Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, a

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Gabriel R. Barrenechea Franco Brezzi · Andrea Cangiani Emmanuil H. Georgoulis Editors

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations Editorial Board T. J.Barth M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick

Lecture Notes in Computational Science and Engineering Editors: Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick

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More information about this series at http://www.springer.com/series/3527

Gabriel R. Barrenechea • Franco Brezzi • Andrea Cangiani • Emmanuil H. Georgoulis Editors

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

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Editors Gabriel R. Barrenechea Department of Mathematics & Statistics University of Strathclyde Glasgow, United Kingdom

Andrea Cangiani Department of Mathematics University of Leicester Leicester, United Kingdom

Franco Brezzi Istituto di Matematica Applicata e Tecnologie Informatiche - Pavia Consiglio Nazionale delle Ricerche Pavia, Italy Emmanuil H. Georgoulis Department of Mathematics University of Leicester Leicester, United Kingdom and Department of Mathematics National Technical University of Athens Zografou, Greece

ISSN 1439-7358 ISSN 2197-7100 (electronic) Lecture Notes in Computational Science and Engineering ISBN 978-3-319-41638-0 ISBN 978-3-319-41640-3 (eBook) DOI 10.1007/978-3-319-41640-3 Library of Congress Control Number: 2016951846 Mathematics Subject Classification (2010): 65M06, 65M08, 65M12, 65M60, 65M99 © Springer International Publishing Switzerland 2016 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Preface

This volume contains survey articles from the topics of a number of the plenary talks of the 101st LMS-EPSRC Symposium entitled Building Bridges: Connections and Challenges in Modern