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Solving Parametric PDEs on 1D Helmholtz (k ∈ {1.00, 3.25, 5.50, 7.75, 10.00})

2.21Relative L2 ErrorPI-DeepONet
1.92283.86145.87.7386Jun 3, 2026

Evaluation results

MethodLinks
PI-DeepONetSetup=one network2026.062.2161.8
SA-PINNSetup=per-k, Retrainings=52026.063.2311.4
ReLoBRaLoSetup=per-k, Retrainings=52026.063.877.9
LC-PINNConditioning=FiLM, Optimization=L-BFGS, Setup=one network2026.069.3965.9