Trefftz-PINNs preserve the global topology of magnetic field lines and velocity streamlines more reliably than standard PINNs even when mean squared errors are matched.
Akbarian Bafghi, et al.: Predictions and Corrections: Neural Predictors with Solver-Based Correction for ODEs and PDEs., in Proceedings of NeurIPS (Work- shop)
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Comparison of Trefftz-Based PINNs and Standard PINNs Focusing on Structure Preservation
Trefftz-PINNs preserve the global topology of magnetic field lines and velocity streamlines more reliably than standard PINNs even when mean squared errors are matched.