Paul Vigneaux

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Présentation

Full Professor, Mathematics

Current affiliation (2022-): LAMFA CNRS UMR 7352 - Université de Picardie Jules Verne

Previous affiliation (2008-2022): UMPA CNRS UMR 5669 - ENS de Lyon

Publications

Assessing Mesoscale Heterogeneities in Hard Carbon Electrodes through FIB-SEM Characterization, Manufacturing and Electrochemical Modeling

Soorya Saravanan , Imelda Cardenas Sierra , Pei Sun , Hari Raj , Daniele Duranti et al.

Advanced Energy Materials, In press, pp.e06765. ⟨10.1002/aenm.202506765⟩

Article dans une revue hal-05407874v1

Machine Learning Surrogate Modeling of Materials Extrusion for Lithium-Ion Battery Electrode Dry Manufacturing

Pei Sun , Francisco Fernandez , Diego Galvez-Aranda , Jean-Paul Chehab , Paul Vigneaux et al.

Energy Storage Materials, 2026, 91, pp.105437. ⟨10.1016/j.ensm.2026.105437⟩

Article dans une revue hal-05677302v1

Discrete Element Method Model of An Extrusion Process with Recirculation for Dry Manufacturing of Lithium-Ion Battery Electrodes

Pei Sun , Paul Vigneaux , Alejandro Franco

Batteries & Supercaps, 2026, 9 (4), pp.e202500211. ⟨10.1002/batt.202500211⟩

Article dans une revue hal-04960824v1

A metamodel for confined yield stress flows and parameters’ estimation

Clément Berger , David Coulette , Paul Vigneaux

Rheologica Acta, 2024, ⟨10.1007/s00397-024-01436-0⟩

Article dans une revue hal-04480999v1

Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows

Enrique Domingo Fernández-Nieto , J Garres-Díaz , Paul Vigneaux

Computers & Mathematics with Applications, 2023, 139, pp.99-117. ⟨10.1016/j.camwa.2023.03.018⟩

Article dans une revue hal-03679369v1

Supplementary code for "A metamodel for confined yield stress flows and parameters' estimation

Clément Berger , Paul Vigneaux

Rheologica Acta, 2023, ⟨10.5281/zenodo.8377204⟩

Article dans une revue hal-04623125v1

Confined yield stress lubrication flows for cement paste backfill in underground stopes

Paul Vigneaux , Yajian Shao , Ian Frigaard

Cement and Concrete Research, 2023, 164, pp.107038. ⟨10.1016/j.cemconres.2022.107038⟩

Article dans une revue hal-03892951v1

Flow of a yield-stress fluid over a cavity: experimental and numerical investigation of a viscoplastic boundary layer

Paul Vigneaux , Guillaume Chambon , Arthur Marly , Li-Hua Luu , Pierre Philippe

Journal of Non-Newtonian Fluid Mechanics, 2018, 261, pp.38-49. ⟨10.1016/j.jnnfm.2018.08.005⟩

Article dans une revue hal-01857303v1

Efficient numerical schemes for viscoplastic avalanches. Part 2: the 2D case

Enrique D. Fernandez-Nieto , J.M. Gallardo , Paul Vigneaux

Journal of Computational Physics, 2018, 353, pp.460-490. ⟨10.1016/j.jcp.2017.09.054⟩

Article dans une revue hal-01593148v1

Population parametrization of costly black box models using iterations between SAEM algorithm and kriging

Emmanuel Grenier , Celine Helbert , Violaine Louvet , Adeline Samson , Paul Vigneaux

Computational & Applied Mathematics, 2018, 37 (1), pp.161-173. ⟨10.1007/s40314-016-0337-5⟩

Article dans une revue hal-01224004v2

Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments

Arthur Marly , Paul Vigneaux

Journal of Non-Newtonian Fluid Mechanics, 2017, 239, pp.35 - 52. ⟨10.1016/j.jnnfm.2016.12.004⟩

Article dans une revue hal-01432028v1

Efficient numerical schemes for viscoplastic avalanches. Part 1: the 1D case

Enrique D. Fernandez-Nieto , J.M. Gallardo , Paul Vigneaux

Journal of Computational Physics, 2014, 264, pp.55-90. ⟨10.1016/j.jcp.2014.01.026⟩

Article dans une revue hal-01011373v1

Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE.

Emmanuel Grenier , Violaine Louvet , Paul Vigneaux

ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (5), pp.1303-1329. ⟨10.1051/m2an/2013140⟩

Article dans une revue hal-00936373v2

A mathematical model for mechanotransduction at the early steps of suture formation

Roman Hossein Khonsari , Julien Olivier , Paul Vigneaux , Sophie Sanchez , Paul Tafforeau et al.

Proceedings of the Royal Society of London. Series B, Containing papers of a Biological character. Royal Society (Great Britain), 2013, 280 (1759), pp.20122670. ⟨10.1098/rspb.2012.2670⟩

Article dans une revue hal-00709484v1

A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model

Céline Acary-Robert , Enrique D. Fernandez-Nieto , G. Narbona-Reina , Paul Vigneaux

Journal of Scientific Computing, 2012, 53 (3), pp.608-641. ⟨10.1007/s10915-012-9591-x⟩

Article dans une revue hal-00709491v1

L'Institut Courant de Sciences Mathématiques : 75 ans d'Excellence

Mary Louise Ball , Paul Vigneaux

Images des mathématiques, 2011, http://images.math.cnrs.fr/L-Institut-Courant-de-Sciences.html

Article dans une revue hal-00643784v1

Volcan islandais Eyjafjöll : mais où vont les particules ?

Paul Vigneaux

Images des mathématiques, 2010, http://images.math.cnrs.fr/Volcan-islandais-Eyjafjoll-mais-ou.html

Article dans une revue hal-00572394v1

Les baïnes, du surf et des maths

Paul Vigneaux

Images des mathématiques, 2009, http://images.math.cnrs.fr/Les-baines-du-surf-et-des-maths.html

Article dans une revue hal-00604176v1

On stability condition for bifluid flows with surface tension : application to microfluidics

Cedric Galusinski , Paul Vigneaux

Journal of Computational Physics, 2008, 227 (12), pp.6140-6164. ⟨10.1016/j.jcp.2008.02.023⟩

Article dans une revue hal-00274569v2

Level-Set method and stability condition for curvature-driven flows

Cedric Galusinski , Paul Vigneaux

Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2007, 344 (11), pp.703-708. ⟨10.1016/j.crma.2007.05.001⟩

Article dans une revue hal-00193189v1

Some Remarks on Avalanches Modelling: An Introduction to Shallow Flows Models

Enrique D. Fernandez-Nieto , Paul Vigneaux

Parés, Carlos; Vazquez Cendon, Carlos; Coquel, Frederic. Advances in Numerical Simulation in Physics and Engineering - Lecture Notes of the XV 'Jacques-Louis Lions' Spanish-French School, 3, Springer, pp.51-106, 2014, SEMA SIMAI Springer Series, 978-3-319-02838-5. ⟨10.1007/978-3-319-02839-2_2⟩

Chapitre d'ouvrage hal-01066445v1

A finite volume/duality method for Bingham viscoplastic flow

J.M. Gallardo , E. D. Fernández-Nieto , Paul Vigneaux

Elena Vázquez-Cendón ; Arturo Hidalgo ; Pilar Garcia Navarro ; Luis Cea. Numerical Methods for Hyperbolic Equations: Theory and Applications, CRC Press, pp.60, 2012, 9780415621502

Chapitre d'ouvrage hal-00768512v1

Augmented Lagrangian Method and Compressible Visco-Plastic Flows : Applications to Shallow Dense Avalanches

Didier Bresch , Enrique D. Fernandez - Nieto , Ioan R. Ionescu , Paul Vigneaux

Fursikov, Andrei V., Galdi, Giovanni P., Pukhnachev, Vladislav V. New Directions in Mathematical Fluid Mechanics, Birkhäuser, pp.57-89, 2009, Advances in Mathematical Fluid Mechanics, 978-3-0346-0151-1

Chapitre d'ouvrage hal-00327369v1

Level Set method for Curvature-driven Flows in Microfluidics

Paul Vigneaux

Deconinck, Herman; Dick, Erik (Eds.). Computational Fluid Dynamics 2006. Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, Ghent, Belgium, 10-14 July 2006, Springer Berlin Heidelberg, pp.595-600, 2009

Chapitre d'ouvrage hal-00281512v1

Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels

Charles-Henri Bruneau , Thierry Colin , Cedric Galusinski , Sandra Tancogne , Paul Vigneaux

K. Kunisch, G. Of, O. Steinbach. Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, xxx (xxx), Springer Berlin Heidelberg, pp.449-456, 2008

Chapitre d'ouvrage hal-00291512v1

On a zoology of 3D viscoplastic avalanches

Paul Vigneaux

Journées Complex Flows sur les écoulements granulaires, Jun 2026, Clermont -Ferrand, France

Communication dans un congrès hal-05677224v1

Shallow Water models for viscoplastic flows

Paul Vigneaux

10th Meeting on Numerical Analysis of PDEs - Talca Numerica I, Jul 2025, Talca, Chile

Communication dans un congrès hal-05197822v1

Solvent-Free Electrode Manufacturing for Next-Generation Batteries - A DEM Study on Extrusion Process

Pei Sun , Paul Vigneaux , Alejandro Franco

2025 MRS Fall Meeting & Exhibit, Nov 2025, Boston (MA), United States

Communication dans un congrès hal-05396953v1

Experimental study of viscoplastic jet-like intrusion flows

Pierre Philippe , Colin Ginot , Guillaume Chambon , Paul Vigneaux

2nd European Fluid Dynamics Conference (EFDC2), Aug 2025, Dublin, Ireland

Communication dans un congrès hal-05224626v1

Solvent-Free Electrode Manufacturing for Next-Generation Batteries: A DEM Study on Extrusion Process

Pei Sun , Paul Vigneaux , Alejandro Franco

SWISS BATTERY DAYS 2025, Aug 2025, Zurich, Switzerland

Communication dans un congrès hal-05298230v1

Duality methods for viscoplastic avalanches and comparisons with lab experiments

Maxime Wallon , Paul Vigneaux

15th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2025), Sep 2025, Heidelberg, Germany

Communication dans un congrès hal-05234190v1

Experimental study of viscoplastic surges down complex topographies and comparisons with numerical simulations

Colin Ginot , Guillaume Chambon , Maxime Wallon , Paul Vigneaux , Pierre Philippe

EGU General Assembly 2024, Apr 2024, Vienna, Austria. ⟨10.5194/egusphere-egu24-9580⟩

Communication dans un congrès hal-04563960v1

Viscoplastic flows over topographies: an experimental - numerical cross-comparison

Colin Ginot , Guillaume Chambon , Maxime Wallon , Paul Vigneaux , Pierre Philippe

AERC 2024 - The Annual European Rheology Conference, Apr 2024, Leeds, United Kingdom

Communication dans un congrès hal-04563884v1

Experimental investigation of viscoplastic surges over complex topographies

Colin Ginot , Guillaume Chambon , Pierre Philippe , Paul Vigneaux

Fluids and Complexity III, Fédération Doeblin (Université Côte d'Azur, CNRS), Dec 2023, Nice, France

Communication dans un congrès hal-04436620v1

Evaluation of depth-averaged models for viscoplastic free-surface flows: cross-comparisons with experiments

Guillaume Chambon , Paul Vigneaux , Colin Ginot

14th European Fluid Mechanics Conference (EFMC14), Sep 2022, Athens, Greece

Communication dans un congrès hal-03893063v1

Experimental investigation of viscoplastic flows over topographical features

Colin Ginot , Guillaume Chambon , Paul Vigneaux

14th European Fluid Mechanics Conference (EFMC14), Sep 2022, Athens, Greece

Communication dans un congrès hal-03893059v1

A multilayer method for Shallow Water yield stress flows

Paul Vigneaux

9th Computational Methods in Applied Mathematics, Aug 2022, Vienna, Austria

Communication dans un congrès hal-03768627v1

Mouvements de terrain et comportements des géomatériaux

Guillaume Chambon , Paul Vigneaux

Face au changement climatique, le champ des possibles, Académie des Sciences, IMPT & Musée des confluences Lyon, Nov 2021, Lyon, France

Communication dans un congrès hal-03893147v1

Flow of a Yield-stress Fluid over a Cavity: Experimental and Numerical Investigation of an Oldroyd's Boundary Layer

Paul Vigneaux

CSE 2019 - SIAM Conference on Computational Science and Engineering, Feb 2019, Spokane, United States

Communication dans un congrès hal-02087288v1

Flow of a yield stress-fluid over cavity and viscoplastic boundary layers: following the quest

Paul Vigneaux , Guillaume Chambon , Li-Hua Luu , Arthur Marly , Pierre Philippe

VPF8 2019 - 8th Viscoplastic Fluids Workshop: From Theory to Applications, Sep 2019, Cambridge, United Kingdom

Communication dans un congrès hal-02296110v1

Numerical methods for geophysical yield stress fluid flows

Paul Vigneaux

ICIAM 2019 - 9th International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain

Communication dans un congrès hal-02202001v1

Simulations of Bingham fluids in expansion-contraction geometries: comparison with physical experiments

Arthur Marly , Paul Vigneaux

7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand

Communication dans un congrès hal-01821679v1

Flow of a yield stress-fluid over cavity - experimental & numerical investigation of viscoplastic boundary layers

Guillaume Chambon , Li-Hua Luu , Arthur Marly , Pierre Philippe , Paul Vigneaux

7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand

Communication dans un congrès hal-01821648v1

Accurate arrested states for finite-volumes schemes on a shallow Bingham model

Paul Vigneaux

7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand

Communication dans un congrès hal-01630047v1

2D numerical simulations of Bingham equations (integrated or not)

Paul Vigneaux

5me Ecole du GdR CNRS EGRIN, May 2017, Cargèse, France

Communication dans un congrès hal-01568776v1

Bed Erosion Process in Geophysical Viscoplastic Fluid

Li-Hua Luu , Guillaume Chambon , Arthur Marly , Pierre Philippe , Paul Vigneaux

AGU Fall Meeting, Dec 2017, New Orleans, United States

Communication dans un congrès hal-01821668v1

SAEM methods for statistical PDE parameters estimation and application to biology

Paul Vigneaux

CIMPA School "Mathematical models in biology and medicine", Dec 2016, Moka, Mauritius

Communication dans un congrès hal-01419082v1

Numerical schemes for viscoplastic avalanches. A shallow - Bingham flow model

Paul Vigneaux

SIMAI 2016, SIMAI, Politecnico di Milano, Sep 2016, Milano, Italy

Communication dans un congrès hal-01376649v1

Small scale fluid dynamics, interfaces and numerics

Paul Vigneaux

CEMRACS 2015, SMAI, Jul 2015, CIRM - Marseille, France

Communication dans un congrès hal-01180352v1

Statistical Inference for Partial Differential Equations

Emmanuel Grenier , Marc Hoffmann , Tony Lelièvre , Violaine Louvet , Clémentine Prieur et al.

SMAI 2013 - 6e Biennale Française des Mathématiques Appliquées et Industrielles, May 2013, Seignosse, France. pp.178-188, ⟨10.1051/proc/201445018⟩

Communication dans un congrès hal-01102782v1

Numerical schemes for viscoplastic avalanches

Paul Vigneaux

2me Ecole du GdR CNRS EGRIN, Jun 2014, Domaine de Chalès, France

Communication dans un congrès hal-01019923v1

Numerics for Viscoplastic Shallow-Water equations

Paul Vigneaux

"Geophysical Complex Fluids", within ANR Think tank "Mathematics of Planet Earth", Sep 2013, Institut de Mathematiques de Toulouse, France

Communication dans un congrès hal-01011306v1

Estimation of PDE's parameters via mixed effects models. Application to KPP equation.

Paul Vigneaux

CIMPA Research Summer School on "PDE methods in Biology and Medicine", Jun 2013, La Habana, Cuba

Communication dans un congrès hal-00848024v1

Microfluidics, Nanofluidics: ounces of physics, modelling & numerical methods

Paul Vigneaux

13th CNRS Thematic School on Computational Fluid Dynamics, Jun 2013, Porquerolles, France

Communication dans un congrès hal-00848033v1

On the growth of low grade gliomas - Sur la croissance des gliomes de bas grade

Paul Vigneaux

SMAI 2013 - Minisymposium "CANCER", May 2013, Seignosse, France

Communication dans un congrès hal-00846148v1

Extending Monolix to use models with Partial Differential Equations

Paul Vigneaux

PAGE 2013. Annual Meeting of the Population Approach Group in Europe., Jun 2013, Glasgow, United Kingdom. pp.PAGE 22 (2013) Abstr 2666

Communication dans un congrès hal-00846170v1

Viscoplastic shallow models to simulate some complex avalanches

Paul Vigneaux

Mathematics of Planet Earth: Examples of Mathematics applied to Geophysics, Oct 2013, Institute of Mathematics of Seville, Spain

Communication dans un congrès hal-01011309v1

Viscoplastic Free-Surface Flows: The Herschel-Bulkley Case

Paul Vigneaux

Seventh International Conference on Computational Fluid Dynamics (ICCFD7), Big Island, Hawaii, July 9-13, 2012, Jul 2012, United States. pp.ICCFD7-3302

Communication dans un congrès hal-00751287v1

Augmented Lagrangian / well-balanced finite volume method for compressible viscoplastic flows

Paul Vigneaux , Didier Bresch , Enrique D. Fernandez-Nieto , Ioan R. Ionescu

Sixth International Conference on Computational Fluid Dynamics, ICCFD6, Jul 2010, St-Petersburg, Russia. pp.271-277

Communication dans un congrès hal-00627228v1

Stability condition for surface tension-driven flows and application to microfluidics

Paul Vigneaux

Mathematical Aspects of Fluid Problems, Apr 2011, Seville, Spain

Communication dans un congrès hal-00627212v1

Well-Balanced Finite Volume Schemes for Bingham Flows

Paul Vigneaux , Didier Bresch , Enrique D. Fernandez - Nieto , Ioan R. Ionescu

ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada

Communication dans un congrès hal-00627242v1

Une méthode couplée Lagrangien Augmenté - Volumes-Finis appliquée aux avalanches de neige dense

Paul Vigneaux

CANUM 2010 - 40e Congrès National d'Analyse Numérique, May 2010, Bordeaux, France

Communication dans un congrès hal-00627255v1

A coupled Augmented Lagrangian/Finite Volume method for a compressible Bingham system

Paul Vigneaux

Chinese-French Research Institute on Stress Tensor Effects on Fluid Mechanics, Jan 2010, Beijing, China

Communication dans un congrès hal-00627206v1

A Method for Compressible Bingham-Type Systems Applied to Shallow Dense Avalanches Simulations. Keynote Lecture

Paul Vigneaux

9th World Congress on Computational Mechanics, WCCM 2010, Jul 2010, Sydney, Australia

Communication dans un congrès hal-00627231v1

Simulations numériques en microfluidique. Applications en Chimie et Biologie

Paul Vigneaux

1res Journées du GdR CNRS CALCUL. Institut Henri Poincaré., Nov 2009, Paris, France

Communication dans un congrès hal-00627250v1

Surface-tension driven interfaces : stability and some applications in microchannels

Paul Vigneaux

Free boundary problems in fluid mechanics, Feb 2008, Vienne, Austria

Communication dans un congrès hal-00627204v1

Approche hydrodynamique des mouvements de cellules en interaction avec la paroi endothéliale, grâce à des Méthodes Level Set

Paul Vigneaux , Didier Bresch , Edouard Oudet

Bioinformatique et Modélisation Mathématique en Biologie et Innovation thérapeutique. GdR CNRS MABEM., Dec 2008, Ecole Centrale Paris, France

Communication dans un congrès hal-00627247v1

Écoulement de gouttes dans des microcanaux : simulations numériques et expériences

Annie Colin , Galder Cristobal , Cedric Galusinski , Khodor Khadra , Paul Vigneaux

CFM 2007 - 18ème Congrès Français de Mécanique, Aug 2007, Grenoble, France. pp.CFM2007-1446

Communication dans un congrès hal-00198752v1

A new stability condition for surface tension-driven flows

Paul Vigneaux , Cedric Galusinski

6th International Congress on Industrial and Applied Mathematics (ICIAM 2007), Jul 2007, Zurich, Switzerland

Communication dans un congrès hal-00281522v1

Surface tension-driven flows in Microfluidics

Cedric Galusinski , Paul Vigneaux

6th International Congress on Industrial and Applied Mathematics (ICIAM 2007), Jul 2007, Zurich, Switzerland

Communication dans un congrès hal-00281521v1

Exploring mixing dynamics inside microdroplets with a Level Set method

Paul Vigneaux

ENUMATH 2007 the 7th European Conference on Numerical Mathematics and Advanced Applications, Sep 2007, Graz, Austria

Communication dans un congrès hal-00281523v1

Numerical modelling of droplet hydrodynamics in microchannels

Paul Vigneaux

1st French-Chinese Symposium on Microfluidics, Oct 2007, Beijing, China

Communication dans un congrès hal-00281524v1

Stabilité numérique en suivi d'interface avec prépondérance de la tension de surface

Paul Vigneaux

3e Congrès national de mathématiques appliquées et industrielles (SMAI 2007), Jun 2007, Praz sur Arly, France

Communication dans un congrès hal-00281520v1

Level Set method for bifluid flows in microchannels

Cedric Galusinski , Khodor Khadra , Paul Vigneaux

7th World Congress on Computational Mechanics (WCCM VII), Jul 2006, Los Angeles, United States

Communication dans un congrès hal-00281519v1

Méthode Level Set pour des écoulements en microcanaux

Paul Vigneaux

38e Congrès National d'Analyse Numérique (CANUM 2006), May 2006, Guidel, France

Communication dans un congrès hal-00281518v1

Droplets in microchannels with Level Set method

Paul Vigneaux

European Conference on Computational Fluid Dynamics 2006 (ECCOMAS CFD 2006), Sep 2006, Egmond aan Zee, Netherlands. pp.180

Communication dans un congrès hal-00281517v1

Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE

Emmanuel Grenier , Violaine Louvet , Paul Vigneaux

[Research Report] RR-8231, INRIA. 2013, pp.30

Rapport (rapport de recherche) hal-00789135v1

Méthodes Level Set pour des problèmes d'interface en microfluidique

Paul Vigneaux

Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2007. Français. ⟨NNT : ⟩

Thèse tel-00189409v2

Frontières libres

Paul Vigneaux

Mathematics [math]. École Normale Supérieure de Lyon, 2017

HDR tel-02296753v1

Maths & Océans #2 : Mascaret, l’onde de marée

Paul Vigneaux

2025

Article de blog scientifique hal-05494185v1

Simulation of an avalanche in the Taconnaz path, with a shallow-water Bingham model. Mont-Blanc massif, France

Paul Vigneaux

2021

Vidéo hal-03523188v1

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