François Madiot

Ingénieur Chercheur en Mathématiques Appliquées au CEA Saclay
72%
Libre accès
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Affiliation actuelle
  • Service d’Études des Réacteurs et de Mathématiques Appliquées (SERMA)
Contact

Présentation

I am currently working at CEA, Service d’ ́Etudes des Réacteurs et de Mathématiques Appliquées, 91191 Gif-sur-Yvette, France.

Link to LinkedIn, Link to ResearchGate, Link to Google Scholar

Research

Reseach Interests I am interested in mathematical applications related to the development of finite element discretizations, more specifically the mixed finite elements and the discontinuous finite elements, for neutral particle transport. In particular, the subjects I am interested in are listed below:

  • Numerical analysis;
  • A posteriori estimation;
  • Domain decomposition;
  • Model order reduction.

During my PhD, I studied various multiscale finite element approaches for advection diffusion problems.

Present or former students Amélie Brassart (PhD student : 10/2024 - ) (co-supervision Tony Lelièvre, Virginie Ehrlacher and Geneviève Dusson) Matt Evans (PhD student : 10/2023 - ) (co-supervision Tristan Pryer, Luca Zanetti and Ansar Calloo) Ruggero Rosselli (PhD student : 09/2023 - ) (co-supervision Grégoire Allaire, Cyril Patricot and Maria Adela Puscas) Mario Gervais (PhD student : 10/2022 - ) (co-supervision Patrick Ciarlet) Yonah Conjungo Taumhas (PhD student : 10/2020 - 12/2023) (co-supervision Tony Lelièvre, Virginie Ehrlacher and Geneviève Dusson)

Master Nicolas Podvin (5 months, 2019), Amanda Goldani Rodrigues Peixoto (6 months, 2019), Pierre-Alain Legros (4 months, 2021), Christos Mountzouris (6 months, 2022), Mathis Antonetti (6 months, 2022), Sofiane Ezzihi (co-supervision Erell Jamelot and Olivier Lafitte, 6 months, 2022), Pierre-Marie Ciron (5 months, 2023), Chaimaa Aziz (co-supervision Ansar Calloo, Rémi Baron and Romain Le Tellier, 6 months, 2024), Jason Romain (5 months, 2025)

Post-doctoral student Minh-Hieu Do, co-supervision Patrick Ciarlet, (2 years 2018 - 2020) Nathan Greiner, co-supervision Guillaume Campioni , (2 years 2020 - 2022)

Oral communications

  • Journées scientifiques 2024 du RT Terre et Énergies, 2024 : Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations
  • M&C 2023 - The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, 2023: An Application of Reduced Basis Methods to Core Computation in APOLLO3®
  • M&C 2023 - The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, 2023: Stationary Coupled Neutron/Photon Core Calculations in APOLLO3®
  • XVème Colloque Franco-Roumain de Mathématiques Appliquées, 2022 : A Posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations (ter)
  • 2022 CEA-EDF-INRIA summer school on numerical analysis, Certification of errors in numerical simulations : A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations(bis)
  • Journée Mathématiques pour la neutronique, 2021 : A Posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations
  • 14th World Congress on Computational Mechanics (WCCM), ECCOMAS Congress 2020 : Elements of verification of the neutronics deterministic solvers of the APOLLO3 code for the time-dependent Boltzmann equation
  • 26th International Domain Decomposition Conference, DD26, 2020 : Domain Decomposition Method for nuclear core reactor simulations with low-regularity solution
  • PHYSOR 2020 Transition to a scalable nuclear future, 2020 : Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes

Short Vita

Employment

  • 2017 -... : Research Engineer at CEA Saclay
  • 2013-2016 : PhD student in Applied Mathematics, Université Paris-Est

Education

  • 2013-2016 : PhD student in Applied Mathematics, Université Paris-Est
  • 2012-2013 : Master in Mathematics and Applications, Major degree Numerical Analysis & Partial Differential Equations (ANEDP) Sorbonne Université
  • 2009-2013 : Engineering School, Applied Mathematics and computer science Department Ecole des Ponts ParisTech (Paris)

Domaines de recherche

Analyse numérique [math.NA] Equations aux dérivées partielles [math.AP]

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Publications

Image document

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
ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (5), pp.1959-1987. ⟨10.1051/m2an/2024055⟩
Article dans une revue cea-04156959 v1

A New Calculation Strategy for Molten Salt Reactor Neutronic–Thermal-Hydraulic Analysis Implemented with APOLLO3® and TRUST/TrioCFD

Nathan Greiner , François Madiot , Yannick Gorsse , Cyril Patricot , Guillaume Campioni
Nuclear Science and Engineering, 2023, pp.1-22. ⟨10.1080/00295639.2023.2197043⟩
Article dans une revue cea-04153214 v1
Image document

A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

Patrick Ciarlet , Minh Hieu Do , François Madiot
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (1), pp.1-27. ⟨10.1051/m2an/2022078⟩
Article dans une revue hal-03936904 v2
Image document

Impact of physical model error on state estimation for neutronics applications

Yonah Conjungo Taumhas , David Labeurthre , François Madiot , Olga Mula , Tommaso Taddei
ESAIM: Proceedings and Surveys, In press
Article dans une revue cea-03884166 v1
Image document

Numerical analysis of the neutron multigroup $SP_N$ equations

Erell Jamelot , François Madiot
Comptes Rendus. Mathématique, 2021, Comptes Rendus. Mathématique, 359 (5)
Article dans une revue cea-02902626 v1
Image document

Adaptive solution of the domain decomposition+ $L^2$ -jumps method applied to the neutron diffusion equation on structured meshes

Mario Gervais , François Madiot , Minh-Hieu Do , Patrick Ciarlet
EPJ Web of Conferences, 2021, Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo (SNA + MC 2024), 302, pp.02011. ⟨10.1051/epjconf/202430202011⟩
Article dans une revue cea-05018747 v1

Multiscale Finite Element methods for advection-dominated problems in perforated domains

Claude Le Bris , Frédéric Legoll , François Madiot
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2019, 17 (2), pp.773-825. ⟨10.1137/17M1152048⟩
Article dans une revue hal-01624049 v1

A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Claude Le Bris , Frédéric Legoll , François Madiot
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (3), pp.851-888
Article dans une revue hal-01235642 v1

Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante (Stabilization of non-coercive problems using the invariant measure)

Claude Le Bris , Frédéric Legoll , François Madiot
Comptes Rendus. Mathématique, 2016, 354 (8), pp.799-803
Article dans une revue hal-01348854 v1

An Application of Reduced Basis Methods to Core Computation in APOLLO3®

Yonah Conjungo Taumhas , François Madiot , Geneviève Dusson , Virginie Ehrlacher , Tony Lelièvre
M&C 2023 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Aug 2023, Niagara Falls, Ontario, Canada
Communication dans un congrès cea-04741825 v1

Stationary Coupled Neutron/Photon Core Calculations in APOLLO3®

François Madiot , Andrea Gammicchia , Emiliano Masiello , Pietro Mosca
M&C 2023 - The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Aug 2023, Niagara Falls, Ontario, Canada, France
Communication dans un congrès cea-04300597 v1

Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes

M.-H. Do , F. Madiot , Patrick Ciarlet
PHYSOR 2020 TRANSITION TO A SCALABLE NUCLEAR FUTURE, Mar 2020, Cambridge, United Kingdom
Communication dans un congrès cea-02613617 v1