Fluid-structure Interactions Models, Analysis and Finite Elements
This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid
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Thomas Richter
Fluid-structure Interactions Models, Analysis and Finite Elements 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
Thomas Richter
Fluid-structure Interactions Models, Analysis and Finite Elements
123
Thomas Richter Institut fRur Analysis und Numerik UniversitRat Magdeburg Magdeburg, Germany
ISSN 1439-7358 ISSN 2197-7100 (electronic) Lecture Notes in Computational Science and Engineering ISBN 978-3-319-63969-7 ISBN 978-3-319-63970-3 (eBook) DOI 10.1007/978-3-319-63970-3 Library of Congress Control Number: 2017948387 Mathematics Subject Classification (2010): 74F10, 65N30, 65M60, 65N85, 65M50, 65M15, 65M12, 65F10, 65F08 © Springer International Publishing AG 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword
Fluid-structure interactions are an emerging topic in applied mathematics. Although computational methods have a long history in engineering applications, there is still no comprehensive presentation from a mathematical point of view. The work on the first manuscript on fluid-structure interactions started in the summer of 2010 along with the design of a class on numerical methods for fluid-structure interactions at the University of Heidelberg. A revision of this class in the winter of 2012 led to the first presentable version of lecture notes on this topic. The extensive and positive response to these notes was trigger and motivation for the
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