CV HAL - Fabien Vergnet

Optimal a priori error bounds for a smooth extension method

Guillaume Delay , Fabien Vergnet

2026

Pré-publication, Document de travail hal-05536716v1

A reduced seepage model for fluid-structure-contact interaction with moving interfaces

Marguerite Champion , Daniele Corti , Miguel Angel Fernández , Céline Grandmont , Fabien Vergnet

2026

Pré-publication, Document de travail hal-05626925v1

Trotterization scheme and Pauli decomposition for the two-body Schrödinger equation

Laurent Boudin , Igor Chollet , Mi-Song Dupuy , Cindy Guichard , Michel Fabrice Serret et al.

2026

Pré-publication, Document de travail hal-05623753v1

A smooth extension method for transmission problems

Astrid Decoene , Sébastien Martin , Fabien Vergnet

2019

Pré-publication, Document de travail hal-02146271v2

Mathematical modeling of photoplethysmography: model assessment and validation

Adrien Lefieux , Justine Daraize , Fabien Vergnet , Marina Vidrascu , Marie Willemet et al.

Cardiovascular Engineering and Technology, 2026, 17, pp.281-299. ⟨10.1007/s13239-026-00826-0⟩

Article dans une revue hal-05134478v3

On the analysis of a mechanically consistent model of fluid-structure-contact interaction

Marguerite Champion , Miguel Angel Fernández , Céline Grandmont , Fabien Vergnet , Marina Vidrascu

Mathematics in Engineering, 2024, 6 (3), pp.425-467. ⟨10.3934/mine.2024018⟩

Article dans une revue hal-04229012v1

Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem

Daniele Corti , Guillaume Delay , Miguel Angel Fernández , Fabien Vergnet , Marina Vidrascu

ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (1), pp.303-333. ⟨10.1051/m2an/2023103⟩

Article dans une revue hal-04084162v2

A continuum active structure model for the interaction of cilia with a viscous fluid

Astrid Decoene , Sébastien Martin , Fabien Vergnet

Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023, 106 (3), ⟨10.1002/zamm.202100534⟩

Article dans une revue hal-02493513v1

Existence and uniqueness for a quasi-static interaction problem between a viscous fluid and an active structure

Céline Grandmont , Fabien Vergnet

Journal of Mathematical Fluid Mechanics, 2021, 23 (45), ⟨10.1007/s00021-020-00552-0⟩

Article dans une revue hal-02493384v2

Irreversibility and chaos in active particle suspensions

Sergio Chibbaro , Astrid Decoene , Sebastien Martin , Fabien Vergnet

Physical Review Fluids, 2021, 6 (1), pp.013104. ⟨10.1103/PhysRevFluids.6.013104⟩

Article dans une revue hal-03790675v1

Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles

Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

Journal of Mathematical Fluid Mechanics, 2019, 21 (1), pp.6. ⟨10.1007/s00021-019-0406-9⟩

Article dans une revue hal-01990511v1

Method for determining blood-pressure-related data

Miguel Angel Fernández , Adrien Lefieux , Damiano Lombardi , Fabien Vergnet , Marina Vidrascu et al.

France, Patent n° : FR3162616. 2025

Brevet hal-05613155v1

A continuum active structure model for the interaction of cilia with a viscous fluid

Astrid Decoene , Sébastien Martin , Fabien Vergnet

Enumath 2023 - European Conference on Numerical Mathematics and Advanced Applications, Sep 2023, Lisbon, Portugal. ⟨10.1002/zamm.202100534⟩

Communication dans un congrès hal-04396601v1

Structures actives dans un fluide visqueux : modélisation, analyse mathématique et simulations numériques

Fabien Vergnet

Equations aux dérivées partielles [math.AP]. Université Paris Saclay (COmUE), 2019. Français. ⟨NNT : 2019SACLS169⟩

Thèse tel-02194265v1

Fabien Vergnet

Publications

Publications

Optimal a priori error bounds for a smooth extension method

A reduced seepage model for fluid-structure-contact interaction with moving interfaces

Trotterization scheme and Pauli decomposition for the two-body Schrödinger equation

A smooth extension method for transmission problems

Mathematical modeling of photoplethysmography: model assessment and validation

On the analysis of a mechanically consistent model of fluid-structure-contact interaction

Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem

A continuum active structure model for the interaction of cilia with a viscous fluid

Existence and uniqueness for a quasi-static interaction problem between a viscous fluid and an active structure

Irreversibility and chaos in active particle suspensions

Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles

Method for determining blood-pressure-related data

A continuum active structure model for the interaction of cilia with a viscous fluid

Structures actives dans un fluide visqueux : modélisation, analyse mathématique et simulations numériques