Cangiani, Andrea, Chapman, John, Georgoulis, Emmanuil and Jensen, Max (2013) On the stability of continuous–discontinuous Galerkin methods for advection–diffusion–reaction problems. Journal of Scientific Computing, 57 (2). pp. 313-330. ISSN 0885-7474

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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.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User:	Max Jensen
Date Deposited:	07 Oct 2013 10:44
Last Modified:	02 Jul 2019 22:50
URI:	http://sro.sussex.ac.uk/id/eprint/46592

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