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Table 3 Mechanical response of a NCB under external loading

From: Accelerated construction of projection-based reduced-order models via incremental approaches

 

\(\max \limits _{\mu \in \mathcal {P}_{\textrm{train}}} E^{\textrm{max}}_\mu (\cdot )\)

\( E^{\textrm{max}}_\mu (\cdot )/n_{\textrm{train}}\)

\(\max \limits _{\mu \in \mathcal {P}_{\textrm{train}}} E^{\textrm{avg}}_\mu (\cdot )\)

\( E^{\textrm{avg}}_\mu (\cdot )/n_{\textrm{train}}\)

\(N_{\textrm{H}2}\)

\(2.86\cdot 10^{-2}\)

\(6.55\cdot 10^{-4}\)

\(2.86\cdot 10^{-2}\)

\(3.91\cdot 10^{-5}\)

\(\varepsilon _{tt}-E\)

\(4.42\cdot 10^{-2}\)

\(7.68\cdot 10^{-3}\)

\(7.87\cdot 10^{-3}\)

\(4.84\cdot 10^{-3}\)

\(\varepsilon _{zz}-E\)

\(5.03\cdot 10^{-2}\)

\(1.09\cdot 10^{-2}\)

\(1.38\cdot 10^{-2}\)

\(6.73\cdot 10^{-3}\)

  1. Computation of average (column 1 and 3) and maximum (column 2 and 4) errors over the training set for several errors on the quantities of interest: maximum error over all time steps (cf. (33))