1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Numerical Methods for the Nonlocal Wave Equation of the Peridynamics
Giuseppe Maria Coclite, Alessandro Fanizzi, Luciano Lopez +2
In this paper we will consider the peridynamic equation of motion which is described by a second order in time partial integro-differential equation. This equation has recently rec…
Mimetic Finite Difference methods for Hamiltonian wave equations in 2D
Lourenco Beirao da Veiga, Luciano Lopez, Giuseppe Vacca
In this paper we consider the numerical solution of the Hamiltonian wave equation in two spatial dimension. We use the Mimetic Finite Difference (MFD) method to approximate the con…