Mathematical Concepts
DUNE is designed to form the foundation for implementations of finite element and finite volume methods. To give prospective users a quick idea these two methods are briefly revisited here.
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Oliver Sander
DUNE – The Distributed and Unified Numerics Environment
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
Oliver Sander
DUNE — The Distributed and Unified Numerics Environment
Oliver Sander Institut für Numerische Mathematik TU Dresden Dresden, Germany
Additional material to this book can be downloaded from http://extras.springer.com. ISSN 1439-7358 ISSN 2197-7100 (electronic) Lecture Notes in Computational Science and Engineering ISBN 978-3-030-59701-6 ISBN 978-3-030-59702-3 (eBook) https://doi.org/10.1007/978-3-030-59702-3 Mathematics Subject Classification (2020): 65-04, 65N30, 65N08, 65Y99 © Springer Nature Switzerland AG 2020 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, expressed 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. 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 idea that a book about Dune would be a good thing to have has been on my mind for a long time. Many people have expressed interest in Dune, right from the start. Many have started to use it, but it was a steep learning curve for a lot of them, because Dune is a complex piece of software, and not every part of it is well documented. There were two things that kept me from considering to write the book myself. First, it was obvious that it would be a large book, and I was intimidated by the amount of work that this would mean. Secondly, Dune is the joint work of a large group of people, and I did not know how to properly and sufficiently give them credit. For a while, I thought that I had a plan that would elegantly solve b
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