A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation
Year: 2025
Author: Lu Wang, Youcai Xu, Minfu Feng
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 3 : pp. 307–339
Abstract
In this paper, a new locking-free mixed full-order model (FOM) for solving the elastic wave equation is studied, and then a locking-free reduced-order model (ROM) based on the proper orthogonal decomposition (POD) technique is constructed, which greatly improves solving efficiency compared to FOM while maintaining the locking-free. Theoretical analysis of semi discrete and fully discrete schemes for the FOM and the ROM are also presented. Some numerical experiments verify the theoretical analysis results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2025-1014
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 3 : pp. 307–339
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Elastic wave equation mixed finite element method proper orthogonal decomposition locking free implicit scheme reduced-order model.
Author Details
Lu Wang Email
Youcai Xu Email
Minfu Feng Email