Numerical Study of Goal-Oriented Error Control for Stabilized Finite Element Methods

The efficient and reliable approximation of convection-dominated problems continues to remain a challenging task. To overcome the difficulties associated with the discretization of convection-dominated equations, stabilization techniques and a posteriori

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Thomas Apel · Ulrich Langer Arnd Meyer · Olaf Steinbach Editors

Advanced Finite Element Methods with Applications Selected Papers from the 30th Chemnitz Finite Element Symposium 2017

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

128

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

Thomas Apel • Ulrich Langer • Arnd Meyer • Olaf Steinbach Editors

Advanced Finite Element Methods with Applications Selected Papers from the 30th Chemnitz Finite Element Symposium 2017

123

Editors Thomas Apel Institut f¨ur Mathematik & Computergestützte Simulation Universit¨at der Bundeswehr M¨unchen Neubiberg, Germany

Ulrich Langer Institute for Computational Mathematics Johannes Kepler University Linz Linz, Austria

Arnd Meyer Fakult¨at f¨ur Mathematik TU Chemnitz Chemnitz, Germany

Olaf Steinbach Institut f¨ur Angewandte Mathematik Technische Universit¨at Graz Graz, Austria

ISSN 1439-7358 ISSN 2197-7100 (electronic) Lecture Notes in Computational Science and Engineering ISBN 978-3-030-14243-8 ISBN 978-3-030-14244-5 (eBook) https://doi.org/10.1007/978-3-030-14244-5 Mathematics Subject Classification (2010): 65-Fxx, 65-Mxx, 65-Nxx, 65-Yxx, 74-Sxx, 76-Mxx © Springer Nature Switzerland AG 2019 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. Cover illustration: Image reprinted with kind permission from Ulrich Langer und Andreas Schafelner. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

The annual Chemnitz Finite Element Symposium is a successful series of meetings on discretization methods for partial differential equations which