| Autor: |
Hegarty, Alan F., Miller, John J.H., O'Riordan, Eugene, Shishkin, G. I. |
| Zdroj: |
Journal of Computational Physics; March 1, 1995, Vol. 117 Issue: 1 p47-54, 8p |
| Abstrakt: |
In this paper a model problem for fluid flow at high Reynolds number is examined. Parabolic boundary layers are present because part of the boundary of the domain is a characteristic of the reduced differential equation. For such problems it is shown, by numerical example, that upwind finite difference schemes on uniform meshes are not ɛ-uniformly convergent in the discrete L∞ norm, where ɛ is the singular perturbation parameter. A discrete L∞ ɛ-uniformly convergent method is constructed for a singularly perturbed elliptic equation, whose solution contains parabolic boundary layers for small values of the singular perturbation parameter ɛ. This method makes use of a special piecewise uniform mesh. Numerical results are given that validate the theoretical results, obtained earlier by the last author, for such special mesh methods. Copyright 1995, 1999 Academic Press |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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