Multiscale finite element methods for advection-dominated problems in perforated domains CL Bris, F Legoll, F Madiot
Multiscale Modeling & Simulation 17 (2), 773-825, 2019
23 2019 A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media C Le Bris, F Legoll, F Madiot
ESAIM: Mathematical Modelling and Numerical Analysis 51 (3), 851-888, 2017
19 2017 APOLLO3®: Overview of the new code capabilities for reactor physics analysis P Mosca, L Bourhrara, A Calloo, A Gammicchia, F Goubioud, LL Mao, ...
M&C 2023, 2023
15 2023 Multiscale finite element methods for advection-diffusion problems F Madiot
Université Paris-Est, 2016
8 2016 Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante C Le Bris, F Legoll, F Madiot
Comptes Rendus. Mathématique 354 (8), 799-803, 2016
5 2016 A New Calculation Strategy for Molten Salt Reactor Neutronic–Thermal-Hydraulic Analysis Implemented with APOLLO3® and TRUST/TrioCFD N Greiner, F Madiot, Y Gorsse, C Patricot, G Campioni
Nuclear Science and Engineering 197 (12), 3000-3021, 2023
3 2023 Particle transport in Markov media with spatial gradients: Comparison between reference solutions and Chord Length Sampling MA Kowalski, C Larmier, F Madiot, J Durand, S Lemaire, A Zoia
Journal of Quantitative Spectroscopy and Radiative Transfer 286, 108185, 2022
3 2022 Méthodes éléments finis de type MsFEM pour des problèmes d'advection-diffusion F Madiot
Paris Est, 2016
3 2016 A numerical comparison of some multiscale finite element approaches for convection-dominated problems in heterogeneous media CL Bris, F Legoll, F Madiot
arXiv preprint arXiv:1511.08453, 2015
3 2015 A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations P Ciarlet, MH Do, F Madiot
ESAIM: Mathematical Modelling and Numerical Analysis 57 (1), 1-27, 2023
2 2023 Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations YC Taumhas, G Dusson, V Ehrlacher, T Lelièvre, F Madiot
arXiv preprint arXiv:2307.05978, 2023
1 2023 Impact of physical model error on state estimation for neutronics applications YC Taumhas, D Labeurthre, F Madiot, O Mula, T Taddei
ESAIM: Proceedings and Surveys 73, 158-172, 2023
1 2023 Impact of physical model error on state estimation for neutronics applications YC Taumhas, D Labeurthre, F Madiot, O Mula, T Taddei
arXiv preprint arXiv:2212.01655, 2022
1 2022 Numerical analysis of the neutron multigroup E Jamelot, F Madiot
Comptes Rendus. Mathématique 359 (5), 533-545, 2021
1 2021 Stable approximation of the advection-diffusion equation using the invariant measure CL Bris, F Legoll, F Madiot
arXiv preprint arXiv:1609.04777, 2016
1 2016 An Application of Reduced Basis Methods to Core Computation in APOLLO3 YC Taumhas, G Dusson, V Ehrlacher, T Lelièvre, F Madiot
arXiv preprint arXiv:2311.13902, 2023
2023 An Application of Reduced Basis Methods to Core Computation in APOLLO3 Y Conjungo Taumhas, G Dusson, V Ehrlacher, T Lelièvre, F Madiot
arXiv e-prints, arXiv: 2311.13902, 2023
2023 Stationary Coupled Neutron/Photon Core Calculations in APOLLO3® F Madiot, A Gammicchia, E Masiello, P Mosca
M&C 2023-The International Conference on Mathematics and Computational …, 2023
2023 Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations Y Conjungo Taumhas, G Dusson, V Ehrlacher, T Lelièvre, F Madiot
arXiv e-prints, arXiv: 2307.05978, 2023
2023 Impact of physical model error on State Estimation for neutronics applications Y Conjungo Taumhas, D Labeurthre, F Madiot, O Mula, T Taddei
arXiv e-prints, arXiv: 2212.01655, 2022
2022 