Book description
This book offers an in-depth presentation of the finite element
method, aimed at engineers, students and researchers in applied
sciences.
The description of the method is presented in such a
way as to be usable in any domain of application. The level of
mathematical expertise required is limited to differential and matrix
calculus.
The various stages necessary for the implementation of
the method are clearly identified, with a chapter given over to each
one: approximation, construction of the integral forms, matrix
organization, solution of the algebraic systems and architecture of
programs. The final chapter lays the foundations for a general
program, written in Matlab, which can be used to solve problems that
are linear or otherwise, stationary or transient, presented in
relation to applications stemming from the domains of structural
mechanics, fluid mechanics and heat transfer.
Gouri Dhatt obtained his D. SC in 1968 from Laval University on
Numerical Modelling. Since 1968 he has been working as Professor of
Engineering at Laval University Quebec, University of Technology
Compiegne and INSA Rouen. He is co-author of various books on Finite
Elements and its applications.
Emmanuel Lefrançois is currently an associate professor at the
University of Technology of Compiègne (UTC). Areas of expertise
concern computer sciences for multiphysics applications and
essentially for fluid-structure interactions. Teaching areas concern
the computer sciences (finite element) and fluid mechanics.
Gilbert Touzot is Emeritus Professor. Since 1967 he has been
working in computational méchanics at Université du Québec, Université
de Compiègne and National Institute of Applied Sciences Rouen. He is
presently président of the french national digital University of
Technology - UNIT.