Space-time primal-dual active set method: benchmark for collision of elastic bar with discontinuous velocity Научная публикация
| Журнал |
Computation
ISSN: 2079-3197 |
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| Вых. Данные | Год: 2025, Том: 13, Номер: 9, Номер статьи : 210, Страниц : 15 DOI: 10.3390/computation13090210 | ||||
| Ключевые слова | impact contact dynamics, variational inequality, discontinuous velocity, space-time finite element, primal-dual active set | ||||
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| Организации |
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Реферат:
The dynamic contact problem describing collision of an elastic bar with a rigid obstacle, prescribed by an initial velocity, is considered in a variational formulation. The non-smooth, piecewise-linear solution is constructed analytically using partition of a 2D rectangular
domain along characteristics. Challenged by the discontinuous velocity after collision, full discretization of the problem is applied that is based on a space-time finite element method. For an iterative solution of the discrete variational inequality, a primal–dual active set
algorithm is used. Computer simulation of the collision problem is presented on uniform triangle grids. The active sets defined in the 2D space-time domain converge in a few iterations after re-initialization. The benchmark solution at grid points is indistinguishable from the analytical solution. The discrete energy has no dissipation, it is free of spurious oscillations, and it converges super-linearly under mesh refinement.
Библиографическая ссылка:
Kovtunenko V.A.
Space-time primal-dual active set method: benchmark for collision of elastic bar with discontinuous velocity
Computation. 2025. V.13. N9. 210 :1-15. DOI: 10.3390/computation13090210 WOS Scopus РИНЦ OpenAlex
Space-time primal-dual active set method: benchmark for collision of elastic bar with discontinuous velocity
Computation. 2025. V.13. N9. 210 :1-15. DOI: 10.3390/computation13090210 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 31 июл. 2025 г. |
| Принята к публикации: | 18 авг. 2025 г. |
| Опубликована в печати: | 1 сент. 2025 г. |
Идентификаторы БД:
| Web of science: | WOS:001579585900001 |
| Scopus: | 2-s2.0-105017067009 |
| РИНЦ: | 82810644 |
| OpenAlex: | W4413893546 |