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

Helena Zarin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 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.

Original languageEnglish (US)
Pages (from-to)626-636
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume231
Issue number2
DOIs
StatePublished - Sep 15 2009
Externally publishedYes

Keywords

  • Characteristic layers
  • Discontinuous Galerkin method
  • Post-processing
  • Singularly perturbed problem

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