3 papers
math.NA2022
A fast-convolution based space-time Chebyshev spectral method for peridynamic models
Luciano Lopez, Sabrina Francesca Pellegrino
Peridynamics is a nonlocal generalization of continuum mechanics theory which adresses discontinuous problems without using partial derivatives and replacing its by an integral ope…
math.NA2021
Computation of Eigenvalues for Nonlocal Models by Spectral Methods
Luciano Lopez, Sabrina Francesca Pellegrino
The purpose of this work is to study spectral methods to approximate the eigenvalues of nonlocal integral operators. Indeed, even if the spatial domain is an interval, it is very c…
math.NA2021
A space-time discretization of a nonlinear peridynamic model on a 2D lamina
Luciano Lopez, Sabrina Francesca Pellegrino
Peridynamics is a nonlocal theory for dynamic fracture analysis consisting in a second order in time partial integro-differential equation. In this paper, we consider a nonlinear m…