Implementation of the Continuous-Discontinuous Galerkin Finite Element Method [chapter]

A. Cangiani, J. Chapman, E. H. Georgoulis, M. Jensen
2012 Numerical Mathematics and Advanced Applications 2011  
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 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
more » ... ntation of this method using the finite element library deal.ii and present some numerical experiments.
doi:10.1007/978-3-642-33134-3_34 fatcat:nskodlrzizfzhbervkcqn3dpba