scholarly journals A source transfer domain decomposition method for time-harmonic elastic wave equations

2016 ◽  
Vol 46 (10) ◽  
pp. 1359-1371
Author(s):  
Zhiming CHEN ◽  
Tao CUI ◽  
Xueshuang XIANG
Keyword(s):  
Elastic Wave ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Wave Equations ◽  
Domain Decomposition Method ◽  
Harmonic Elastic Wave ◽  
Time Harmonic ◽  
Elastic Wave Equations

Spectral‐domain decomposition methods for the solution of acoustic and elastic wave equations

Geophysics ◽  
1996 ◽  
Vol 61 (4) ◽  
pp. 1160-1174 ◽  
Author(s):  
Ezio Faccioli ◽  
Fabio Maggio ◽  
Alfio Quarteroni ◽  
Aldo Taghan
Keyword(s):  
Domain Decomposition ◽  
Wave Equations ◽  
Heterogeneous Media ◽  
Domain Decomposition Method ◽  
Decomposition Methods ◽  
Spectral Domain ◽  
Test Cases ◽  
Domain Decomposition Methods ◽  
Elastic Wave Equations ◽  
The Stability

A new spectral‐domain decomposition method is presented for acoustic and elastodynamic wave propagation in 2-D heterogeneous media. Starting from a variational formulation of the problem, two different approaches are proposed for the spatial discretization: a mixed Fourier‐Legendre and a full Legendre collocation. The matching conditions at subdomain interfaces are carefully analyzed, and the stability and efficiency of time‐advancing schemes are investigated. The numerical validation with some significant test cases illustrates the accuracy, flexibility, and robustness of our methods. These allow the treatment of complex geometries and heterogeneous media while retaining spectral accuracy.

Sign in / Sign up

Export Citation Format

Share Document