Mixed finite element method for multi-layer elastic contact systems

被引：1

作者：

Zhang, Zhizhuo ^{[1
]}

Barboteu, Mikael ^{[2
]}

Nie, Xiaobing ^{[1
]}

Dumont, Serge ^{[2
]}

Abdel-Aty, Mahmoud ^{[3
,4
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

[2] Univ Perpignan Via Domitia, Lab Modelisat Pluridisciplinaire & Simulat, 52 Ave Paul Alduy, F-66860 Perpignan, France

[3] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[4] Ahlia Univ, Deanship Grad Studies & Sci Res, Manama 10878, Bahrain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 457卷

关键词：

Mixed finite element method; Variational inequality; Contact problem; Tresca's friction law; Pavement mechanics; FRICTION; ALGORITHM;

D O I：

10.1016/j.cam.2024.116281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the development of multi-layer elastic systems in the field of engineering mechanics, the corresponding variational inequality theory and algorithm design have received more attention and research. In this study, a class of equivalent saddle point problems with interlayer Tresca friction conditions and the mixed finite element method are proposed and analyzed. Then, the convergence of the numerical solution of the mixed finite element method is theoretically proven, and the corresponding algebraic dual algorithm is provided. Finally, through numerical experiments, the mixed finite element method is not only compared with the layer decomposition method, but also its convergence relationship with respect to the spatial discretization parameter H is verified.

引用

页数：24

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