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On Topological Derivative in Shape Optimization

Abstract : In the paper the topological derivative for arbitrary shape functional is defined. Examples are provided for elliptic equations and the elasticity system in the plane. The topological derivative can be used for solving shape optimization problems in structural mechanics.
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https://hal.inria.fr/inria-00073518
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 1:06:38 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:32:48 PM

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  • HAL Id : inria-00073518, version 1

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Jan Sokolowski, Antoni Zochowski. On Topological Derivative in Shape Optimization. [Research Report] RR-3170, INRIA. 1997, pp.31. ⟨inria-00073518⟩

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