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math.NA2025
Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method
Junqing Wu, Ling Hong, Mingwu Li +1
High-dimensional nonlinear mechanical systems admit quasi-periodic solutions that are essential for the understanding of the dynamical systems. These quasi-periodic solutions stay…
math.NA2024★ 13 cited
Data-free Non-intrusive Model Reduction for Nonlinear Finite Element Models via Spectral Submanifolds
Mingwu Li, Thomas Thurnher, Zhenwei Xu +1
The theory of spectral submanifolds (SSMs) has emerged as a powerful tool for constructing rigorous, low-dimensional reduced-order models (ROMs) of high-dimensional nonlinear mecha…