Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results
We present a fixed-domain approach for the solution of shape optimization problems governed by linear or nonlinear elliptic partial differential state equations with Dirichlet boundary conditions, where shape optimization is facilitated via optimal contro
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Computational Methods in Applied Sciences Volume 27 Series Editor E. Oñate International Center for Numerical Methods in Engineering (CIMNE) Technical University of Catalonia (UPC) Edificio C-1, Campus Norte UPC Gran Capitán, s/n 08034 Barcelona, Spain [email protected] www.cimne.com
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Sergey Repin r Timo Tiihonen r Tero Tuovinen Editors
Numerical Methods for Differential Equations, Optimization, and Technological Problems Dedicated to Professor P. Neittaanmäki on His 60th Birthday
Editors Sergey Repin Mathematical Information Technology University of Jyväskylä Jyväskylä, Finland
Tero Tuovinen Mathematical Information Technology University of Jyväskylä Jyväskylä, Finland
Timo Tiihonen Mathematical Information Technology University of Jyväskylä Jyväskylä, Finland
ISSN 1871-3033 Computational Methods in Applied Sciences ISBN 978-94-007-5287-0 ISBN 978-94-007-5288-7 (eBook) DOI 10.1007/978-94-007-5288-7 Springer Dordrecht Heidelberg New York London Library of Congress Control Number: 2012948397 © Springer Science+Business Media Dordrecht 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to Professor Pekka Neittaanmäki on the occasion of his 60th birthday
Foreword
This book exposes the results
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