A new Petrov-Galerkin immersed finite element method for elliptic interface problems with non-homogeneous jump conditions

被引：0
|
作者：
Tang, Zhongliang [1 ]
Zheng, Yu [1 ]
Wang, Liqun [2 ]
Wang, Quanxiang [1 ]
机构：
[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China
[2] China Univ Petr, Coll Sci, Beijing 102249, Peoples R China
来源：
JOURNAL OF ENGINEERING MATHEMATICS | 2023年 / 141卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cartesian mesh; Immersed finite element; Petrov-Galerkin; Three-dimensional interface problems; EQUATIONS; APPROXIMATION; FLOW;
D O I：
10.1007/s10665-023-10286-3
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we develop a Petrov-Galerkin immersed finite element method for solv-ing elliptic interface problems in two and three dimensions. By introducing additional immersed finite element function on interface element, the non-homogeneous jump conditions can be dealt easily. In various test cases, including large jump in the coeffi-cients and complex interfaces, the method can provide nearly second-order accuracy in the L-2 and L-8 norm.
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页数：24
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