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Editor-in-Chief V. Ancona Series Editors P. Cannarsa C. Canuto G. Coletti P. Marcellini G. Patrizio T. Ruggeri E. Strickland A. Verra

For further volumes: www.springer.com/series/10283

Franco Brezzi r Piero Colli Franzone Ugo Gianazza r Gianni Gilardi Editors

Analysis and Numerics of Partial Differential Equations

r

Editors Franco Brezzi Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI) CNR Pavia Pavia, Italy

Ugo Gianazza Dipartimento di Matematica “F. Casorati” Università degli Studi di Pavia Pavia, Italy

Piero Colli Franzone Dipartimento di Matematica “F. Casorati” Università degli Studi di Pavia Pavia, Italy

Gianni Gilardi Dipartimento di Matematica “F. Casorati” Università degli Studi di Pavia Pavia, Italy

ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-88-470-2591-2 ISBN 978-88-470-2592-9 (eBook) DOI 10.1007/978-88-470-2592-9 Springer Milan Heidelberg New York Dordrecht London Library of Congress Control Number: 2012951305 © Springer-Verlag Italia 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)

In memory of Enrico Magenes

Enrico Magenes (courtesy of the family)

Preface

On November 2nd 2010 Enrico Magenes passed away. One year later, some of his friends, collaborators and former students organized