Grid Generation Methods
This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-
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Vladimir D. Liseikin
Grid Generation Methods Third Edition
Grid Generation Methods
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
Vladimir D. Liseikin
Grid Generation Methods Third Edition
123
Vladimir D. Liseikin Institute of Computational Technologies SB RAS Novosibirsk Russia and Novosibirsk State University Novosibirsk Russia
ISSN 1434-8322 Scientific Computation ISBN 978-3-319-57845-3 DOI 10.1007/978-3-319-57846-0
ISSN 2198-2589
(electronic)
ISBN 978-3-319-57846-0
(eBook)
Library of Congress Control Number: 2017939626 1st edition: © Springer-Verlag Berlin Heidelberg 1999 2nd edition: © Springer Science+Business Media B.V. 2010 3rd edition: © 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
Preface to the Third Edition
Grid generation codes represent an indispensable tool for solving field problems in applied mathematics, mechanics, physics, and other areas of practical applications. Despite the considerable success achieved in grid generation technologies, development of more efficient and sophisticated algorithms and computer codes for generating grids still r