TY  - EJOU
AU  - Wang, Liqun 
AU  - Hou, Songming 
AU  - Shi, Liwei 

TI  - A Simple FEM for Solving Two-Dimensional Diffusion Equation with Nonlinear Interface Jump Conditions
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2019
VL  - 119
IS  - 1
SN  - 1526-1506

AB  - 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 <i>L<sup>∞</sup></i> norm.
KW  - Finite element method
KW  -  parabolic equation
KW  -  interface problems
KW  -  nonlinear jump conditions

DO  - 10.32604/cmes.2019.04581