3 papers
math.NA2025
Domain Decomposition-Based Coupling of High-Fidelity Finite Element and Reduced Order Operator Inference Models Using the Schwarz Alternating Method
Ian Moore, Anthony Gruber, Chris Wentland +1
We propose a novel hybrid domain decomposition method that couples sub-domain-local high-fidelity finite element (FE) models with reduced order models (ROMs) using the Schwarz alte…
math.NA2025
Transmission Conditions for the Non-Overlapping Schwarz Coupling of Full Order and Operator Inference Models
Cameron Rodriguez, Irina Tezaur, Alejandro Mota +3
This work investigates transmission conditions for the domain decomposition-based coupling of subdomain-local models using the non-overlapping Schwarz alternating method (NO-SAM).…
cs.LG2021
Level set learning with pseudo-reversible neural networks for nonlinear dimension reduction in function approximation
Yuankai Teng, Zhu Wang, Lili Ju +2
Due to the curse of dimensionality and the limitation on training data, approximating high-dimensional functions is a very challenging task even for powerful deep neural networks.…