4 citations · 6 across the 7 of their papers we have counts for
6 papers · 1 filter
POLYDIM: A C++ library for POLYtopal DIscretization Methods
Stefano Berrone, Andrea Borio, Gioana Teora +1
This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. Th…
A stabilized three fields formulation for Discrete Fracture Networks
Stefano Berrone, Silvia Bertoluzza, Stefano Scialò
We propose a hybridized domain decomposition formulation of the discrete fracture network model, allowing for independent discretization of the individual fractures. A natural norm…
Effective polygonal mesh generation and refinement for VEM
Stefano Berrone, Fabio Vicini
In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorit…
A first-order stabilization-free Virtual Element Method
Stefano Berrone, Andrea Borio, Francesca Marcon +1
In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a mo…
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
Tommaso Sorgente, Fabio Vicini, Stefano Berrone +3
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to a discrete problem defined over a polygonal tessellation with the Vi…
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…