Numerical Analysis of a Contact Problem with Wear
| Autor: | Danfu Han, Anna Ochal, Weimin Han, Michal Jureczka |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Imagination
Surface (mathematics) media_common.quotation_subject Numerical analysis Mathematical analysis 010103 numerical & computational mathematics Numerical Analysis (math.NA) 01 natural sciences 010101 applied mathematics Computational Mathematics Computational Theory and Mathematics Error analysis Modeling and Simulation Convergence (routing) FOS: Mathematics Mathematics - Numerical Analysis 0101 mathematics Quasistatic process 35Q74 49J40 65K10 65M60 74S05 74M15 74M10 74G15 media_common Mathematics |
| Zdroj: | Computers & Mathematics with Applications |
| DOI: | 10.48550/arxiv.1905.05541 |
| Popis: | This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact surface of the body caused by the friction. Some preliminary error analysis for a fully discrete approximation of the contact problem was provided in the previous paper. In this paper, we consider a more general fully discrete numerical scheme for the contact problem, derive optimal order error bounds and present computer simulation results showing that the numerical convergence orders match the theoretical predictions. Comment: 13 pages, 6 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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