A Simple FEM for Solving Two-Dimensional Diffusion Equation with Nonlinear Interface Jump Conditions

• 作者: Liqun Wang Liwei Shi Songming Hou
• 来源期刊: 工程与科学中的计算机建模(英文)
• 学科: 数学
• 关键词: Finite element method PARABOLIC equation INTERFACE problems NONLINEAR JUMP conditions
• 年，卷（期）: 2019,（4）
• 页码范围: 73-90
• 页数: 18页
• 分类号: O17

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.