Introduction to Shape Optimization
Subtitle: Shape Sensitivity Analysis
By: by Jan Sokolowski, Jean-Paul Zolesio
Contributors: Zolesio, Jean-Paul
Series: Springer Series in Computational Mathematics -- 16; Springer series in computational mathematics -- 16.
Publisher: Springer Berlin Heidelberg
Published: 1992
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 250
ISBN-13: 9783642634710; 9783642581069
Subjects: Mathematics; Numerical analysis; Engineering mathematics; Mathematical optimization; Systems theory
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.
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