8 citations · 14 across the 3 of their papers we have counts for
3 papers
On the Stability of Continuous-Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
Andrea Cangiani, John Chapman, Emmanuil Georgoulis +1
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 laye…
On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods
Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis +1
We prove in an abstract setting that standard (continuous) Galerkin finite element approximations are the limit of interior penalty discontinuous Galerkin approximations as the pen…
Implementation of the Continuous-Discontinuous Galerkin Finite Element Method
Andrea Cangiani, John Chapman, Emmanuil Georgoulis +1
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 disco…