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8

Journal articles3 documents

• Claude Le Bris, Frédéric Legoll, François Madiot. Multiscale Finite Element methods for advection-dominated problems in perforated domains. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2019, 17 (2), pp.773-825. ⟨10.1137/17M1152048⟩. ⟨hal-01624049⟩
• Claude Le Bris, Frédéric Legoll, François Madiot. A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (3), pp.851-888. ⟨hal-01235642⟩
• Claude Le Bris, Frédéric Legoll, François Madiot. Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante (Stabilization of non-coercive problems using the invariant measure). Comptes Rendus Mathématique, Elsevier Masson, 2016, 354 (8), pp.799-803. ⟨hal-01348854⟩

Conference papers1 document

• M.-H. Do, F. Madiot, Patrick Ciarlet. Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes. PHYSOR 2020 TRANSITION TO A SCALABLE NUCLEAR FUTURE, Mar 2020, Cambridge, United Kingdom. ⟨cea-02613617⟩

Preprints, Working Papers, ...3 documents

• Patrick Ciarlet, Minh-Hieu Do, François Madiot. A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations. 2020. ⟨cea-02893125⟩
• Erell Jamelot, François Madiot. Numerical analysis of the neutron multigroup $SP_N$ equations. 2020. ⟨cea-02902626⟩
• Claude Le Bris, Frédéric Legoll, François Madiot. Stable approximation of the advection-diffusion equation using the invariant measure. 2017. ⟨hal-01367417⟩