Paper Info
Title
The two-scale Fourier transform approach to homogenization; periodic homogenization in Fourier space.
Abstract
A two-scale Fourier transform for periodic homogenization in Fourier space is introduced. The transform connects the various existing techniques for periodic homogenization, i.e., two-scale convergence, periodic unfolding and the Floquet Bloch expansion approach to homogenization. It turns out that the two-scale compactness results are easily obtained by the use of the two-scale Fourier transform. Moreover, the Floquet-Bloch eigenvalue problems for differential operators is recovered in a natural and straight forward way by the use of this transform. The transform is generalized to the (N+1)-scale case.
Year
DOI
Venue
2009
10.3233/ASY-2008-0914
ASYMPTOTIC ANALYSIS
Keywords
Field
DocType
two-scale Fourier transform,two-scale convergence,weak convergence,homogenization,two-scale transform,periodic unfolding,periodic extension,Floquet-Bloch homogenization
Frequency domain,Discrete-time Fourier transform,Fourier analysis,Homogenization (chemistry),Mathematical analysis,Fourier transform,Fourier transform on finite groups,Periodic graph (geometry),Floquet theory,Mathematics
Journal
Volume
Issue
ISSN
62
1-2
0921-7134
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Niklas Wellander162.85