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tel-00783334v1  HDR
Frédéric Legoll. Contributions à l'étude mathématique et numérique de quelques modèles en simulation multi-échelle des matériaux
Analyse numérique [math.NA]. Université Pierre et Marie Curie - Paris VI, 2011
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hal-01510158v1  Pré-publication, Document de travail
Marc Josien, Yves-Patrick Pellegrini, Frédéric Legoll, Claude Le Bris. Fourier-based numerical approximation of the Weertman equation for moving dislocations
2017
hal-00511221v1  Chapitre d'ouvrage
Frédéric Legoll, Tony Lelievre. Some remarks on free energy and coarse-graining
Engquist, Björn; Runborg, Olof; Tsai, Yen-Hsi R. (Eds.). Numerical analysis and multiscale computations, Springer, 420 p., 2012, Series: Lecture Notes in Computational Science and Engineering, Vol. 82
hal-01095102v1  Communication dans un congrès
Ignacio G Tejada, Laurent Brochard, Gabriel Stoltz, Frédéric Legoll, Tony Lelièvre et al.  Combining a reactive potential with a harmonic approximation for molecular dynamics simulation of failure: construction of a reduced potential
3rd International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE), Aug 2014, Madrid, Spain. Journal of Physics: Conference Series, 574 (1), pp.012041, 2015, <10.1088/1742-6596/574/1/012041>
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inria-00457946v1  Article dans une revue
Ronan Costaouec, Claude Le Bris, Frédéric Legoll. Variance reduction in stochastic homogenization : proof of concept, using antithetic variables
Boletín de la Sociedad Española de Matemática Aplicada, non précisé, 2010, 50, pp.9-27
hal-00776287v1  Article dans une revue
Yalchin Efendiev, Cornelia Kronsbein, Frédéric Legoll. Multi-Level 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
hal-00942730v1  Article dans une revue
Frédéric Legoll, William Minvielle, Amaël Obliger, Marielle Simon. A parameter identification problem in stochastic homogenization
ESAIM: Proceedings, EDP Sciences, 2015, 48, pp.190-214
hal-00534914v1  Article dans une revue
Frédéric Legoll, Mitchell Luskin, Richard Moeckel. Non-ergodicity of Nosé-Hoover dynamics
Nonlinearity, IOP Publishing, 2009, 22 (7), pp.1673-1694
hal-00399986v1  Article dans une revue
Frédéric Legoll, Tony Lelievre. Effective dynamics using conditional expectations
Nonlinearity, IOP Publishing, 2010, 23 (9), pp.2131-2163. <10.1088/0951-7715/23/9/006>
hal-00519766v1  Chapitre d'ouvrage
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-00624354v1  Chapitre d'ouvrage
Arnaud Anantharaman, Ronan Costaouec, Claude Le Bris, Frédéric Legoll, Florian 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
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inria-00071708v1  Rapport
Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris et al.  High-order averaging schemes with error bounds for thermodynamical properties calculations by MD simulations
[Research Report] RR-4875, INRIA. 2003
hal-00789102v1  Article dans une revue
Claude Le Bris, Frédéric Legoll, Alexei Lozinski. MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems
Chinese Annals of Mathematics, Series B, 2013, 34 (1), pp.113-138. <10.1007/s11401-012-0755-7>
hal-00841308v1  Article dans une revue
Claude Le Bris, Frédéric Legoll, Alexei Lozinski. An MsFEM type approach for perforated domains
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2014, 12 (3), pp.1046-1077
hal-00626012v1  Chapitre d'ouvrage
Xavier Blanc, Ronan Costaouec, Claude Le Bris, Frédéric Legoll. Variance reduction in stochastic homogenization: the technique of antithetic variables
Numerical Analysis and Multiscale Computations, Springer-Verlag, pp.vol. 82, 47-70, 2012, Lecture Notes in Computational Science and Engineering, <10.1007/978-3-642-21943-6_3>
hal-00794038v1  Article dans une revue
Xavier Blanc, Ronan Costaouec, Claude Le Bris, Frédéric Legoll. Variance reduction in stochastic homogenization using antithetic variables
Markov Processes and Related Fields, Polymath, 2012, 18 (1), pp.31-66
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hal-01508995v1  Communication dans un congrès
Xavier Blanc, Claude Le Bris, Frédéric Legoll. Multiscale methods coupling atomistic and continuum mechanics: analysis of a simple case
8e Colloque national en calcul des structures, May 2007, Giens, France. 2007
hal-00524814v1  Article dans une revue
Matthew Dobson, Claude Le Bris, Frédéric Legoll. Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2013, 33 (1), pp.30-56
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hal-00798337v1  Article dans une revue
Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Frédéric Legoll et al.  Long-time averaging for integrable Hamiltonian dynamics
Numerische Mathematik, Springer Verlag, 2005, 100 (2), pp.211--232. <10.1007/s00211-005-0599-0>
hal-01053459v1  Article dans une revue
Frédéric Legoll, William 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-00524822v1  Article dans une revue
Xavier Blanc, Claude Le Bris, Frédéric Legoll, Tony Lelievre. Beyond multiscale and multiphysics: Multimaths for model coupling
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2010, 5 (3), pp.423--460. <10.3934/nhm.2010.5.423>
hal-00431332v1  Article dans une revue
Bradley M. Dickson, Frédéric Legoll, Tony Lelievre, Gabriel Stoltz, Paul Fleurat-Lessard. Free energy calculations: An efficient adaptive biasing potential method
Journal of Physical Chemistry B, American Chemical Society, 2010, 114 (17), pp.5823-5830. <10.1021/jp100926h>
hal-00691939v1  Article dans une revue
Frédéric Legoll, Tony Lelievre, Giovanni 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-00608036v1  Article dans une revue
Alessandra Iacobucci, Frédéric Legoll, Stefano Olla, Gabriel Stoltz. Negative thermal conductivity of chains of rotors with mechanical forcing
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2011, 84, pp.061108. <10.1103/PhysRevE.84.061108>
hal-00849048v1  Article dans une revue
Ellad Tadmor, Frédéric Legoll, W. Kim, Laurent Dupuy, Ron Miller. Finite-Temperature Quasi-Continuum
Applied Mechanics Reviews, American Society of Mechanical Engineers, 2013, 65 (1), pp.010803. <10.1115/1.4023013>
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cea-01302986v2  Article dans une revue
Thomas Jourdan, Gabriel Stoltz, Frédéric Legoll, Laurent Monasse. An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach
Computer Physics Communications, Elsevier, 2016, 207, pp.170. <10.1016/j.cpc.2016.06.001>
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