A fourth‐order finite‐difference method for the acoustic wave equation on irregular grids

Geophysics ◽  
2003 ◽  
Vol 68 (2) ◽  
pp. 672-676 ◽  
Author(s):  
Sergio Adriano Moura Oliveira
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Acoustic Wave ◽  
Fourth Order ◽  
Difference Method ◽  
Acoustic Wave Equation ◽  
Irregular Grids

scholarly journals Finite Difference Method for Solving Acoustic Wave Equation Using Locally Adjustable Time-steps

2014 ◽  
Vol 29 ◽  
pp. 627-636 ◽  
Author(s):  
Alexandre J.M. Antunes ◽  
Regina C.P. Leal-Toledo ◽  
Otton Teixeira da Silveira Filho ◽  
Elson Magalhães Toledo
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Acoustic Wave ◽  
Difference Method ◽  
Acoustic Wave Equation

scholarly journals A Modified PML Acoustic Wave Equation

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 177 ◽  
Author(s):  
Dojin Kim
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Acoustic Wave ◽  
Difference Method ◽  
Acoustic Waves ◽  
Auxiliary Variable ◽  
Acoustic Wave Equation ◽  
Von Neumann ◽  
Standard Galerkin Method

In this paper, we consider a two-dimensional acoustic wave equation in an unbounded domain and introduce a modified model of the classical un-split perfectly matched layer (PML). We apply a regularization technique to a lower order regularity term employed in the auxiliary variable in the classical PML model. In addition, we propose a staggered finite difference method for discretizing the regularized system. The regularized system and numerical solution are analyzed in terms of the well-posedness and stability with the standard Galerkin method and von Neumann stability analysis, respectively. In particular, the existence and uniqueness of the solution for the regularized system are proved and the Courant-Friedrichs-Lewy (CFL) condition of the staggered finite difference method is determined. To support the theoretical results, we demonstrate a non-reflection property of acoustic waves in the layers.

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