On the Stability of ContinuousaDiscontinuous Galerkin Methods for AdvectionaDiffusionaReaction Problems

We consider a finite element method which couples the continuous Galerkin method away from internal and boundary layers with a discontinuous Galerkin method in the vicinity of layers. We prove that this consistent method is stable in the streamline diffusion norm if the convection field flows non-ch...

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Bibliographic Details
Published inJournal of scientific computing Vol. 57; no. 2; pp. 313 - 330
Main Authors Cangiani, Andrea, Chapman, John, Georgoulis, Emmanuil, Jensen, Max
Format Journal Article
LanguageEnglish
Published 01.11.2013
Subjects
Convection
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Summary:We consider a finite element method which couples the continuous Galerkin method away from internal and boundary layers with a discontinuous Galerkin method in the vicinity of layers. We prove that this consistent method is stable in the streamline diffusion norm if the convection field flows non-characteristically from the region of the continuous Galerkin to the region of the discontinuous Galerkin method. The stability properties of the coupled method are illustrated with a numerical experiment.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-013-9707-y