14 citations · 56 across the 19 of their papers we have counts for
22 papers
Conforming Virtual Element Method for Biharmonic Poisson-Nernst-Planck Navier-Stokes systems
Ankur Ankur, Andrea Cangiani
We develop and analyze a conforming Virtual Element Method (VEM) for the fourth-order Poisson-Nernst-Planck-Navier-Stokes (PNP-NS) system. The proposed scheme is based on compatibl…
An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations
Tiffany Barry, Andrea Cangiani, Samuel P. Cox +1
We present new aposteriori error estimates for the interior penalty discontinuous Galerkin method applied to non-stationary convection-diffusion equations. The focus is on strongly…
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients
Guillaume Bonnet, Andrea Cangiani, Ricardo H. Nochetto
We propose and analyze an -conforming Virtual Element Method (VEM) for the simplest linear elliptic PDEs in nondivergence form with Cordes coefficients. The VEM hinges on a hi…
A comparison of non-matching techniques for the finite element approximation of interface problems
Daniele Boffi, Andrea Cangiani, Marco Feder +2
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibl…
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We present a new residual-type energy-norm a posteriori error analysis for interior penalty discontinuous Galerkin (dG) methods for linear elliptic problems. The new error bounds a…
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods
Andrea Cangiani, Emmanuil H. Georgoulis, Oliver J. Sutton
We present a posteriori error estimates for inconsistent and non-hierarchical Galerkin methods for linear parabolic problems, allowing them to be used in conjunction with very gene…
-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We extend the applicability of the popular interior-penalty discontinuous Galerkin (dG) method discretizing advection-diffusion-reaction problems to meshes comprising extremely gen…
A posteriori error estimates for mixed virtual element methods
Andrea Cangiani, Mauricio Munar
We present an a posteriori error analysis for the mixed virtual element method (mixed VEM) applied to second order elliptic equations in divergence form with mixed boundary conditi…
Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework
Andrea Cangiani, Emmanuil H. Georgoulis, Andrew Yu. Morozov +1
Understanding how patterns and travelling waves form in chemical and biological reaction-diffusion models is an area which has been widely researched, yet is still experiencing fas…
Virtual Element Method for Quasilinear Elliptic Problems
Andrea Cangiani, Panagiotis Chatzipantelidis, Ganesh Diwan +1
We present a Virtual Element Method (VEM) for the solution of Dirichlet problems for the quasilinear equation with essential boundary conditions…
The non-conforming virtual element method for the Stokes equations
Andrea Cangiani, Vitaliy Gyrya, Gianmarco Manzini
We present the non-conforming Virtual Element Method (VEM) for the numerical approximation of velocity and pressure in the steady Stokes problem. The pressure is approximated using…
Right orthogonal class of pure projective modules over pure hereditary rings
Umamaheswaran Arunachalam, Udhayakumar Ramalingam, Selvaraj Chelliah +1
We denote by the class of all pure projective modules. Present article we investigate -injective modules and these modules are defined via the vanishing…
A posteriori error estimates for the virtual element method
Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer +1
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies o…
Conforming and nonconforming virtual element methods for elliptic problems
Andrea Cangiani, Gianmarco Manzini, Oliver J. Sutton
We present in a unified framework new conforming and nonconforming Virtual Element Methods (VEM) for general second order elliptic problems in two and three dimensions. The differe…
Adaptivity and blow-up detection for nonlinear evolution problems
Andrea Cangiani, Emmanuil H. Georgoulis, Irene Kyza +1
This work is concerned with the development of a space-time adaptive numerical method, based on a rigorous a posteriori error bound, for a semilinear convection-diffusion problem w…
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…