A pressure-Poisson objective combined with equality-constrained neural networks and adaptive viscosity enables unsupervised simulation of high-Reynolds-number incompressible flows including spontaneous vortex shedding.
Conditionally adaptive augmented la- grangian method for physics-informed learning of forward and inverse problems
2 Pith papers cite this work. Polarity classification is still indexing.
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AdamFLIP treats PDE constraint residuals in PINNs as a controlled dynamical system, computes Lagrange multipliers via feedback linearization to drive residuals to zero, and applies Adam-style adaptation to the resulting gradient for scalable hard-constrained training.
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Unsupervised simulation of incompressible flows with physics- and equality- constrained artificial neural networks
A pressure-Poisson objective combined with equality-constrained neural networks and adaptive viscosity enables unsupervised simulation of high-Reynolds-number incompressible flows including spontaneous vortex shedding.
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AdamFLIP: Adaptive Momentum Feedback Linearization Optimization for Hard Constrained PINN Training
AdamFLIP treats PDE constraint residuals in PINNs as a controlled dynamical system, computes Lagrange multipliers via feedback linearization to drive residuals to zero, and applies Adam-style adaptation to the resulting gradient for scalable hard-constrained training.