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Author:   Antonio André Novotny ,  Jan Sokołowski
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.664kg
ISBN:  

9783642352447

ISBN 10:   3642352448
Pages:   324
Publication Date:   14 December 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Domain Derivation in Continuum Mechanics.- Material and Shape Derivatives for Boundary Value Problems.- Singular Perturbations of Energy Functionals.- Configurational Perturbations of Energy Functionals.- Topological Derivative Evaluation with Adjoint States.- Topological Derivative for Steady-State Orthotropic Heat Diffusion Problems.- Topological Derivative for Three-Dimensional Linear Elasticity Problems.- Compound Asymptotic Expansions for Spectral Problems.- Topological Asymptotic Analysis for Semilinear Elliptic Boundary Value Problems.- Topological Derivatives for Unilateral Problems.

Reviews

From the reviews: The main aim of the presented book is the presentation of topological derivatives for a wide class of elliptic problems with the applications in numerical methods of shape and topology optimization. This volume is primarily addressed to applied mathematicians working in the field of partial differential equations and their applications, especially those concerned with numerical aspects. However, the book will also be useful for applied scientists from engineering and physics. (Jan Lovisek, zbMATH, Vol. 1276, 2014) The book under review concerns new methods of solving a class of shape optimization problems appearing in continuum mechanics, mainly in solid mechanics, composites and plate-like bodies. ... The theoretical results are illustrated by numerical examples. Moreover, carefully selected exercises are provided. This valuable book fills a gap in the literature on topology optimization. (Tomasz Lewinski, Mathematical Reviews, August, 2013)

From the reviews: The main aim of the presented book is the presentation of topological derivatives for a wide class of elliptic problems with the applications in numerical methods of shape and topology optimization. This volume is primarily addressed to applied mathematicians working in the field of partial differential equations and their applications, especially those concerned with numerical aspects. However, the book will also be useful for applied scientists from engineering and physics. (Jan Lovisek, zbMATH, Vol. 1276, 2014) The book under review concerns new methods of solving a class of shape optimization problems appearing in continuum mechanics, mainly in solid mechanics, composites and plate-like bodies. ... The theoretical results are illustrated by numerical examples. Moreover, carefully selected exercises are provided. This valuable book fills a gap in the literature on topology optimization. (Tomasz Lewinski, Mathematical Reviews, August, 2013)

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