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  • Textbook
  • © 2004

An Introduction to Linear and Nonlinear Finite Element Analysis

A Computational Approach

Birkhäuser
  • 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
  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Introduction

    • Prem K. Kythe, Dongming Wei
    Pages 1-24
  3. One-Dimensional Shape Functions

    • Prem K. Kythe, Dongming Wei
    Pages 25-36
  4. One-Dimensional Second-Order Equation

    • Prem K. Kythe, Dongming Wei
    Pages 37-74
  5. One-Dimensional Fourth-Order Equation

    • Prem K. Kythe, Dongming Wei
    Pages 75-88
  6. Two-Dimensional Elements

    • Prem K. Kythe, Dongming Wei
    Pages 89-106
  7. Two-Dimensional Problems

    • Prem K. Kythe, Dongming Wei
    Pages 107-136
  8. More Two-Dimensional Problems

    • Prem K. Kythe, Dongming Wei
    Pages 137-174
  9. Axisymmetric Heat Transfer

    • Prem K. Kythe, Dongming Wei
    Pages 175-206
  10. Transient Problems

    • Prem K. Kythe, Dongming Wei
    Pages 207-240
  11. Nonlinear One-Dimensional Problems

    • Prem K. Kythe, Dongming Wei
    Pages 241-268
  12. Plane Elasticity

    • Prem K. Kythe, Dongming Wei
    Pages 269-296
  13. Stokes Equations and Penalty Method

    • Prem K. Kythe, Dongming Wei
    Pages 297-322
  14. Vibration Analysis

    • Prem K. Kythe, Dongming Wei
    Pages 323-350
  15. Computer Codes

    • Prem K. Kythe, Dongming Wei
    Pages 351-391
  16. Back Matter

    Pages 393-445

About this book

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Reviews

"This is an introductory textbook on finite element analysis and practice aimed at students with diverse backgrounds from engineering, technology, physics, geophysics and applied mathematics. The book provides accessibility to all students, with a minimum of mathematical analysis.... The last chapter is dedicated to computer programs in Mathematica, Ansys, Matlab and Fortran. There are six appendices, 87 examples and 148 exercises. The book ends with a bibliography and a detailed subject index."

—Mathematical Reviews

"This book is introductory in the sense of being accessible to students not only of mathematics, but also of the physical and the engineering sciences once they have mastered the introductory mathematical courses. It is also introductory in the sense of not providing the reader with all the theoretical framework of convergence analysis of the FE-method based on Sobolev spaces, etc. Rather it is content with explaining the very basic ideas behind FE. In a different sense it does however lead to relatively advanced topics, namely from the standpoint of applications.… Overall, the presentation is quite detailed regarding the needs of the practitioner with many examples to engineering, earth sciences, etc. (among others elasticity, vibrations, heat transfer, fluid flow; also eigenvalue problems), and special but important items not so often covered in other texts, e.g., how to cope with the specific difficulties arising in polar coordinates. Both numerous exercises and codes in Ansys, Fortran, Mathematica and MATLAB direct the reader towards experimentation of his own."

—Monatshefte für Mathematik

Authors and Affiliations

  • Department of Mathematics, University of New Orleans, New Orleans, USA

    Prem K. Kythe, Dongming Wei

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access