Some remarks on two-scale convergence and periodic unfolding
- 1 August 2012
- journal article
- Published by Institute of Mathematics, Czech Academy of Sciences in Applications of Mathematics
- Vol. 57 (4), 359-375
- https://doi.org/10.1007/s10492-012-0021-z
Abstract
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.Keywords
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