1 citations · 1 across the 8 of their papers we have counts for
11 papers
Physics Informed Neural Networks for Learning the Horizon Size in Bond-Based Peridynamic Models
Fabio V. Difonzo, Luciano Lopez, Sabrina F. Pellegrino
This paper broaches the peridynamic inverse problem of determining the horizon size of the kernel function in a one-dimensional model of a linear microelastic material. We explore…
A spectral method for dispersive solutions of the nonlocal Sine-Gordon equation
A. Coclite, L. Lopez, S. F. Pellegrino
Moved by the need for rigorous and reliable numerical tools for the analysis of peridynamic materials, the authors propose a model able to capture the dispersive features of nonloc…
Convergence Analysis of a Spectral Numerical Method for a Peridynamic Formulation of Richards' Equation
Fabio V. Difonzo, Sabrina F. Pellegrino
We study the implementation of a Chebyshev spectral method with forward Euler integrator to investigate a peridynamic nonlocal formulation of Richards' equation. We prove the conve…
Physics Informed Neural Networks for an Inverse Problem in Peridynamic Models
Fabio Vito Difonzo, Luciano Lopez, Sabrina Francesca Pellegrino
Deep learning is a powerful tool for solving data driven differential problems and has come out to have successful applications in solving direct and inverse problems described by…
A filtered Chebyshev spectral method for conservation laws on network
Sabrina Francesca Pellegrino
We propose a spectral method based on the implementation of Chebyshev polynomials to study a model of conservation laws on network. We avoid the Gibbs phenomenon near shock discont…
A Numerical Method for a Nonlocal Form of Richards' Equation Based on Peridynamic Theory
M. Berardi, F. V. Difonzo, S. F. Pellegrino
Forecasting water content dynamics in heterogeneous porous media has significant interest in hydrological applications; in particular, the treatment of infiltration when in presenc…