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ResearchFormerly WizWand

PDE Solving on Darcy Flow 256x256 resolution

6.66Relative L2 ErrorQuadNorm
6.39648.17579.95511.7343May 8, 2026
Updated 5mo ago

Evaluation results

MethodLinks
QuadNormArchitecture=FNO, Training Resolution=32^22026.056.66
QuadNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.057.1
QuadNormArchitecture=Galerkin, Training Resolution=32^22026.058.67
BlendQuadNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0510.54
LayerNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0510.99
BlendQuadNormArchitecture=FNO, Training Resolution=32^22026.0511.14
GroupNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0511.22
LayerNormArchitecture=FNO, Training Resolution=32^22026.0511.31
BlendQuadNorm, α = 0.1Architecture=FNO, Training Resolution=32^22026.0511.33
RMSNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0511.55
InstanceNormTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0511.87
BlendQuadNorm, α = 0.1Architecture=Galerkin, Training Resolution=32^22026.0511.91
BlendQuadNormArchitecture=Galerkin, Training Resolution=32^22026.0511.96
LayerNormArchitecture=Galerkin, Training Resolution=32^22026.0512.33
NoneArchitecture=FNO, Training Resolution=32^22026.0512.37
NoneTraining Resolution=32^2, Evaluation Resolution=256^2, Refinement Ratio=82026.0512.76
NoneArchitecture=Galerkin, Training Resolution=32^22026.0513.25