Discontinuous Galerkin method for the diffusive-viscous wave equation

被引：8

作者：

Zhang, Min ^{[1
]}

Yan, Wenjing ^{[1
]}

Jing, Feifei ^{[2
,3
]}

Zhao, Haixia ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China

[3] Northwestern Polytech Univ, Xian Key Lab Sci Computat & Appl Stat, Xian 710129, Shaanxi, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 183卷

基金：

中国国家自然科学基金;

关键词：

Discontinuous Galerkin method; Diffusive-viscous wave equation; Error estimates; Variable coefficients; FINITE-ELEMENT-METHOD; PROPAGATION;

D O I：

10.1016/j.apnum.2022.08.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops and analyzes the discontinuous Galerkin method for the diffusive-viscous wave equation. The proposed numerical scheme is established by using the discontinuous Galerkin discretization for the spatial variable and a tailored finite difference scheme to approximate the first and second order temporal derivative terms. A second order temporal convergence rate and the optimal order spatial error estimate in the DG norm are derived. We also provide the optimal spatial error estimate in the L-2(omega)-norm under the extra parameter assumption. Numerical tests are presented to illustrate the predicted convergence behaviours and the versatility of the proposed method. (C) 2022 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：118 / 139

页数：22

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