Description
WILEY INDIA Introduction To The Finite Element Method:Theory, Programming, And Applications by Erik G Thompson
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 book's Web page, along with data files for running the test problems shown in the book.
TABLE OF CONTENTS
· Introduction.
· Calculus of Variations.
· A Finite Element Program.
· Linear Second Order Ordinary Differential Equations.
· A Finite Element Function for Two Dimensions.
· Poisson's Equation -- FEM Approximation.
· Poisson's Equation -- Applications.
· Higher-Order Elements.
· A FEM Program for Two-Dimensional Boundary Value Problems.
· Analysis of Transient Behavior.
· Elasticity.
· Higher-Order Equations.
· Appendix A. Equation Solvers and Compact Storage.
· Appendix B. The Shape Function Array.
· Appendix C. Gaussian Quadrature.
· Appendix D. Auxiliary Codes.