shape design sensitivity of the obstacle problems are provided.
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Rapport
[Research Report] RR-1711, INRIA. 1992, pp.17
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https://hal.inria.fr/inria-00076948
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Soumis le : lundi 29 mai 2006 - 11:39:56
Dernière modification le : samedi 17 septembre 2016 - 01:06:48
Document(s) archivé(s) le : vendredi 13 mai 2011 - 22:11:02

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Murali Rao, Jan Sokolowski. Directional differentiability of metric projection in [..] and applications. [Research Report] RR-1711, INRIA. 1992, pp.17. 〈inria-00076948〉

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