Multiscale Asymptotic Analysis and Parallel Algorithm of Parabolic Equation in Composite Materials

Figure 3

Case  2: The solutions in the cross-section 𝑧=0.5625, 𝑡=0.1, 𝜔^∗=100, and 𝑀=100. (a) The homogenized solution 𝑈₀; (b) the first-order multiscale solution 𝑈^𝜀₁; (c) the second-order multiscale solution 𝑈^𝜀₂; (d) the reference solution 𝑢^𝜀.

(a)

(b)

(c)

(d)