14 citations · 56 across the 19 of their papers we have counts for
7 papers · 2 filters
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…
Biochemical pathways simulation
Andrea Cangiani
In this short note we review deterministic simulation of biochemical pathways, i.e. networks of biochemical reactions obeying the law of mass action. It is meant as a basis for the…
On low order mimetic finite difference methods
Andrea Cangiani
These pages review two families of mimetic finite difference methods: the mixed-type methods presented in [Brezzi, Lipnikov, and Simoncini, M3AS, 2005] and the nodal methods of [Br…
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…