Table 5 Displaying the time, in minutes, required to converge to a total loss value of 10− 4.
Vanilla PINN | |||||||
|---|---|---|---|---|---|---|---|
Ratio | FE-PINN | \(\:\lambda\:=1\) | \(\:\lambda\:=1.2\) | \(\:\lambda\:=1.4\) | \(\:\lambda\:=1.6\) | \(\:\lambda\:=1.8\) | |
Case 1 | 21.47 | 0.8 + 12.7 | 21.2 | 18.5 | 20.2 | 19.3 | 21.6 |
Case 2 | 21.47 | 0.8 + 12.9 | 28.1 | Not Converged | Not Converged | Not Converged | Not Converged |
Case 3 | 21.47 | 0.8 + 14.2 | Not Converged | Not Converged | Not Converged | Not Converged | Not Converged |
Case 1 | 26.94 | 0.7 + 10 | 21.8 | 16.1 | 18.7 | 30.1 | 17.4 |
Case 2 | 26.94 | 0.8 + 11.5 | 20.7 | 15.7 | 16.2 | 22.3 | 19.4 |
Case 3 | 26.94 | 0.8 + 9.3 | 28.6 | 28.5 | 23.1 | Not Converged | 23.9 |
Case 1 | 32.39 | 0.8 + 14.8 | Not Converged | Not Converged | 26.3 | 30.4 | 30.5 |
Case 2 | 32.39 | 0.7 + 15.4 | 21.5 | 23.4 | 22.1 | 24.5 | 30.4 |
Case 3 | 32.39 | 0.7 + 10.6 | 15.5 | 15.4 | 18.1 | 15.4 | 13.9 |
Case 1 | 37.80 | 0.7 + 12.4 | Not Converged | 20.9 | Not Converged | 22.8 | 27.1 |
Case 2 | 37.80 | 0.7 + 13.7 | 25.5 | Not Converged | 26.32 | 24.1 | 25.1 |
Case 3 | 37.80 | 0.7 + 12.1 | 20.5 | 28.2 | 23.6 | 22.9 | 22.6 |
Case 1 | 43.25 | 0.8 + 13.3 | 31.9 | 23.6 | 22.4 | 18.7 | 21.8 |
Case 2 | 43.25 | 0.6 + 11.2 | 29.5 | 20.4 | 21.5 | 24.4 | 18.5 |
Case 3 | 43.25 | 0.6 + 15.4 | 24.3 | 21.0 | 28.7 | 26.5 | 21.5 |
Case 1 | 48.675 | 0.6 + 14.6 | 40.2 | 28.2 | Not Converged | 26.7 | 35.7 |
Case 2 | 48.675 | 0.6 + 12.7 | 23.1 | 22.5 | 22.9 | 19.8 | 25.3 |
Case 3 | 48.675 | 0.6 + 12.5 | 33.3 | 23.3 | 27.8 | 29.9 | 21.7 |
