Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641198 | Journal of Computational and Applied Mathematics | 2009 | 11 Pages |
Abstract
We study convergence properties of a numerical method for convection-diffusion problems with characteristic layers on a layer-adapted mesh. The method couples standard Galerkin with an hh-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated norm, we derive the error estimate as well as the supercloseness result that are uniform in the perturbation parameter. Applying a post-processing operator for the discontinuous Galerkin method, we construct a new numerical solution with enhanced convergence properties.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Helena Zarin,