Research Article

Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model

Table 2

Comparison of the macro-model to the micro-model for different values of 𝜀 as in Example 3.3.

# cells 𝜀 𝑒 𝑁 𝜀 , 𝐿 1 𝛼 1 𝑒 𝑁 𝜀 , 𝐿 2 𝛼 2

3 × 3 1 / 3 1 . 1 4 4 6 × 1 0 2 3 . 0 7 1 5 × 1 0 2
5 × 5 1 / 5 7 . 0 0 6 5 × 1 0 3 1 . 0 4 0 8 1 . 8 3 8 7 × 1 0 2 0 . 9 9 5 6
7 × 7 1 / 7 5 . 1 5 4 1 × 1 0 3 1 . 0 9 5 8 1 . 3 3 6 3 × 1 0 2 1 . 0 5 4 3
9 × 9 1 / 9 4 . 1 7 0 4 × 1 0 3 1 . 1 8 6 7 1 . 0 6 8 4 × 1 0 2 1 . 1 2 3 2
1 1 × 1 1 1 / 1 1 3 . 5 7 9 4 × 1 0 3 1 . 3 1 3 1 9 . 0 4 6 0 × 1 0 3 1 . 2 0 5 8