Реферат: 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.

Библиографическая ссылка: 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

Даты:

Поступила в редакцию:	6 июн. 2025 г.
Принята к публикации:	14 июл. 2025 г.
Опубликована online:	14 авг. 2025 г.

Идентификаторы БД:

Scopus:	2-s2.0-105013305255
РИНЦ:	82814793

Цитирование в БД:

БД	Цитирований
Scopus	2

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