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On the stability of continuous–discontinuous Galerkin methods for advection–diffusion–reaction problems
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posted on 2023-06-15, 14:55 authored by Andrea Cangiani, John Chapman, Emmanuil Georgoulis, Max JensenWe 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.
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- Published
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- Published version
Journal
Journal of Scientific ComputingISSN
0885-7474Publisher
SpringerExternal DOI
Issue
2Volume
57Page range
313-330Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2013-10-07First Compliant Deposit (FCD) Date
2013-10-07Usage metrics
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