Table 2 Error analysis
From: Scalable block preconditioners for saturated thermo-hydro-mechanics problems
| Â | Size | Errors using the scaled system: xs | ||||
|---|---|---|---|---|---|---|
| Â | Â | Time | it | err\(_{\varvec{\underline{u}}}\) | err\(_{\varvec{p}}\) | err\(_{\varvec{T}}\) |
\(\textbf{P}_J\) | 429 | 1.40e−01 | 15 | 3.71e−05 | 2.96e−04 | 6.44e−09 |
2437 | 4.69e−01 | 15 | 3.78e−05 | 2.55e−04 | 9.82e−09 | |
117,637 | 4.55e+01 | 15 | 1.34e−04 | 1.39e−04 | 7.01e−08 | |
\(\textbf{P}_{LGS}\) | 429 | 1.13e−01 | 9 | 7.41e−06 | 3.47e−04 | 1.08e−09 |
2437 | 3.53e−01 | 10 | 1.64e−05 | 2.19e−04 | 1.83e−08 | |
117,637 | 2.95e+01 | 10 | 2.31e−04 | 1.40e−04 | 1.83e−08 | |
\(\textbf{P}_{UGS}\) | 429 | 1.17e−01 | 9 | 1.49e−05 | 8.85e−05 | 1.46e−10 |
2437 | 4.28e−01 | 13 | 1.51e−06 | 8.24e−06 | 1.57e−09 | |
117,637 | 3.24e+01 | 12 | 4.26e−06 | 3.40e−05 | 6.29e−09 | |
| Â | Size | Errors using the initial system: x | ||||
|---|---|---|---|---|---|---|
| Â | Â | Time | it | err\(_{\varvec{\underline{u}}}\) | err\(_{\varvec{p}}\) | err\(_{\varvec{T}}\) |
\(\textbf{P}_J\) | 429 | 1.66e−01 | 18 | 1.19e−03 | 1.44e−03 | 1.13e−07 |
2437 | 1.02e+00 | 34 | 6.24e−05 | 4.74e−05 | 3.79e−08 | |
117,637 | 1.15e+02 | 40 | 4.36e−05 | 1.25e-05 | 9.01e−08 | |
\(\textbf{P}_{LGS}\) | 429 | 1.40e−01 | 12 | 5.81e−07 | 2.20e−06 | 1.36e−10 |
2437 | 5.39e−01 | 14 | 3.49e−06 | 7.14e−07 | 4.01e−10 | |
117 ,37 | 4.21e+01 | 14 | 1.93e−06 | 4.53e−07 | 2.59e−10 | |
\(\textbf{P}_{UGS}\) | 429 | 1.07e−01 | 3 | 8.67e−01 | 1.08e+00 | 1.70e−05 |
2437 | 3.29e−01 | 8 | 1.78e−01 | 1.79e−01 | 6.06e−07 | |
117,637 | 2.45e+01 | 8 | 3.39e−01 | 2.95e−01 | 6.85e−07 | |