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arXiv · 2208.04005

Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

Yalchin Efendiev·Wing Tat Leung
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Abstract

In this paper, we present a general derivation of multicontinuum equations and discuss cell problems. We present constraint cell problem formulations in a representative volume element and oversampling techniques that allow reducing boundary effects. We discuss different choices of constraints for cell problems. We present numerical results that show how oversampling reduces boundary effects. Finally, we discuss the relation of the proposed methods to our previously developed methods, Nonlocal Multicontinuum Approaches.

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Yalchin Efendiev, Wing Tat Leung. 2022-08-08. Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. https://doi.org/10.1016/j.jcp.2022.111761

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