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

Sokolowski, Jan; Zolesio, Jean-Paul

ISBN 10: 3540541772 / ISBN 13: 9783540541776

Published by Springer, 1992

About this Item

Seller Inventory # I-9783540541776

Bibliographic Details

• Title: Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics)
• Publisher: Springer
• Publication Date: 1992
• Language: English
• ISBN 10: 3540541772
• ISBN 13: 9783540541776
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.