The Finite Element Method


From Theory to Practice

The Finite Element Method

Patrick Ciarlet, ENSTA Paris, France
Eric Lunéville, ENSTA Paris, France


ISBN : 9781786307682

Publication Date : September 2023

Hardcover 392 pp

165.00 USD

Co-publisher

Description


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.

Contents


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.

About the authors/editors


Patrick Ciarlet is a professor at the Applied Mathematics Unit of ENSTA Paris, France. His research focuses on the design of numerical methods for solving problems in physics, modeled by systems of partial differential equations.

Eric Lunéville is a professor at the Applied Mathematics Unit of ENSTA Paris, France. His research focuses on the design of numerical methods for solving problems in mechanics and physics, modeled by systems of partial differential equations.