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 h-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated
SDFEM with non-standard higher-order finite elements for a convection-diffusion problem with characteristic boundary layers
✍ Scribed by Sebastian Franz
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 701 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0006-3835
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📜 SIMILAR VOLUMES
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
element edges (cf., for example, [4]), or a tensor product of the one dimensional approximations along element edges In this paper we develop an exponentially fitted finite element method for a singularly perturbed advection-diffusion problem with parallel to coordinate axes (cf., for example, [6])