We consider an upwind ÿnite di erence scheme on a novel layer-adapted mesh (a modiÿcation of Shishkin's piecewise uniform mesh) for a model singularly perturbed convection-di usion problem in two dimensions. We prove that the upwind scheme on the modiÿed Shishkin mesh is ÿrst-order convergent in the
Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem
✍ Scribed by Kopteva, Natalia
- Book ID
- 118190349
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 234 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0036-1429
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