Computational Galerkin Methods

1. Front Matter

   Pages i-xi

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2. Traditional Galerkin Methods

   • C. A. J. Fletcher

   Pages 1-71

3. Computational Galerkin Methods

   • C. A. J. Fletcher

   Pages 72-85

4. Galerkin Finite-Element Methods

   • C. A. J. Fletcher

   Pages 86-154

5. Advanced Galerkin Finite-Element Techniques

   • C. A. J. Fletcher

   Pages 155-186

6. Spectral Methods

   • C. A. J. Fletcher

   Pages 187-224

7. Comparison of Finite-Difference, Finite-Element, and Spectral Methods

   • C. A. J. Fletcher

   Pages 225-245

8. Generalized Galerkin Methods

   • C. A. J. Fletcher

   Pages 246-276

9. Back Matter

   Pages 277-309

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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.

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

• Department of Mechanical Engineering, University of Sydney, Australia

  C. A. J. Fletcher

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