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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  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 thedoi:10.1007/978-3-642-33134-3_34 fatcat:nskodlrzizfzhbervkcqn3dpba