Space-time finite element based primal-dual active set method for the non-smooth problem of impact of rigid obstacle by elastic bar Full article
| Journal |
Computational Mathematics and Modeling
ISSN: 1046-283X |
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| Output data | Year: 2025, DOI: 10.1007/s10598-025-09629-9 | ||||
| Tags | Contact and impact dynamics , Variational inequality, Bar impact, Discontinuous velocity, Space-time finite element, Primal-dual active set method | ||||
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Abstract:
The 1D dynamic problem describing discontinuous impact of a rigid obstacle by an elastic bar is considered
in the variational formulation. For its numerical solution within the space-time finite element method (STFEM)
discretization, the primal-dual active set (PDAS) algorithm is constructed. The piece-wise linear solution given
in the closed form, and conservation of the energy provided by persistency conditions, are established on
a suitable partition of the space-time domain. Advantages of the suggested variational approach are validated
in computational tests of the impact problem on uniform triangle grids in 2D. The numerical result is free of
spurious oscillations, not dissipative, indistinguishable from the analytical solution at grid points, and convergent
by mesh refinement.
Cite:
Kovtunenko V.A.
Space-time finite element based primal-dual active set method for the non-smooth problem of impact of rigid obstacle by elastic bar
Computational Mathematics and Modeling. 2025. DOI: 10.1007/s10598-025-09629-9 Scopus РИНЦ
Space-time finite element based primal-dual active set method for the non-smooth problem of impact of rigid obstacle by elastic bar
Computational Mathematics and Modeling. 2025. DOI: 10.1007/s10598-025-09629-9 Scopus РИНЦ
Dates:
| Submitted: | Jun 6, 2025 |
| Accepted: | Jul 14, 2025 |
| Published online: | Aug 14, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105013305255 |
| Elibrary: | 82814793 |
Citing:
| DB | Citing |
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| Scopus | 2 |