Geodesic
A notion of compliance robustness in topology optimization
Amstutz, Samuel1  ; Ciligot-Travain, Marc1 
1 Laboratoire de Mathématiques d’Avignon, Faculté des Sciences, 33 rue Pasteur, 84000 Avignon, France.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 64-87

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The goal of this paper is twofold. On one hand, our work revisits the minimization of the robust compliance in shape optimization, with a more natural and more general approach than what has been done before. On the other hand, following a more recent viewpoint on robust optimization, we study the maximization of the so-called stability radius for a fixed maximal compliance. We provide theorical as well as numerical results.

Reçu le :
DOI : 10.1051/cocv/2014066
Classification : 49Q10, 49M29, 74P05, 74P10, 74P15, 90C20
Keywords: Robustness, stability radius, compliance, topological derivative, topology optimization

Amstutz, Samuel 1 ; Ciligot-Travain, Marc 1

1 Laboratoire de Mathématiques d’Avignon, Faculté des Sciences, 33 rue Pasteur, 84000 Avignon, France. 
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Amstutz, Samuel; Ciligot-Travain, Marc. A notion of compliance robustness in topology optimization. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 64-87. doi: 10.1051/cocv/2014066

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