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2-D Linear Poisson's Equation Solving (test)

0L1 ErrorBaldwinian-PINN
-0.010680.061410.13350.20559Oct 11, 2022Dec 20, 2022Feb 28, 2023May 9, 2023Jul 18, 2023Sep 26, 2023Dec 6, 2023

Evaluation results

MethodLinks
Baldwinian-PINNTest task parameters=a1=0.15, a2=0.18, ..., c8=0.91, dj=0.01, x ∈ [0, 1], y ∈ [0, 1], Training task distribution=100 train tasks from J ∈ [1, 10], aj ∈ [−0.6, 0.6], bj ∈ [−0.6, 0.6], cj ∈ [0.5, 2], dj ∈ [0.005, 0.02]2023.1200
NRPINNFine-tuning iterations=4000, Test task parameters=a1=0.15, a2=0.18, ..., c8=0.91, dj=0.01, x ∈ [0, 1], y ∈ [0, 1], Training task distribution=100 train tasks from J ∈ {1, 5, 10}, aj ∈ [0.1, 0.9], bj ∈ [0.1, 0.9], cj ∈ [0.8, 1.2], dj = 0.012023.120—
CoMLSim2022.100.011—
FNO2022.100.031—
DeepONet2022.100.061—
UNet2022.100.132—
FCNN2022.100.267—