Homogenization of a stationary periodic Maxwell system
Tatiana Aleksandrovna Suslina · St Petersburg Mathematical Journal · 2005
The homogenization problem is considered for a stationary periodic Maxwell system in $\mathbb {R}^3$ in the small period limit. The behavior of four fields is studied, namely, of the strength of the electric field, the strength of the magnetic field, the electric displacement vector, and the magnetic displacement vector. Each field is represented as a sum of two terms. For some terms uniform approximations in the $L_2(\mathbb {R}^3)$-norm are obtained, together with a precise order estimate for the remainder term.