Mathematical Aspects of Finite Element Methods Proceedings of the Co
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606 Mathematical Aspects of Finite Element Methods Proceedings of the Conference Held in Rome, December 10-12, 1975
Edited by I. Galligani and E. Magenes
Springer-Verlag Berlin Heidelberg NewYork 1977
Editors Ilio Galligani Istituto per le Applicazioni del Calcolo ,,Mauro Picone", C.N.R. Viale del Policlinico 137 00161 Roma/Italia Enrico Magenes Laboratorio di Analisi Numerica, C.N.R. Via Carlo Alberto, 5 Pavia/Italia
Library of Congress Cataloging in Publication Data
Meeting on Mathematical Aspects of Finite Element Methods~ Rome, 1975. Mathematical aspects of finite element methods. (Lecture notes in mathematics ; 606) "Organized by the Istituto per le applicazioni del caleolo "Mauro Picone" and Laboratorio di analisi numeriea." Bibliography : p. Includes index. i. Numerical analysis--Congresses. 2. Finite element method--Congresses. I. Galligani, Ilio. II. Magenes, Enrieo. III. Istituto per le applicazioni del calcolo. IV. Laboratorio di analisi numeriea. V. Title. VI. Series : Lecture notes in mathematics (Berlin) ; 606. QAS.L28 no. 606 [QA297] 510'.8s [519.h] 77-21425
AMS Subject Classifications (1970): 35F25, 3 5 F 3 0 , 6 5 N 3 0 , 6 5 N 3 6 , 49A20 ISBN 3-540-08432-0 ISBN 0-38?-08432-0
Springer-Verlag Berlin Heidelberg NewYork Springe~-Verlag NewYork Heidelberg Berlin
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FOREWORD The contents of this book are based on lectures given at the Me!
ting on Mathematical Aspects of Finite Element Methods,
December
held
in Rome,
10-12 1975, at the "Consiglio Nazionale delle Ricerche" (C.N.R0
organized by the I~t~tuto per le Applicazioni del Calcolo and Laboratorio di Analisi Numerica. The subject of this meeting
importance
is of particular
"Mauro Picone"
interest owing to the
that the Finite Element Method has in many fields of engine!
ring, not only from the point of view of research but also in the ind~ strial routine.
by engineers
It is well known that this method has been developed
as a concept of structural
When there was discovered
ment Method and the Ritz-Galerkin-Faedo of piecewise polynomial this method
analysis.
the connection between the Finite Ele
functions,
increased enormously:
procedure applied to the spaces
the interest of mathematicians
now,
in this field,
and ideas of engineers and mathematicians
converge and overlap
the cooperation between them has become more and more essential. To this aim, the Istituto per le Applicazioni
Picone"
(IAC)
emphasizing
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