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Some remarks on two-scale convergence and periodic unfolding

J. Francu ; Nils Svanstedt (Institutionen för matematiska vetenskaper)
Applications of Mathematics (0862-7940). Vol. 57 (2012), 4, p. 359-375.
[Artikel, refereegranskad vetenskaplig]

The paper discusses some aspects of the adjoint definition of two-scale convergence based on periodic unfolding. As is known this approach removes problems concerning choice of the appropriate space for admissible test functions. The paper proposes a modified unfolding which conserves integral of the unfolded function and hence simplifies the proofs and its application in homogenization theory. The article provides also a self-contained introduction to two-scale convergence and gives ideas for generalization to non-periodic homogenization.

Nyckelord: two-scale convergence, unfolding, homogenization, homogenization



Denna post skapades 2012-11-23. Senast ändrad 2012-11-27.
CPL Pubid: 166568

 

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