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41
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response
Mathematical Models and Methods in Applied Sciences. 2021.
V.31. N03. P.649-674. DOI: 10.1142/s0218202521500159
WOS
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РИНЦ
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42
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KOVTUNENKO V.A.
, ZUBKOVA A.V.
Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions
European Journal of Applied Mathematics. 2021.
V.32. N4. P.683-710. DOI: 10.1017/s095679252000025x
WOS
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РИНЦ
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43
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Bauer E.
, Kovtunenko V.A.
, Krejčí P.
, Krenn N.
, Siváková L.
, Zubkova A.V.
On proportional deformation paths in hypoplasticity
Acta Mechanica. 2020.
V.231. N4. P.1603-1619. DOI: 10.1007/s00707-019-02597-3
WOS
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РИНЦ
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44
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Kovtunenko V.A.
, Kohji O.
Shape differentiability of Lagrangians and application to overdetermined problems
In compilation
Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Proceedings of the International Conference CoMFoS18.
– Springer.,
2020.
– Т.34. – C.97-110. – ISBN 9789811560644. DOI: 10.1007/978-981-15-6062-0_7
РИНЦ
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45
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Kovtunenko V.A.
, Reichelt S.
, Zubkova A.V.
Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains
Mathematical Methods in the Applied Sciences. 2020.
V.43. N4. P.1838-1856. DOI: 10.1002/mma.6007
WOS
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РИНЦ
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46
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity
International Journal of Engineering Science. 2020.
V.151. 103272
. DOI: 10.1016/j.ijengsci.2020.103272
WOS
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47
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BAUER E.
, KRENN N.
, KOVTUNENKO V.A.
, ZUBKOVA A.
, KREJČÍ P.
, SIVÁKOVÁ L.
Modified model for proportional loading and unloading of hypoplastic materials
In compilation
Extended Abstracts Spring 2018. Singularly Perturbed Systems, Multiscale Phenomena and Hysteresis: Theory and Applications.
– Birkhaeuser.,
2019.
– C.201-210. – ISBN 978-3-030-25260-1. DOI: 10.1007/978-3-030-25261-8_30
Scopus
РИНЦ
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48
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Kovtunenko V.A.
, Zubkova A.V.
Homogenization of the generalized Poisson-Nernst-Planck problem in two-phase medium: The corrector due to nonlinear interface condition
In compilation
Modern Treatment of Symmetries, Differential Equations and Applications (Symmetry 2019).
– AIP Publishing.,
2019.
– Т.2153. – ISBN 9780735418981. DOI: 10.1063/1.5125075
Scopus
РИНЦ
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49
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress
International Journal of Engineering Science. 2019.
V.136. P.17-25. DOI: 10.1016/j.ijengsci.2018.12.005
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РИНЦ
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50
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
Crack problem within the context of implicitly constituted quasi-linear viscoelasticity
Mathematical Models and Methods in Applied Sciences. 2019.
V.29. N02. P.355-372. DOI: 10.1142/s0218202519500118
WOS
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РИНЦ
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51
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Kovtunenko V.A.
, Krejčí P.
, Krenn N.
, Bauer E.
, Siváková L.
, Zubkova A.V.
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials
Mathematical Models in Engineering. 2019.
V.5. N4. P.119-126. DOI: 10.21595/mme.2019.21220
РИНЦ
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52
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Ghilli D.
, Kunisch K.
, Kovtunenko V.A.
Inverse problem of breaking line identification by shape optimization
Journal of Inverse and Ill-Posed Problems. 2019.
V.28. N1. P.119-135. DOI: 10.1515/jiip-2019-0047
WOS
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РИНЦ
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53
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Kovtunenko V.A.
Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution
Vibroengineering Procedia. 2019.
V.22. P.31-35. DOI: 10.21595/vp.2019.20513
Scopus
РИНЦ
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54
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Kovtunenko V.A.
, Zubkova A.V.
Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium
Kinetic and Related Models. 2018.
V.11. N1. P.119-135. DOI: 10.3934/krm.2018007
WOS
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РИНЦ
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55
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Cakoni F.
, Kovtunenko V.A.
Topological optimality condition for the identification of the center of an inhomogeneity
Inverse Problems. 2018.
V.34. N3. 035009
. DOI: 10.1088/1361-6420/aaa997
WOS
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РИНЦ
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56
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Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body
Mathematics and Mechanics of Solids. 2018.
V.23. N3. P.433-444. DOI: 10.1177/1081286517709517
WOS
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РИНЦ
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57
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Kovtunenko V.A.
, Kunisch K.
Revisiting generalized FEM: a Petrov–Galerkin enrichment based FEM interpolation for Helmholtz problem
Calcolo. 2018.
V.55. N3. 38
. DOI: 10.1007/s10092-018-0280-5
WOS
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РИНЦ
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58
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Kovtunenko V.A.
, Ohtsuka K.
Shape Differentiability of Lagrangians and Application to Stokes Problem
SIAM Journal on Control and Optimization. 2018.
V.56. N5. P.3668-3684. DOI: 10.1137/17m1125327
WOS
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59
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Gonzalez Granada J.R.
, Gwinner J.
, Kovtunenko V.
On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem
Axioms. 2018.
V.7. N4. 76
. DOI: 10.3390/axioms7040076
WOS
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РИНЦ
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60
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González Granada J.R.
, Kovtunenko V.A.
Entropy method for generalized Poisson–Nernst–Planck equations
Analysis and Mathematical Physics. 2018.
V.8. N4. P.603-619. DOI: 10.1007/s13324-018-0257-1
WOS
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РИНЦ
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