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Introduction to shape optimization : theory, approximation, and computation.
Authors: ---
ISBN: 0898715369 9780898715361 Year: 2003 Publisher: Philadelphia SIAM

Optimal shape design : lectures given at the joint C.I.M/ C.I.M.E. summer school held in Troia, Portugal, June 1-6, 1998
Authors: --- --- --- ---
ISBN: 3540679715 3540444866 9783540679714 Year: 2000 Volume: 1740 Publisher: New York Springer

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Abstract

Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.


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Optimization of structures and components
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ISBN: 3319007165 3319007173 Year: 2013 Volume: 43 Publisher: Cham [Switzerland] : Springer,

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Written by an international group of active researchers in the field, this volume presents innovative formulations and applied procedures for sensitivity analysis and structural design optimization. Eight chapters discuss subjects ranging from recent developments in the determination and application of topological gradients, to the use of evolutionary algorithms and meta-models to solve practical engineering problems. With such a comprehensive set of contributions, the book is a valuable source of information for graduate students and researchers entering or working in the matter.

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