22 citations · 39 across the 7 of their papers we have counts for
8 papers
Strongly non-linear continuous model for wave propagation in 2D granular media: derivation and hyperbolicity analysis
Sebastiano Cominelli, Régis Cottereau, Sergey Gavrilyuk +2
In this work, we develop a nonlinear continuum model for wave propagation in two-dimensional granular materials, building on key ideas from Nesterenko's work. Starting from the Her…
Multi-level Neural Networks for Accurate Solutions of Boundary-Value Problems
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their…
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab
Adel Messaoudi, Régis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scatterin…
Operator approximation of the wave equation based on deep learning of Green's function
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
Deep operator networks (DeepONets) have demonstrated their capability of approximating nonlinear operators for initial- and boundary-value problems. One attractive feature of DeepO…
Boundary effects in Radiative Transfer of acoustic waves in a randomly fluctuating half-space
Adel Messaoudi, Regis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study…
Crossover Between Quantum and Classical Waves and High Frequency Localization Landscapes
David Colas, Cédric Bellis, Bruno Lombard +1
Anderson localization is a universal interference phenomenon occurring when a wave evolves through a random medium and it has been observed in a great variety of physical systems,…
On damping created by heterogeneous yielding in the numerical analysis of nonlinear reinforced concrete frame elements
Pierre Jehel, Régis Cottereau
In the dynamic analysis of structural engineering systems, it is common practice to introduce damping models to reproduce experimentally observed features. These models, for instan…
Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media
Ibrahim Baydoun, Éric Savin, Régis Cottereau +2
In this paper we develop a multiple scattering model for elastic waves in random anisotropic media. It relies on a kinetic approach of wave propagation phenomena pertaining to the…