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1
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Kovtunenko V.A.
, Renard Y.
Convergence analysis of semi-smooth Newton method for mixed FEM approximations of dynamic two-body contact and crack problems
Journal of Computational and Applied Mathematics. 2026.
V.471. 116722
:1-16. DOI: 10.1016/j.cam.2025.116722
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2
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Kovtunenko V.A.
, Lazarev N.P.
Weak and strong formulations for a Timoshenko plate with crack indented by wedge and subjected to non-penetration conditions
Optimization. 2026.
DOI: 10.1080/02331934.2025.2516457
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3
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Lazarev N.P.
, Kovtunenko V.A.
Contact problem for a cracked Timoshenko plate with a wedge-shaped obstacle
Journal of Computational and Applied Mathematics. 2026.
V.473. 116884
. DOI: 10.1016/j.cam.2025.116884
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4
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Bauer E.
, Kovtunenko V.A.
, Krejčí P.
, Monteiro G.A.
, Paoli L.
, Petrov A.
Non-convex sweeping processes in contact mechanics
Nonlinear Analysis: Real World Applications. 2026.
V.87. N104456. DOI: 10.1016/j.nonrwa.2025.104456
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5
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Kovtunenko V.A.
, Lazarev N.P.
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack
Mathematics and Mechanics of Solids. 2026.
V.31. N3. P.417–425. DOI: 10.1177/10812865251353453
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6
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Kovtunenko V.A.
, Petrov A.
, Renard Y.
Space-time FEM solution of dynamic contact problem with discontinuous velocity for multiple impact of deformed bar using PDAS method
Mathematical Methods in the Applied Sciences. 2026.
DOI: 10.1002/mma.70370
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7
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Kovtunenko V.A.
Collision of an obstacle by an elastic bar in a gravity field: solution with discontinuous velocity and space-time primal-dual active set algorithm
Algorithms. 2026.
V.19. N1. 88
. DOI: 10.3390/a19010088
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8
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Hiromichi Itou
, Victor A. Kovtunenko
, Masahiro Yamamoto
Solution of nonlinear variational problems for generalized fractional viscoelastic models
International Journal of Engineering Science. 2026.
V.223. 104513
. DOI: 10.1016/j.ijengsci.2026.104513
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9
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Victor A. Kovtunenko
Non-unique solution with discontinuous velocity for collision of elastic bar with high initial speed by ST-PDAS restoring energy
Journal of Mathematical Sciences (United States). 2026.
P.1-16. DOI: 10.1007/s10958-026-08266-w
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10
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Kovtunenko V.A.
Fourier series and ST-PDAS solutions for non-smooth 1D collision problem with gravity
Computational Mathematics and Modeling. 2026.
DOI: 10.1007/s10598-026-09695-7
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11
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Bauer E.
, Kovtunenko V.A.
, Krejčí P.
, Monteiro G.A.
, Paoli L.
, Petrov A.
Modeling the railway track ballast behavior with hypoplasticity
Journal of Mathematical Sciences (United States). 2025.
V.290. N5. P.666-673. DOI: 10.1007/s10958-025-07602-w
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12
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Hiromichi I.
, Kovtunenko V.A.
, Nakamura G.
Solution of viscoelastic creep models for anisotropic materials with linear relation between strain and stress but nonlinear with respect to time
Applications in Engineering Science. 2025.
V.22. 100219
:1-5. DOI: 10.1016/j.apples.2025.100219
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13
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Kovtunenko V.A.
Impact of log-normal particle size distribution in Holby-Morgan degradation model on aging of Pt/C catalyst in PEMFC
Technologies. 2025.
V.13. N7. 262
:1-15. DOI: 10.3390/technologies13070262
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14
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
Nonlinear model of a porous body with fluid-driven fracture under cohesion contact conditions and fluid volume control
Mathematical Models and Methods in Applied Sciences. 2025.
V.35. N11. P.2311-2328. DOI: 10.1142/s021820252550040x
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15
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Kovtunenko V.A.
, Renard Y.
FEM approximation of dynamic contact problem for fracture under fluid volume control using generalized HHT-α and semi-smooth Newton methods
Applied Numerical Mathematics. 2025.
V.218. P.148-158. DOI: 10.1016/j.apnum.2025.07.009
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16
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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.
V.36. N1. P.151–163. DOI: 10.1007/s10598-025-09629-9
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17
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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
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18
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Kovtunenko V.A.
, Atlasiuk O.M.
Poroelastic medium with non-penetrating crack driven by hydraulic fracture: FEM approximation using HHT-alpha and semi-smooth Newton methods
Algorithms. 2025.
V.18. N9. 579
:1-14. DOI: 10.3390/a18090579
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19
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly
Zeitschrift fur Angewandte Mathematik und Physik. 2024.
V.75. N1. 22
:1-14. DOI: 10.1007/s00033-023-02160-0
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20
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Kovtunenko V.A.
, Itou H.
, Khludnev A.M.
, Rudoy E.M.
Non-smooth variational problems and applications in mechanics
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N2275. 20230310
. DOI: 10.1098/rsta.2023.0310
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