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Stable second-order accurate iterative solutions for second-order elliptic problems

✍ Scribed by Avi Lin

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
788 KB
Volume
9
Category
Article
ISSN
0271-2091

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✦ Synopsis

The paper describes a numerical scheme for solving a convection-diffusion elliptic system with very small diffusion coefficients. This iterative numerical procedure is unconditionally stable and converges very rapidly. Although only linear equations are considered here, this technique can be easily extended to nonlinear equations, while keeping its main features as for the linear case. The numerical experiments presented are quite general and confirm most of these features. These examples also show a good way of implementing this scheme.

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