A Galerkin finite element method that uses piecewise bilinears on a simple piecewise equidistant mesh is applied to a linear convection-dominated convection-diffusion problem in two dimensions. The method is shown to be convergent, uniformly in the perturbation parameter, of order N y1 ln N in a glo
A Comparison of Uniformly Convergent Difference Schemes for Two-Dimensional Convection—Diffusion Problems
✍ Scribed by Alan F. Hegarty; Eugene O'Riordan; Martin Stynes
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 372 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
Galerkin and Petrov Galerkin linite element mellods are used to obtain new linite difference schemes for the solution of linear twodimensional convection difusion problems. Numerical estimates are made of the rates of convergence of these schemes, uniformly with respect to the perturbation parameter, and these uniform rates are shown to compare favourably with those of established methods. C) 1993 Academic Press. Inc.
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