Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
نویسندگان
چکیده
منابع مشابه
Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operat...
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The periodic unfolding method was introduced in [4] by D. Cioranescu, A. Damlamian and G. Griso for the study of classical periodic homogenization. The main tools are the unfolding operator and a macro-micro decomposition of functions which allows to separate the macroscopic and microscopic scales. In this paper, we extend this method to the homogenization in domains with holes, introducing the...
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We give a comprehensive presentation of the periodic unfolding method for perforated domains, both when the unit hole is a compact subset of the open unit cell and when this is impossible to achieve. In order to apply the method to boundary-value problems with non homogeneous Neumann conditions on the boundaries of the holes, the properties of the boundary unfolding operator are also extensivel...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2016
ISSN: 0036-1410,1095-7154
DOI: 10.1137/15m101600x