@Article{EAJAM-12-4,
author = {Zhang, Wensheng and Kumar, Joardar, Atish},
title = {Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {4},
pages = {891--911},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.260122.280422},
url = {https://global-sci.com/article/82497/stability-of-high-order-finite-difference-schemes-for-poroelastic-wave-simulation}
}