Overview
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (9 chapters)
Keywords
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.
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.
Reviews
"The focus of this book is finite-dimensional constrained optimization problems which arise by discretizing shape optimization problems of [a particular] type…. In the major part of the book the authors recall the basic principles of constrained optimization, describe variants of Newton's algorithm to solve the necessary optimality conditions and discuss analytic and automatic techniques to calculate the derivative of j with respect to the design variable z." —Mathematical Reviews
"Many illustrative examples and numerical results clarify the presentation. The book will be of interest to graduate students involved in mathematical modeling and simulation, as well as to engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design." —Zentralblatt Math
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Methods in Sensitivity Analysis and Shape Optimization
Authors: Emmanuel Laporte, Patrick Tallec
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-1-4612-0069-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-8176-4322-5Published: 13 December 2002
Softcover ISBN: 978-1-4612-6598-6Published: 19 April 2013
eBook ISBN: 978-1-4612-0069-7Published: 06 December 2012
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XVII, 194
Additional Information: Supplementary files available on Springer Extras.
Topics: Mathematical and Computational Engineering, Applications of Mathematics, Probability Theory and Stochastic Processes, Computational Mathematics and Numerical Analysis, Optimization, Computational Intelligence