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Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures

Niklas Wellander, Sebastién Guenneau, Elena Cherkaev

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Source: Crossref

Published: Feb 14, 2017

DOI: 10.1002/mma.4345

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Source abstract

We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space. The characterization of two‐scale cut‐and‐projection convergence limits of partial differential operators is presented. Copyright © 2017 John Wiley & Sons, Ltd.

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Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures — Mathematical Frontier Network