The finite element method : from theory to practice

Numéro d'article 10215603

The finite element method which emerged in the 1950s to deal with structural mechanics problems has since undergone continuous development. Using partial differential equation models it is now present in such fields of application as mechanics physics chemistry economics finance and biology. It is also used in most scientific computing software and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way the theoretical foundations practical considerations of implementation algorithms as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter. 1. Theoretical aspects of elliptic equations -- 2. Variational formulations and their solutions -- 3. Introduction to the finite element method -- 4. Numerical analysis of the finite element method -- 5. Concrete aspects of the finite element method.

x 376 pages illustrations 24 cm. Patrick Ciarlet Eric Luneville. Includes bibliographical references and index. Finite element method. Méthode des éléments finis. Finite element method.