PDE Solving on 3D Cahn-Hilliard (alpha [15, 35], tau [60, 90]) OOD
1.1379Relative L2 Error at t=50DeepONet
Evaluation results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| DeepONet# Samples=1002026.06 | 1.1379 | 1.9408 | 1.0965 | 6.0847 | 2.2811 | |
| HAMNO# Samples=1002026.06 | 1.1922 | 2.0097 | 1.1507 | 2.1961 | 1.288 | |
| U-Net# Samples=1002026.06 | 1.5684 | 2.4213 | 1.479 | 1.1378 | 0.3879 | |
| FFNO# Samples=1002026.06 | 1.6427 | 2.7786 | 1.6159 | 6.9621 | 1.0717 | |
| U-FNO# Samples=1002026.06 | 2.0484 | 3.2315 | 1.9194 | 1.6566 | 0.9718 | |
| U-NO# Samples=1002026.06 | 2.7393 | 4.1443 | 2.5759 | 4.3455 | 1.222 | |
| FNO# Samples=1002026.06 | 3.1029 | 4.2763 | 2.9019 | 6.559 | 0.4503 | |
| PI-HAMNO# Samples=1002026.06 | 4.2734 | 5.8495 | 4.0951 | 5.5132 | 1.2752 |