Numerical Methods in Sensitivity Analysis and Shape Optimization - Brossura

Laporte, Emmanuel; Le Tallec, Patrick

Brossura

ISBN 10: 1461265983 ISBN 13: 9781461265986

Casa editrice: Birkhauser, 2013

Riassunto

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.

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Recensione

"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

Contenuti

Outline and Notation Acknowledgements Basic Formulations Finite Dimensional Optimization Newton's Algorithms Constrained Optimization Automatic Differentiation Computing Gradients by Adjoint States Applications One Shot Methods Conclusions A: Subroutine cubspl B: Prototype Programmes for the Optimization Code C: Odyssee User's Manual (short version) D: A Subroutine computing the Gradient with respect to the Grid for the Steady Aerodynamic Example Bibliography Index

Dettagli dell?edizione

• Editore: Birkhauser
• Data di pubblicazione: 2013
• ISBN 10: 1461265983
• ISBN 13: 9781461265986
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 216