Forward PDE solving on Elasticity
0.005Relative L2 ErrorFUNCATTN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| FUNCATTNArchitecture Category=Attention2026.05 | 0.005 | — | |
| TRANSOLVERArchitecture Category=Attention2026.05 | 0.0064 | — | |
| PGOTData Format=Point Cloud2025.12 | 0.0069 | — | |
| LNOArchitecture Category=Attention2026.05 | 0.0073 | — | |
| TransolverData Format=Point Cloud2025.12 | 0.0079 | — | |
| GNOTData Format=Point Cloud2025.12 | 0.0086 | — | |
| GNOTArchitecture Category=Attention2026.05 | 0.0086 | — | |
| SAOTData Format=Point Cloud2025.12 | 0.009 | — | |
| ONOData Format=Point Cloud2025.12 | 0.0118 | — | |
| ONOArchitecture Category=Attention2026.05 | 0.0118 | — | |
| IPOTData Format=Point Cloud2025.12 | 0.0156 | — | |
| OFormerData Format=Point Cloud2025.12 | 0.0183 | — | |
| OFORMERArchitecture Category=Attention2026.05 | 0.0183 | — | |
| LSMData Format=Point Cloud2025.12 | 0.0218 | — | |
| LSMArchitecture Category=Frequency2026.05 | 0.0218 | — | |
| Geo-FNOData Format=Point Cloud2025.12 | 0.0229 | — | |
| GEO-FNOArchitecture Category=Frequency2026.05 | 0.0229 | — | |
| U-FNOData Format=Point Cloud2025.12 | 0.0239 | — | |
| U-FNOArchitecture Category=Frequency2026.05 | 0.0239 | — | |
| GalerkinData Format=Point Cloud2025.12 | 0.024 | — | |
| GALERKINArchitecture Category=Attention2026.05 | 0.024 | — | |
| U-NOData Format=Point Cloud2025.12 | 0.0258 | — | |
| U-NOArchitecture Category=Frequency2026.05 | 0.0258 | — | |
| F-FNOData Format=Point Cloud2025.12 | 0.0263 | — | |
| F-FNOArchitecture Category=Frequency2026.05 | 0.0263 | — | |
| WMTData Format=Point Cloud2025.12 | 0.0359 | — | |
| WMTArchitecture Category=Frequency2026.05 | 0.0359 | — | |
| LNOLayers=8, Dim=128, Size=256, Heads=8, Batch=4, Epoch=500, Loss=rL2, Optimizer=AdamW, Scheduler=OneCycleLR2024.06 | 0.52 | — | |
| Transolver2024.06 | 0.62 | — | |
| GNOT2024.06 | 0.88 | — | |
| F-FNO2024.06 | 1.85 | — | |
| U-FNO2024.06 | 2.13 | — | |
| BlendQuadNormResolution=32^2, Resolution Scale=native, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 9.72 | — | |
| BlendQuadNormResolution=64^2, Resolution Scale=2×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 10 | — | |
| QuadNormResolution=32^2, Resolution Scale=native, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 10.03 | — | |
| BlendQuadNormResolution=128^2, Resolution Scale=4×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 10.21 | — | |
| QuadNormResolution=64^2, Resolution Scale=2×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 11.25 | — | |
| NoneResolution=32^2, Resolution Scale=native, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 11.4 | — | |
| NoneResolution=64^2, Resolution Scale=2×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 11.99 | — | |
| LayerNormResolution=32^2, Resolution Scale=native, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 12.43 | — | |
| QuadNormResolution=128^2, Resolution Scale=4×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 12.54 | — | |
| NoneResolution=128^2, Resolution Scale=4×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 12.56 | — | |
| LayerNormResolution=64^2, Resolution Scale=2×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 12.81 | — | |
| LayerNormResolution=128^2, Resolution Scale=4×, Architecture=Galerkin Transformer, Training Resolution=32^2, Domain Type=nonperiodic2026.05 | 13.12 | — | |
| CORALData representation=point cloud2026.07 | — | 2.06 | |
| GAIAData representation=point cloud2026.07 | — | 1.34 | |
| GAOTData representation=point cloud2026.07 | — | 0.97 | |
| GINOData representation=point cloud2026.07 | — | 1.87 | |
| TransolverData representation=point cloud2026.07 | — | 0.94 |