A streamline diffusion finite element method on a shishkin mesh for a convection-diffusion problem
✍ Scribed by Stynes, Martin
- Publisher
- Springer-Verlag
- Year
- 1994
- Weight
- 414 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0370-7377
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📜 SIMILAR VOLUMES
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
On the unit square, we consider a model singularly perturbed convection±diusion problem whose solution contains exponential boundary and corner layers. Shishkin meshes are frequently used to solve such problems numerically. We compare and evaluate the performance of several numerical methods on thes
The continuous interior penalty (CIP) method for elliptic convection-diffusion problems with characteristic layers on a Shishkin mesh is analysed. The method penalises jumps of the normal derivative across interior edges. We show that it is of the same order of convergence as the streamline diffusio