A Fully-Discrete Finite Element Scheme and Projection-Iteration Algorithm for a Dynamic Contact Problem with Multi-contact Zones and Unilateral Constraint

被引：5

作者：

Cai, Dong-Ling ^{[1
]}

Hu, Jingyan ^{[2
]}

Xiao, Yi-Bin ^{[1
]}

Zeng, Ping ^{[2
]}

Zhou, Guanyu ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2023年 / 96卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Dynamic contact problem; Multi-contact zones; Finite element method; Error estimates; Projection-iteration algorithm; VARIATIONAL-HEMIVARIATIONAL INEQUALITIES; NUMERICAL-ANALYSIS; BOUNDARY-CONDITION; STOKES EQUATIONS;

D O I：

10.1007/s10915-023-02228-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully discrete finite element scheme is proposed to solve the dynamic viscoelastic contact problem with multi-contact zones and unilateral constraints. We develop the well-posedness and error analysis of the nonlinear numerical scheme under appropriate assumptions on the regularity of the solution. Moreover, we provide a projection-iteration algorithm for computation and show the convergence. Several numerical experiments are carried out to validate the theoretical results.

引用

页数：28

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