On the Stability of Boundary Element Methods for Integral Equations of the First Kind
A larger class of two-dimensional elliptic boundary value problems in elasticity and fluid mechanics can be reduced to systems of boundary integral equations of the first kind. This paper is concerned with the stability analysis of boundary element method
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British Library Cataloguing in Publica!ion Data Boundary elements IX. 1. Engineering mathematics 2. Boundary valuc problems 1. Brebbia, C.A. II. Wendland, W.L. III. Kuhn, G. 620' .001 '515353 TA347. B69 ISBN 978-3-662-21910-2 ISBN 978-3-662-21908-9 (eBook) DOI 10.1007/978-3-662-21908-9
Library ofCongress Catalog Card Number 87-71518 This work is subject to copyright. AII rights are reserved, whethcr the whole or part of the material is concerned, spccifically the rights of translation, reprinting, re-u se of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication ofthis publication or parts thereof is only permitted under the provisions ofthe German Copyright Law of September 9, 1965, in its version ofJune 24, 1985, and a copyright fee must always be paid. Violatiuns fali under thc prosecution act ofthe German Copyright Law. ©Springer-Verlag Berlin Heidclbcrg 1987 Ursprunglich erschienen bei Springer-Verlag Berlin Heidelberg New York 1987 Softcover reprint ofthe hardcover 1st edition 1987
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PREFACE This book contains the edited versions of most of the papers presented at the 9th International Conference on Boundary Elements held at the University of Stuttgart, Germany from August 31st to September 4th, 1987, which was organized in co-operation with the Computational Mechanics Institute and GAMM (Society for Applied Mathematics and Mechanics). This Conference, as the previous ones, aimed to review the latest developments in technique and theory and point out new advanced future trends. The emphasis of the meeting was on the engineering advances versus mathematical formulations, in an effort to consolidate the basis of many new applications. Recently engineers have proposed different techniques to solve non-linear and time dependent problems and many of these formulations needed a better mathematical understanding. Furthermore, new approximate formulations have been proposed for boundary elements which appeared to work in engineering practice, but did not have a proper theoretical background. The Conference also discussed the engineering applications of the method and concentrated on a link between BEM practitioners, industrial users and researchers working on the latest development of the method. The editors would like to express their appreciation and thanks to Ms. Liz Newman and Mr. H. Schmitz for their unstinting work in the preparation of the Conference. The organizers wish to acknowledge the support of the following organizations:
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University of Stuttgart, West Germany ISCME (International Society for Computational Methods in Engineering) GAMM (Gesellschaft fuer Angewandte Mathematik und Mechanik) DFG (German Research Foundation) State Grant of the
