Operator Learning for 3D Allen-Cahn Equation on 3D Allen-Cahn (alpha [20, 90], tau [160, 260]) OOD
1.152Relative L2 Error (t=50)FFNO
Evaluation results
| Method | Links | |||
|---|---|---|---|---|
| FFNO# Samples=100, Sec./Sample=1.08562026.06 | 1.152 | 1.7759 | 1.1066 | |
| DeepONet# Samples=100, Sec./Sample=3.12672026.06 | 1.2649 | 2.0046 | 1.1999 | |
| FNO# Samples=100, Sec./Sample=0.48842026.06 | 2.2378 | 2.9095 | 2.1342 | |
| U-NO# Samples=100, Sec./Sample=1.22172026.06 | 2.5067 | 3.2153 | 2.3519 | |
| U-Net# Samples=100, Sec./Sample=0.41092026.06 | 2.9142 | 4.8693 | 2.8608 | |
| U-FNO# Samples=100, Sec./Sample=0.99522026.06 | 3.0111 | 5.6823 | 3.0729 | |
| PI-HAMNO# Samples=100, Sec./Sample=1.41602026.06 | 3.2292 | 3.5719 | 3.8492 | |
| HAMNO# Samples=100, Sec./Sample=1.40582026.06 | 9.0278 | 1.3199 | 8.9339 |