Commun. Comput. Phys., 12 (2012), pp. 703-720.

Stability Conditions for Wave Simulation in 3-D Anisotropic Media with the Pseudospectral Method

Wensheng Zhang 1*

1 LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box Beijing 2719, P.R. China.

Received 12 June 2010; Accepted (in revised version) 9 September 2011
Available online 1 March 2012


Simulation of elastic wave propagation has important applications in many areas such as inverse problem and geophysical exploration. In this paper, stability conditions for wave simulation in 3-D anisotropic media with the pseudospectral method are investigated. They can be expressed explicitly by elasticity constants which are easy to be applied in computations. The 3-D wave simulation for two typical anisotropic media, transversely isotropic media and orthorhombic media, are carried out. The results demonstrate some satisfactory behaviors of the pseudospectral method.

AMS subject classifications: 35L05, 65C20, 65N12, 65T99, 68U20

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Key words: Wave simulation, stability conditions, 3-D, anisotropic media, pseudospectral method.

*Corresponding author.
Email: (W. S. Zhang)

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