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Cover

Finite Elements

An Introduction to the Method and Error Estimation

Ivo Babuska, John Whiteman, and Theofanis Strouboulis

Publication Date - December 2010

ISBN: 9780198506706

336 pages
Paperback
9.7 x 6.7 inches

In Stock

Retail Price to Students: $72.95

Bridges the gap between theory and numerical results in a unique and accessible way

Description

Most books on finite elements are devoted either to mathematical theory or to engineering applications--but not to both. Finite Elements: An Introduction to the Method and Error Estimation, by Ivo Babuska, John J. Whiteman, and Theofanis Strouboulis, seeks to bridge this gap by presenting the main theoretical ideas of the finite element method and the analysis of its errors in an accessible way. At the same time, it also presents computed numbers, which not only illustrate the theory but can only be analyzed using the theory. This approach, both dual and interacting between theory and computation makes this book unique.

Much research is currently being done into reliability in computational modelling, involving both validation of the mathematical models and verification of the numerical schemes. By treating finite element error analysis in this way this book is a significant contribution to the verification process of finite element modelling in the context of reliability.

Features

  • Globally used method in scientific and engineering computations
  • Constant need for up-to-date textbooks
  • Uniquely brings together theory and numerical results
  • Huge potential market as a guide to error estimation, which is missing from most commercial finite element packages

About the Author(s)

Ivo Babuska is the Robert B. Trull Chair in Engineering and Senior Research Scientist at the University of Texas at Austin.

John Whiteman is Distinguished Professor and Director of BICOM, Institute of Computational Mathematics, at Brunel University.

Theofanis Strouboulis is a professor in the Department of Aerospace Engineering at Texas A&M University.

Table of Contents

    1. Introduction
    2. Formulations of the Problems
    3. Finite Element Methods
    4. Interpolation and its Error
    5. a priori Estimates of the Error of the Finite Element Solution in the Energy Norm
    6. Functionals and Superconvergence
    7. a posteriori Error Estimates
    8. A Note on Verification
    9. Epilogue