Rates of Convergence for a Homogenization Problem in Highly Oscillating Thin Domains
Marcone Corra Pereira, da Silva · 2012
ABSTRACT: We combine methods from linear homogenization theory to get error estimates for the first and second terms of the asymptotic expansion on the multiple-scale method of the solutions of the Laplace’s Equation with Neumann boundary conditions posed in an one parameter family of domains R ⊂ R2 with highly oscillating boundary and which collapse on one dimension set as the parameter → 0. AMS (MOS) Subject Classification. 35B27, 74Q05, 74K10 1