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Introduction to Shape Optimization

Jan Sokolowski · 1992

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About the book

This book presents modern functional analytic 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. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems.

Book details

Year
1992
Language
English
Series
Springer Series in Computational Mathematics -- 16
Publisher
Springer Berlin Heidelberg
Editions
3
Pages
250
ISBN
9783642634710

Data source: Wikidata

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