672 citations · 1.2k across the 19 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
cs.CE2022★ 7 cited
Neural-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrier to Reducibility of CFD Models
Joshua L Barnett, Charbel Farhat, Yvon Maday
Inspired by our previous work on mitigating the Kolmogorov barrier using a quadratic approximation manifold, we propose in this paper a computationally tractable approach for combi…
cs.CE2022★ 104 cited
Quadratic Approximation Manifold for Mitigating the Kolmogorov Barrier in Nonlinear Projection-Based Model Order Reduction
Joshua Barnett, Charbel Farhat
A quadratic approximation manifold is presented for performing nonlinear, projection-based, model order reduction (PMOR). It constitutes a departure from the traditional affine sub…