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Zhang, W. (2019) A New Family of Fourth-Order Locally One-Dimensional Schemes for the 3D Elastic Wave Equation. Journal of Computational and Applied Mathematics, 348, 246-260.
https://doi.org/10.1016/j.cam.2018.08.056

has been cited by the following article:

• 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.