Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in phy
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Gary Cohen Sébastien Pernet
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
Scientific Computation Editorial Board J.-J. Chattot, Davis, CA, USA P. Colella, Berkeley, CA, USA R. Glowinski, Houston, TX, USA M.Y. Hussaini, Tallahassee, FL, USA P. Joly, Le Chesnay, France D.I. Meiron, Pasadena, CA, USA O. Pironneau, Paris, France A. Quarteroni, Lausanne, Switzerland and Politecnico of Milan, Milan, Italy M. Rappaz, Lausanne, Switzerland R. Rosner, Chicago, IL, USA P. Sagaut, Paris, France J.H. Seinfeld, Pasadena, CA, USA A. Szepessy, Stockholm, Sweden M.F. Wheeler, Austin, TX, USA
More information about this series at http://www.springer.com/series/718
Gary Cohen Sébastien Pernet •
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
123
Sébastien Pernet The French Aerospace Lab ONERA Toulouse France
Gary Cohen Inria Saclay France
ISSN 1434-8322 Scientific Computation ISBN 978-94-017-7759-9 DOI 10.1007/978-94-017-7761-2
ISSN 2198-2589
(electronic)
ISBN 978-94-017-7761-2
(eBook)
Library of Congress Control Number: 2016942523 © Springer Science+Business Media Dordrecht 2017 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. Disclaimer: There are instances where we have been unable to trace or contact the copyright holder. If notified the publisher will be pleased to rectify any errors or omissions at the earliest opportunity. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media B.V. Dordrecht
Foreword
This book is the natural continuation of a previous book by Gary Cohen on numerical methods for time domain wave propagation problems, a topic to which Gary has dedicated three decades of his research career at INRIA. He has written this new book with Sébastien Pernet, one of his brightest Ph.D. students. Sébastien, in particular, has made many contrib
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