Progress in Boundary Element Methods Volume 2
A substantial amount of research on Boundary Elements has taken place since publication of the first Volume of this series. Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical te
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Contributors
C. A. Brebbia
School of Engineering, University of Southampton, England
(Chapters 1 and 8)
P. Skerget
University of Maribor, Yugoslavia
(Chapter 1)
P. H. L. Groenenboom NERATOOM, Holland
(Chapter 2)
C. Atkinson
Imperial College of Science and Technology, England
(Chapter 3)
D. Danson
Computational Mechanics Centre, Southampton, England
(Chapter 4)
T. Andersson
Linkoping Institute of Technology, Sweden
(Chapter 5)
B. G. Allan-Persson
Linkoping Institute of Technology, Sweden
(Chapter 5)
M. Stern
University of Texas, Austin, U.S.A.
(Chapter 6)
T. Komatsu
National Aerospace Laboratory, Japan
(Chapter 7)
J. C. F. Telles
COPPE-Federal (Chapter 8) University of Rio de Janeiro, Brazil
Progress • 1n Boundary Element Methods Volume 2
Edited by
C. A. Brebbia
University of Southampton
~
Springer Science+Business Media, LLC
© Springer Science+Business Media New York 1983 Originally published by Springer-Verlag New York Inc. in 1983 Softcover reprint of the hardcover 1st edition 1983 Bridsb Library Cataloguillg in Publkadon Data Progress in boundary element methods.-Vol. 2. 515.3'53 QA379 ISBN 978-1-4757-6302-7 ISSN 0260-7018
Library of Congress Cataloging in Publication Data (Revised for vol. 2) Main entry under title: .Progress in boundary element methods. Vol. 2 published: Springer Science+Business Media, LLC "A Halsted Press book." Includes bibliographical references and index. 1. Boundary value problems. I. Brebbia, C. A. TA347.B69P76 1981 620'.001'51535 81-6454 ISBN 978-1-4757-6302-7 ISBN 978-1-4757-6300-3 (eBook) DOI 10.1007/978-1-4757-6300-3
Preface A substantial amount of research on Boundary Elements has taken place since publication of the first Volume of this series. Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical techniques to increase the efficiency of the method. Chapter 1 of this Volume deals with the solution of non-linear potential problems, for which the diffusivity coefficient is a function of the potential and the boundary conditions are also non-linear. The recent research reported here opens the way for the solution of a: large range of non-homogeneous problems by using a simple transformation which linearizes the governing equations and consequently does not require the use of internal cells. Chapter 2 summarizes the main integral equations for the solution of two- and threedimensional scalar wave propagation problems. This is a type of problem that is well suited to boundary elements but generally gives poor results when solved using finite elements. The problem of fracture mechanics is studied in Chapter 3, where the ad vantages of using boundary integral equations are demonstrated. One of the most interesting features of BEM i~ the possibility of describing the problem only as a function of the boundary unknowns, even in the presence of body, centrifugal and temperature induced forces. Chapter 4 explains how this can be done for two- and three-dimensional elastostatic
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