396 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR154 papers
- Paris-Est SupFR126 papers
- École nationale des ponts et chausséesFR92 papers
- CERMICSFR71 papers
- Institut national de recherche en sciences et technologies du numériqueFR64 papers
- Laboratoire d'Informatique Gaspard-MongeFR46 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR44 papers
- Université Paris-Est CréteilFR40 papers
- Université Paris-Est Marne-la-ValléeFR39 papers
- Laboratoire NavierFR33 papers
- Laboratoire Modélisation et Simulation Multi-EchelleFR29 papers
- Université Paris DiderotFR15 papers
19 papers · 1 filter
Localised Wannier functions in metallic systems
Horia Cornean, David Gontier, Antoine Levitt +1
The existence and construction of exponentially localised Wannier functions for insulators is a well-studied problem. In comparison, the case of metallic systems has been much less…
Permeability of porous foamy materials
V. Langlois, V. H. Trinh, C. Lusso +4
In this paper, we study the effects of both the amount of open cell walls and their aperture sizes on solid foams permeability. FEM flow simulations are performed at both pore and…
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
Thomas Boiveau, Virginie Ehrlacher, Alexandre Ern +1
We devise a space-time tensor method for the low-rank approximation of linear parabolic evolution equations. The proposed method is a stable Galerkin method, uniformly in the discr…
A Hybrid High-Order method for highly oscillatory elliptic problems
Matteo Cicuttin, Alexandre Ern, Simon Lemaire
We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are poly…
Hybrid High-Order methods for finite deformations of hyperelastic materials
Mickaël Abbas, Alexandre Ern, Nicolas Pignet
We devise and evaluate numerically Hybrid High-Order (HHO) methods for hyperelastic materials undergoing finite deformations. The HHO methods use as discrete unknowns piecewise pol…
Bounding the size of an almost-equidistant set in Euclidean space
Andrey Kupavskii, Nabil H. Mustafa, Konrad J. Swanepoel
A set of points in d-dimensional Euclidean space is almost equidistant if among any three points of the set, some two are at distance 1. We show that an almost-equidistant set in $…
Longtime convergence of the Temperature-Accelerated Molecular Dynamics Method
Gabriel Stoltz, Eric Vanden-Eijnden
The equations of the temperature-accelerated molecular dynamics (TAMD) method for the calculations of free energies and partition functions are analyzed. Specifically, the exponent…
Generalized Grünbaum inequality
M. Meyer, F. Nazarov, D. Ryabogin +1
Let be an integrable log-concave function on with the center of mass at the origin. We show that $\int\limits_0^{\infty}f(sθ)ds\ge e^{-n}\int\limits_{-\infty}^{…
Perceptual Adversarial Networks for Image-to-Image Transformation
Chaoyue Wang, Chang Xu, Chaohui Wang +1
In this paper, we propose a principled Perceptual Adversarial Networks (PAN) for image-to-image transformation tasks. Unlike existing application-specific algorithms, PAN provides…
Equilibrium large deviations for mean-field systems with translation invariance
Julien Reygner
We consider particle systems with mean-field interactions whose distribution is invariant by translations. Under the assumption that the system seen from its centre of mass be reve…
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
Boumediene Nedjar, Herbert Baaser, Robert J. Martin +1
We investigate a finite element formulation of the exponentiated Hencky-logarithmic model whose strain energy function is given by \[ W_\mathrm{eH}(\boldsymbol{F}) = \dfracμ{k}\, e…
Coupled elasticity in soft solid foams
François Gorlier, Yacine Khidas, Olivier Pitois
Elasticity of soft materials can be greatly influenced by the presence of air bubbles. Such a capillary effect is expected for a wide range of materials, from polymer gels to conce…
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities
Anthony Nouy, Florent Pled
A multiscale numerical method is proposed for the solution of semi-linear elliptic stochastic partial differential equations with localized uncertainties and non-linearities, the u…
Optimal strengthening of particle-loaded liquid foams
François Gorlier, Yacine Khidas, Abdoulaye Fall +1
Foams made of complex fluids such as particle suspensions have a great potential for the development of advanced aerated materials. In this paper we study the rheological behavior…
Equilibrated flux a posteriori error estimates in -norms for high-order discretizations of parabolic problems
Alexandre Ern, Iain Smears, Martin Vohralik
We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming -finite element methods in space and an arbitrary order d…
Subset Synchronization in Monotonic Automata
Andrew Ryzhikov, Anton Shemyakov
We study extremal and algorithmic questions of subset and careful synchronization in monotonic automata. We show that several synchronization problems that are hard in general auto…
Convergence rates for nonequilibrium Langevin dynamics
Alessandra Iacobucci, Stefano Olla, Gabriel Stoltz
We study the exponential convergence to the stationary state for nonequilibrium Langevin dynamics, by a perturbative approach based on hypocoercive techniques developed for equilib…
A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids
Sébastien Boyaval
Saint-Venant equations can be generalized to account for a viscoelastic rheology in shallow flows. A Finite-Volume discretization for the 1D Saint-Venant system generalized to Uppe…
Stable broken and polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions
Alexandre Ern, Martin Vohralík
We study extensions of piecewise polynomial data prescribed on faces and possibly in elements of a patch of simplices sharing a vertex. In the setting, we look for functions…