119 citations · 535 across the 49 of their papers we have counts for
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An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation
Eric Cances, Virginie Ehrlacher, Frederic Legoll +1
We consider a diffusion equation with highly oscillatory coefficients that admits a homogenized limit. As an alternative to standard corrector problems, we introduce here an embedd…
Periodic homogenization using the Lippmann--Schwinger formalism
Sebastien Brisard, Frederic Legoll
When homogenizing elliptic partial differential equations, the so-called corrector problem is pivotal to compute the macroscale effective coefficients from the microscale informati…
A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization
Frederic Legoll, William Minvielle
We consider a variance reduction approach for the stochastic homogenization of divergence form linear elliptic problems. Although the exact homogenized coefficients are determinist…
A parameter identification problem in stochastic homogenization
F. Legoll, W. Minvielle, A. Obliger +1
In porous media physics, calibrating model parameters through experiments is a challenge. This process is plagued with errors that come from modelling, measurement and computation…