A corrector result for an electrostatic model of interdigitated combs

In this article, we consider two opposite and intergitated 2D-combs, each one with ε-periodically distributed fingers, each finger having cross-section of order ε and fixed height. Via an asymptotic analysis based on the two-scale convergence method, we study, as ε vanishes, the electrical potential in the vacuum between these two combs when one comb is grounded while the voltage in the other one is assumed of order ε, and we prove a corrector result.