Table A2.

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 $N$ measurements independently disturbed by additive, zero mean, normally distributed noises with standard deviation $\sigma =5 \left[\mathrm{k}\mathrm{P}\mathrm{a}\right]$.

$\mathit{N}$	${\mathit{Q}}_{\mathit{N}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[\mathbf{k}{\mathbf{P}\mathbf{a}}^2\right]$	${\mathit{Q}}_{\mathit{N}\mathit{r}\mathit{e}\mathit{l}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right)\left[-\right]$	$\mathit{Q}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{k}\mathbf{P}\mathbf{a}}^2\right]$	$\mathit{E}\mathit{R}\mathit{R} [\mathbf{\%}]$	${\mathit{\alpha }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{\beta }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{G}}_{\mathit{e}\mathit{N}}^{\ast } \left[\mathbf{k}\mathbf{P}\mathbf{a}\right]$	${\mathit{\tau }}_{\mathit{r}\mathit{N}}^{\ast }\left[\mathbf{s}\right]$
50	1.246174 × 10−4	3.1182072 × 10−3	2.953417 × 10−3	0.501	0.962059	8.720788 × 10−2	2.868287	15.170858
100	6.042548 × 10−4	9.788569 × 10−3	9.505292 × 10−4	0.542	0.950711	5.528005 × 10−2	2.859441	15.193338
200	2.469407 × 10−4	2.622478 × 10−4	4.888504 × 10−3	3.999 × 10−3	0.954563	8.747687 × 10−2	3.067250	14.289093
500	5.754599 × 10−4	1.136117 × 10−7	5.288353 × 10−4	1.1543 × 10−4	0.917799	1.594113 × 10−2	3.090037	12.837417
1000	4.8724914 × 10−4	6.769619 × 10−4	5.261736 × 10−4	2.129 × 10−4	0.921142	1.374989 × 10−2	3.082219	12.926718
2000	4.8687842 × 10−4	3.040833 × 10−7	5.400918 × 10−4	5.345 × 10−2	0.929234	2.394509 × 10−2	3.015365	13.557098
5000	5.4973567 × 10−4	3.940686 × 10−6	5.211862 × 10−4	3.026 × 10−4	0.920472	1.459525 × 10−2	3.081354	12.984135
7000	5.401956 × 10−4	1.559930 × 10−6	5.214093 × 10−4	1.573 × 10−4	0.920350	1.428889 × 10−2	3.082852	12.979817
10,000	5.261243 × 10−4	2.744246 × 10−6	5.221499 × 10−4	5.516 × 10−4	0.920905	1.446157 × 10−2	3.079473	12.979817
12,000	5.356062 × 10−4	5.782985 × 10−5	5.208668 × 10−4	2.386 × 10−5	0.920122	1.495904 × 10−2	3.085216	12.942422
15,000	5.457918 × 10−4	4.535517 × 10−6	5.205517 × 10−4	2.513 × 10−7	0.919980	1.477095 × 10−2	3.086569	12.949456