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On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems
journal contributionposted on 2016-12-06, 15:29 authored by Andrea Cangiani, J. Chapman, Emmanuil Georgoulis, M. Jensen
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.
CitationJournal of Scientific Computing, 2013, 57 (2), pp. 313-330
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)