Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509636 | Journal of Computational and Applied Mathematics | 2005 | 7 Pages |
Abstract
We study convergence properties of a first-order upwind difference scheme applied to a weakly coupled system of singularly perturbed convection-diffusion equations. We derive a priori and a posteriori error estimates that are robust with respect to the perturbation parameters. Thereby strengthening and generalising recent results (Appl. Numer. Math. 51 (2004) 171; in: A. Ansari, A Hegarty, G.I. Shishkin, Numerical Methods for Problems with Layer Phenomena, Limerick, 2004, pp. 33-39). The key ingredient of our analysis are strong negative-norm stability results obtained earlier by Andreev (Differential Equations 37(7) (2001) 923) and by Andreev and Kopteva (Differential Equations 34(7) (1998) 921)).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Torsten LinÃ,