On two-scale convergence
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.
Year of publication: |
2003
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Authors: | Nechvátal, Luděk |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 61.2003, 3, p. 489-495
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Publisher: |
Elsevier |
Subject: | Two-scale convergence | Weak convergence | Homogenization | Asymptotic analysis |
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