Finite elements : an introduction to the method and error estimation

Author(s)

Bibliographic Information

Finite elements : an introduction to the method and error estimation

Ivo Babuška, John R. Whiteman, Theofanis Strouboulis

Oxford University Press, 2011

  • : hbk.
  • : pbk.

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book seeks to bridge the 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 presents computed numbers which not only illustrate the theory but can only be analysed 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.

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

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Details

  • NCID
    BB04370228
  • ISBN
    • 9780198506690
    • 9780198506706
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Oxford
  • Pages/Volumes
    xii, 323 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
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