TITLE:
Stability of High-Order Staggered-Grid Schemes for 3D Elastic Wave Equation in Heterogeneous Media
AUTHORS:
Atish Kumar Joardar, Wensheng Zhang
KEYWORDS:
3D, Elastic Wave, Inhomogeneous Media, Staggered-Grid Scheme, High-Order, Stability, Energy Estimate
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.8,
August
19,
2019
ABSTRACT: 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.