Introduction to Shape Optimization: Shape Sensitivity Analysis: v. 16 (Springer Series in Computational Mathematics) - Hardcover

Sokolowski, Jan; Zolesio, J-. P.

 
9783540541776: Introduction to Shape Optimization: Shape Sensitivity Analysis: v. 16 (Springer Series in Computational Mathematics)

Synopsis

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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9783642634710: Introduction to Shape Optimization: Shape Sensitivity Analysis: 16 (Springer Series in Computational Mathematics, 16)

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ISBN 10:  3642634710 ISBN 13:  9783642634710
Publisher: Springer, 2012
Softcover