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Title: On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems
Authors: Cangiani, Andrea
Chapman, J.
Georgoulis, Emmanuil
Jensen, M.
First Published: 11-Apr-2013
Publisher: Springer Verlag (Germany)
Citation: Journal of Scientific Computing, 2013, 57 (2), pp. 313-330
Abstract: 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.
DOI Link: 10.1007/s10915-013-9707-y
ISSN: 0885-7474
eISSN: 1573-7691
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Creative Commons “Attribution Non-Commercial No Derivatives” licence CC BY-NC-ND, further details of which can be found via the following link: Archived with reference to SHERPA/RoMEO and publisher website.
Appears in Collections:Published Articles, Dept. of Mathematics

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