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An Introduction to Linear and Nonlinear Finite Element Analysis

A Computational Approach

  • Prem K. Kythe
  • Dongming Wei

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Prem K. Kythe, Dongming Wei
    Pages 1-24
  3. Prem K. Kythe, Dongming Wei
    Pages 25-36
  4. Prem K. Kythe, Dongming Wei
    Pages 37-74
  5. Prem K. Kythe, Dongming Wei
    Pages 75-88
  6. Prem K. Kythe, Dongming Wei
    Pages 89-106
  7. Prem K. Kythe, Dongming Wei
    Pages 107-136
  8. Prem K. Kythe, Dongming Wei
    Pages 137-174
  9. Prem K. Kythe, Dongming Wei
    Pages 175-206
  10. Prem K. Kythe, Dongming Wei
    Pages 207-240
  11. Prem K. Kythe, Dongming Wei
    Pages 241-268
  12. Prem K. Kythe, Dongming Wei
    Pages 269-296
  13. Prem K. Kythe, Dongming Wei
    Pages 297-322
  14. Prem K. Kythe, Dongming Wei
    Pages 323-350
  15. Prem K. Kythe, Dongming Wei
    Pages 351-391
  16. Back Matter
    Pages 393-445

About this book

Introduction

Although finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics.

Unlike existing texts designed with specific applications to a particular field of mechanical, civil, or chemical engineering, the emphasis here is on interdisciplinary applications. One- and two-dimensional linear and nonlinear initial/boundary value problems are solved using finite element, Newton's, and conjugate gradient methods.  Mathematical theory is kept to a minimum, making the text accessible to students with varied backgrounds.

Features:

* Software tools using Mathematica, Matlab, Fortran, and commercial finite element codes, such as Ansys, integrated throughout the text * Numerous examples and exercises with diverse applications to linear and nonlinear heat transfer, fluid flows, mechanical vibrations, electromagnetics, and structures * Supporting material and selected solutions to problems available at the authors' websites: http://www.math.uno.edu/fac/pkythe.html and http://www.math.uno.edu/fac/dwei.html * Minimal prerequisites: a course in calculus of several variables, differential equations and linear algebra, as well as some knowledge of computers

Primarily a classroom resource, the book may also be used as a self-study reference for researchers and practitioners who need a quick introduction to finite element methods. P>

Keywords

Analysis Boundary value problem MATLAB Mathematica Vibration chemical engineering finite element method heat transfer linear algebra model programming sketch

Authors and affiliations

  • Prem K. Kythe
    • 1
  • Dongming Wei
    • 1
  1. 1.Department of MathematicsUniversity of New OrleansNew OrleansUSA

Bibliographic information