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A brief survey is presented of generalised 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 nonlinear hyperbolic problems.

Additional information

Authors: DONEA J, JRC Ispra Estab. (IT)
Bibliographic Reference: Article: Advances in Computational Nonlinear Mechanics, 1989, published by CISM-SPRINGER, Udine (IT)
Record Number: 198910577 / Last updated on: 1994-12-01
Original language: en
Available languages: en