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. © 2013 Springer Science+Business Media New York.
On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems / Cangiani, A.; Chapman, J.; Georgoulis, E.; Jensen, M.. - In: JOURNAL OF SCIENTIFIC COMPUTING. - ISSN 0885-7474. - 57:2(2013), pp. 313-330. [10.1007/s10915-013-9707-y]
On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems
Cangiani A.;
2013-01-01
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. © 2013 Springer Science+Business Media New York.| File | Dimensione | Formato | |
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