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

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...

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Bibliographic Details
Published in:Journal of scientific computing Vol. 96; no. 1; p. 3
Main Authors: Cai, Dong-Ling, Hu, Jingyan, Xiao, Yi-Bin, Zeng, Ping, Zhou, Guanyu
Format: Journal Article
Language:English
Published: New York Springer US 01.07.2023
Springer Nature B.V
Subjects:
Algorithms
Approximation
Banach spaces
Computational Mathematics and Numerical Analysis
Convex analysis
Error analysis
Friction
Iterative algorithms
Iterative methods
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Theoretical
Viscoelasticity
Dynamic contact problem
Finite element method
65M15
74H15
Multi-contact zones
Error estimates
Projection-iteration algorithm
65M06
74D10
ISSN:0885-7474, 1573-7691
Online Access:Get full text
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Summary: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.
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ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-023-02228-z