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Shape Optimization and Free Boundaries
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Pages: 469
Authors: Michel C. Delfour
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain
Introduction to Shape Optimization
Language: en
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Authors: Jan Sokolowski
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the opt
Shape Optimization Problems
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This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric
Shape Optimization by the Homogenization Method
Language: en
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Authors: Gregoire Allaire
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation o
Existence and Regularity Results for Some Shape Optimization Problems
Language: en
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Authors: Bozhidar Velichkov
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​We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger