THE IMMERSED FINITE VOLUME ELEMENT METHOD FOR SOME INTERFACE PROBLEMS WITH NONHOMOGENEOUS JUMP CONDITIONS

被引：0
|
作者：
Zhu, Ling [1 ,2 ]
Zhang, Zhiyue [1 ]
Li, Zhilin [1 ,3 ,4 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Prov Key Lab Numer Simulat Large Scale Co, Nanjing 210046, Jiangsu, Peoples R China
[2] Jiangsu Univ Sci & Technol, Dept Math & Phys, Hangzhou 212003, Zhejiang, Peoples R China
[3] N Carolina State Univ, Ctr Res Sci Computat, Raleigh, NC 27695 USA
[4] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2016年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Elliptic interface problem; non-homogeneous jump conditions; immersed finite volume element; NUMERICAL-METHOD; EQUATION; FLOW;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an immersed finite volume element (IFVE) method is developed for solving some interface problems with nonhomogeneous jump conditions. Using the source removal technique of nonhomogeneous jump conditions, the new IFVE method is the finite volume element method applied to the equivalent interface problems with homogeneous jump conditions and have properties of the usual finite volume element method. The resulting IFVE scheme is simple and second order accurate with a uniform rectangular partition and the dual meshes. Error analyses show that the new IFVE method with usual O(h(2)) convergence in the L-2 norm and O(h) in the H-1 norm. Numerical examples are also presented to demonstrate the efficiency of the new method.
引用
收藏
页码：368 / 382
页数：15
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