Introduction to shape optimization : shape sensitivity analysis

Bibliographic Information

Introduction to shape optimization : shape sensitivity analysis

Jan Sokolowski, Jean-Paul Zolesio

(Springer series in computational mathematics, 16)

Springer-Verlag, c1992

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  • : us

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Bibliography: p. [240]-250

Description and Table of Contents

Description

This book presents modern functional analysis methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book, which is intended to serve as a basic reference work for the algorithmic approach to shape optimization problems.

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