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Volume 22, Issue 3
A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation

Lu Wang, Youcai Xu & Minfu Feng

DOI: 10.4208/ijnam2025-1014

Int. J. Numer. Anal. Mod., 22 (2025), pp. 307-339.

Published online: 2025-03

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  • 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.

  • Keywords

Elastic wave equation, mixed finite element method, proper orthogonal decomposition, locking free, implicit scheme, reduced-order model.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-22-307, author = {Wang , LuXu , Youcai and Feng , Minfu}, title = {A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2025}, volume = {22}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2025-1014}, url = {http://global-sci.org/intro/article_detail/ijnam/23881.html} }
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 -

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.

Wang , LuXu , Youcai and Feng , Minfu. (2025). A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation. International Journal of Numerical Analysis and Modeling. 22 (3). 307-339. doi:10.4208/ijnam2025-1014
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