Numerical Investigations of the Errors of the Bubnov-Galerkin Method
In Chap. 3, many prior error estimates for the Bubnov-Galerkin method applied to coupled thermoelastic problems of shallow shells and plates were derived. The estimates related to the general case of a shell with a variable thickness subjected to time-var
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J.-J. Chattot, Davis, CA, USA P. Colella, Berkeley, CA, USA R. Glowinski, Houston, TX, USA M. Holt, Berkeley, CA, USA Y. Hussaini, Tallahassee, FL, USA P. Joly, Le Chesnay, France H. B. Keller, Pasadena, CA, USA D. I. Meiron, Pasadena, CA, USA O. Pironneau, Paris, France A. Quarteroni, Lausanne, Switzerland J. Rappaz, Lausanne, Switzerland R. Rosner, Chicago, IL, USA J. H. Seinfeld, Pasadena, CA, USA A. Szepessy, Stockholm, Sweden M. F. Wheeler, Austin, TX, USA
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Jan Awrejcewicz Vadim A. Krys'ko
Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods With 222 Figures
,
Springer
Professor Jan Awrejcewicz
Professor Vadim A. Krys'ko
Technical University of Lodz Department of Automatics and Biomechanics III 5 Stefanowskiego St. 90-924 Lodz, Poland E-mail: [email protected]
Saratov State Technical University Department of Mathematics 77 Polyteshnycheskaya St. 41005 Saratov, Russia
ISSN 1434-8322 ISBN 978-3-642-62869-6 Library of Congress Cataloging-in-Publication Data Awrejcewicz, J. (Jan) Nonclassical thermoelastic problems in nonlinear dynamics of shells: applications of the Bubnov-Galerkin and finite difference numerical methods/Jan Awrejcewicz, Vadim A. Krys'ko. p.cm. - (Scientific computation, ISSN 1434-8322) Includes bibliographical references and index. ISBN 978-3-642-62869-6 ISBN 978-3-642-55677-7 (eBook) DOI 10.1007/978-3-642-55677-7
Elastic plates and shells. 2. Galerkin methods. 3. Finite differences. I. Krys'ko, V. A. (Vadim Anatol'evich), 1937- . II. Title. III. Series. QA935.A97 2003 624.1'776-dc21
1.
2002030638
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Originally published by Springer-Verlag Berlin Heidelberg New York in 2003 Softcover reprint of the hardcover 1st edition 2003 The use of general descriptive names, registered names, trademarks, 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. Typesetting by the author Final page layout: LE-TEX, Leipzig Cover design: design & production GmbH, Heidelberg Printed on acid-free paper SPIN: 10885444 55/3141/tr - 5 4 3 21 o
Preface
This monograph describes some approaches to the nonlinear theory
