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

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

by Erik G. Thompson
ISBN-10:
0471267538
ISBN-13:
9780471267539
Pub. Date:
02/05/2004
Publisher:
Wiley
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Overview

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

This text presents an introduction to the finite element method including theory, coding, and applications. The theory is presented without recourse to any specific discipline, and the applications span a broad range of engineering problems. The codes are written in MATLAB script in such a way that they are easily translated to other computer languages such as FORTRAN. All codes given in the text are available for downloading from the text's Web page, along with data files for running the test problems shown in the text. All codes can be run on the student version of MATLAB (not included).

Product Details

ISBN-13: 9780471267539
Publisher: Wiley
Publication date: 02/05/2004
Edition description: New Edition
Pages: 360
Product dimensions: 8.00(w) x 10.00(h) x 0.80(d)

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.

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