TY - JOUR
T1 - A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation
AU - Wang , Lu
AU - Xu , Youcai
AU - Feng , Minfu
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 307
EP - 339
PY - 2025
DA - 2025/03
SN - 22
DO - http://doi.org/10.4208/ijnam2025-1014
UR - https://global-sci.org/intro/article_detail/ijnam/23881.html
KW - Elastic wave equation, mixed finite element method, proper orthogonal decomposition, locking free, implicit scheme, reduced-order model.
AB - <p style="text-align: justify;">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.</p>