A Numerical Method for Solving Two-Dimensional Elliptic Interface Problems with Nonhomogeneous Flux Jump Condition and Nonlinear Jump Condition

被引：1

作者：

Wang, Liqun ^{[2
]}

Hou, Songming ^{[3
]}

Shi, Liwei ^{[1
]}

机构：

[1] China Univ Polit Sci & Law, Dept Sci & Technol Teaching, Beijing 102249, Peoples R China

[2] China Univ Petr, Dept Math, Coll Sci, Beijing 102249, Peoples R China

[3] Louisiana Tech Univ, Dept Math & Stat, Ruston, LA 71272 USA

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2017年 / 18卷 / 3-4期

关键词：

finite element method; elliptic equation; two-dimensional interface problems; nonlinear jump conditions; FINITE-ELEMENT METHODS; DISCONTINUOUS COEFFICIENTS; MATCHED INTERFACE; EQUATIONS; FORMULATION;

D O I：

10.1515/ijnsns-2016-0101

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose a new method for solving two-dimensional elliptic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition. The method we used is traditional 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-infinity norm.

引用

页码：245 / 254

页数：10

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