© 2017

Finite Element Methods

A Practical Guide


Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jonathan Whiteley
    Pages 1-4
  3. Jonathan Whiteley
    Pages 5-23
  4. Jonathan Whiteley
    Pages 25-53
  5. Jonathan Whiteley
    Pages 55-80
  6. Jonathan Whiteley
    Pages 81-101
  7. Jonathan Whiteley
    Pages 103-118
  8. Jonathan Whiteley
    Pages 119-141
  9. Jonathan Whiteley
    Pages 143-160
  10. Jonathan Whiteley
    Pages 161-173
  11. Jonathan Whiteley
    Pages 175-188
  12. Jonathan Whiteley
    Pages 189-196
  13. Jonathan Whiteley
    Pages 197-202
  14. Jonathan Whiteley
    Pages 203-209
  15. Back Matter
    Pages 211-232

About this book


This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.


Higher order basis functions Newton method for nonlinear algebraic equations Linear elliptic partial differential equations Nonlinear elliptic partical differential equations Parabolic partial differential equations

Authors and affiliations

  1. 1.Department of Computer ScienceUniversity of OxfordOxfordUnited Kingdom

Bibliographic information

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