On two-scale convergence

Luděk Nechvátal

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 489-495

Abstract: Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definitions by Nguetseng and Allaire, the paper introduces an alternative approach based on Arbogast’s idea of two-scale transform which changes a sequence of one-variable functions into a sequence of two-variable functions. Although it leads to the same convergence, it simplifies some proofs.

Keywords: Two-scale convergence; Weak convergence; Homogenization; Asymptotic analysis (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:489-495

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