@Article{AAMM-10-752, author = {Wang , LiqunHou , Songming 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 = {

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'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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0097}, url = {http://global-sci.org/intro/article_detail/aamm/12234.html} }