A LOCKING-FREE REDUCED-ORDER MODEL FOR SOLVING THE ELASTIC WAVE EQUATION

被引：0
作者：
Wang, Lu [1 ]
Xu, Youcai [1 ]
Feng, Minfu [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2025年 / 22卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Elastic wave equation; mixed finite element method; proper orthogonal decomposition; locking free; implicit scheme; reduced-order model; FINITE-ELEMENT-METHOD; PROPER ORTHOGONAL DECOMPOSITION; DISCONTINUOUS GALERKIN METHOD; PROPAGATION; ELASTODYNAMICS; APPROXIMATIONS; DIFFERENCE;
D O I：
10.4208/ijnam2025-1014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：307 / 339
页数：33
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