TY - JOUR
T1 - Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
AU - Zhang , Wensheng
AU - Joardar , Atish Kumar
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 891
EP - 911
PY - 2022
DA - 2022/08
SN - 12
DO - http://doi.org/10.4208/eajam.260122.280422
UR - https://global-sci.org/intro/article_detail/eajam/20889.html
KW - Stability, poroelastic wave equation, energy method, high-order scheme, wave simulation.
AB - <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>