Introduction to shape optimization : shape sensitivity analysis
Author(s)
Bibliographic Information
Introduction to shape optimization : shape sensitivity analysis
(Springer series in computational mathematics, 16)
Springer-Verlag, c1992
- : gw
- : us
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Note
Bibliography: p. [240]-250
Description and Table of Contents
Description
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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