Table A1.

The elements ${\alpha }_N^{\ast }$, ${\beta }_N^{\ast }$, $G_{eN}^{\ast }$ and ${\tau }_{rN}^{\ast }$ of the FMM parameter vector ${\mathit{g}}_N^{\ast }$ solving identification task (25) for real relaxation modulus (36) of the material described by the unimodal Gauss-like distribution, the mean-square identification indices $Q_N\left({\mathit{g}}_N^{\ast }\right)$, Equation (24), the mean relative square model approximation index $Q_{Nrel}\left({\mathit{g}}_N^{\ast }\right)$, Equation (38), the sampling points-independent integral indices $Q\left({\mathit{g}}_N^{\ast }\right)$ defined by the optimization task (26), and the relative errors $ERR$ (37) of the FMM parameter ${\mathit{g}}^{\ast }$ approximation for $N$ relaxation modulus measurements independently disturbed by additive, zero mean, normally distributed noises with standard deviation $\sigma =2 \left[\mathrm{k}\mathrm{P}\mathrm{a}\right]$.

$\mathit{N}$	${\mathit{Q}}_{\mathit{N}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{k}\mathbf{P}\mathbf{a}}^2\right]$	${\mathit{Q}}_{\mathit{N}\mathit{r}\mathit{e}\mathit{l}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right)\left[-\right]$	$\mathit{Q}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{k}\mathbf{P}\mathbf{a}}^2\right]$	$\mathit{E}\mathit{R}\mathit{R} [\mathbf{\%}]$	${\mathit{\alpha }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{\beta }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{G}}_{\mathit{e}\mathit{N}}^{\ast } \left[\mathbf{k}\mathbf{P}\mathbf{a}\right]$	${\mathit{\tau }}_{\mathit{r}\mathit{N}}^{\ast }\left[\mathbf{s}\right]$
50	9.295186 × 10−5	2.102093 × 10−3	2.863765 × 10−3	0.527	0.963788	8.644275 × 10−2	2.862573	15.170858
100	5.614324 × 10−4	5.907274 × 10−5	1.350707 × 10−3	1.224	0.965614	7.207174 × 10−2	2.745219	16.225154
200	2.185904 × 10−4	1.109724 × 10−4	4.959376 × 10−3	4.537 × 10−3	0.954725	8.815551 × 10−2	3.065976	14.289093
500	5.559271 × 10−4	5.053629 × 10−5	5.262647 × 10−4	7.740 × 10−3	0.915232	1.261495 × 10−2	3.113879	12.68090
1000	4.594139 × 10−4	1.476206 × 10−4	5.268387 × 10−4	3.104 × 10−4	0.920937	1.341017 × 10−2	3.081285	12.926718
2000	4.668059 × 10−4	3.243456 × 10−6	5.396114 × 10−4	5.315 × 10−2	0.929099	2.375304 × 10−2	3.015563	13.557098
5000	5.289533 × 10−4	3.282759 × 10−7	5.213213 × 10−4	2.876 × 10−4	0.920502	1.445854 × 10−2	3.081489	12.984136
7000	5.224292 × 10−4	3.978418 × 10−6	5.215398 × 10−4	1.654 × 10−4	0.920364	1.419721 × 10−2	3.082754	12.979817
10,000	5.082251 × 10−4	3.739909 × 10−6	5.219846 × 10−4	9.301 × 10−5	0.920327	1.391317 × 10−2	3.083746	12.942422
12,000	5.150186 × 10−4	1.363350 × 10−5	5.208965 × 10−4	1.689 × 10−5	0.920187	1.504288 × 10−2	3.085455	12.942422
15,000	5.247854 × 10−4	3.687418 × 10−6	5.205439 × 10−4	1.938 × 10−8	0.920014	1.472034 × 10−2	3.086680	12.949456