Mixed Finite Element Methods and Applications
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulat
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Daniele Boffi Franco Brezzi Michel Fortin
Mixed Finite Element Methods and Applications
Springer Series in Computational Mathematics Editorial Board R.E. Bank R.L. Graham J. Stoer R.S. Varga H. Yserentant
For further volumes: http://www.springer.com/series/797
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Daniele Boffi
Franco Brezzi
Michel Fortin
Mixed Finite Element Methods and Applications
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Daniele Boffi Dipartimento di Matematica “F. Casorati” University of Pavia Pavia Italy
Franco Brezzi IUSS (Istituto Universitario di Studi Superiori) Pavia Italy
Michel Fortin D´epartement de math´ematiques et de statistique Universit´e Laval Qu´ebec Canada
ISSN 0179-3632 ISBN 978-3-642-36518-8 ISBN 978-3-642-36519-5 (eBook) DOI 10.1007/978-3-642-36519-5 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013940257 Mathematics Subject Classification (2010): 6502, 65N15 c Springer-Verlag Berlin Heidelberg 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)
Preface
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin went out of print and we were asked to allow a second printing. The world had evolved and we thought that a revision was due and that some topics had to be added to the book. For this task, D. Boffi joined the team
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