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Forward PDE solving on Pipe

0.0025Relative L2 ErrorLNO
-0.02460.1583250.341250.524175Jun 6, 2024Oct 4, 2024Feb 1, 2025Jun 2, 2025Sep 30, 2025Jan 28, 2026May 29, 2026

Evaluation results

MethodLinks
LNOArchitecture Category=Attention2026.050.0025
FUNCATTNArchitecture Category=Attention2026.050.0029
TRANSOLVERArchitecture Category=Attention2026.050.0031
PGOTData Format=Structured Mesh2025.120.0039
TransolverData Format=Structured Mesh2025.120.0043
GNOTData Format=Structured Mesh2025.120.0047
GNOTArchitecture Category=Attention2026.050.0047
LSMData Format=Structured Mesh2025.120.005
LSMArchitecture Category=Frequency2026.050.005
ONOData Format=Structured Mesh2025.120.0052
ONOArchitecture Category=Attention2026.050.0052
HT-NETArchitecture Category=Attention2026.050.0054
U-FNOData Format=Structured Mesh2025.120.0056
U-FNOArchitecture Category=Frequency2026.050.0056
HT-NetData Format=Structured Mesh2025.120.0059
FactFormerData Format=Structured Mesh2025.120.006
FACTFORMERArchitecture Category=Attention2026.050.006
SAOTData Format=Structured Mesh2025.120.0062
Geo-FNOData Format=Structured Mesh2025.120.0067
GEO-FNOArchitecture Category=Frequency2026.050.0067
F-FNOData Format=Structured Mesh2025.120.007
F-FNOArchitecture Category=Frequency2026.050.007
WMTData Format=Structured Mesh2025.120.0077
WMTArchitecture Category=Frequency2026.050.0077
GalerkinData Format=Structured Mesh2025.120.0098
GALERKINArchitecture Category=Attention2026.050.0098
U-NOData Format=Structured Mesh2025.120.01
U-NOArchitecture Category=Frequency2026.050.01
OFormerData Format=Structured Mesh2025.120.0168
OFORMERArchitecture Category=Attention2026.050.0168
LNOLayers=8, Dim=128, Size=256, Heads=8, Batch=4, Epoch=500, Loss=rL2, Optimizer=AdamW, Scheduler=OneCycleLR2024.060.26
Transolver2024.060.31
GNOT2024.060.45
U-FNO2024.060.62
F-FNO2024.060.68