nonlinear manifolds 1offline-online decomposition 1parameterized pdes 1reduced-order modeling 1residual-based training 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NA2026
Residual-Driven Lifting Identification for Nonlinear-Manifold Reduced-Order Models of Parametrized Linear PDEs
Francesco A. B. Silva, Jean C. Ragusa, Theron Guo +1
The paper proposes a residual-driven method to train nonlinear-manifold reduced-order models for parametrized linear PDEs by identifying the lifting map without using high‑fidelity…
math.NA2024
An adaptive hierarchical ensemble Kalman filter with reduced basis models
Francesco A. B. Silva, Cecilia Pagliantini, Karen Veroy
The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has…