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Cited article:
Antoine Gloria
ESAIM: M2AN, 46 1 (2012) 1-38
Published online: 2011-07-22
This article has been cited by the following article(s):
17 articles
A Simple Collocation-Type Approach to Numerical Stochastic Homogenization
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Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media
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An efficient algorithm for solving elliptic problems on percolation clusters
Chenlin Gu The Annals of Applied Probability 32 (4) (2022) https://doi.org/10.1214/21-AAP1748
Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids
Antti Hannukainen, Jean-Christophe Mourrat and Harmen T. Stoppels ESAIM: Mathematical Modelling and Numerical Analysis 55 S149 (2021) https://doi.org/10.1051/m2an/2020024
An iterative method for elliptic problems with rapidly oscillating coefficients
Scott Armstrong, Antti Hannukainen, Tuomo Kuusi and Jean-Christophe Mourrat ESAIM: Mathematical Modelling and Numerical Analysis 55 (1) 37 (2021) https://doi.org/10.1051/m2an/2020080
Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients
Chenlin Gu Stochastics and Partial Differential Equations: Analysis and Computations 8 (4) 787 (2020) https://doi.org/10.1007/s40072-019-00159-1
The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials
Julian Fischer Archive for Rational Mechanics and Analysis 234 (2) 635 (2019) https://doi.org/10.1007/s00205-019-01400-w
Efficient Methods for the Estimation of Homogenized Coefficients
J.-C. Mourrat Foundations of Computational Mathematics 19 (2) 435 (2019) https://doi.org/10.1007/s10208-018-9389-9
Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
Jonathan Ben-Artzi, Daniel Marahrens and Stefan Neukamm Communications in Partial Differential Equations 42 (2) 179 (2017) https://doi.org/10.1080/03605302.2017.1281298
Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation
Antoine Gloria and Zakaria Habibi Foundations of Computational Mathematics 16 (1) 217 (2016) https://doi.org/10.1007/s10208-015-9246-z
Expository Paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions
Alen Alexanderian Rocky Mountain Journal of Mathematics 45 (3) (2015) https://doi.org/10.1216/RMJ-2015-45-3-703
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
A. Gloria, S. Neukamm and F. Otto Inventiones mathematicae 199 (2) 455 (2015) https://doi.org/10.1007/s00222-014-0518-z
Normal approximation for a random elliptic equation
James Nolen Probability Theory and Related Fields 159 (3-4) 661 (2014) https://doi.org/10.1007/s00440-013-0517-9
Foundation, analysis, and numerical investigation of a variational network-based model for rubber
Antoine Gloria, Patrick Le Tallec and Marina Vidrascu Continuum Mechanics and Thermodynamics 26 (1) 1 (2014) https://doi.org/10.1007/s00161-012-0281-6
Quantitative version of the Kipnis–Varadhan theorem and Monte Carlo approximation of homogenized coefficients
Antoine Gloria and Jean-Christophe Mourrat The Annals of Applied Probability 23 (4) (2013) https://doi.org/10.1214/12-AAP880
Fluctuation of Solutions to Linear Elliptic Equations with Noisy Diffusion Coefficients
Antoine Gloria Communications in Partial Differential Equations 38 (2) 304 (2013) https://doi.org/10.1080/03605302.2012.715319
COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS
ASSYR ABDULLE and GILLES VILMART Mathematical Models and Methods in Applied Sciences 22 (06) (2012) https://doi.org/10.1142/S0218202512500029