2409.10126
Data-free Non-intrusive Model Reduction for Nonlinear Finite Element Models via Spectral Submanifolds
Mingwu Li, Thomas Thurnher, Zhenwei Xu, Shobhit Jain
correctmedium confidence
- Category
- Not specified
- Journal tier
- Strong Field
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Section 3 of the paper derives exactly the same non-intrusive composition formulas for [F∘W]_m via even/odd splitting and polarization identities for quadratic and cubic parts, and uses the same resonance-handling choice for R_m^i as the candidate solution. The steps, assumptions (up to cubic nonlinearities; no constant/linear remainder), and identities match closely.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} strong field
\textbf{Justification:}
The paper resolves a key bottleneck for SSM-based reduced-order modeling in finite elements by providing non-intrusive formulas and demonstrating their practicality across challenging examples. The derivations are standard yet carefully executed, the implementation details are useful, and the results persuasive. Minor clarifications on cost, near-resonance thresholds, and algorithmic steps would further improve clarity.