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. 2022 Jun 15;459:None. doi: 10.1016/j.jcp.2022.111126

Table B.4.

Comparison of computation times of our graph-based homogenisation method against standard homogenisation for the anisotropic problem with 15% fibrosis that are presented in Section 4.

Proportion of original nodes
2−2 5−2 10−2 25−2
Graph-based homogenisation
Total time (s) 222 86 68 65
Monodomain time (s) 108 16 8 10
Compute Σeff (s) 91 64 57 53



Monodomain speed up 3.2 21.5 42.2 34.9
Overall speed up 1.6 4.1 5.2 5.4

Standard homogenisation
Total time (s) 90 17 9 12
Monodomain time (s) 81 13 7 8
Compute Σeff (s) 10 3 2 3



Monodomain speed up 4.3 26.5 50.6 42.4
Overall speed up 3.9 21.1 37.5 30.0