IMMERSED FINITE ELEMENT METHODS FOR ELLIPTIC INTERFACE PROBLEMS WITH NON-HOMOGENEOUS JUMP CONDITIONS

被引：1

作者：

He, Xiaoming ^{[1
]}

Lin, Tao ^{[2
]}

Lin, Yanping ^{[3
,4
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[2] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[3] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[4] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2011年 / 8卷 / 02期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

interface problems; immersed interface; finite element; nonhomogeneous jump conditions; MATCHED INTERFACE; EQUATIONS; SIMULATION; SCHEMES; SPACE; ORDER; FIELD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and non-homogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstrate that these IFE functions have the usual approximation capability expected from polynomials employed. The related IFE methods based on the Galerkin formulation can be considered as natural extensions of those IFE methods in the literature developed for homogeneous jump conditions, and they can optimally solve the interface problems with a nonhomogeneous flux jump condition.

引用

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页码：284 / 301

页数：18

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