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On the stability of continuous–discontinuous Galerkin methods for advection–diffusion–reaction problems

journal contribution
posted on 2023-06-15, 14:55 authored by Andrea Cangiani, John Chapman, Emmanuil Georgoulis, Max 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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of Scientific Computing

ISSN

0885-7474

Publisher

Springer

Issue

2

Volume

57

Page range

313-330

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-10-07

First Compliant Deposit (FCD) Date

2013-10-07

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