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20192022
most citedComparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems

27 citations · 27 across the 10 of their papers we have counts for

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9 papers · 1 filter

math.NA2022

Weak scalability of domain decomposition methods for discrete fracture networks

Stefano Berrone, Tommaso Vanzan

Discrete Fracture Networks (DFNs) are complex three-dimensional structures characterized by the intersections of planar polygonal fractures, and are used to model flows in fracture…

math.NA2022

A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions

Stefano Berrone, Denise Grappein, Stefano Scialò

A numerical method for coupled 3D-1D problems with discontinuous solutions at the interfaces is derived and discussed. This extends a previous work on the subject where only contin…

math.NA202227 cited

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…

math.NA2021

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…

math.NA2021

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…

math.NA2020

An optimization approach for flow simulations in poro-fractured media with complex geometries

Stefano Berrone, Alessandro D'Auria, Stefano Scialo'

A new discretization approach is presented for the simulation of flow in complex poro-fractured media described by means of the Discrete Fracture and Matrix Model. The method is ba…