Interpolation
The finite element method considers an approximation function defined in each finite element in terms of a set of interpolation functions. This feature, already introduced in the previous chapter through linear interpolation functions, plays a key role in
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Springer-Verlag Berlin Heidelberg GmbH
Engineering
ONLINE lIBRARY
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A. Portela • A. Charafi
Finite Elements Using Maple A Symbolic Programming Approach
lst ed. 2002. Corr. 2nd printing
,
Springer
Professor Artur Portela New University of Lisbon Civil Engineering Department Faculty of Science and Technology Quinta da Torre 2825-114 Caparica Portugal e-mail: [email protected]
Dr. Abdellatif Charafi University of Portsmouth Computational Mathematics Group School of Computer Science and Mathematics Mercantile House Portsmouth POl 2EG United Kingdom e-mail: [email protected] Additional material to this book can be downloaded from http://extras.springer.com. ISBN 978-3-642-62755-2
Library of Congress Cataloging-in-Publication-Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Portela, Artur: Finite elements using maple : a symbolic programming approach 1 A. Portela ; A. Charafi.Berlin; Heidelberg ; New York; Barcelona ; Hong Kong ; London ; Milan ; Paris; Tokyo: Springer, 2002 (Engineering online Iibrary) ISBN 978-3-642-62755-2 ISBN 978-3-642-55936-5 (eBook) DOI 10.1007/978-3-642-55936-5
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Preface
Almost all physical phenomena can be mathematically described in terms of differential equations. The finite element method is a tool for the approximate solution of differential equations. However, despite the extensive use of the finite element method by engineers in the industry, understanding the principles involved in its formulation is often lacking in the common user. As an approximation process, the finite ele~ent method can be formulated with the general technique of weighted residuals. This technique has the advantage of enhancing the essential unity of all processes of approximation used in the solution of differential
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