Abstract:
In this thesis, we homogenize elliptic equations in the periodically perforated
domain. The two scale convergence method is used in this work for the homogenization.
In particular, we homogenize the quasilinear elliptic equation with
the dirichlet boundary condition, the time independent incompressible reynolds
equation as well as the elliptic equation of the curl type of which the Maxwell
type equations is a typical example. We obtain the cell problems and the homogenized
equations for the problems which could easily be solved using any
numerical method such as matlab or comsol in place of the original problems
which contain the fast oscillating parameter ".
