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Finite Element Method

Gouri Dhatt, Laval University, Quebec, Canada / University of Technology of Compiegne and INSA Rouen Gilbert Touzot, Laval University, Quebec, Canada / University of Technology of Compiegne and INSA Rouen Emmanuel Lefrançois, University of Technology of Compiègne, France

ISBN: 9781848213685

Publication Date: October 2012   Hardback   624 pp.

245.00 USD


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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.

Contents

1. Approximations with finite elements.
2. Various types of elements.
3. Integral formulation.
4. Matrix presentation of the finite element method.
5. Numerical Methods.
6. Programming technique.

About the Authors

Gouri Dhatt is Professor of Engineering at Laval University in Quebec, Canada, the University of Technology of Compiegne (UTC), France and INSA Rouen, France. He is the co-author of various books on finite elements and their applications.
Gilbert Touzot is Emeritus Professor having worked, since 1967, in computational mechanics at the University of Quebec, Canada, the University of Technology of Compiegne (UTC), France and INSA Rouen, France. He is currently President of the French National Digital University of Technology - UNIT.
Emmanuel Lefrançois is currently Associate Professor at the University of Technology of Compiègne (UTC), France. His areas of expertise concern computer sciences for multiphysics applications and essentially for fluid-structure interactions and he teaches in the fields of computer science (finite elements) and fluid mechanics.

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