Forward PDE solving on Pipe
0.0025Relative L2 ErrorLNO
Evaluation Results
| Method | Links | |
|---|---|---|
| LNOArchitecture Category=Attention2026.05 | 0.0025 | |
| FUNCATTNArchitecture Category=Attention2026.05 | 0.0029 | |
| TRANSOLVERArchitecture Category=Attention2026.05 | 0.0031 | |
| PGOTData Format=Structured Mesh2025.12 | 0.0039 | |
| TransolverData Format=Structured Mesh2025.12 | 0.0043 | |
| GNOTData Format=Structured Mesh2025.12 | 0.0047 | |
| GNOTArchitecture Category=Attention2026.05 | 0.0047 | |
| LSMData Format=Structured Mesh2025.12 | 0.005 | |
| LSMArchitecture Category=Frequency2026.05 | 0.005 | |
| ONOData Format=Structured Mesh2025.12 | 0.0052 | |
| ONOArchitecture Category=Attention2026.05 | 0.0052 | |
| HT-NETArchitecture Category=Attention2026.05 | 0.0054 | |
| U-FNOData Format=Structured Mesh2025.12 | 0.0056 | |
| U-FNOArchitecture Category=Frequency2026.05 | 0.0056 | |
| HT-NetData Format=Structured Mesh2025.12 | 0.0059 | |
| FactFormerData Format=Structured Mesh2025.12 | 0.006 | |
| FACTFORMERArchitecture Category=Attention2026.05 | 0.006 | |
| SAOTData Format=Structured Mesh2025.12 | 0.0062 | |
| Geo-FNOData Format=Structured Mesh2025.12 | 0.0067 | |
| GEO-FNOArchitecture Category=Frequency2026.05 | 0.0067 | |
| F-FNOData Format=Structured Mesh2025.12 | 0.007 | |
| F-FNOArchitecture Category=Frequency2026.05 | 0.007 | |
| WMTData Format=Structured Mesh2025.12 | 0.0077 | |
| WMTArchitecture Category=Frequency2026.05 | 0.0077 | |
| GalerkinData Format=Structured Mesh2025.12 | 0.0098 | |
| GALERKINArchitecture Category=Attention2026.05 | 0.0098 | |
| U-NOData Format=Structured Mesh2025.12 | 0.01 | |
| U-NOArchitecture Category=Frequency2026.05 | 0.01 | |
| OFormerData Format=Structured Mesh2025.12 | 0.0168 | |
| OFORMERArchitecture Category=Attention2026.05 | 0.0168 | |
| LNOLayers=8, Dim=128, Size=256, Heads=8, Batch=4, Epoch=500, Loss=rL2, Optimizer=AdamW, Scheduler=OneCycleLR2024.06 | 0.26 | |
| Transolver2024.06 | 0.31 | |
| GNOT2024.06 | 0.45 | |
| U-FNO2024.06 | 0.62 | |
| F-FNO2024.06 | 0.68 |