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A parameter identification problem in stochastic homogenization

Frédéric Legoll , William Minvielle , Amaël Obliger , Marielle Simon
ESAIM: Proceedings, 2015, 48, pp.190-214. ⟨10.1051/proc/201448008⟩
Journal articles hal-00942730v1
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Long-time averaging for integrable Hamiltonian dynamics

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Frédéric Legoll , et al.
Numerische Mathematik, 2005, 100 (2), pp.211--232. ⟨10.1007/s00211-005-0599-0⟩
Journal articles hal-00798337v1
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Multiscale methods coupling atomistic and continuum mechanics: analysis of a simple case

Xavier Blanc , Claude Le Bris , Frédéric Legoll
8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France
Conference papers hal-01508995v1
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Integrators for highly oscillatory Hamiltonian systems: an homogenization approach

Claude Le Bris , Frédéric Legoll
Discrete and Continuous Dynamical Systems - Series B, 2010, 13 (2), pp.347-373
Journal articles inria-00165293v2

Multiscale methods coupling atomistic and continuum mechanics: some examples of mathematical analysis

Frédéric Legoll
Analytical and Numerical Aspects of Partial Differential Equations, de Gruyter, pp.193-245, 2009, Proceedings in Mathematics
Book sections hal-00519766v1

Multiscale computations with MsFEM: a posteriori error estimation, adaptive strategy, and coupling with PGD model reduction

Ludovic Chamoin , Frédéric Legoll
8th International Conference on Multiscale Materials Modeling - MMM2016, Oct 2016, Dijon, France
Conference papers hal-01583202v1

Certified multiscale computations based on MsFEM and PGD model reduction

Ludovic Chamoin , Frédéric Legoll
7th European Congress on Computational Methods in Applied Sciences and Engineering - ECCOMAS 2016, Jun 2016, Crete Island, Greece
Conference papers hal-01583204v1

Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example

Rutger Biezemans , Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Journal of Computational Physics, 2023, 477, pp.111914. ⟨10.1016/j.jcp.2023.111914⟩
Journal articles hal-03643103v1

A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Claude Le Bris , Frédéric Legoll , François Madiot
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (3), pp.851-888
Journal articles hal-01235642v1
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Contributions à l'étude mathématique et numérique de quelques modèles en simulation multi-échelle des matériaux

Frédéric Legoll
Analyse numérique [math.NA]. Université Pierre et Marie Curie - Paris VI, 2011
Habilitation à diriger des recherches tel-00783334v1

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods

Rutger A. Biezemans , Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Comptes Rendus. Mécanique, 2023, 351 (1), ⟨10.5802/crmeca.178⟩
Journal articles hal-03884721v1

MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Chinese Annals of Mathematics - Series B, 2013, 34 (1), pp.113-138. ⟨10.1007/s11401-012-0755-7⟩
Journal articles istex hal-00789102v1

Special Quasirandom Structures: a selection approach for stochastic homogenization

Claude Le Bris , Frédéric Legoll , William Minvielle
Monte Carlo Methods and Applications, 2016, 22 (1), pp.25-54
Journal articles hal-01194480v1

Multiscale computations based on MsFEM: model reduction and goal-oriented a posteriori error estimation

Frédéric Legoll , Ludovic Chamoin
8th International Conference on Adaptive Modeling and Simulation - ADMOS 2017, Jun 2017, Verbania, Italy
Conference papers hal-01583144v1

Symmetric parareal algorithms for Hamiltonian systems

Xiaoying Dai , Claude Le Bris , Frédéric Legoll , Yvon Maday
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (3), pp.717-742. ⟨10.1051/m2an/2012046⟩
Journal articles hal-00541166v1

Effective dynamics using conditional expectations

Frédéric Legoll , Tony Lelièvre
Nonlinearity, 2010, 23 (9), pp.2131-2163. ⟨10.1088/0951-7715/23/9/006⟩
Journal articles hal-00399986v1

An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm
Comptes Rendus. Mathématique, 2015, 353 (9), pp.801-806. ⟨10.1016/j.crma.2015.06.019⟩
Journal articles hal-01100681v1
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Quelques modèles effectifs pour la modélisation de matériaux à l'échelle atomistique à température finie

Frédéric Legoll
10e colloque national en calcul des structures, May 2011, Giens, France. pp.Clé USB
Conference papers hal-00592849v1
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An adaptive parareal algorithm: application to the simulation of molecular dynamics trajectories

Frédéric Legoll , Tony Lelièvre , Upanshu Sharma
SIAM Journal on Scientific Computing, 2022, 44 (1), pp.B146-B176. ⟨10.1137/21M1412979⟩
Journal articles hal-03189428v2
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Asymptotic Behavior of Green Functions of Divergence form Operators with Periodic Coefficients

Xavier Blanc , Frédéric Legoll , Arnaud Anantharaman
Applied Mathematics Research eXpress, 2013, 2013, pp.79 - 101. ⟨10.1093/amrx/abs013⟩
Journal articles hal-01079280v1

Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem

Frédéric Legoll , William Minvielle
Discrete and Continuous Dynamical Systems - Series S, 2015, 8 (1), pp.1-27. ⟨10.3934/dcdss.2015.8.1⟩
Journal articles hal-00784187v1

Free energy calculations: An efficient adaptive biasing potential method

Bradley M. Dickson , Frédéric Legoll , Tony Lelièvre , Gabriel Stoltz , Paul Fleurat-Lessard
Journal of Physical Chemistry B, 2010, 114 (17), pp.5823-5830. ⟨10.1021/jp100926h⟩
Journal articles hal-00431332v1

Approximation numérique d'une classe de problèmes en homogénéisation stochastique

Ronan Costaouec , Claude Le Bris , Frédéric Legoll
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (1-2), pp.99--103. ⟨10.1016/j.crma.2009.10.027⟩
Journal articles hal-00524819v1

A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations

Frédéric Legoll , Tony Lelièvre , Giovanni Samaey
SIAM Journal on Scientific Computing, 2013, 35 (4), pp.A1951-A1986. ⟨10.1137/120872681⟩
Journal articles hal-00691939v1

A temperature control technique for nonequilibrium molecular simulation

Benedict Leimkuhler , Frédéric Legoll , Emad Noorizadeh
Journal of Chemical Physics, 2008, 128 (7), pp.074105. ⟨10.1063/1.2829869⟩
Journal articles hal-01986798v1

Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case

Xavier Blanc , Claude Le Bris , Frédéric Legoll
Acta Mathematicae Applicatae Sinica, 2007, 23 (2), pp.209-216. ⟨10.1007/s10255-007-0364-5⟩
Journal articles istex hal-01986858v1

Beyond multiscale and multiphysics: Multimaths for model coupling

Xavier Blanc , Claude Le Bris , Frédéric Legoll , Tony Lelièvre
Networks and Heterogeneous Media, 2010, 5 (3), pp.423--460. ⟨10.3934/nhm.2010.5.423⟩
Journal articles hal-00524822v1

Some improvements of the ART method for finding transition pathways on potential energy surfaces

E. Cancès , Frédéric Legoll , M. -C. Marinica , K. Minoukadeh , F. Willaime
Journal of Chemical Physics, 2009, 130, pp.114711. ⟨10.1063/1.3088532⟩
Journal articles hal-00407176v1

High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations.

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Claude Le Bris , et al.
Journal of Chemical Physics, 2004, 121 (21), pp.10346-55. ⟨10.1063/1.1794611⟩
Journal articles hal-00536562v1

Goal-oriented error estimation and adaptivity in MsFEM computations

Ludovic Chamoin , Frédéric Legoll
Computational Mechanics, 2021, 67 (4), pp.1201-1228. ⟨10.1007/s00466-021-01990-x⟩
Journal articles hal-02262423v1