Abstract
This chapter is devoted to examples of the use of the unfolding method for various linear problems in domains perforated with small holes and with oscillating coefficients. For simplicity, in most cases, we prescribe a homogeneous Dirichlet boundary condition on the outer boundary of the domain, but more general boundary conditions can be handled provided the outer boundary is Lipschitz and the perforations do not intersect it. In each case, we obtain both the unfolded and the classical (standard) form for the limit problem.
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Cioranescu, D., Damlamian, A., Griso, G. (2018). Homogenization in domains with “small holes”. In: The Periodic Unfolding Method . Series in Contemporary Mathematics, vol 3. Springer, Singapore. https://doi.org/10.1007/978-981-13-3032-2_10
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DOI: https://doi.org/10.1007/978-981-13-3032-2_10
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-3031-5
Online ISBN: 978-981-13-3032-2
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