Stability of High-Order Staggered-Grid Schemes for 3D Elastic Wave Equation in Heterogeneous Media

• 作者: Atish Kumar Joardar Wensheng Zhang
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: 3D ELASTIC Wave INHOMOGENEOUS Media Staggered-Grid Scheme HIGH-ORDER STABILITY Energy ESTIMATE
• 年，卷（期）: 2019,（8）
• 页码范围: 1755-1774
• 页数: 20页
• 分类号: O1

摘要

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.