Numerical Methods in Sensitivity Analysis and Shape Optimization

  • Emmanuel Laporte
  • Patrick Le Tallec

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Emmanuel Laporte, Patrick Le Tallec
    Pages 1-24
  3. Emmanuel Laporte, Patrick Le Tallec
    Pages 25-34
  4. Shrawan Kumar
    Pages 35-51
  5. Shrawan Kumar
    Pages 53-69
  6. Emmanuel Laporte, Patrick Le Tallec
    Pages 71-85
  7. Emmanuel Laporte, Patrick Le Tallec
    Pages 87-95
  8. Emmanuel Laporte, Patrick Le Tallec
    Pages 97-135
  9. Emmanuel Laporte, Patrick Le Tallec
    Pages 137-160
  10. Emmanuel Laporte, Patrick Le Tallec
    Pages 161-162
  11. Back Matter
    Pages 163-194

About this book


Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers.

Key features of this original, progressive, and comprehensive approach:

* description of mathematical background and underlying tools

* up-to-date review of grid construction and control, optimization algorithms, software differentiation and gradient calculations

* practical solutions for implementation in many real-life problems

* solution of illustrative examples and exercises

* basic mathematical programming techniques used to solve constrained minimization problems are presented; these fairly self-contained chapters can serve as an introduction to the numerical solution of generic constrained optimization problems

* supplementary online source files and data; readers can test different solution strategies to determine their relevance and efficiency

* supplementary files also offer software building, updating computational grids, performing automatic code differentiation, and computing basic aeroelastic solutions

Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design. The work is suitable as a textbook for graduate courses in any of the topics mentioned above, and as a reference text.


Analysis algorithm algorithms construction mathematical modeling mathematical programming model modeling numerical methods optimization programming simulation stability

Authors and affiliations

  • Emmanuel Laporte
    • 1
  • Patrick Le Tallec
    • 2
  1. 1.Délégation Générale pour L’Armement DSA/SPAéParis Cedex 15France
  2. 2.Ecole PolytechniquePalaiseau CedexFrance

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 2003
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6598-6
  • Online ISBN 978-1-4612-0069-7
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site
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