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Computational Galerkin Methods

  • C. A. J. Fletcher

Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-xi
  2. C. A. J. Fletcher
    Pages 1-71
  3. C. A. J. Fletcher
    Pages 72-85
  4. C. A. J. Fletcher
    Pages 86-154
  5. C. A. J. Fletcher
    Pages 155-186
  6. C. A. J. Fletcher
    Pages 187-224
  7. C. A. J. Fletcher
    Pages 246-276
  8. Back Matter
    Pages 277-309

About this book

Introduction

In the wake of the computer revolution, a large number of apparently uncon­ nected computational techniques have emerged. Also, particular methods have assumed prominent positions in certain areas of application. Finite element methods, for example, are used almost exclusively for solving structural problems; spectral methods are becoming the preferred approach to global atmospheric modelling and weather prediction; and the use of finite difference methods is nearly universal in predicting the flow around aircraft wings and fuselages. These apparently unrelated techniques are firmly entrenched in computer codes used every day by practicing scientists and engineers. Many of these scientists and engineers have been drawn into the computational area without the benefit offormal computational training. Often the formal computational training we do provide reinforces the arbitrary divisions between the various computational methods available. One of the purposes of this monograph is to show that many computational techniques are, indeed, closely related. The Galerkin formulation, which is being used in many subject areas, provides the connection. Within the Galerkin frame-work we can generate finite element, finite difference, and spectral methods.

Keywords

Galerkinsche Methode differential equation diffusion eigenvalue element evolution finite element method geometry ordinary differential equation partial differential equation solution spectra turbulence

Authors and affiliations

  • C. A. J. Fletcher
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of SydneyAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-85949-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-85951-9
  • Online ISBN 978-3-642-85949-6
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site
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