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François Madiot

Ingénieur Chercheur en Mathématiques Appliquées au CEA Saclay
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13
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Affiliations actuelles
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Présentation

I am currently working at CEA, Service d’ ́Etudes des Réacteurs et de Mathématiques Appliquées, 91191 Gif-sur-Yvette, France. [Link to LinkedIn](https://www.linkedin.com/in/fran%C3%A7ois-madiot-0246b785/), [Link to ResearchGate](https://www.researchgate.net/profile/Francois-Madiot), [Link to Google Scholar](https://scholar.google.com/citations?user=h6IDnaMAAAAJ&hl=fr) # 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** Mario Gervais (PhD student : 10/2022 - ) (co-supervision Patrick Ciarlet) Yonah Conjungo Taumhas (PhD student : 10/2020 - ) (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) **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** * 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 (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]

Publications

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-04153214v1
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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-03936904v2
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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, inPress
Article dans une revue cea-03884166v1
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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-02902626v1

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-01624049v1

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-01235642v1

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-01348854v1

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
Communication dans un congrès cea-04300597v1

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-02613617v1