Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain
Gregory Aleksandrovich Chechkin, Andrey Lvovich Piatnitski · Applicable Analysis · 1998
We consider a model homogenization problem for the Poisson equation in a locally periodic perforated domain with the smooth exterior boundary, the Fourier boundary condition being posed on the boundary of the holes. In the paper we construct the leading terms of formal asymptotic expansion. Then, we justify the asymptotics obtained and estimate the residual.