@Article{AAMM-10-3,
author = {Wang, Liqun and Songming, Hou and Shi, Liwei},
title = {A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {3},
pages = {752--766},
abstract = {<p style="text-align: justify;">In this paper, a new method was proposed for solving two-dimensional nonlinear elliptic-parabolic interface problems with nonhomogeneous jump conditions. The method we used is a finite element method coupled with Newton&#39;s method. It is very simple and easy to implement. The grid we used here is body-fitting grids based on the idea of semi-Cartesian grid. Numerical experiments show that this method is about second order accurate in the $L^∞$ norm for different kinds of nonlinear terms and interface with complicated geometry.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2017-0097},
url = {https://global-sci.com/article/73198/a-fem-for-solving-two-dimensional-nonlinear-elliptic-parabolic-interface-problems-with-nonhomogeneous-jump-conditions}
}