Introduction to Shape Optimization: Shape Sensitivity Analysis (SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS)

Sokolowski, Jan, Zolesio, Jean-Paul

ISBN 10: 0387541772 / ISBN 13: 9780387541778

Published by Springer Verlag, 1992

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Bibliographic Details

• Title: Introduction to Shape Optimization: Shape Sensitivity Analysis (SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS)
• Publisher: Springer Verlag
• Publication Date: 1992
• Language: English
• ISBN 10: 0387541772
• ISBN 13: 9780387541778
• Binding: hardcover
• Condition: Like New
• Book Type: book

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Synopsis

This books 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 including many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elasticplastic problem. The "material derivative" is defined from which any kind of shape derivative of a cost functional can be derived. New results about the wave equation and the unilateral problem are also included in the book which will serve as a theoretical framework for the algorithmic approach to shape optimization problems.