Generalized Galerkin Methods for Convection-Dominated Problems

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


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.


Galerkin Method Uniform Mesh Galerkin Approximation Consistent Mass Matrix Artificial Diffusion 
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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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