Generalized Galerkin Methods for Convection-Dominated Problems

  • J. Donea
Chapter
Part of the International Centre for Mechanical Sciences book series (CISM, volume 300)

Abstract

A brief survey is presented of generalized Galerkin methods for steady and unsteady convection-dominated problems. The particular areas upon which attention is focused are Petrov-Galerkin methods for steady problems and Taylor-Galerkin methods for evolutionary problems governed by hyperbolic equations. Also discussed are mixed advection-diffusion problems for which a splitting-up method of solution is suggested. Numerical examples are included to illustrate the performance of the Taylor-Galerkin method in the solution of linear and nonlinear hyperbolic problems.

Keywords

Galerkin Method Uniform Mesh Galerkin Approximation Consistent Mass Matrix Artificial Diffusion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Wien 1989

Authors and Affiliations

  • J. Donea
    • 1
  1. 1.Joint Research CentreIspraItaly

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