Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Stefano Berrone"'
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 6, Pp 1-32 (2023)
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 the performance of different approaches which are characterized by diffe
Externí odkaz:
https://doaj.org/article/2cda8ad3ea494d059fa7811d58a4aec6
Publikováno v:
MethodsX, Vol 8, Iss , Pp 101398- (2021)
The numerical simulation of phenomena such as subsurface fluid flow or rock deformations are based on geological models, where volumes are typically defined through stratigraphic surfaces and faults, which constitute the geometric constraints, and th
Externí odkaz:
https://doaj.org/article/4d647b7ca7484e2baeec104acc374e68
Autor:
Stefano Berrone, Francesco Della Santa, Antonio Mastropietro, Sandra Pieraccini, Francesco Vaccarino
Publikováno v:
Mathematics, Vol 10, Iss 5, p 786 (2022)
In this work, we extend the formulation of the spatial-based graph convolutional networks with a new architecture, called the graph-informed neural network (GINN). This new architecture is specifically designed for regression tasks on graph-structure
Externí odkaz:
https://doaj.org/article/266bb7d2f9c44ffa897c63bb36f8eb84
Autor:
Stefano Berrone, Francesco Della Santa
Publikováno v:
Geosciences, Vol 11, Iss 3, p 131 (2021)
In this work, we investigate the sensitivity of a family of multi-task Deep Neural Networks (DNN) trained to predict fluxes through given Discrete Fracture Networks (DFNs), stochastically varying the fracture transmissivities. In particular, detailed
Externí odkaz:
https://doaj.org/article/50210fbb44eb41f1ab5d6a87dc2de29b
Publikováno v:
SIAM Journal on Numerical Analysis. 61:223-249
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 system of equations stemming from the lowest order $C^0$-conforming Virtual
Publikováno v:
ANNALI DELL'UNIVERSITA' DI FERRARA. 68:575-595
We consider the discretization of elliptic boundary-value problems by variational physics-informed neural networks (VPINNs), in which test functions are continuous, piecewise linear functions on a triangulation of the domain. We define an a posterior
Autor:
Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo
Publikováno v:
Calcolo. 60
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) for high values of polynomial degree and in presence of badly-shaped
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70c5410b3d77e8e2e1ff57af351dcb0f
Autor:
Steffen Weisser, Stefano Berrone, Andrea Borio, Marco Verani, Paola F. Antonietti, Alessandro D'Auria
Publikováno v:
IMA Journal of Numerical Analysis. 42:1273-1312
We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we introduce a quasi-interpolant operator and exploit its approximation