A Weak Formulation for Solving the Elliptic Interface Problems with Imperfect Contact

被引:8
|
作者
Wang, Liqun [1 ]
Hou, Songming [2 ]
Shi, Liwei [3 ]
机构
[1] China Univ Petr, Coll Sci, Dept Math, Beijing 102249, Peoples R China
[2] Louisiana Tech Univ, Dept Math & Stat, Ruston, LA 71272 USA
[3] China Univ Polit Sci & Law, Dept Sci & Technol Teaching, Beijing 102249, Peoples R China
关键词
Elliptic equation; jump condition; matrix coefficient; imperfect contact; FINITE-ELEMENT METHODS; NUMERICAL-METHOD; DISCONTINUOUS COEFFICIENTS; MATCHED INTERFACE; EQUATIONS; FLOWS;
D O I
10.4208/aamm.2015.m1236
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a non-traditional finite element method with non-body-fitting grids to solve the matrix coefficient elliptic equations with imperfect contact in two dimensions, which has not been well-studied in the literature. Numerical experiments demonstrated the effectiveness of our method.
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页码:1189 / 1205
页数:17
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