ECLEIRS embeds exact conservation laws into a neural reduced-order model by representing solution and flux as divergences of a skew-symmetric matrix field, improving robustness to sparse and noisy data and accuracy for unseen parameters.
Adjacency-based, non-intrusive model reduction for vortex-induced vibrations.Computers & Fluids, 275:106248, 2024
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ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data
ECLEIRS embeds exact conservation laws into a neural reduced-order model by representing solution and flux as divergences of a skew-symmetric matrix field, improving robustness to sparse and noisy data and accuracy for unseen parameters.