Contents of volume 34 issue 1
(2005)
Control and Cybernetics
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(2005)
Control and Cybernetics
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Philippe Guillaume, Maatoug Hassine (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The gradient based topological optimization tools introduced during the last ten years tend naturally to modify the topology of a domain by creating small holes inside the domain. Once these holes have been created, they usually remain unchanged, at least during the topological phase of the optimization algorithm. In this paper, a new asymptotic expansion is introduced which allows to decide whether an existing hole must be removed or not for improving the cost function. Then, two...
G. Allaire, C. Dapogny, G. Delgado, G. Michailidis (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the optimal distribution of several elastic materials in a fixed working domain. In order to optimize both the geometry and topology of the mixture we rely on the level set method for the description of the interfaces between the different phases. We discuss various approaches, based on Hadamard method of boundary variations, for computing shape derivatives which are the key ingredients for a steepest descent algorithm. The shape gradient obtained for a sharp interface involves...
Xu Guo, Kang Zhao, Michel Wang (2005)
Control and Cybernetics
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Jan Sokołowski, Tomasz Lewiński (2005)
Control and Cybernetics
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Bijan Mohammadi (2010)
Control and Cybernetics
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Michael Hintermüller, Antoine Laurain (2008)
Control and Cybernetics
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