Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains

2021 ◽  
Vol 59 (5) ◽  
pp. 2536-2570
Author(s):  
Jianliang Qian ◽  
Chao Song
Keyword(s):  
Elastic Wave ◽  
Gaussian Beam ◽  
Wave Equations ◽  
Three Dimensional ◽  
Bounded Domains ◽  
Beam Method ◽  
Elastic Wave Equations ◽  
Gaussian Beam Method

Numerical Computations of Elastic Wave Equations

1997 ◽  
Vol 05 (02) ◽  
pp. 157-176 ◽  
Author(s):  
Ding Lee ◽  
Raymond J. Nagem ◽  
Diana C. Resasco
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Elastic Wave ◽  
Numerical Scheme ◽  
Wave Equations ◽  
Analytic Solution ◽  
Three Dimensional ◽  
Computational Accuracy ◽  
Elastic Wave Equations ◽  
Differential Equation Method

An improved numerical scheme is introduced for solving a set of three-dimensional parabolic elastic wave equations. The new scheme is based on the combination of an ordinary differential equation method and a finite difference scheme. A stability analysis of the numerical method is presented along with a numerical example in which computational accuracy is verified by comparison with an exact three-dimensional analytic solution.

Staggered-Grid High-Order Differencemethod for the First-Order Elastic Wave Equations

2000 ◽  
Vol 43 (3) ◽  
pp. 441-449 ◽  
Author(s):  
Liang-Guo DONG ◽  
Zai-Tian MA ◽  
Jing-Zhong CAO
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
High Order ◽  
Staggered Grid ◽  
First Order ◽  
Elastic Wave Equations
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