This paper introduces an online evolve--filter--relax (EFR) strategy for long-term stability of Operator Inference (OpInf) reduced-order models (ROMs) of complex fluid flow simulations that uses spatial filtering inspired from large eddy simulation to significantly improve long-term stability and predictive performance...
Ian Moore, Ping-Hsuan Tsai, Anthony Gruber et al.· 1 citation
A novel domain decomposition-based approach for creating adaptive hybrid models with the help of the Schwarz alternating method and some recent extensions of SAM are presented to enable the overlapping and non-overlapping coupling of non-intrusive polynomial and neural network-(NN-)based Operator Inference (OpInf) ROMs...
Irina Tezaur, Eric J. Parish, Anthony Gruber et al.· 0 citations
A hybrid modeling framework for coupling pre-trained numerics-informed neural networks (NINNs) with classical full order models (FOMs) using the overlapping Schwarz alternating method, and the resulting hybrid NINN-FOM solutions agree closely with the corresponding FOM-FOM Schwarz solutions.
George Chumbipuma, Irina Tezaur, Alejandro N. Diaz et al.· 0 citations
This work introduces a reinforcement learning (RL)-based approach for online adaptation of FOM-ROM models coupled via the overlapping Schwarz alternating method (O-SAM), an iterative domain decomposition method that solves subdomain-local problems while exchanging solution information through transmission boundary cond...
Trishit Mondal, Irina Tezaur, Anthony Gruber· 0 citations
Norm-PCGrad is proposed, a normalized variant that achieves state-of-the-art accuracy across a range of 2D and 3D domain decomposition problems and demonstrates that gradient surgery extends to physics-informed Kolmogorov-Arnold Networks, yielding substantial accuracy improvements for 3D domain decomposition.
S. S. Menon, Irina Tezaur, Ameya D. Jagtap· 2 citations
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