output
20102022
most citedProgramming Languages for Scientific Computing

158 citations

24 papers

eess.AS2022★ 16 cited

EBEN: Extreme bandwidth extension network applied to speech signals captured with noise-resilient body-conduction microphones

Julien Hauret, Thomas Joubaud, Véronique Zimpfer +1

In this paper, we present Extreme Bandwidth Extension Network (EBEN), a Generative Adversarial network (GAN) that enhances audio measured with body-conduction microphones. This typ…

math.NA2022★ 5 cited

On single distribution lattice Boltzmann schemes for the approximation of Navier Stokes equations

François Dubois, Pierre Lallemand

In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations wit…

eess.AS2021★ 21 cited

BeamLearning: an end-to-end Deep Learning approach for the angular localization of sound sources using raw multichannel acoustic pressure data

Hadrien Pujol, Éric Bavu, Alexandre Garcia

Sound sources localization using multichannel signal processing has been a subject of active research for decades. In recent years, the use of deep learning in audio signal process…

math.DS2020★ 9 cited

Modal-based synthesis of passive electrical networks for multimodal piezoelectric damping

Ghislain Raze, Jennifer Dietrich, Boris Lossouarn +1

This work presents a new approach to design an electrical network which, when coupled to a structure through an array of piezoelectric transducers, provides multimodal vibration mi…

cs.CE2020★ 67 cited

Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements

Alessandra Vizzaccaro, Arthur Givois, Pierluigi Longobardi +5

Non-intrusive methods have been used since two decades to derive reduced-order models for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness…

math.AP2019★ 2 cited

A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme

Filipa Caetano, François Dubois, Benjamin Graille

We consider a mono-dimensional two-velocities scheme used to approximate the solutions of a scalar hyperbolic conservative partial differential equation. We prove the convergence o…

math.NA2019★ 21 cited

Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes

François Dubois

We propose a formal expansion of multiple relaxation times lattice Boltzmann schemes in terms of a single infinitesimal numerical variable. The result is a system of partial differ…

math.NA2018★ 123 cited

Equivalent partial differential equations of a lattice Boltzmann scheme

François Dubois

We show that when we formulate the lattice Boltzmann equation with a small time step t and an associated space scale x, a Taylor expansion joined with the so-called equivalen…

physics.class-ph2018★ 34 cited

How reproducible are methods to measure the dynamic viscoelastic properties of poroelastic media?

Paolo Bonfiglio, Francesco Pompoli, Kirill V. Horoshenkov +30

There is a considerable number of research publications on the acoustical properties of porous media with an elastic frame. A simple search through the Web of ScienceTM (last acces…

math.NA2018★ 8 cited

Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling

Bruce Boghosian, François Dubois, Benjamin Graille +2

We consider the D1Q3 lattice Boltzmann scheme with an acoustic scale for the simulation of diffusive processes. When the mesh is refined while holding the diffusivity constant, we…

math.NA2018★ 4 cited

Recovering the full Navier Stokes equations with lattice Boltzmann schemes

François Dubois, Benjamin Graille, Pierre Lallemand

We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentu…

math.NA2017

Raviart Thomas Petrov-Galerkin Finite Elements

François Dubois, Isabelle Greff, Charles Pierre

The general theory of Babuška ensures necessary and sufficient conditions for a mixed problem in classical or Petrov-Galerkin form to be well posed in the sense of Hadamard. Moreov…

math.NA2017

Raviart-Thomas finite elements of Petrov-Galerkin type

François Dubois, Isabelle Greff, Charles Pierre

The mixed finite element method for the Poisson problem with the Raviart-Thomas elements of low-level can be interpreted as a finite volume method with a non-local gradient. In thi…

quant-ph2017

Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis

Zeno Toffano, François Dubois

A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating s…

math.NA2015★ 1 cited

Stability of a bidimensional relative velocity lattice Boltzmann scheme

François Dubois, Tony Février, Benjamin Graille

In this contribution, we study the theoretical and numerical stability of a bidimensional relative velocity lattice Boltzmann scheme. These relative velocity schemes introduce a ve…

math.NA2014★ 29 cited

Kron's method and cell complexes for magnetomotive and electromotive forces

Olivier Maurice, Alain Reineix, Philippe Durand +1

Starting from topological principles we first recall the elementary ones giving Kirchhoff's laws for current conservation. Using in a second step the properties of spaning tree, we…

math.NA2014★ 32 cited

On a superconvergent lattice Boltzmann boundary scheme

François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek

In a seminal paper Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the P…

math.NA2014★ 1 cited

Finite volumes and mixed Petrov-Galerkin finite elements : the unidimensional problem

François Dubois

For Laplace operator in one space dimension, we propose to formulate the heuristic finite volume method with the help of mixed Petrov-Galerkin finite elements. Weighting functions…

math.NA2014★ 8 cited

Comparison of Simulations of Convective Flows

Pierre Lallemand, François Dubois

We show that a single particle distribution for the D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection and diffusion of velocity and temperature. We co…

math.NA2013

Lattice Boltzmann schemes with relative velocities

François Dubois, Tony Fevrier, Benjamin Graille

In this contribution, a new class of lattice Boltzmann schemes is introduced and studied. These schemes are presented in a framework that generalizes the multiple relaxation times…

math.NA2013★ 10 cited

Some results on energy-conserving lattice Boltzmann models

Pierre Lallemand, François Dubois

We consider the problem of ''energy conserving'' lattice Boltzmann models. A major difficulty observed in previous studies is the coupling between the viscous and thermal waves eve…

math.AP2013

On hyperbolic systems with entropy velocity covariant under the action of a group

François Dubois

For hyperbolic systems of conservation laws in one space dimension with a mathematical entropy, we define the notion of entropy velocity. Then we give sufficient conditions for suc…

cs.PL2012★ 158 cited

Programming Languages for Scientific Computing

Matthew G. Knepley

Scientific computation is a discipline that combines numerical analysis, physical understanding, algorithm development, and structured programming. Several yottacycles per year on…

math.NA2010★ 17 cited

Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves

François Dubois

We follow the mathematical framework proposed by Bouchut and present in this contribution a dual entropy approach for determining equilibrium states of a lattice Boltzmann scheme.…