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. Author manuscript; available in PMC: 2022 Aug 1.
Published in final edited form as: J Comput Phys. 2022 Aug;463:111266. doi: 10.1016/j.jcp.2022.111266

Table 9.

Fitting results in terms of fitted scaling parameters and measures of goodness of fit for the two example cases executed using the reduced HO constitutive law with parameters from literature [39] (no init) as initial guess and with an MFF initialization step (init). Outcomes of the CFF method, optimizing one, two, or three parameters, nopt = {1, 2, 3}, are listed with number of iterations (it.) of the Nelder–Mead algorithm.

Case 06-CoA Case 03-AS
Fitted Parameters Goodness of Fit Fitted Parameters Goodness of Fit
Mode n opt it. a scale [bscaleiso] [bscaleaniso] r V0,rel r An,rel it. a scale [bscaleiso] [bscaleaniso] r V0,rel r An,rel
[%Veddat] [% Aklotz] [%Veddat] [% Aklotz]
init 1 17 0.3475 0.5000 0.5000 0.027 11.13 9 0.2982 0.5000 0.5000 0.024 14.72
2 46 0.2365 0.6493 0.6493 0.002 8.30 73 0.2588 0.5252 0.5252 0.001 15. 43
3 94 0.2371 0.6827 0.6274 0.001 8.20 78 0.2571 0.5524 0.5144 0.002 15.59
no init 1 20 0.3477 0.5000 0.5000 0.025 11.15 22 0.2969 0.5000 0.5000 0.016 14.72
2 41 0.5427 0.3255 0.3255 0.009 28.13 80 0.2587 0.5252 0.5252 0.000 15. 40
3 130 0.2382 0.7321 0.5948 0.008 8.43 167 0.2588 0.5979 0.4881 0.001 15.03