Multifidelity Global Optimization Using DIRECT
Multifidelity global optimization methods have the potential to allow the optimization of problems which are computationally expensive and have high dimensionality. The DIRECT algorithm has been modified to incorporate multifidelity information. Two corre
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Springer-Verlag Berlin Heidelberg GmbH
Lorenz T. Biegler Omar Ghattas Matthias Heinkenschloss Bart van Bloemen Waanders Editors
large-Scale
PDE-Constrained
Optimization With 84 Figures, 11 in Color
,
Springer
Editors Lorenz T. Biegler
Omar Ghattas
Department of Chemical Engineering Carnegie Mellon University Pittsburgh, PA 15213, USA e-mail: [email protected]
Department ofBiomedical Engineering and Civil & Environmental Engineering Carnegie Mellon University Pittsburgh, PA 15213, USA e-mail: [email protected]
Matthias Heinkenschloss
Bart van Bloemen Waanders
Department of Computational and Applied Mathematics Rice University 6100 S. Main Street - MS 134 Houston, TX 77005, USA e-mail: [email protected]
Optimization & Uncertainty Estimation Dept. Sandia National Laboratories - MS 0847 P.O. Box 5800 Albuquerque, NM 87185, USA e-mail: [email protected]
Cataloging-in-Publication Data applied for A catalog record for this book is available from the Library of Congress. Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .
Mathematics Subject Classification (2000): 34-XX, 35-XX, 49-XX, 65-XX, 68-XX, 74-XX, 76-XX, 90-XX ISSN 1439-7358
ISBN 978-3-540-05045-2 ISBN 978-3-642-55508-4 (eBook) DOI 10.1007/978-3-642-55508-4 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, re citation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law.
http://www.springer.de © Springer-Verlag Berlin Heidelberg 2003
Originally published by Springer-Verlag Berlin Heidelberg New York in 2003 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover Design: Friedhelm Steinen-Broo, Estudio Calamar, Spain Cover production: design & production Typeset by the authors using a Springer T)3X macro package Printed on acid-free paper
46/3142/LK - 5 43210
Table of Contents
I
Introduction
Large-Scale PDE-Constrained Optimization: An Introduction Lorenz To Biegler, Omar Ghattas, Matthias Heinkenschloss, Bart van Bloemen Waanders 0
II
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Large-Scale CFD Applications
Nonlinear Elimination in Aerodynamic Analysis and Design Optimization Do Po Young, Wo Po Huffman, Ro Go Melvin, Co Lo Hilmes, F. To Johnson 0
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