High order interface-penalty finite element methods for elasticity interface in 3D

被引：5
|
作者：
Zhang, Xiaodi [1 ,2 ]
机构：
[1] Zhengzhou Univ, Henan Acad Big Data, Zhengzhou 450052, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2022年 / 114卷
关键词：
Elasticity interface problems; Unfitted mesh; Interface-penalty finite element method; Error estimates; Nitsche's method; EQUATIONS;
D O I：
10.1016/j.camwa.2022.03.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose high-order interface-penalty finite element methods for elasticity interface problems in three dimensions. Optimal error estimates are proven in energy norms for interface-penalty finite element methods. The error estimates are independent of the cut configurations. A series of three-dimensional numerical results confirm the efficiency of the proposed methods.
引用
收藏
页码：161 / 170
页数：10
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