Multigrid Methods II Proceedings of the 2nd European Conference on M
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Multigrid Methods II Proceedings of the 2nd European Conference on Multigrid Methods held at Cologne, October 1-4, 1985
Edited by W Hackbusch and U. Trottenberg
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors Wolfgang Hackbusch Institut fUr Informatik und Praktische Mathematik Christian-Albrechts-Universitat Kiel Olshausenstr. 40-60, 2300 Kiel 1, FRG Ulrich Trottenberg Mathematisches Institut Universitat zu K61n Weyertal 86-90, 5000 K61n 41, FRG and Gesellschaft fUr Mathematik und Datenverarbeitung Institut fur Methodische Grundlagen Schlof3 Birlinghoven, 5205 St. Augustin 1, FRG
Mathematics Subject Classification (1980): 35 J XX, 35 KXX, 35 LXX, 65-02, 65-06, 65F 10, 65H 10, 65N20, 65N30, 65NXX, 68BXX, 68C05, 68C25, 76XX, 8208 ISBN 3-540-17198-3 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17198-3 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© Springer-Verlag Berlin Heidelberg 1986 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr, 2146/3140-543210
Preface: These proceedings contain a selection of papers presented at the 2nd European Conference on Multigrid Methods which was held at the University of Cologne on October 1-4, 1985. It was organized by: • Gesellschaft fiir Mathematik und Datenverarbeitung (GMD), Institut fiir Methodische Grundlagen, St Auguatin-Birlinghoven, • GAMM-Fachausschu13 "Effiziente numerische Verfahren filr partielle Differentialgleichungen" , in cooperation with .Mathematisches Institut der Universitat zu Koln. Whereas the First European Conference on Multigrid Methods in 1981 could be regarded as a first breakthrough of the multigrid idea to the field of application problems, this second conference reflected the systematic progress in the last four years in both theory and practice as well as the strongly grown acceptance of multigrid methods amoung users. The papers of this volume are assumed to be of interest for a large number of scientists in academic and industrial research. They give a survey on the current multigrid development. (More specialized papers presented at the conference have been published in the GMD-Study no. 110; they are listed at the end of this volume.) Most of the papers in this volume deal with problems arising from fluid- and aerodynamics. Special multigrid solvers are discussed for potential and Euler flows as well as for the solution of the full Navier-Stokes equations in highly complicated geometries. These problems, which are perhaps the most challenging ones for numerical mathematics of all, were also at the centre of interest at the conference. New fields of applica
