JOURNAL PUBLICATIONS:

[1] V.A. Kovtunenko, Convergence of solutions of variational inequalities in a contact problem for a plate with point constraints, in: Dinamika Sploshnoi Sredy 103, 55-64, Novosibirsk, 1991 (in Russian) [pdf]

[2] V.A. Kovtunenko, An iterative method for solving variational inequalities in a contact elastoplastic problem using the penalty method, Comput. Math. Math. Phys. 33 (1993), 9, 1245-1249 (in Russian) [pdf]

[3] V.A. Kovtunenko, Numerical solution of a contact problem for an elastoplastic beam by the penalty method, in: Dinamika Sploshnoi Sredy 109, 27-33, Novosibirsk, 1994 (in Russian) [pdf]

[4] V.A. Kovtunenko, Convergence of solutions of variational inequalities in the problem of the contact of a plate with a nonsmooth stamp, Differential Equations 30 (1994), 3, 452-456 (in Russian) [pdf]

[5] V.A. Kovtunenko, An iterative penalty method for variational inequalities with strongly monotone operators, Siberian Math. J. 35 (1994), 4, 735-738 [pdf]

[6] V.A. Kovtunenko, Numerical method of solving the problem of the contact of an elastic plate with an obstacle, J. Appl. Mech. Tech. Phys. 35 (1994), 5, 776--780 [pdf]

[7] V.A. Kovtunenko, Iteration penalty method for the contact elastoplastic problem, Control Cybernet. 23 (1994), 4, 803-808 [pdf]

[8] V.A. Kovtunenko, Numerical solution of a contact problem for the Timoshenko bar model, Izvestiya RAN. Mekhanika Tverdogo Tela (1996), 5, 79-84 (in Russian) [pdf]

[9] V.A. Kovtunenko, An iterative penalty method for a problem with constraints on the interior boundary, Siberian Math. J. 37 (1996), 3, 508-512 [pdf]

[10] V.A. Kovtunenko, Solution of the problem for a beam with a cut, J. Appl. Mech. Tech. Phys. 37 (1996), 4, 595-600 [pdf]

[11] V. Kovtunenko, Analytical solution of a variational inequality for a cutted bar, Control Cybernet. 25 (1996), 4, 801-808 [pdf]

[12] V. Kovtunenko, Iterative approximations of penalty operators, Numer. Funct. Anal. Optim. 18 (1997), 3-4, 383-387 [pdf]

[13] V. Kovtunenko, Iterative penalty method for plate with a crack, Adv. Math. Sci. Appl. 7 (1997), 2, 667-674 [pdf]

[14] V.A. Kovtunenko, A variational and a boundary value problems with friction on the interior boundary, Siberian Math. J. 39 (1998), 5, 1060-1073 [pdf]

[15] V.A. Kovtunenko, A.N. Leont'ev and A.M. Khludnev, Equilibrium problem of a plate with an oblique cut, J. Appl. Mech. Tech. Phys. 39 (1998), 2, 302-311 [pdf]

[16] V.A. Kovtunenko, Solution of the problem of the optimal cut in an elastic beam, J. Appl. Mech. Tech. Phys. 40 (1999), 5, 908-916 [pdf]

[17] V.A. Kovtunenko, Crack in a solid under Coulomb friction law, Appl. Math. 45 (2000), 4, 265-290 [pdf]

[18] M. Bach, A.M. Khludnev and V.A. Kovtunenko, Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions, Math. Meth. Appl. Sci. 23 (2000), 6, 515-534 [pdf]

[19] V.A. Kovtunenko, Sensitivity of cracks in 2D-Lame problem via material derivatives, Z. angew. Math. Phys. 52 (2001), 6, 1071-1087 [pdf]

[20] V.A. Kovtunenko, Sensitivity of interfacial cracks to non-linear crack front perturbations, Z. angew. Math. Mech. 82 (2002), 6, 387-398 [pdf]

[21] V.A. Kovtunenko, Regular perturbation methods for a region with a crack, J. Appl. Mech. Tech. Phys. 43 (2002), 5, 748-762 [pdf]

[22] V.A. Kovtunenko, Shape sensitivity of a plane crack front, Math. Meth. Appl. Sci. 26 (2003), 5, 359-374 [pdf]

[23] V.A. Kovtunenko, Shape sensitivity of curvilinear cracks on interface to non-linear perturbations, Z. angew. Math. Phys. 54 (2003), 3, 410-423 [pdf]

[24] V.A. Kovtunenko, Invariant energy integrals for the non-linear crack problem with possible contact of the crack surfaces, J. Appl. Maths. Mechs. 67 (2003), 1, 99-110 [pdf]

[25] I.I. Argatov, M. Bach and V.A. Kovtunenko, Propagation of a mode-1 crack under the Irwin and Khristianovich-Barenblatt criteria, Materials Science 39 (2003), 3, 365-370 [pdf]

[26] V.A. Kovtunenko, Quasistatic propagation of cracks, in: Analysis and Simulation of Multifield Problems, W.L. Wendland and M. Efendiev (Eds.), Lecture Notes Appl. Comp. Mech. 12, 227-232, Springer, 2003 [pdf]

[27] V.A. Kovtunenko, Numerical simulation of the non-linear crack problem with non-penetration, Math. Meth. Appl. Sci. 27 (2004), 2, 163-179 [pdf]

[28] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, The primal-dual active set method for a crack problem with non-penetration, IMA J. Appl. Math. 69 (2004), 1-26 [pdf]

[29] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, Semismooth Newton methods for a class of unilaterally constrained variational problems, Adv. Math. Sci. Appl. 14 (2004), 2, 513-535 [pdf]

[30] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, Generalized Newton methods for crack problems with non-penetration condition, Numer. Methods Partial Differential Equations 21 (2005), 3, 586-610 [pdf]

[31] V.A. Kovtunenko, Nonconvex problem for crack with nonpenetration, Z. angew. Math. Mech. 85 (2005), 4, 242-251 [pdf]

[32] V.A. Kovtunenko, Interface cracks in composite orthotropic materials and their delamination via global shape optimization, Optim. Eng. 7 (2006), 173-199 [pdf]

[33] V.A. Kovtunenko, Primal-dual sensitivity analysis of active sets for mixed boundary-value contact problems, J. Engineering Math. 55 (2006), 151-166 [pdf]

[34] V.A. Kovtunenko and I.V. Sukhorukov, Optimization formulation of the evolutionary problem of crack propagation under quasibrittle fracture, J. Appl. Mech. Tech. Phys. 47 (2006), 5, 704-713 [pdf]

[35] V.A. Kovtunenko, Primal-dual methods of shape sensitivity analysis for curvilinear cracks with non-penetration, IMA J. Appl. Math. 71 (2006), 635-657 [pdf]

[36] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, Constrained optimization for interface cracks in composite materials subject to non-penetration conditions, J. Engineering Math. 59 (2007), 3, 301-321 [pdf]

[37] V.A. Kovtunenko and K. Kunisch, Problem of crack perturbation based on level sets and velocities, Z. angew. Math. Mech. 87 (2007), 11-12, 809-830 [pdf]

[38] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, An optimization approach for the delamination of a composite material with non-penetration, in: Free and Moving Boundaries: Analysis, Simulation and Control, R. Glowinski and J.-P. Zolesio (Eds.), Lecture Notes Pure Appl. Math. 252, 331-348, Chapman and Hall/ CRC, Boca Raton, FL, 2007 [pdf]

[39] V.A. Kovtunenko and A.M. Khludnev, Optimization in constrained crack problems, Proc. Appl. Math. Mech. 7 (2007), 1090807-1090808 [pdf]

[40] V.A. Kovtunenko, Problem of crack under quasi-brittle fracture, in: Workshop on Tsunami 2007, 329-340, Keio University COE: Integrative Math. Sci., 2007 [pdf]

[41] V.A. Kovtunenko, A nonlinear evolutionary problem on the crack propagation, in: Differential Equations, Theory of Functions, and Applications (dedicated to the Centennial of I.N. Vekua), 515-516, Novosibirsk State University, 2007 (in Russian) [pdf]

[42] A.M. Khludnev, V.A. Kovtunenko and A. Tani, Evolution of a crack with kink and non-penetration, J. Math. Soc. Japan 60 (2008), 4, 1219-1253 [pdf]

[43] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, A Papkovich-Neuber-based numerical approach to cracks with contact in 3D, IMA J. Appl. Math. 74 (2009), 3, 325-343 [pdf]

[44] V.A. Kovtunenko, K. Kunisch and W. Ring, Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities, Comput. Visual Sci. 12 (2009), 8, 397-408 [pdf]

[45] I.I. Argatov and V.A. Kovtunenko, Generalization of the concept of the topological derivative for a kinking crack, in: Proc. 2009 ICCMME, Melbourne, Australia, 228-233, Australian Inst. High Energetic Materials, 2010 [pdf]

[46] A.M. Khludnev, V.A. Kovtunenko and A. Tani, On the topological derivative due to kink of a crack with non-penetration. Anti-plane model, J. Math. Pures Appl. 94 (2010), 6, 571-596 [PubMed 22163369] [pdf]

[47] I.I. Argatov and V.A. Kovtunenko, A kinking crack: generalization of the concept of the topological derivative, 2009 Ann. Bull. Australian Inst. High Energetic Materials 1 (2010), 124-130 [pdf]

[48] V.A. Kovtunenko, A hemivariational inequality in crack problems, Optimization 60 (2011), 8-9, 1071-1089 [pdf]

[49] H. Itou, V.A. Kovtunenko and A. Tani, The interface crack with Coulomb friction between two bonded dissimilar elastic media, Appl. Math. 56 (2011), 1, 69-97 [pdf]

[50] M. Hintermueller, V.A. Kovtunenko and K. Kunisch, Obstacle problems with cohesion: A hemi-variational inequality approach and its efficient numerical solution, SIAM J. Optim. 21 (2011), 2, 491-516 [pdf]

[51] M. Hintermueller and V.A. Kovtunenko, From shape variation to topology changes in constrained minimization: a velocity method based concept, Optim. Methods Softw. 26 (2011), 4-5, 513-532 [pdf]

[52] V.A. Kovtunenko, State-constrained optimization for identification of small inclusions, Proc. Appl. Math. Mech. 11 (2011), 1, 721-722 [pdf]

[53] V.A. Kovtunenko and K. Kunisch, High precision identification of an object: optimality conditions based concept of imaging, SIAM J. Control Optim. 52 (2014), 1, 773-796 [pdf]

[54] B.D. Annin, V.A. Kovtunenko and V.M. Sadovskii, Variational and hemivariational inequalities in mechanics of elastoplastic, granular media, and quasibrittle cracks, in: Analysis, Modelling, Optimization, and Numerical Techniques, G.O. Tost, O. Vasilieva (Eds.), Springer Proc. Math. Stat. 121 (2015), 49-56 [pdf]

[55] V.A. Kovtunenko, Electro-kinetic structure model with interfacial reactions, Proc. 7th ECCOMAS Thematic Conference on Smart Structures and Materials SMART 2015, A.L. Araujo, C.A. Mota Soares, F.M. Duarte, C.M. Mota Soares, A. Suleman (Eds.), IDMEC, Lissabon, 2015 [pdf]

[56] K. Fellner and V.A. Kovtunenko, A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptotic expansions, Math. Meth. Appl. Sci. 38 (2015), 16, 3575-3586 [pdf]

[57] V.A. Kovtunenko and G. Leugering, A shape-topological control problem for nonlinear crack - defect interaction: the anti-plane variational model, SIAM J.Control Optim. 54 (2016), 3, 1329-1351 [pdf]

[58] V.A. Kovtunenko and G. Leugering, A shape-topological control of variational inequalities, Eurasian Math. J. 7 (2016), 3, 41-52 [pdf]

[59] K. Fellner and V.A. Kovtunenko, A discontinuous Poisson-Boltzmann equation with interfacial transfer: homogenisation and residual error estimate, Appl. Anal. 95 (2016), 12, 2661-2682 [pdf]

[60] V.A. Kovtunenko, Two-parameter topological expansion of Helmholtz problems with inhomogeneity, in: Mathematical Analysis of Continuum Mechanics and Industrial Applications (CoMFoS15), H. Itou, M. Kimura, V. Chalupecky, K. Ohtsuka, D. Tagami, A. Takada (Eds.), Mathematics for Industry 26, 51-81, Springer, Singapore, 2017 [pdf]

[61] V.A. Kovtunenko and A.V. Zubkova, On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability, Math. Meth. Appl. Sci. 40 (2017), 6, 2284-2299 [pdf]

[62] V.A. Kovtunenko and A.V. Zubkova, Solvability and Lyapunov stability of a two-component system of generalized Poisson-Nernst-Planck equations, in: Recent Trends in Operator Theory and Partial Differential Equations (The Roland Duduchava Anniversary Volume), V. Maz'ya, D. Natroshvili, E. Shargorodsky, W.L. Wendland (Eds.), Operator Theory: Advances and Applications 258, 173-191, Birkhaeuser, Basel, 2017 [pdf]

[63] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, Nonlinear elasticity with limiting small strain for cracks subject to non-penetration, Math. Mech. Solids 22 (2017), 6, 1334-1346 [pdf]

[64] V.A. Kovtunenko, High-order topological expansions for Helmholtz problems in 2d, in: Topological Optimization and Optimal Transport, M. Bergounioux, E. Oudet, M. Rumpf, G. Carlier, T. Champion, F. Santambrogio (Eds.), Radon Ser. Comput. Appl. Math. 17, 64-122, De Gruyter, Berlin, 2017 [pdf]

[65] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, Contacting crack faces within the context of bodies exhibiting limiting strains, JSIAM Letters 9 (2017), 61-64 [pdf]

[66] V.A. Kovtunenko, P. Krejci, E. Bauer, L. Sivakova and A.V. Zubkova, On Lyapunov stability in hypoplasticity, Proc. Equadiff 2017 Conference, K. Mikula, D. Sevcovic, J. Urban (Eds.), 107-116, Slovak University of Technology, Bratislava, 2017 [pdf]

[67] V.A. Kovtunenko and A.V. Zubkova, Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium, Kinet. Relat. Mod. 11 (2018), 1, 119-135 [pdf]

[68] F. Cakoni and V.A. Kovtunenko, Topological optimality condition for the identification of the center of an inhomogeneity, Inverse Probl. 34 (2018), 3, 035009 [pdf]

[69] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body, Math. Mech. Solids 23 (2018), 3, 433-444 [pdf]

[70] V.A. Kovtunenko and K. Kunisch, Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem, Calcolo 55 (2018), 38 [pdf]

[71] V.A. Kovtunenko and K. Ohtsuka, Shape differentiability of Lagrangians and application to Stokes problem, SIAM J. Control Optim. 56 (2018), 5, 3668-3684 [pdf]

[72] J.R. Gonzalez Granada, J. Gwinner and V.A. Kovtunenko, On the shape differentiability of objectives: a Lagrangian approach and the Brinkman problem, Axioms 7 (2018), 4, 76 [pdf]

[73] J.R. Gonzalez Granada and V.A. Kovtunenko, Entropy method for generalized Poisson-Nernst-Planck equations, Anal. Math. Phys. 8 (2018), 4, 603-619 [pdf]

[74] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress, Int. J. Eng. Sci. 136 (2019), 17-25 [pdf]

[75] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, Crack problem within the context of implicitly constituted quasi-linear viscoelasticity, Math. Mod. Meth. Appl. Sci. 29 (2019), 2, 355-372 [pdf]

[76] V.A. Kovtunenko, Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution, Vibroengineering PROCEDIA 22 (2019), 31-35 [pdf]

[77] E. Bauer, V.A. Kovtunenko, P. Krejci, N. Krenn, L. Sivakova and A.V. Zubkova, Modified model for proportional loading and unloading of hypoplastic materials, in: Extended Abstracts Spring 2018. Singularly Perturbed Systems, Multiscale Phenomena and Hysteresis: Theory and Applications, A. Korobeinikov, M. Caubergh, T. Lazaro, J. Sardanyes (Eds.), Trends in Mathematics 11, 201-210, Birkhaeuser, Ham, 2019 [pdf]

[78] V.A. Kovtunenko and A.V. Zubkova, Homogenization of the generalized Poisson-Nernst–Planck problem in two-phase medium: The corrector due to nonlinear interface condition, in: Modern Treatment of Symmetries, Differential Equations and Applications (Symmetry 2019), S. Moyo, S.V. Meleshko and E. Schulz (Eds.), AIP Conf. Proc. 2153, 020010, AIP Publishing, College Park, MD, 2019 [pdf]

[79] V.A. Kovtunenko, P. Krejci, N. Krenn, E. Bauer, L. Sivkova and A.V. Zubkova, On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials, Mathematical Models in Engineering 5 (2019), 4, 119-126 [pdf]

[80] V.A. Kovtunenko, S. Reichelt and A.V. Zubkova, Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains, Math. Meth. Appl. Sci. 43 (2020), 4, 1838-1856 [pdf]

[81] D. Ghilli, K. Kunisch and V.A. Kovtunenko, Inverse problem of breaking line identification by shape optimization, J. Inv. Ill-Posed Problems 28 (2020), 1, 119-135 [pdf]

[82] E. Bauer, V.A. Kovtunenko, P. Krejci, N. Krenn, L. Sivakova and A.V. Zubkova, On proportional deformation paths in hypoplasticity, Acta Mechanica 231 (2020), 4, 1603-1619 [pdf]

[83] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity, Int. J. Eng. Sci. 151 (2020), 103272 [pdf]

[84] V.A. Kovtunenko and A.V. Zubkova, Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates, Appl. Anal. 100 (2021), 2, 253-274 [pdf]

[85] V.A. Kovtunenko and K. Ohtsuka, Shape differentiability of Lagrangians and application to overdetermined problems, in: Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Proceedings of the International Conference CoMFoS18, H. Itou, S. Hirano, M. Kimura, V.A. Kovtunenko, A.M. Khludnev (Eds.), Mathematics for Industry 34, 97-110, Springer, Singapore, 2020[pdf]

[86] A.I. Furtsev, H. Itou, V.A. Kovtunenko, E.M. Rudoy and A. Tani, On unilateral contact problems with friction for an elastic body with cracks, in: Analysis of Inverse Problems Through Partial Differential Equations, K. Tanuma (Ed.), RIMS Kokyuroku 2174, Kyoto University, 2021 [pdf]

[87] V.A. Kovtunenko and L. Karpenko-Jereb, Study of voltage cycling conditions on Pt oxidation and dissolution in polymer electrolyte fuel cells, J. Power Sources 493 (2021), 229693 [pdf]

[88] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, On an implicit model linear in both stress and strain to describe the response of porous solids, J. Elasticity 144 (2021), 1, 107-118 [pdf]

[89] J.R. Gonzalez Granada and V.A. Kovtunenko, A shape derivative for optimal control of the nonlinear Brinkman-Forchheimer equation, J. Appl. Numer. Optim. 3 (2021), 2, 243-261 [pdf]

[90] H. Itou, V.A. Kovtunenko and K.R. Rajagopal, Crack problem within the context of implicitly constituted quasi-linear viscoelasticity, Math. Mod. Meth. Appl. Sci. 31 (2021), 3, 649-674 [pdf]

[91] V.A. Kovtunenko and A.V. Zubkova, Existence and two-scale convergence of the generalised Poisson-Nernst-Planck problem with non-linear interface conditions, Eur. J. Appl. Math. 32 (2021), 4, 683-710 [pdf]

[92] H. Itou, V.A. Kovtunenko and E.M. Rudoy, Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies, Appl. Eng. Sci. 7 (2021), 100060 [pdf]

[93] V.A. Kovtunenko and K. Ohtsuka, Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian, J. Inv. Ill-Posed Problems 29 (2021) [pdf]