Implementation of the Continuous-Discontinuous Galerkin Finite Element Method

A. Cangiani (), J. Chapman (), E. H. Georgoulis () and M. Jensen ()
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A. Cangiani: University of Leicester, Department of Mathematics
J. Chapman: Durham University, Department of Mathematics
E. H. Georgoulis: University of Leicester, Department of Mathematics
M. Jensen: Durham University, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 315-322 from Springer

Abstract: Abstract For the stationary advection-diffusion problem the standard continuous Galerkin method is unstable without some additional control on the mesh or method. The interior penalty discontinuous Galerkin method is more stable but at the expense of an increased number of degrees of freedom. The hybrid method proposed in [5] combines the computational complexity of the continuous method with the stability of the discontinuous method without a significant increase in degrees of freedom. We discuss the implementation of this method using the finite element library deal.ii and present some numerical experiments.

Keywords: Discontinuous Galerkin Method; Solid Fluid Interaction; Finite Element Type; Continuous Galerkin Method; Admissible Collection (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_34

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DOI: 10.1007/978-3-642-33134-3_34

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