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Introduction to Shape Optimization: Shape Sensitivity Analysis
Author(s): Jan Sokolowski (Author), Jean-Paul Zolesio (Author)
- Publisher: Springer
- Publication Date: May 21, 1992
- Edition: 1st
- Language: English
- Print length: 250 pages
- ISBN-10: 3540541772
- ISBN-13: 9783540541776
Book Description
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.
