PDE Solving on 3D CH (Cahn-Hilliard) alpha=20, tau=70 (OOD)
1.0045Relative L2 Error at t=50HAMNO
Evaluation Results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| HAMNO# Samples=1002026.06 | 1.0045 | 1.7529 | 9.7471 | 1.843 | 1.35 | |
| DeepONet# Samples=1002026.06 | 1.1171 | 1.9327 | 1.0834 | 6.3918 | 2.268 | |
| U-Net# Samples=1002026.06 | 1.5569 | 2.4221 | 1.4728 | 1.0551 | 0.3539 | |
| FFNO# Samples=1002026.06 | 1.6417 | 2.852 | 1.6205 | 7.5932 | 1.1822 | |
| U-FNO# Samples=1002026.06 | 2.0426 | 3.2553 | 1.9173 | 1.5355 | 1.369 | |
| U-NO# Samples=1002026.06 | 2.7453 | 4.2029 | 2.5742 | 3.8185 | 1.1735 | |
| FNO# Samples=1002026.06 | 3.1607 | 4.3588 | 2.9558 | 5.8661 | 0.5256 | |
| PI-HAMNO# Samples=1002026.06 | 3.7925 | 5.0082 | 3.6301 | 4.0819 | 1.295 |