Introduction to Shape Optimization: Theory, Approximation, and Computation (Advances in Design and Control)

✍ Scribed by J. Haslinger, R. A. E. Mäkinen

• Publisher: Society for Industrial Mathematics
• Year: 2003
• Tongue: English
• Leaves: 292
• Series: Advances in Design and Control
• Category: Library

✦ Synopsis

I rated 3 stars mainly because the book, contrarily to the advertising, isn't for engineers, it is for mathematicians. Is written with a very sophisticated mathematics, where simple things become complicated. If you're an engineer you might not be able to read it, or even if you're are able to, you probably won't be interested in theorems and proofs. Sorry, but I was really disappointed with the book, simply isn't what I expected - a book with fundamentals but in an accessible language.

✦ Table of Contents

Introduction to Shape Optimization......Page 2
Advances in Design and Control......Page 3
ISBN 0-89871-536-9......Page 5
Contents......Page 6
Preface......Page 10
Notation......Page 14
Introduction......Page 18
Part I Mathematical Aspects of Sizing and Shape Optimization......Page 20
1 Why the Mathematical Analysis Is Important......Page 22
2 A Mathematical Introduction to Sizing and Shape Optimization......Page 32
Part II Computational Aspects of Sizing and Shape Optimization......Page 116
3 Sensitivity Analysis......Page 118
4 Numerical Minimization Methods......Page 148
5 On Automatic Differentiation of Computer Programs......Page 172
6 Fictitious Domain Methods in Shape Optimization......Page 188
Part III Applications......Page 218
7 Applications in Elasticity......Page 220
8 Fluid Mechanical and Multidisciplinary Applications......Page 242
Appendix A Weak Formulations and Approximations of Elliptic Equations and Inequalities......Page 264
Appendix B On Parametrizations of Shapes and Mesh Generation......Page 276
Bibliography......Page 282
Index......Page 290