Introduction to the Finite Element Method: Theory, Programming and Applications / Edition 1

by Erik G. Thompson

Overview

Written for students with any engineering or applied science background, Erik Thompson's new text presents the theory, applications, and programming skills needed to understand the finite element method and use it to solve problems in engineering analysis and design. Offering concise, highly practical coverage, this introductory text provides complete finite element codes that can be run on the student version of MATLAB or easily converted to other languages.

This text gives students the opportunity to:

Master the basic theory: The text promotes an understanding and appreciation of the theoretical basis of finite element approximations by building on concepts that are intuitive to the students. Throughout, the text uses matrix notation to help students visualize the finite element matrices. Study problems reinforce basic theory.

Experiment with the code: Numerical experiments show how to test programs for possible errors, experiment with boundary conditions, and study accuracy and stability. Code development exercises suggest ways to modify the codes to create additional capabilities. All codes are available on the book's web page along with sample data files for testing them. Each code can be run immediately using only the student version of MATLAB. Because each code is written using explicit programming, they also serve as pseudo-codes that can be used to develop programs in any computer language.

Gain hands-on experience: Projects, representing a wide variety of engineering disciplines, enable students to conduct analyses of fairly complex problems. Many of these projects encourage investigations of new techniques for using the finite element method.

Product Details

ISBN-13:	9780471267539
Publisher:	Wiley
Publication date:	02/04/2004
Pages:	360
Product dimensions:	8.00(w) x 10.00(h) x 0.80(d)

About the Author

Erik G. Thompson is the author of Introduction to the Finite Element Method: Theory, Programming and Applications, published by Wiley.

Table of Contents

1. Introduction.

2. Calculus of Variations.

3. A Finite Element Program.

4. Linear Second Order Ordinary Differential Equations.

5. A Finite Element Function for Two Dimensions.

6. Poisson’s Equation — FEM Approximation.

7. Poisson’s Equation — Applications.

8. Higher-Order Elements.

9. A FEM Program for Two-Dimensional Boundary Value Problems.

10. Analysis of Transient Behavior.

11. Elasticity.

12. Higher-Order Equations.

Appendix A. Equation Solvers and Compact Storage.

Appendix B. The Shape Function Array.

Appendix C. Gaussian Quadrature.

Appendix D. Auxiliary Codes.