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NUMERICAL ANALYSIS OF A HISTORY-DEPENDENT VARIATIONAL-HEMIVARIATIONAL INEQUALITY FOR A VISCOPLASTIC CONTACT PROBLEM.
- Source :
-
International Journal of Numerical Analysis & Modeling . 2020, Vol. 17 Issue 6, p820-838. 19p. - Publication Year :
- 2020
-
Abstract
- In this paper, we consider a mathematical model which describes the quasistatic frictionless contact between a viscoplastic body and a foundation. The contact is modeled with normal compliance and unilateral constraint. We present the variational-hemivariational formulation of the model and prove its unique solvability. Then we introduce a fully discrete scheme to solve the problem and derive an error estimate. Under appropriate regularity assumptions of the exact solution, we obtain the optimal order error estimate. Finally, numerical results are reported to show the performance of the numerical method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMERICAL analysis
*MATHEMATICAL models
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 17055105
- Volume :
- 17
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Numerical Analysis & Modeling
- Publication Type :
- Academic Journal
- Accession number :
- 148486824