An energy-dissipation-rate-guided sampling strategy (EDRAS) improves PINN accuracy on thermodynamically consistent Allen-Cahn models, giving up to a sixfold relative MSE reduction over residual-based adaptive refinement in a 1D test.
Generalized halton sequences in 2008: A comparative study.ACM Transactions on Modeling and Computer Simulation (TOMACS),19(4):1–31, 2009
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Energy Dissipation Rate Guided Adaptive Sampling for Physics-Informed Neural Networks: Resolving Surface-Bulk Dynamics in Allen-Cahn Systems
An energy-dissipation-rate-guided sampling strategy (EDRAS) improves PINN accuracy on thermodynamically consistent Allen-Cahn models, giving up to a sixfold relative MSE reduction over residual-based adaptive refinement in a 1D test.