TY - JOUR
T1 - A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions
AU - Wang , Liqun
AU - Hou , Songming
AU - Shi , Liwei
AU - Zhang , Ping
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 1
EP - 17
PY - 2018
DA - 2018/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12791.html
KW - Non-traditional finite element method, wave equation, jump condition, variable coefficient.
AB - <p style="text-align: justify;">Wave equations with interface jump conditions have wide applications in engineering
and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this
paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to
solve variable coefficient wave equations with interface jump conditions. Numerical experiments
show that this method is approximately second order accurate both in the $L^∞$&nbsp;norm and $L^2$&nbsp;norm
for piecewise smooth solutions.</p>