The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model

被引：0
|
作者：
Wang, Lu [1 ]
Tan, Youjun [1 ]
Feng, Minfu [1 ]
机构：
[1] College of Mathematics, Sichuan University, Chengdu,610065, China
来源：
Applied Numerical Mathematics | 2025年 / 210卷
基金：
中国国家自然科学基金;
关键词：
Computational efficiency - Convergence of numerical methods - Elastic waves - Gravity waves - Liquid waves - Nonlinear equations - Solitons - Wave equations;
D O I：
10.1016/j.apnum.2024.12.006
中图分类号：
学科分类号：
摘要：
This paper introduces the hybrid high-order (HHO) method for solving the nonlinear strongly damped wave equation. We comprehensively analyze the semi-discrete and fully-discrete implicit schemes, including energy and L2 norm, with convergence rates of m+1 and m+2 in space (m≥0), respectively. In addition, we combine the two-grid algorithm (TGA) with the HHO method (TGA-HHO) to improve computational efficiency and analyze the TGA-HHO method. To improve the computational efficiency further, we combine the proper orthogonal decomposition (POD) technique with the TGA-HHO method (POD-TGA-HHO). Finally, we provide numerical examples to validate the effectiveness of the HHO, TGA-HHO, and POD-TGA-HHO algorithms. © 2024 IMACS
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页码：1 / 24
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