Contents of volume 34 issue 1
(2005)
Control and Cybernetics
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Displaying similar documents to “Preface to Special Issue”
Contents of volume 34 issue 1
Structural optimization using topological and shape sensitivity via a level set method
Grégoire Allaire, Frédéric de Gournay, François Jouve, Anca-Maria Toader (2005)
Control and Cybernetics
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Table of contents of volume 34 (2005)
(2005)
Control and Cybernetics
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Hadamard incomplete sensitivity and shape optimization
Bijan Mohammadi (2010)
Control and Cybernetics
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Alphabetical list of contributors of volume 34 (2005)
(2005)
Control and Cybernetics
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Book review: "Variational Methods in Shape Optimization Problems"
Andrzej Myśliński (2006)
Control and Cybernetics
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An Optimum Design Problem in Magnetostatics
Antoine Henrot, Grégory Villemin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we are interested in finding the optimal shape of a magnet. The criterion to maximize is the jump of the electromagnetic field between two different configurations. We prove existence of an optimal shape into a natural class of domains. We introduce a quasi-Newton type algorithm which moves the boundary. This method is very efficient to improve an initial shape. We give some numerical results.
Multi-phase structural optimization via a level set method
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...