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Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration
- Source :
- Computers & Mathematics with Applications. 77:2596-2607
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In this paper numerical approximation of history-dependent hemivariational inequalities with constraint is considered, and corresponding Cea’s type inequality is derived for error estimate. For a viscoelastic contact problem with normal penetration, an optimal order error estimate is obtained for the linear element method. A numerical experiment for the contact problem is reported which provides numerical evidence of the convergence order predicted by the theoretical analysis.
- Subjects :
- Linear element
Numerical analysis
010103 numerical & computational mathematics
Penetration (firestop)
Type inequality
01 natural sciences
Viscoelasticity
010101 applied mathematics
Computational Mathematics
Computational Theory and Mathematics
Numerical approximation
Modeling and Simulation
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 77
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi...........79e6a9ac1fcbd12eeaf802d92ac8fe5a
- Full Text :
- https://doi.org/10.1016/j.camwa.2018.12.038