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REDUCED BASIS NUMERICAL HOMOGENIZATION FOR SCALAR ELLIPTIC EQUATIONS WITH RAN...
We consider a non periodic homogenization model designed to simulate the blood flow at the level of the micro-vascularised tissues. We solve elliptic partial... -
An optimal variance estimate in stochastic homogenization of discrete ellipti...
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Random parking, Euclidean functionals, and rubber elasticity
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Numerical methods for homogenization : applications to random media
In this thesis we investigate numerical methods for the homogenization of materials the structures of which, at fine scales, are characterized by random... -
A class of tensor-valued random fields for random anisotropic elastic microst...
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Quantitative version of the Kipnis-Varadhan theorem and Monte-Carlo approxima...
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Error estimates and convergence rates for the stochastic homogenization of Ha...
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Qualitative and quantitative results in stochastic homogenization
The issue of establishing the status of nonlinear elasticity theory for rubber with respect to the point of view of polymer physics is at the heart of this manuscript.... -
Quantitative stochastic homogenization of elliptic equations in nondivergence...
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Identification of a mesoscale model with multiscale experimental observations
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Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
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Quantitative theory in stochastic homogenization
This article corresponds to a course given by F. Otto at the summer school CEMRACS 2013 in Luminy, France. It is based on a contribution by the authors [GO], which is... -
Stochastic homogenization of interfaces moving with changing sign velocity
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