摘要
In this paper,we propose a numerical method for solving parabolic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition.The main idea is to use traditional finite element method on semi-Cartesian mesh coupled with Newton’s method to handle nonlinearity.It is easy to implement even though variable coefficients are used in the jump condition instead of constant in previous work for elliptic interface problem.Numerical experiments show that our method is about second order accurate in the L1 norm.
基金
L.Shi’s research is supported by National Natural Science Foundation of China(No.11701569)
S.Hou’s research is supported by Dr.Walter Koss Professorship made available through Louisiana Board of Regents
L.Wang’s research is supported by Science Foundations of China University of Petroleum-Beijing(No.2462015BJB05).
