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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014010826
pages 423-450

HOMOGENIZATION OF THE SPECTRAL EQUATION IN ONE DIMENSION

Thi Trang Nguyen
FEMTO-ST Institute, Departement Temps-Frequence, 26 Chemin de l'Epitaphe, 25000 Besancon, France
Michel Lenczner
FEMTO-ST, Departement Temps-Frequence, University of Franche-Comte, 26 Chemin de l'Epitaphe, 25030 Besancon Cedex, France
Matthieu Brassart
Laboratoire de Mathematiques de Besancon, University of Franche-Comte, France

Краткое описание

The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high-frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and macroscopic eigenmodes. Numerical simulation results are provided to corroborate the theory.


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