Abstract
Non-monotone methods with Shishkin meshes are employed in obtaining finite difference schemes for solving a linear two-dimensional steady state convection-diffusion problem. Preconditioners are used that significantly reduce the number of iterations of the linear solver. Computational results for a Galerkin method are presented which indicate parameter robust, super-linear orders of convergence.
Original language | English |
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Pages (from-to) | 3673-3687 |
Number of pages | 15 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 192 |
Issue number | 33-34 |
DOIs | |
Publication status | Published - 15 Aug 2003 |
Keywords
- Iterative solvers
- Non-monotone methods
- Preconditioning
- Shishkin meshes