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.
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© 1989 Springer-Verlag Wien
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Donea, J. (1989). Generalized Galerkin Methods for Convection-Dominated Problems. In: Doltsinis, I.S. (eds) Advances in Computational Nonlinear Mechanics. International Centre for Mechanical Sciences, vol 300. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2828-2_5
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DOI: https://doi.org/10.1007/978-3-7091-2828-2_5
Publisher Name: Springer, Vienna
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