A numerical method for solving three-dimensional elliptic interface problems with triple junction points

被引：0
作者：
Liqun Wang
Songming Hou
Liwei Shi
机构：
[1] China University of Petroleum-Beijing,Department of Mathematics, College of Science
[2] Louisiana Tech University,Department of Mathematics and Statistics
[3] China University of Political Science and Law,Department of Science and Technology Teaching
来源：
Advances in Computational Mathematics | 2018年 / 44卷
关键词：
Elliptic equations; Non-body-fitting mesh; Finite element method; Multi-domains; Jump condition; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Elliptic interface problems with multi-domains have wide applications in engineering and science. However, it is challenging for most existing methods to solve three-dimensional elliptic interface problems with multi-domains due to local geometric complexity, especially for problems with matrix coefficient and sharp-edged interface. There are some recent work in two dimensions for multi-domains and in three dimensions for two domains. However, the extension to three dimensional multi-domain elliptic interface problems is non-trivial. In this paper, we present an efficient non-traditional finite element method with non-body-fitting grids for three-dimensional elliptic interface problems with multi-domains. Numerical experiments show that this method achieves close to second order accurate in the L∞ norm for piecewise smooth solutions.
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页码：175 / 193
页数：18
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