ResearchBenchmarks2D Laplace Equation Reconstruction on 200x200 Analytical Grid2D Laplace Equation Reconstruction on 200x200 Analytical GridFollow1.1RMSEXPINN0.95121.95562.963.9644Aug 12, 2025Evaluation resultsMethodMethodLinksRMSEMSEMAERelative L2 ErrorMax ErrorXPINNTrain (seconds)=566.724Train (seconds)=566.7242025.081.11.218.0061.9032.884PINNTrain (seconds)=1374.119Train (seconds)=1374.1192025.081.3671.871.3642.3651.553LNN–PINNTrain (seconds)=640.891Train (seconds)=640.8912025.082.0584.2342.0383.562.717RA–PINNTrain (seconds)=352.542Train (seconds)=352.5422025.084.822.3234.0038.3388.811