69 citations · 229 across the 40 of their papers we have counts for
7 papers · 2 filters
Convergence of a discontinuous Galerkin multiscale method
Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist +1
A convergence result for a discontinuous Galerkin multiscale method for a second order elliptic problem is presented. We consider a heterogeneous and highly varying diffusion coeff…
An a posteriori error estimator for discontinuous Galerkin methods for non-stationary convection-diffusion problems
Andrea Cangiani, Emmanuil H. Georgoulis, Stephen Metcalfe
This work is concerned with the derivation of a robust a posteriori error estimator for a discontinuous Galerkin method discretisation of linear non-stationary convection-diffusion…
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…
Discontinuous Galerkin Methods for Mass Transfer through Semi-Permeable Membranes
Andrea Cangiani, Emmanuil H. Georgoulis, Max Jensen
A discontinuous Galerkin (dG) method for the numerical solution of initial/boundary value multi-compartment partial differential equation (PDE) models, interconnected with interfac…
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…
Multilevel Sparse Kernel-Based Interpolation
Emmanuil H. Georgoulis, Jeremy Levesley, Fazli Subhan
A multilevel kernel-based interpolation method, suitable for moderately high-dimensional function interpolation problems, is proposed. The method, termed multilevel sparse kernel-b…
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…