TY - JOUR
T1 - Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes
AU - Dai , Shuyang
AU - Sun , Zhiyuan
AU - Wang , Fengru
AU - Yang , Jerry Zhijian
AU - Yuan , Cheng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 251
EP - 278
PY - 2022
DA - 2022/02
SN - 15
DO - http://doi.org/10.4208/nmtma.OA-2021-0135
UR - https://global-sci.org/intro/article_detail/nmtma/20230.html
KW - Wave equation, absorbing interface condition, spurious reflection, Padé via Lanczos.
AB - <p style="text-align: justify;">In this paper, we propose hierarchical absorbing interface conditions to
solve the problem of wave propagation in domains with a non-uniform space discretization or grid size inhomogeneity using Padé&nbsp;Via Lanczos (PVL) method. The
proposed interface conditions add an auxiliary variable in the wave system to eliminate the spurious reflection at the interface between regions with different mesh
sizes. The auxiliary variable with proper boundary condition can suppress the spurious reflection by cancelling the boundary source term produced by the space inhomogeneity in variational perspective. The new hierarchical interface conditions
with the help of PVL implementation can effectively reduce the degree of freedom
in solving the wave propagation problem.</p>