Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866911743573229568 |
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| author | Bartman, Piotr Bartosz, Krzysztof Jureczka, Michał Szafraniec, Paweł |
| author_facet | Bartman, Piotr Bartosz, Krzysztof Jureczka, Michał Szafraniec, Paweł |
| contents | In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system of second-order inclusion for displacement and a parabolic equation for temperature. We provide a fully discrete approximation of the problem and find optimal error estimates without any smallness assumption on the data. The theoretical result is illustrated by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_07845 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem Bartman, Piotr Bartosz, Krzysztof Jureczka, Michał Szafraniec, Paweł Numerical Analysis Mathematical Physics In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system of second-order inclusion for displacement and a parabolic equation for temperature. We provide a fully discrete approximation of the problem and find optimal error estimates without any smallness assumption on the data. The theoretical result is illustrated by numerical simulations. |
| title | Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/1901.07845 |