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.

引用

页数：24

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