Finite Elements: Theory, Fast Solvers, and Applications in Elasticity Theory

Finite Elements Theory, Fast Solvers, and Applications in Elasticity Theory

DIETRICH BRAESS

Translated from the German by Larry L. Schumaker

CAMBRIDGE UNIVERSITY PRESS

Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, S o Paulo

Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK

Published in the United States of America by Cambridge University Press, New York

www.cambridge.org
Information on this title: www.cambridge.org/9780521705189

2007 D. Braess

This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.

First published 2007

A catalog record for this publication is available from the British Library

Library of Congress Cataloging in Publication data

ISBN 9780521705189 paperback

Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate.

This definitive introduction to finite element methods has been thoroughly updated for this third edition, which features important new material for both research and application of the finite element method.

The discussion of saddle point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena.

The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational...

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