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Variance reduction in stochastic homogenization: proof of concept, using antithetic variables

https://doi.org/10.1007/bf03322539
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-11795-4_3openalex-snapshot
Some Numerical Approaches for Weakly Random Homogenization
inferredcites →https://doi.org/10.1007/978-3-642-84659-5openalex-snapshot
Homogenization of Differential Operators and Integral Functionals
inferredcites →https://doi.org/10.1007/bf00969174openalex-snapshot
Averaging of symmetric diffusion in random medium
inferredcites →https://doi.org/10.1016/0022-247x(80)90214-0openalex-snapshot
Ergodic theorems, I
inferredcites →https://doi.org/10.1016/j.anihpb.2003.07.003openalex-snapshot
Approximations of effective coefficients in stochastic homogenization
inferredcites →https://doi.org/10.1016/j.crma.2006.09.034openalex-snapshot
Une variante de la théorie de l'homogénéisation stochastique des opérateurs elliptiques
inferredcites →https://doi.org/10.1016/j.crma.2009.10.027openalex-snapshot
Approximation numérique d'une classe de problèmes en homogénéisation stochastique
inferredcites →https://doi.org/10.1016/j.matpur.2007.04.006openalex-snapshot
Stochastic homogenization and random lattices
inferredcites →https://doi.org/10.1016/s0168-2024(08)70174-7openalex-snapshot
Studies in Mathematics and its Applications
inferredcites →https://doi.org/10.1090/chel/374openalex-snapshot
Asymptotic Analysis for Periodic Structures
inferredcites →https://doi.org/10.1093/oso/9780198565543.001.0001openalex-snapshot
An Introduction to Homogenization
inferredcites →https://doi.org/10.1142/s0218202511005507openalex-snapshot
REDUCTION OF THE RESONANCE ERROR — PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS
inferredcites →https://doi.org/10.1214/10-aap745openalex-snapshot
An optimal error estimate in stochastic homogenization of discrete elliptic equations
inferredcites →https://doi.org/10.1515/9783110844641openalex-snapshot
Ergodic Theorems
inferredcites →https://doi.org/10.3934/nhm.2010.5.1openalex-snapshot
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nme.4502openalex-snapshot
Numerical strategy for unbiased homogenization of random materials
inferred← citeshttps://doi.org/10.1007/978-3-031-12801-1_5openalex-snapshot
Approches numériques
inferred← citeshttps://doi.org/10.1007/978-3-031-21833-0_5openalex-snapshot
Numerical Approaches
inferred← citeshttps://doi.org/10.1007/978-3-642-11795-4_3openalex-snapshot
Some Numerical Approaches for Weakly Random Homogenization
inferred← citeshttps://doi.org/10.1007/978-3-642-21943-6_3openalex-snapshot
Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116389openalex-snapshot
A variance reduction strategy for numerical random homogenization based on the equivalent inclusion method
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113728openalex-snapshot
Symmetries in stochastic homogenization and adjustments for the RVE method
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.10.027openalex-snapshot
Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs
inferred← citeshttps://doi.org/10.1051/proc/201445003openalex-snapshot
Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions
inferred← citeshttps://doi.org/10.1051/proc/201448008openalex-snapshot
A parameter identification problem in stochastic homogenization
inferred← citeshttps://doi.org/10.1093/imanum/dru010openalex-snapshot
Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
inferred← citeshttps://doi.org/10.1098/rsta.2015.0168openalex-snapshot
Some variance reduction methods for numerical stochastic homogenization
inferred← citeshttps://doi.org/10.1109/access.2020.3047906openalex-snapshot
A Pseudo-Analytical Mix Sampling Strategy for Reliability Assessment of Power Girds
inferred← citeshttps://doi.org/10.1515/mcma-2016-0101openalex-snapshot
Special quasirandom structures: A selection approach for stochastic homogenization
inferred← citeshttps://doi.org/10.3934/dcdss.2015.8.1openalex-snapshot
Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem
inferred← citeshttps://doi.org/10.48550/arxiv.1402.0982openalex-snapshot
A parameter identification problem in stochastic homogenization
inferred← citeshttps://doi.org/10.48550/arxiv.1407.8029openalex-snapshot
A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization
inferred← citeshttps://doi.org/10.48550/arxiv.1509.01258openalex-snapshot
Special Quasirandom Structures: a selection approach for stochastic homogenization
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