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Steady-state PDE Solving research benchmarks · SOTA2 Research

Steady-state PDE Solving

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

1Relative L1 Error

12

Jun 9, 2026

Elasticity (test)

1.7Relative L1 Error (Test)

10

Jun 9, 2026

Navier-Stokes viscosity=0.001 Noisy observations (sigma_max^o)^2 = 0.001 (test)

0.126Test Error

8

Feb 26, 2026

Navier-Stokes Noisy inputs (viscosity=0.001) (sigma_max^i)^2 = 0.001 (test)

0.144Test Error

8

Feb 26, 2026

Navier-Stokes viscosity=0.001 Clean sigma_max^2 = 0 (test)

12.8Test Error

8

Feb 26, 2026

PCS 16K-node mesh (test)

0.52Relative L1 Error

4

Jun 9, 2026

RAE2822 8K-node mesh (test)

3.92Relative L1 Error

4

Jun 9, 2026

NACA2412 8K-node mesh (test)

3.92Relative L1 Error

4

Jun 9, 2026

NACA0012 8K-node mesh (test)

3.77Relative L1 Error

4

Jun 9, 2026

Incompressible steady-state Navier-Stokes viscosity=0.01 noisy observations (test)

—

—Primary metric

0

Feb 26, 2026

Incompressible steady-state Navier-Stokes viscosity=0.01 noisy inputs (test)

—

—Primary metric

0

Feb 26, 2026

Incompressible steady-state Navier-Stokes viscosity=0.01 clean data (test)

—

—Primary metric

0

Feb 26, 2026

Popular datasets

Navier-Stokes Incompressible steady-state Navier-Stokes Airfoil Elasticity pcs

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