27 citations · 28 across the 4 of their papers we have counts for
6 papers · 1 filter
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems
Stefano Berrone, Andrea Borio, Francesca Marcon
In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (EVEM) with the focus on s…
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics
Andrea Borio, François Hamon, Nicola Castelletto +2
We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that…
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
M. F. Benedetto, A. Borio, F. Kyburg +2
Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium.…
Anisotropic a posteriori error estimate for the Virtual Element Method
Paola Francesca Antonietti, Stefano Berrone, Andrea Borio +3
We derive an anisotropic a posteriori error estimate for the adaptive conforming Virtual Element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we…
Refinement strategies for polygonal meshes applied to adaptive VEM discretization
Stefano Berrone, Andrea Borio, Alessandro D'Auria
In the discretization of differential problems on complex geometrical domains, discretization methods based on polygonal and polyhedral elements are powerful tools. Adaptive mesh r…
Analysis of conforming, non-matching, and polygonal methods for Darcy and advection-diffusion-reaction simulations in discrete fracture networks
Andrea Borio, Alessio Fumagalli, Stefano Scialò
The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the Discrete Fracture Net…