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

引用

页码：1 / 24