75 citations · 369 across the 32 of their papers we have counts for
7 papers · 1 filter
A new quality preserving polygonal mesh refinement algorithm for Virtual Element Methods
Stefano Berrone, Alessandro D'Auria
Mesh adaptivity is a useful tool for efficient solution to partial differential equations in very complex geometries. In the present paper we discuss the use of polygonal mesh refi…
Agglomeration-based geometric multigrid schemes for the Virtual Element Method
Paola Francesca Antonietti, Stefano Berrone, Martina Busetto +1
In this paper we analyse the convergence properties of two-level, W-cycle and V-cycle agglomeration-based geometric multigrid schemes for the numerical solution of the linear syste…
Variational Physics Informed Neural Networks: the role of quadratures and test functions
Stefano Berrone, Claudio Canuto, Moreno Pintore
In this work we analyze how quadrature rules of different precisions and piecewise polynomial test functions of different degrees affect the convergence rate of Variational Physics…
Efficient partitioning and reordering of conforming virtual element discretizations for large scale Discrete Fracture Network flow parallel solvers
Stefano Berrone, Alice Raeli
Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficien…
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Stefano Berrone, Denise Grappein, Stefano Scialò +1
Coupled 3D-1D problems arise in many practical applications, in an attempt to reduce the computational burden in simulations where cylindrical inclusions with a small section are e…
Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
Stefano Berrone, Andrea Borio, Francesca Marcon
We introduce and analyse the first order Enlarged Enhancement Virtual Element Method (EVEM) for the Poisson problem. The method allows the definition of bilinear forms that do…