Numerical analysis of the diffusive-viscous wave equation

被引：6
|
作者：
Han, Weimin [1 ]
Song, Chenghang [2 ]
Wang, Fei [2 ,3 ]
Gao, Jinghuai [4 ,5 ]
机构：
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[3] Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
[4] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Shaanxi, Peoples R China
[5] Natl Engn Lab Offshore Oil Explorat, Xian 710049, Shaanxi, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 102卷
基金：
中国国家自然科学基金;
关键词：
Diffusive-viscous wave equation; Finite elements; Finite difference; Error estimates; DISCONTINUOUS GALERKIN METHOD; FINITE-ELEMENT METHODS; PROPAGATION; SIMULATION;
D O I：
10.1016/j.camwa.2021.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The diffusive-viscous wave equation arises in a variety of applications in geophysics, and it plays an important role in seismic exploration. In this paper, semi-discrete and fully discrete numerical methods are introduced to solve a general initial-boundary value problem of the diffusive-viscous wave equation. The spatial discretization is carried out through the finite element method, whereas the time derivatives are approximated by finite differences. Optimal order error estimates are derived for the numerical methods. Numerical results on a test problem are reported to illustrate the numerical convergence orders.
引用
收藏
页码：54 / 64
页数：11
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