Table 3.
Comparison of computation times of our graph-based homogenisation method against standard homogenisation for the isotropic problem with 40% fibrosis that is presented in Section 4.
| Proportion of original nodes |
||||
|---|---|---|---|---|
| 2−2 | 5−2 | 10−2 | 25−2 | |
| Graph-based homogenisation | ||||
| Total time (s) | 144 | 64 | 48 | 44 |
| Monodomain time (s) | 52 | 9 | 4 | 3 |
| Compute Σeff (s) | 72 | 50 | 42 | 39 |
| Monodomain speed up | 4.5 | 27.2 | 63.1 | 82.7 |
| Overall speed up | 1.6 | 3.7 | 4.9 | 5.3 |
| Standard homogenisation | ||||
| Total time (s) | 66 | 13 | 7 | 8 |
| Monodomain time (s) | 54 | 9 | 5 | 6 |
| Compute Σeff (s) | 12 | 3 | 2 | 2 |
| Monodomain speed up | 4.4 | 24.6 | 45.8 | 37.7 |
| Overall speed up | 3.5 | 18.7 | 33.5 | 28.9 |