1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NA2015★ 1 cited
Special Quasirandom Structures: a selection approach for stochastic homogenization
Claude Le Bris, Frederic Legoll, William Minvielle
We adapt and study a variance reduction approach for the homogenization of elliptic equations in divergence form. The approach, borrowed from atomistic simulations and solid-state…
math.NA2014
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…
math.NA2013
Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem
Frederic Legoll, William Minvielle
We consider a nonlinear convex stochastic homogenization problem, in a stationary setting. In practice, the deterministic homogenized energy density can only be approximated by a r…