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

Table 1

Comparison of solutions to the macro-model with those to the micro-model for different values of 𝜀 with data as in Example 3.2.

# cells	𝜀	‖𝑒^𝑁𝜀‖∗,𝐿1	𝛼1	‖𝑒^𝑁𝜀‖∗,𝐿2	𝛼2
3×3	1/3	1.1832×10^−2	—	3.2071×10^−2	—
5×5	1/5	7.0915×10^−3	1.0188	1.9044×10^−2	1.0390
7×7	1/7	5.0522×10^−3	1.0077	1.3528×10^−2	1.0164
9×9	1/9	3.9285×10^−3	1.0011	1.0502×10^−2	1.0075
11×11	1/11	3.2162×10^−3	0.9969	8.5890×10^−3	1.0021