29 citations · 32 across the 4 of their papers we have counts for
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math.NA2023
Nonlinear-manifold reduced order models with domain decomposition
Alejandro N. Diaz, Youngsoo Choi, Matthias Heinkenschloss
A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs…
math.NA2023★ 29 cited
A fast and accurate domain-decomposition nonlinear manifold reduced order model
Alejandro N. Diaz, Youngsoo Choi, Matthias Heinkenschloss
This paper integrates nonlinear-manifold reduced order models (NM-ROMs) with domain decomposition (DD). NM-ROMs approximate the full order model (FOM) state in a nonlinear-manifold…