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Zhang, W., Chung, E.T. and Wang, C. (2014) Stability for Imposing Absorbing Boundary Conditions in the Finite Element Simulation of Acoustic Wave Propagation. Journal of Computational Mathematics, 32, 1-20.
https://doi.org/10.4208/jcm.1310-m3942

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.