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Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method
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DOI：10.1016/j.ymssp.2026.114779.png)
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Abstract
En 中文
• A method capable for parallel computing high-dimensional quasi-periodic solutions. • A Fourier series expansion shooting method for efficiently parameterizing ( d−1)-torus. • Robust phase conditions designed for solution tracking with unknown base frequencies. • Validity shown by the QPs of nonlinear finite element problems with thousands DOFs.
Keywords:
Quasi-periodic solutions
Parallelized computation
High-dimensional systems
Shooting method
Phase conditions
Lyapunov exponents
Journal
IF:
8.9
Papers:
1.2W
Citations:
6.6W
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