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Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system

Virginie Ehrlacher , Greta Marino , Jan-Frederik Pietschmann
Journal of Differential Equations, 2021, 286, pp.578-623
Journal articles hal-02888479v1
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Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods

Thomas Boiveau , Virginie Ehrlacher , Alexandre Ern , Anthony Nouy
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (2), pp.635-658. ⟨10.1051/m2an/2018073⟩
Journal articles hal-01668316v2
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SoTT: greedy approximation of a tensor as a sum of Tensor Trains

Virginie Ehrlacher , Maria Fuente-Ruiz , Damiano Lombardi
SIAM Journal on Scientific Computing, 2022, 44 (2), ⟨10.1137/20M1381472⟩
Journal articles hal-03018646v3

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

Virginie Ehrlacher , Damiano Lombardi , Olga Mula , François-Xavier Vialard
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, ⟨10.1051/m2an/2020013⟩
Journal articles hal-02290431v1
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Finite Volumes for the Stefan-Maxwell Cross-Diffusion System

Clément Cancès , Virginie Ehrlacher , Laurent Monasse
IMA Journal of Numerical Analysis, 2023, ⟨10.1093/imanum/drad032⟩
Journal articles hal-02902672v2
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Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry

Maxime Dalery , Geneviève Dusson , Virginie Ehrlacher , Alexei Lozinski
Preprints, Working Papers, ... hal-04131764v2
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Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks

Mathias Dus , Virginie Ehrlacher
Preprints, Working Papers, ... hal-04089961v2

Greedy algorithms for high-dimensional non-symmetric linear problems

Eric Cancès , Virginie Ehrlacher , Tony Lelièvre
ESAIM: Proceedings and Surveys, 2013, CANUM 2012, 41e Congrès National d'Analyse Numérique 41, pp.95 - 131. ⟨10.1051/proc/201341005⟩
Journal articles hal-00745611v1
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A dynamical adaptive tensor method for the Vlasov-Poisson system

Virginie Ehrlacher , Damiano Lombardi
Journal of Computational Physics, 2017, 319, pp.285-306. ⟨10.1016/⟩
Journal articles hal-01335507v1

An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm
Comptes Rendus. Mathématique, 2015, 353 (9), pp.801-806. ⟨10.1016/j.crma.2015.06.019⟩
Journal articles hal-01100681v1
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Deep learning-based schemes for singularly perturbed convection-diffusion problems

Adrien Beguinet , Virginie Ehrlacher , Roberta Flenghi , Maria Fuente-Ruiz , Olga Mula , et al.
Preprints, Working Papers, ... hal-03664049v1
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Réduction de modèles pour les inéquations variationnelles

Idrissa Niakh , Alexandre Ern , Virginie Ehrlacher , Guillaume Drouet
15e colloque national en calcul des structures, Université Polytechnique Hauts-de-France [UPHF], May 2022, Hyères-les-Palmiers, France
Conference papers hal-03717692v1
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Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system

Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner
Preprints, Working Papers, ... hal-03441986v2
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Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface

Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher
Preprints, Working Papers, ... hal-04050166v4
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Méthodes MsFEM pour les plaques hétérogènes

Sébastien Brisard , Virginie Ehrlacher
CFM 2019 - 24ème Congrès Français de Mécanique, Aug 2019, Brest, France
Conference papers hal-02274963v1
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Numerical reconstruction of the first band(s) in an inverse Hill's problem

Athmane Bakhta , Virginie Ehrlacher , David Gontier
ESAIM: Control, Optimisation and Calculus of Variations, 2020, ⟨10.1051/cocv/2019031⟩
Journal articles hal-01591133v1
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Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias

Virginie Ehrlacher , Tony Lelièvre , Pierre Monmarché
Annals of Applied Probability, 2022, 32 (5), ⟨10.1214/21-AAP1775⟩
Journal articles hal-02314426v3
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A Wasserstein-type metric for generic mixture models, including location-scatter and group invariant measures

Geneviève Dusson , Virginie Ehrlacher , Nathalie Nouaime
Preprints, Working Papers, ... hal-03946436v1
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Tensor approximation of the self-diffusion matrix of tagged particle processes

Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner
Preprints, Working Papers, ... hal-03635205v2
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Cross-diffusion systems with non-zero flux and moving boundary conditions

Athmane Bakhta , Virginie Ehrlacher
ESAIM: Mathematical Modelling and Numerical Analysis, 2018
Journal articles hal-01397682v2
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A reduced basis method for parametrized variational inequalities applied to contact mechanics

Amina Benaceur , Alexandre Ern , Virginie Ehrlacher
International Journal for Numerical Methods in Engineering, 2019, ⟨10.1002/nme.6261⟩
Journal articles hal-02081485v3
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Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations

Yonah Conjungo Taumhas , Geneviève Dusson , Virginie Ehrlacher , Tony Lelièvre , François Madiot
Preprints, Working Papers, ... cea-04156959v1
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A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems

Amina Benaceur , Virginie Ehrlacher , Alexandre Ern , Sébastien Meunier
SIAM Journal on Scientific Computing, 2018, 40 (5), pp.A2930-A2955
Journal articles hal-01599304v4
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An embedded corrector problem for homogenization. Part II: Algorithms and discretization

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm , Shuyang Xiang
Journal of Computational Physics, 2020, 407, pp.109254. ⟨10.1016/⟩
Journal articles hal-01903486v1
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Propagation des incertitudes sur des problèmes de l'obstacle en grande dimension

Virginie Ehrlacher
Journées MAS Bordeaux, Oct 2014, Bordeaux, France
Conference papers inria-00510254v1

Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method

Eric Cancès , Virginie Ehrlacher , Yvon Maday
Numerische Mathematik, 2014, 128 (4), pp 663-706. ⟨10.1007/s00211-014-0626-0⟩
Journal articles hal-00694017v1
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Statistical methods for critical scenarios in aeronautics

Houssam Alrachid , Virginie Ehrlacher , Alexis A. Marceau , Karim Tekkal
ESAIM: Proceedings and Surveys, 2015, 48, pp.262-275. ⟨10.1051/proc/201448012⟩
Journal articles hal-01435972v1

Convergence of a greedy algorithm for high-dimensional convex nonlinear problems

Eric Cancès , Virginie Ehrlacher , Tony Lelièvre
Mathematical Models and Methods in Applied Sciences, 2011, 21 (12), pp.2433-2467. ⟨10.1142/S0218202511005799⟩
Journal articles hal-00469622v1
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Adaptive hierarchical subtensor partitioning for tensor compression

Virginie Ehrlacher , Laura Grigori , Damiano Lombardi , Hao Song
SIAM Journal on Scientific Computing, 2021, ⟨10.1137/19M128689X⟩
Journal articles hal-02284456v1
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Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain

Athmane Bakhta , Virginie Ehrlacher
ESAIM: Mathematical Modelling and Numerical Analysis, In press
Journal articles hal-01238636v1