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ResearchFormerly WizWand

PDE Solving on Darcy Flow 32x32 resolution

0.0326Relative L2 ErrorLayerNorm
-0.3384962.1664024.67137.176198May 8, 2026
Updated 5mo ago

Evaluation results

MethodLinks
LayerNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0326
BlendQuadNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0327
GroupNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0336
NoneTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0349
RMSNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0359
InstanceNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0427
QuadNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.050.0435
LayerNormArchitecture=FNO, Training Resolution=32^22026.053.13
BlendQuadNormArchitecture=FNO, Training Resolution=32^22026.053.13
BlendQuadNorm, α = 0.1Architecture=FNO, Training Resolution=32^22026.053.14
NoneArchitecture=FNO, Training Resolution=32^22026.053.32
QuadNormArchitecture=FNO, Training Resolution=32^22026.054.03
QuadNormArchitecture=Galerkin, Training Resolution=32^22026.057.58
LayerNormArchitecture=Galerkin, Training Resolution=32^22026.058.26
BlendQuadNorm, α = 0.1Architecture=Galerkin, Training Resolution=32^22026.058.3
BlendQuadNormArchitecture=Galerkin, Training Resolution=32^22026.058.32
NoneArchitecture=Galerkin, Training Resolution=32^22026.059.31