On the Stability of Continuous-Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
Numerical Analysis
2012-11-06 v1
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 by numerical experiments.
Keywords
Cite
@article{arxiv.1211.0907,
title = {On the Stability of Continuous-Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems},
author = {Andrea Cangiani and John Chapman and Emmanuil Georgoulis and Max Jensen},
journal= {arXiv preprint arXiv:1211.0907},
year = {2012}
}