Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients

Table 2

Comparison of error order.

∇(𝑢^∗−𝑢^ℎ0,ℎ1)dist(⋅,𝜕Ω)+𝜀𝐿^2(Ω)	𝑂 (1)
∇(𝑢^∗−𝑢^ℎ0,ℎ1,ℎ)dist(⋅,𝜕Ω)+𝜀𝐿^2(Ω)	𝑂 ((ℎ1+ℎ0+𝜀+ℎ^2)|ln𝜀|)