@Article{CSIAM-AM-5-735,
author = {Chen , ZhimingLiu , Yong and Xiang , Xueshuang},
title = {A High Order Explicit Time Finite Element Method for the Acoustic Wave Equation with Discontinuous Coefficients},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2024},
volume = {5},
number = {4},
pages = {735--787},
abstract = {<p style="text-align: justify;">In this paper, we propose a novel high order unfitted finite element method
on Cartesian meshes for solving the acoustic wave equation with discontinuous coefficients having complex interface geometry. The unfitted finite element method does
not require any penalty to achieve optimal convergence. We also introduce a new explicit time discretization method for the ordinary differential equation (ODE) system
resulting from the spatial discretization of the wave equation. The strong stability and
optimal $hp$-version error estimates both in time and space are established. Numerical
examples confirm our theoretical results.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2023-0043},
url = {http://global-sci.org/intro/article_detail/csiam-am/23586.html}
}