75 citations · 369 across the 32 of their papers we have counts for
5 papers · 1 filter
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…