Table A3.

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 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 parameter ${\mathit{g}}^{\ast }$ approximation for $N$ measurements independently disturbed by additive, zero mean, normally distributed noises with standard deviation $\sigma =8 \left[\mathrm{k}\mathrm{P}\mathrm{a}\right]$.

$\mathit{N}$	${\mathit{Q}}_{\mathit{N}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{k}\mathbf{P}\mathbf{a}}^2\right]$	${\mathit{Q}}_{\mathit{N}\mathit{r}\mathit{e}\mathit{l}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right)\left[-\right]$	$\mathit{Q}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[\mathbf{k}{\mathbf{P}\mathbf{a}}^2\right]$	$\mathit{E}\mathit{R}\mathit{R} [\mathbf{\%}]$	${\mathit{\alpha }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{\beta }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{G}}_{\mathit{e}\mathit{N}}^{\ast } \left[\mathbf{k}\mathbf{P}\mathbf{a}\right]$	${\mathit{\tau }}_{\mathit{r}\mathit{N}}^{\ast }\left[\mathbf{s}\right]$
50	1.823164 × 10−4	4.314509 × 10−3	2.993805 × 10−3	0.504	0.961565	8.769949 × 10−2	2.867641	15.1708579
100	6.647523 × 10−4	0.353591	9.411604 × 10−4	0.517	0.949857	5.428199 × 10−2	2.864822	15.193338
200	2.961081 × 10−4	4.334879 × 10−4	4.686224 × 10−3	4.277 × 10−3	0.954203	8.597868 × 10−2	3.066582	14.289093
500	6.078210 × 10−4	2.946700 × 10−5	5.271033 × 10−4	3.193 × 10−4	0.918084	1.579814 × 10−2	3.092238	12.837417
1000	5.328032 × 10−4	2.789884 × 10−3	5.267889 × 10−4	1.300 × 10−4	0.921325	1.356372 × 10−2	3.083203	12.926718
2000	5.248407 × 10−4	3.026647 × 10−7	5.403471 × 10−4	5.202 × 10−2	0.929297	2.403479 × 10−2	3.016320	13.557098
5000	5.883023 × 10−4	1.431097 × 10−5	5.210845 × 10−4	3.179 × 10−4	0.920442	1.473303 × 10−2	3.081219	12.984135
7000	5.759879 × 10−4	1.780341 × 10−7	5.220610 × 10−4	2.087 × 10−3	0.921658	1.538542 × 10−2	3.072622	13.066791
10,000	5.616302 × 10−4	2.127802 × 10−6	5.220589 × 10−4	5.578 × 10−4	0.920855	1.448935 × 10−2	3.079433	12.979817
12,000	5.739756 × 10−4	2.163690 × 10−4	5.211071 × 10−4	8.574 × 10−4	0.921109	1.594595 × 10−2	3.077685	13.006321
15,000	5.843841 × 10−4	5.116492 × 10−6	5.207537 × 10−4	4.857 × 10−4	0.920823	1.552819 × 10−2	3.079921	13.006321