The periodic unfolding method in domains with holes
D Cioranescu, A Damlamian, P Donato, G Griso… - SIAM Journal on …, 2012 - SIAM
SIAM Journal on Mathematical Analysis, 2012•SIAM
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
nonhomogeneous Neumann conditions on the boundaries of the holes, the properties of the
boundary unfolding operator are also extensively studied. The paper concludes with
applications to such problems and examples of reiterated unfolding.
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
nonhomogeneous Neumann conditions on the boundaries of the holes, the properties of the
boundary unfolding operator are also extensively studied. The paper concludes with
applications to such problems and examples of reiterated unfolding.
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 nonhomogeneous Neumann conditions on the boundaries of the holes, the properties of the boundary unfolding operator are also extensively studied. The paper concludes with applications to such problems and examples of reiterated unfolding.
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