Author(s)

Atish Kumar Joardar^1,2,3, Wensheng Zhang^1,2*

¹Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China.
²School of Mathematical Sciences, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing, China.
³Department of Mathematics, Islamic University, Kushtia, Bangladesh.

In this paper, we firstly derive the stability conditions of high-order staggered-grid schemes for the three-dimensional (3D) elastic wave equation in heterogeneous media based on the energy method. Moreover, the plane wave analysis yields a sufficient and necessary stability condition by the von Neumann criterion in homogeneous case. Numerical computations for 3D wave simulation with point source excitation are given.

3D, Elastic Wave, Inhomogeneous Media, Staggered-Grid Scheme, High-Order, Stability, Energy Estimate

Joardar, A. and Zhang, W. (2019) Stability of High-Order Staggered-Grid Schemes for 3D Elastic Wave Equation in Heterogeneous Media. Journal of Applied Mathematics and Physics, 7, 1755-1774. doi: 10.4236/jamp.2019.78120.