Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L~∞(Ω)
He Wen · 2010
In this paper,we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the form xi(aij(xe) uex(jx)) = f(x).Assuming n = 2 and u0 ∈ W 1,∞(Ω),we present an error estimate between the homogenization solution u0(x) and the exact solution ue(x) on the Sobolev space L∞(Ω).