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…
cs.CE2025
Mathematical Modeling and Error Estimation for the Thermal Dunking Problem: A Hierarchical Approach
Theron Guo, Kento Kaneko, Claude Le Bris +1
We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the…