6 citations · 20 across the 11 of their papers we have counts for
13 papers
The Zipped Finite Element Method on polyhedral meshes
Stefano Berrone, Gioana Teora
We extend the high-order Zipped Finite Element Method to three-dimensional polyhedral elements. The construction relies on a local sub-tetrahedralization obtained by triangulating…
Hydro-mechanical Model for Slope Stability Assessment: A polygonal stabilization-free discretization
Stefano Berrone, Francesca Marcon, Gioana Teora
Rainfall-induced landslides are governed by the interaction between subsurface water flow and soil mechanics, requiring robust numerical methods for the simulation of variably satu…
Two continuous extensions of the Neural Approximated Virtual Element Method
Stefano Berrone, Moreno Pintore, Gioana Teora
We propose two globally continuous neural-based variants of the Neural Approximated Virtual Element Method (NAVEM), termed B-NAVEM and P-NAVEM. Both approaches construct local basi…
The Zipped Finite Element Method: High-order Shape Functions for Polygons
Stefano Berrone, Lorenzo Neva, Moreno Pintore +2
In this paper, we present a new polygonal finite element method, called the Zipped Finite Element Method, for star-shaped polygons. The proposed approach constructs high-order shap…
The Neural Approximated Virtual Element Method for Elasticity Problems
Stefano Berrone, Moreno Pintore, Gioana Teora
We present the Neural Approximated Virtual Element Method to numerically solve elasticity problems. This hybrid technique combines classical concepts from the Finite Element Method…
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 3D-1D Virtual Element Method for Modeling Root Water Uptake
Stefano Berrone, Stefano Ferraris, Denise Grappein +2
An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This st…
The lowest-order Neural Approximated Virtual Element Method on polygonal elements
Stefano Berrone, Moreno Pintore, Gioana Teora
The lowest-order Neural Approximated Virtual Element Method on polygonal elements is proposed here. This method employs a neural network to locally approximate the Virtual Element…
The lowest-order Neural Approximated Virtual Element Method
Stefano Berrone, Davide Oberto, Moreno Pintore +1
We introduce the Neural Approximated Virtual Element Method, a novel polygonal method that relies on neural networks to eliminate the need for projection and stabilization operator…
The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
Stefano Berrone, Stefano Scialò, Gioana Teora
In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze th…
Orthogonal polynomial bases in the Mixed Virtual Element Method
Stefano Berrone, Stefano Scialò, Gioana Teora
The use of orthonormal polynomial bases has been found to be efficient in preventing ill-conditioning of the system matrix in the primal formulation of Virtual Element Methods (VEM…
Improving high-order VEM stability on badly-shaped elements
Stefano Berrone, Gioana Teora, Fabio Vicini
For the 2D and 3D Virtual Element Methods (VEM), a new approach to improve the conditioning of local and global matrices in the presence of badly-shaped polytopes is proposed. It d…
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…