Status: Bibliographieeintrag
Standort: ---
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| Online-Ressource |
Verfasst von: | Trucu, Dumitru [VerfasserIn]  |
| Chaplain, Mark [VerfasserIn]  |
| Marciniak-Czochra, Anna [VerfasserIn]  |
Titel: | Three-scale convergence for processes in heterogeneous media |
Verf.angabe: | D. Trucu, M.A.J. Chaplain, A. Marciniak-Czochra |
Umfang: | 23 S. |
Fussnoten: | Published online: 15 Apr 2011 ; Gesehen am 16.08.2017 |
Titel Quelle: | Enthalten in: Applicable analysis |
Jahr Quelle: | 2012 |
Band/Heft Quelle: | 91(2012), 7, S. 1351-1373 |
ISSN Quelle: | 1563-504X |
Abstract: | In this article, we propose a new notion of multiscale convergence, called ‘three-scale’, which aims to give a topological framework in which to assess complex processes occurring at three different scales or levels within a heterogeneous medium. This generalizes and extends the notion of two-scale convergence, a well-established concept that is now commonly used for obtaining an averaged, asymptotic value (homogenization) of processes that exist on two different spatial scales. The well-posedness of this new concept is justified via a compactness theorem which ensures that all bounded sequences in L 2(Ω) are relative compact with respect to the three-scale convergence. This is taken further by giving a boundedness characterization of three-scale convergent sequences and is then continued with the introduction of the notion of ‘strong three-scale convergence’ whose well-posedness is also discussed. Finally, the three-scale convergence of the gradients is established. |
DOI: | doi:10.1080/00036811.2011.569498 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Verlag: http://dx.doi.org/10.1080/00036811.2011.569498 |
| Verlag: http://www.tandfonline.com/doi/full/10.1080/00036811.2011.569498?scroll=top&needAccess=true |
| DOI: https://doi.org/10.1080/00036811.2011.569498 |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1562459406 |
Verknüpfungen: | → Zeitschrift |
Three-scale convergence for processes in heterogeneous media / Trucu, Dumitru [VerfasserIn] (Online-Ressource)
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