Table 2 Mean values and standard deviations (std) over all runs with different initial guesses per data set with added Gaussian noise with standard deviation \(\sigma \)
From: Inverse analysis of material parameters in coupled multi-physics biofilm models
\(\sigma \) \([\mathrm {mm}]\) | mean \(\mathrm {err}_\mathrm {res}\) \([\mathrm {mm}]\) | std \(\mathrm {err}_\mathrm {res}\) \([\mathrm {mm}]\) | mean \(\mathrm {E}\) \([\mathrm {Pa}]\) | std \(\mathrm {E}\) \([\mathrm {Pa}]\) | mean \(\mathrm {\nu }\) \([-]\) | std \(\mathrm {\nu }\) \([-]\) |
|---|---|---|---|---|---|---|
0.000e+00 | 7.122e-08 | 3.120e-08 | 4.000e+02 | 1.226e-03 | 3.000e-01 | 6.889e-06 |
1.000e-04 | 1.478e-04 | 6.576e-09 | 3.999e+02 | 8.615e-03 | 3.015e-01 | 6.881e-05 |
1.000e-03 | 9.296e-04 | 2.686e-09 | 4.080e+02 | 1.168e-02 | 3.782e-01 | 1.153e-04 |
1.000e-02 | 8.208e-02 | 5.892e-09 | 5.062e+02 | 5.044e-01 | 2.998e-01 | 3.591e-03 |