| APOLLO3®: Overview of the new code capabilities for reactor physics analysis P Mosca, L Bourhrara, A Calloo, A Gammicchia, F Goubioud, L Mao, ... Nuclear Science and Engineering, 1-14, 2024 | 37 | 2024 |
| 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 | 22 | 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 | 21 | 2017 |
| 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 | 10 | 2023 |
| 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 | 8 | 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 | 8 | 2022 |
| 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 |
| 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 ESAIM: Mathematical Modelling and Numerical Analysis 58 (5), 1959-1987, 2024 | 4 | 2024 |
| 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 | 4 | 2023 |
| Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes MH Do, P Ciarlet, F Madiot EPJ Web of Conferences 247, 02002, 2021 | 3 | 2021 |
| 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 |
| 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 | 2 | 2022 |
| Cycle-Free Polytopal Mesh Sweeping for Boltzmann Transport A Calloo, M Evans, H Lockyer, F Madiot, T Pryer, L Zanetti arXiv preprint arXiv:2412.01660, 2024 | 1 | 2024 |
| 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 | 1 | 2023 |
| Numerical analysis of the neutron multigroup equations 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 |
| Méthodes éléments finis de type MsFEM pour des problèmes d'advection-diffusion F Madiot Paris Est, 2016 | 1 | 2016 |
| Stabilization of non-coercive problems using the invariant measure C Le Bris, F Legoll, F Madiot COMPTES RENDUS MATHEMATIQUE 354 (8), 799-803, 2016 | 1 | 2016 |
| Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations P Ciarlet Jr, MH Do, F Madiot arXiv preprint arXiv:2503.11800, 2025 | | 2025 |
