Introduction to Shape Optimization: Shape Sensitivity Analysis - Couverture souple

Sokolowski, Jan; Zolesio, Jean-Paul

9783642634710: Introduction to Shape Optimization: Shape Sensitivity Analysis

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ISBN 10 : 3642634710 ISBN 13 : 9783642634710

Editeur : Springer, 2012

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Shape Optimization is a classical field of the calculus of variations, optimal control theory and structural optimization. In this book the authors discuss the shape calculus introduced by J. Hadamard and extend it to a broad class of free boundary value problems. The approach is functional analytic throughout and will serve as an excellent basis for the development of numerical algorithms for the solution of shape optimization problems.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2012
Langue: anglais
ISBN 10: 3642634710
ISBN 13: 9783642634710
Reliure: Broch�
Nombre de pages: 260
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Introduction to Shape Optimization

Jan Sokolowski|Jean-Paul Zolesio

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ISBN 10 : 3642634710 ISBN 13 : 9783642634710

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Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics)

Sokolowski, Jan; Zolesio, Jean-Paul

Edit� par Springer, 2012

ISBN 10 : 3642634710 ISBN 13 : 9783642634710

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Introduction to Shape Optimization (Springer Series in Computational Mathematics)

Jan Sokolowski

Edit� par Springer 1992-06-18, 1992

ISBN 10 : 3642634710 ISBN 13 : 9783642634710

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Introduction to Shape Optimization : Shape Sensitivity Analysis

Jean-Paul Zolesio

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642634710 ISBN 13 : 9783642634710

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem. N� de r�f. du vendeur 9783642634710

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Introduction to Shape Optimization

Jean-Paul Zolesio

Edit� par Springer Berlin Heidelberg Okt 2012, 2012

ISBN 10 : 3642634710 ISBN 13 : 9783642634710

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem. 260 pp. Englisch. N� de r�f. du vendeur 9783642634710

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Introduction to Shape Optimization

Jean-Paul Zolesio

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2012, 2012

ISBN 10 : 3642634710 ISBN 13 : 9783642634710

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. N� de r�f. du vendeur 9783642634710

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