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hal-00624354v1  Book sections
Arnaud AnantharamanRonan CostaouecClaude Le BrisFrédéric LegollFlorian Thomines. Introduction to numerical stochastic homogenization and the related computational challenges: some recent developments
Weizhu Bao and Qiang Du. Multiscale modeling and analysis for materials simulation, World Scientific, 2011, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore ; vol. 22
hal-00691939v1  Journal articles
Frédéric LegollTony LelièvreGiovanni Samaey. A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (4), pp.A1951-A1986
hal-00784187v1  Journal articles
Frédéric LegollWilliam Minvielle. Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2015, 8 (1), pp.1-27. ⟨10.3934/dcdss.2015.8.1⟩
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inria-00165293v2  Journal articles
Claude Le BrisFrédéric Legoll. Integrators for highly oscillatory Hamiltonian systems: an homogenization approach
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2010, 13 (2), pp.347-373
hal-00519766v1  Book sections
Frédéric Legoll. Multiscale methods coupling atomistic and continuum mechanics: some examples of mathematical analysis
Analytical and Numerical Aspects of Partial Differential Equations, de Gruyter, pp.193-245, 2009, Proceedings in Mathematics
hal-00639349v1  Journal articles
Claude Le BrisFrédéric LegollF. Thomines. Multiscale Finite Element approach for "weakly" random problems and related issues
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (3), pp.815-858. ⟨10.1051/m2an/2013122⟩
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tel-01986889v1  Theses
Frédéric Legoll. Molecular and multiscale methods for the numerical simulation of materials
Mathematics [math]. Université Paris 6 (UPMC), 2004. English
hal-01986853v1  Journal articles
Eric CancèsFrédéric LegollGabriel Stoltz. Theoretical and numerical comparison of some sampling methods for molecular dynamics
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2007, 41 (2), pp.351-389. ⟨10.1051/m2an:2007014⟩
hal-00680278v1  Journal articles
Matthew DobsonFrédéric LegollTony LelièvreGabriel Stoltz. Derivation of Langevin Dynamics in a nonzero Background Flow Field
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (6), pp.1583-1626. ⟨10.1051/m2an/2013077⟩
hal-01986864v1  Journal articles
Frédéric Legoll. Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
Computational and Applied Mathematics, Springer Verlag, 2004, 23 (2-3), pp.309-325. ⟨10.1590/S1807-03022004000200011⟩
hal-01624049v1  Journal articles
Claude Le BrisFrédéric LegollFrançois 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-01194480v1  Journal articles
Claude Le BrisFrédéric LegollWilliam Minvielle. Special Quasirandom Structures: a selection approach for stochastic homogenization
Monte Carlo Methods and Applications, De Gruyter, 2016, 22 (1), pp.25-54
hal-00772489v1  Journal articles
Salma LahbabiFrédéric Legoll. Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales
Journal of Statistical Physics, Springer Verlag, 2013, 153 (6), pp.931-966
hal-01840993v1  Journal articles
Eric CancèsVirginie EhrlacherFrédéric LegollBenjamin StammShuyang Xiang. An embedded corrector problem for homogenization. Part I: Theory
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2020, 18 (3), pp.1179-1209. ⟨10.1137/18M120035X⟩
hal-00399986v1  Journal articles
Frédéric LegollTony Lelièvre. Effective dynamics using conditional expectations
Nonlinearity, IOP Publishing, 2010, 23 (9), pp.2131-2163. ⟨10.1088/0951-7715/23/9/006⟩
hal-01053459v1  Journal articles
Frédéric LegollWilliam Minvielle. A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2015, 13 (2), pp.519-550. ⟨10.1137/140980120⟩
hal-00776287v1  Journal articles
Yalchin EfendievCornelia KronsbeinFrédéric Legoll. Multilevel Monte Carlo approaches for numerical homogenization
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2015, 13 (4), pp.1107-1135. ⟨10.1137/130905836⟩
hal-01583245v1  Conference papers
Ludovic ChamoinFrédéric LegollClaude Le Bris. Control of the multiscale finite element method using a posteriori error estimation and adaptive strategy
13th National Congress on Computational Mechanics - USNCCM 13, Jul 2015, San Diego, United States
hal-01583204v1  Conference papers
Ludovic ChamoinFrédéric Legoll. Certified multiscale computations based on MsFEM and PGD model reduction
7th European Congress on Computational Methods in Applied Sciences and Engineering - ECCOMAS 2016, Jun 2016, Crete Island, Greece
hal-01581797v1  Conference papers
Frédéric LegollLudovic Chamoin. A posteriori error estimation for multiscale computations based on MsFEM
14th National Congress on Computational Mechanics - USNCCM14, Jul 2017, Montréal, Canada
hal-01586825v1  Journal articles
Ludovic ChamoinFrédéric Legoll. A posteriori error estimation and adaptive strategy for the control of MsFEM computations
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2018, 336, pp.1-38. ⟨10.1016/j.cma.2018.02.016⟩