Introduction to Finite and Spectral Element Methods using MATLAB

✍ Scribed by Pozrikidis, Constantine

• Publisher: CRC Press
• Year: 2005
• Tongue: English
• Leaves: 672
• Category: Library

✦ Synopsis

THE FINITE ELEMENT METHOD IN ONE DIMENSIONSteady diffusion with linear elementsVariational formulation and weighted residuals Steady diffusion with quadratic elements Unsteady diffusion in one dimension One-dimensional convection One-dimensional convection-diffusion Beam bending Beam buckling HIGH-ORDER AND SPECTRAL ELEMENTS IN ONE DIMENSION Nodal bases Spectral interpolation Lobatto interpolation and element matrices Spectral code for steady diffusion Spectral code for unsteady diffusion Modal expansion THE FINITE ELEMENT METHOD IN TWO DIMENSIONS Convection-diffusion in two dimensions 3-node. Read more...

Abstract:

Helps to understand both the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. This work introduces the fundamentals and emphasizes algorithm development and computer implementation of the essential procedures. Read more...

✦ Table of Contents

Content: Front cover
Preface
Contents
Fselib software library
Frequently Asked Questions
Chapter 1. The finite element method in one dimension
Chapter 2. High-order and spectral elements in one dimension
Chapter 3. The finite element methodin two dimensions
Chapter 4. Quadratic and spectral elements in two dimensions
Chapter 5. Applications in solid and fluid mechanics
Chapter 6. Finite and spectral element methods in three dimensions
Appendices
Appendix A. Function interpolation
Appendix B. Orthogonal polynomials
Appendix C. Linear solvers
Appendix D. Mathematical supplement. Appendix E. Element grid generationAppendix F. Glossary
Appendix G. Matlab primer
References
Back cover.