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Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation

Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation

Year:    2022

Author:    Wensheng Zhang, Atish Kumar Joardar

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 891–911

Abstract

The stability of high-order finite-difference schemes on a staggered-grid for two-dimensional poroelastic wave equations with spatially varying material parameters is studied. Using the energy method, we obtain sufficient stability conditions. This allows to find suitable time and spatial steps according to material parameters and the difference scheme coefficients. Two numerical examples verify the theoretical analysis and show that the corresponding range for the time step is close to that in the necessary condition. The perfectly matched layer is adopted in order to eliminate boundary reflections.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.260122.280422

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 891–911

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Stability poroelastic wave equation energy method high-order scheme wave simulation.

Author Details

Wensheng Zhang Email

Atish Kumar Joardar Email