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Continuous–discontinuous finite element method for convection-diffusion problems with characteristic layers

✍ Scribed by Helena Zarin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
658 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 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.

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