Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities
β Scribed by Franz, Sebastian; Kellogg, R. Bruce; Stynes, Martin
- Book ID
- 124061876
- Publisher
- American Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 345 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0025-5718
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π 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
A new stabilized and accurate finite element formulation for convection-dominated problems is herein developed. The basis of the new formulation is the choice of a new upwind function. The upwind function chosen for the new method provokes its degeneration into the SUPG or CAU methods, depending on