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ResearchFormerly WizWand

PDE Solving on Darcy Flow 64x64 resolution

0.0561Relative L2 ErrorQuadNorm
-1.4800568.88899719.2580529.627103May 8, 2026
Updated 5mo ago

Evaluation results

MethodLinks
QuadNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0561
BlendQuadNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0663
LayerNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0687
GroupNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0702
RMSNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0731
InstanceNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.0777
NoneTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.050.079
LayerNormNormalization=LayerNorm2026.052.65
BlendQuadNormNormalization=BlendQuadNorm2026.052.65
GroupNormNormalization=GroupNorm2026.052.76
NoneNormalization=None2026.053.02
RMSNormNormalization=RMSNorm2026.053.07
InstanceNormNormalization=InstanceNorm2026.053.82
QuadNormNormalization=QuadNorm2026.053.86
QuadNormArchitecture=FNO, Training Resolution=32^22026.055.23
BlendQuadNormArchitecture=FNO, Training Resolution=32^22026.057
LayerNormArchitecture=FNO, Training Resolution=32^22026.057.08
BlendQuadNorm, α = 0.1Architecture=FNO, Training Resolution=32^22026.057.1
NoneArchitecture=FNO, Training Resolution=32^22026.057.74
QuadNormArchitecture=Galerkin, Training Resolution=32^22026.057.94
BlendQuadNorm, α = 0.1Architecture=Galerkin, Training Resolution=32^22026.059.66
BlendQuadNormArchitecture=Galerkin, Training Resolution=32^22026.059.7
LayerNormArchitecture=Galerkin, Training Resolution=32^22026.059.8
NoneArchitecture=Galerkin, Training Resolution=32^22026.0510.8
SpectralNormNormalization=SpectralNorm2026.0512.43
QuadBandNormNormalization=QuadBandNorm2026.0538.31
RI-BandNormNormalization=RI-BandNorm2026.0538.46