Introduction to the Finite Element Method WIE - Thompson, Erik G.

Introduction to the Finite Element Method WIE

Erik G. Thompson

Yayınevi: John Wiley High Education

Yayın tarihi: 09/2004

ISBN: 9780471452539

Ciltli | İngilizce | 360 Sayfa | 258 mm x 208 mm

Tür: Bilgisayar-Akademik

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Description

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).

Table of Contents

1. Introductory Example.
2.Calculus of Variations.
3. Program Wire.
4. The FEM for Second Order ODE'S.
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 2D 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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