Homogenization of a mixed boundary condition
Eduard Marušić‐Paloka, Igor Pažanin · Applicable Analysis · 2022
We study the asymptotic behavior of the periodically mixed boundary value problem. The Dirichlet and Neumann boundary conditions are non-homogeneous and periodically mixed with small period ε. Using asymptotic analysis with respect to ε≪1, we derive an asymptotic approximation that has boundary condition of the Robin type. We justify the obtained condition by proving an appropriate error estimate.