TY - JOUR
T1 - A Finite Difference Method for Elliptic Problems with Implicit Jump Condition
AU - Cao , Fujun
AU - Yuan , Dongfang
AU - Sheng , Zhiqiang
AU - Yuan , Guangwei
AU - He , Limin
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 439
EP - 457
PY - 2022
DA - 2022/06
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20654.html
KW - Implicit jump conditions, elliptic interface problem, imperfect contact.
AB - <p style="text-align: justify;">In this paper linear elliptic problems with imperfect contact interface are considered,
and a second order finite difference method is presented for linear problems, in which implicit
jump condition are imposed on the interface. Then, the stability and convergence analysis of the
FD scheme are given for the one-dimensional elliptic interface problem. Numerical examples are
carried out for the elliptic problems with imperfect contact interfaces, and the results demonstrate that the scheme has second order accuracy for elliptic interface problems of implicit jump
conditions with single and multiple imperfect interfaces.</p>