Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Article number111761
Journal / PublicationJournal of Computational Physics
Online published17 Nov 2022
Publication statusPublished - 1 Feb 2023


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.

Research Area(s)

  • Homogenization, MsFEM, Multicontinuum, Multiscale, Porous media, Upscaling