All Stories

  1. Solution of nonlinear variational problems for generalized fractional viscoelastic models

    Article • International Journal of Engineering Science, June 2026, Elsevier

    Victor Kovtunenko

  2. NON-UNIQUE SOLUTION WITH DISCONTINUOUS VELOCITY FOR COLLISION OF ELASTIC BAR WITH HIGH INITIAL SPEED BY ST-PDAS RESTORING ENERGY

    Article • Journal of Mathematical Sciences, March 2026, Springer Science + Business Media

    Victor Kovtunenko

  3. Contact problem for a cracked Timoshenko plate with a wedge-shaped obstacle

    Article • Journal of Computational and Applied Mathematics, February 2026, Elsevier

    Victor Kovtunenko

  4. Non-convex sweeping processes in contact mechanics

    Article • Nonlinear Analysis Real World Applications, February 2026, Elsevier

    Victor Kovtunenko

  5. Collision of an Obstacle by an Elastic Bar in a Gravity Field: Solution with Discontinuous Velocity and Space-Time Primal-Dual Active Set Algorithm

    Article • Algorithms, January 2026, MDPI AG

    Victor Kovtunenko

  6. Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

    Article • Mathematical Methods in the Applied Sciences, December 2025, Wiley

    Victor Kovtunenko

  7. Poroelastic Medium with Non-Penetrating Crack Driven by Hydraulic Fracture: FEM Approximation Using HHT-α and Semi-Smooth Newton Methods

    Article • Algorithms, September 2025, MDPI AG

    Victor Kovtunenko

  8. Space-Time Primal-Dual Active Set Method: Benchmark for Collision of Elastic Bar with Discontinuous Velocity

    Article • Computation, September 2025, MDPI AG

    Victor Kovtunenko

  9. Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack

    Article • Mathematics and Mechanics of Solids, July 2025, SAGE Publications

    Victor Kovtunenko

  10. Nonlinear model of a porous body with fluid-driven fracture under cohesion contact conditions and fluid volume control

    Article • Mathematical Models and Methods in Applied Sciences, July 2025, World Scientific Pub Co Pte Lt

    Victor Kovtunenko

  11. FEM approximation of dynamic contact problem for fracture under fluid volume control using generalized HHT- and semi-smooth Newton methods

    Article • Applied Numerical Mathematics, July 2025, Elsevier

    Victor Kovtunenko

  12. Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalystin PEMFC

    Article • Technologies, June 2025, MDPI AG

    Victor Kovtunenko

  13. Solution of viscoelastic creep models for anisotropic materials with linear relation between strain and stress but nonlinear with respect to time

    Article • Applications in Engineering Science, June 2025, Elsevier

    Victor Kovtunenko

  14. Convergence analysis of semi-smooth Newton method for mixed FEM approximations of dynamic two-body contact and crack problems

    Article • Journal of Computational and Applied Mathematics, May 2025, Elsevier

    Victor Kovtunenko

  15. MODELING THE RAILWAY TRACK BALLAST BEHAVIOR WITH HYPOPLASTICITY

    Article • Journal of Mathematical Sciences, February 2025, Springer Science + Business Media

    Victor Kovtunenko

  16. Particle Size Distribution in Holby–Morgan Degradation Model of Platinum on Carbon Catalyst in Fuel Cell: Normal Distribution

    Article • Technologies, October 2024, MDPI AG

    Victor Kovtunenko

  17. Non-smooth variational problems and applications in mechanics

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, July 2024, Royal Society Publishing

    Victor Kovtunenko

  18. Forward and inverse problems for creep models in viscoelasticity

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, July 2024, Royal Society Publishing

    Victor Kovtunenko

  19. Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, July 2024, Royal Society Publishing

    Victor Kovtunenko

  20. IDENTIFICATION OF POSITIONS OF SEPARATED RIGID INCLUSIONS BY BOUNDARY MEASUREMENTS FOR A SIGNORINI PROBLEM

    Article • Eurasian Journal of Mathematical and Computer Applications, June 2024, L. N. Gumilyov Eurasian National University

    Victor Kovtunenko

  21. HYSTERESIS OF IMPLICIT EQUATIONS IN HYPOPLASTICITY FOR SOIL MATERIALS WITH GRANULAR HARDNESS DEGRADATION

    Article • Journal of Mathematical Sciences, May 2024, Springer Science + Business Media

    Victor Kovtunenko

  22. Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly

    Article • Zeitschrift für angewandte Mathematik und Physik, January 2024, Springer Science + Business Media

    Victor Kovtunenko

  23. The Holby–Morgan Model of Platinum Catalyst Degradation in PEM Fuel Cells: Range of Feasible Parameters Achieved Using Voltage Cycling

    Article • Technologies, December 2023, MDPI AG

    Victor Kovtunenko

  24. Feasible domain of cycling operating conditions and model parameters for Holby–Morgan model of platinum catalyst degradation in PEMFC

    Article • International Journal of Hydrogen Energy, November 2023, Elsevier

    Victor Kovtunenko

  25. ASYMPTOTIC ANALYSIS OF THE PROBLEM OF EQUILIBRIUM OF AN INHOMOGENEOUS BODY WITH HINGED RIGID INCLUSIONS OF VARIOUS WIDTHS

    Article • Journal of Applied Mechanics and Technical Physics, October 2023, Pleiades Publishing Ltd

    Victor Kovtunenko

  26. Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion

    Article • Inverse Problems, June 2023, Institute of Physics Publishing

    Victor Kovtunenko

  27. A generalization of the Kelvin–Voigt model with pressure‐dependent moduli in which both stress and strain appear linearly

    Article • Mathematical Methods in the Applied Sciences, May 2023, Wiley

    Victor Kovtunenko

  28. Stress-controlled ratchetting in hypoplasticity: a study of periodically proportional loading cycles

    Article • Acta Mechanica, May 2023, Springer Science + Business Media

    Victor Kovtunenko

  29. Poroelastic problem of a non-penetrating crack with cohesive contact for fluid-driven fracture

    Article • Applications in Engineering Science, May 2023, Elsevier

    Victor Kovtunenko

  30. Modeling of the impact of cycling operating conditions on durability of polymer electrolyte fuel cells and its sensitivity analysis

    Article • International Journal of Hydrogen Energy, January 2023, Elsevier

    Victor Kovtunenko

  31. Directional differentiability for shape optimization with variational inequalities as constraints

    Article • ESAIM Control Optimisation and Calculus of Variations, January 2023, EDP Sciences

    Victor Kovtunenko

  32. Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity

    Article • Archivum Mathematicum, January 2023, Masaryk University Press

    Victor Kovtunenko

  33. Variance-Based Sensitivity Analysis of Fitting Parameters to Impact on Cycling Durability of Polymer Electrolyte Fuel Cells

    Article • Technologies, October 2022, MDPI AG

    Victor Kovtunenko

  34. Non-smooth variational problems and applications

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, September 2022, Royal Society Publishing

    Victor Kovtunenko

  35. Quasi-variational inequality for the nonlinear indentation problem: a power-law hardening model

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, September 2022, Royal Society Publishing

    Victor Kovtunenko

  36. Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks

    Article • Mathematical Models and Methods in Applied Sciences, June 2022, World Scientific Pub Co Pte Lt

    Victor Kovtunenko

  37. Asymptotic series solution for plane poroelastic model with non-penetrating crack driven by hydraulic fracture

    Article • Applications in Engineering Science, June 2022, Elsevier

    Victor Kovtunenko

  38. Shape Derivative for Penalty-Constrained Nonsmooth–Nonconvex Optimization: Cohesive Crack Problem

    Article • Journal of Optimization Theory and Applications, May 2022, Springer Science + Business Media

    Victor Kovtunenko

  39. The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture

    Article • Mathematics and Mechanics of Solids, April 2022, SAGE Publications

    Victor Kovtunenko

  40. Signorini-Type Problems over Non-Convex Sets for Composite Bodies Contacting by Sharp Edges of Rigid Inclusions

    Article • Mathematics, January 2022, MDPI AG

    Victor Kovtunenko

  41. Asymptotic series solution of variational big letter problems in planar domain with crack-like singularity

    Article • Applied Mathematics in Science and Engineering, January 2022, Taylor & Francis

    Victor Kovtunenko

  42. Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization

    Article • Journal of Computational and Applied Mathematics, December 2021, Elsevier

    Victor Kovtunenko

  43. Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

    Article • Journal of Siberian Federal University Mathematics & Physics, December 2021, Siberian Federal University

    Victor Kovtunenko

  44. Lifetime of Catalyst under Voltage Cycling in Polymer Electrolyte Fuel Cell Due to Platinum Oxidation and Dissolution

    Article • Technologies, October 2021, MDPI AG

    Victor Kovtunenko

  45. Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies

    Article • Applications in Engineering Science, September 2021, Elsevier

    Victor Kovtunenko

  46. Study of voltage cycling conditions on Pt oxidation and dissolution in polymer electrolyte fuel cells

    Article • Journal of Power Sources, May 2021, Elsevier

    Victor Kovtunenko

  47. On an Implicit Model Linear in Both Stress and Strain to Describe the Response of Porous Solids

    Article • Journal of Elasticity, April 2021, Springer Science + Business Media

    Victor Kovtunenko

  48. Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response

    Article • Mathematical Models and Methods in Applied Sciences, February 2021, World Scientific Pub Co Pte Lt

    Victor Kovtunenko

  49. A shape derivative for optimal control of the nonlinear Brinkman-Forchheimer equation

    Article • Journal of Applied and Numerical Optimization, January 2021, Mathematical Research Press

    Victor Kovtunenko

  50. Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian

    Article • Journal of Inverse and Ill-Posed Problems, December 2020, De Gruyter

    Victor Kovtunenko

  51. Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions

    Article • European Journal of Applied Mathematics, August 2020, Cambridge University Press

    Victor Kovtunenko

  52. The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity

    Article • International Journal of Engineering Science, June 2020, Elsevier

    Victor Kovtunenko

  53. Inverse problem of breaking line identification by shape optimization

    Article • Journal of Inverse and Ill-Posed Problems, February 2020, De Gruyter

    Victor Kovtunenko

  54. On proportional deformation paths in hypoplasticity

    Article • Acta Mechanica, January 2020, Springer Science + Business Media

    Victor Kovtunenko

  55. Mathematical Analysis of Continuum Mechanics and Industrial Applications III

    Article • January 2020, Springer Science + Business Media

    Victor Kovtunenko

  56. Shape Differentiability of Lagrangians and Application to Overdetermined Problems

    Article • January 2020, Springer Science + Business Media

    Victor Kovtunenko

  57. On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

    Article • Mathematical Models in Engineering, December 2019, JVE International Ltd.

    Victor Kovtunenko

  58. Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains

    Article • Mathematical Methods in the Applied Sciences, November 2019, Wiley

    Victor Kovtunenko

  59. Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates

    Article • Applicable Analysis, April 2019, Taylor & Francis

    Victor Kovtunenko, Anna Zubkova

  60. Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution

    Article • Vibroengineering PROCEDIA, March 2019, JVE International Ltd.

    Victor Kovtunenko

  61. Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress

    Article • International Journal of Engineering Science, March 2019, Elsevier

    Victor Kovtunenko

  62. Crack problem within the context of implicitly constituted quasi-linear viscoelasticity

    Article • Mathematical Models and Methods in Applied Sciences, February 2019, World Scientific Pub Co Pte Lt

    Victor Kovtunenko

  63. Homogenization of the generalized Poisson–Nernst–Planck problem in two-phase medium: The corrector due to nonlinear interface condition

    Article • January 2019, American Institute of Physics

    Victor Kovtunenko, Anna Zubkova

  64. Modified Model for Proportional Loading and Unloading of Hypoplastic Materials

    Article • January 2019, Springer Science + Business Media

    Victor Kovtunenko

  65. Entropy method for generalized Poisson–Nernst–Planck equations

    Article • Analysis and Mathematical Physics, November 2018, Springer Science + Business Media

    Victor Kovtunenko

  66. On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem

    Article • Axioms, October 2018, MDPI AG

    Victor Kovtunenko

  67. Revisiting generalized FEM: a Petrov–Galerkin enrichment based FEM interpolation for Helmholtz problem

    Article • CALCOLO, August 2018, Springer Science + Business Media

    Victor Kovtunenko

  68. Topological optimality condition for the identification of the center of an inhomogeneity

    Article • Inverse Problems, February 2018, Institute of Physics Publishing

    Victor Kovtunenko

  69. Shape Differentiability of Lagrangians and Application to Stokes Problem

    Article • SIAM Journal on Control and Optimization, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Victor Kovtunenko

  70. Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium

    Article • Kinetic and Related Models, August 2017, American Institute of Mathematical Sciences (AIMS)

    Victor Kovtunenko

  71. On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body

    Article • Mathematics and Mechanics of Solids, May 2017, SAGE Publications

    Victor Kovtunenko

  72. 4. High-order topological expansions for Helmholtz problems in 2D

    Article • January 2017, De Gruyter

    Victor Kovtunenko

  73. Solvability and Lyapunov Stability of a Two-component System of Generalized Poisson–Nernst–Planck Equations

    Article • January 2017, Springer Science + Business Media

    Victor Kovtunenko

  74. Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity

    Article • November 2016, Springer Science + Business Media

    Victor Kovtunenko

  75. Nonlinear elasticity with limiting small strain for cracks subject to non-penetration

    Article • Mathematics and Mechanics of Solids, March 2016, SAGE Publications

    Victor Kovtunenko

  76. On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability

    Article • Mathematical Methods in the Applied Sciences, January 2016, Wiley

    Anna Zubkova, Victor Kovtunenko

  77. A Shape-Topological Control Problem for Nonlinear Crack-Defect Interaction: The Antiplane Variational Model

    Article • SIAM Journal on Control and Optimization, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Victor Kovtunenko

  78. A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate

    Article • Applicable Analysis, November 2015, Taylor & Francis

    Victor Kovtunenko

  79. A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptotic expansions

    Article • Mathematical Methods in the Applied Sciences, August 2015, Wiley

    Victor Kovtunenko

  80. Contacting crack faces within the context of bodies exhibiting limiting strains

    Article • JSIAM Letters, January 2015, The Japan Society for Industrial and Applied Mathematics

    Victor Kovtunenko

  81. Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks

    Article • January 2015, Springer Science + Business Media

    Victor Kovtunenko, Professor Vladimir M. Sadovskii

  82. High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging

    Article • SIAM Journal on Control and Optimization, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Victor Kovtunenko

  83. State-constrained optimization for identification of small inclusions

    Article • PAMM, December 2011, Wiley

    Victor Kovtunenko

  84. From shape variation to topological changes in constrained minimization: a velocity method-based concept

    Article • Optimization Methods and Software, October 2011, Taylor & Francis

    Victor Kovtunenko

  85. A hemivariational inequality in crack problems

    Article • Optimization, August 2011, Taylor & Francis

    Victor Kovtunenko

  86. Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution

    Article • SIAM Journal on Optimization, April 2011, Society for Industrial & Applied Mathematics (SIAM)

    Victor Kovtunenko

  87. The interface crack with Coulomb friction between two bonded dissimilar elastic media

    Article • Applications of Mathematics, February 2011, Institute of Mathematics, Czech Academy of Sciences

    Victor Kovtunenko

  88. On the topological derivative due to kink of a crack with non-penetration. Anti-plane model

    Article • Journal de Mathématiques Pures et Appliquées, December 2010, Elsevier

    Victor Kovtunenko

  89. A Papkovich-Neuber-based numerical approach to cracks with contact in 3D

    Article • IMA Journal of Applied Mathematics, April 2009, Oxford University Press (OUP)

    Victor Kovtunenko

  90. Evolution of a crack with kink and non-penetration

    Article • Journal of the Mathematical Society of Japan, October 2008, Mathematical Society of Japan (Project Euclid)

    Victor Kovtunenko

  91. Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities

    Article • Computing and Visualization in Science, July 2008, Springer Science + Business Media

    Victor Kovtunenko

  92. Problem of crack perturbation based on level sets and velocities

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, December 2007, Wiley

    Victor Kovtunenko

  93. Optimization in constrained crack problems

    Article • PAMM, December 2007, Wiley

    Victor Kovtunenko

  94. Constrained optimization for interface cracks in composite materials subject to non-penetration conditions

    Article • Journal of Engineering Mathematics, November 2006, Springer Science + Business Media

    Victor Kovtunenko

  95. Primal–dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration

    Article • IMA Journal of Applied Mathematics, October 2006, Oxford University Press (OUP)

    Victor Kovtunenko

  96. Optimization formulation of the evolutionary problem of crack propagation under quasibrittle fracture

    Article • Journal of Applied Mechanics and Technical Physics, September 2006, Springer Science + Business Media

    Victor Kovtunenko

  97. Interface cracks in composite orthotropic materials and their delamination via global shape optimization

    Article • Optimization and Engineering, June 2006, Springer Science + Business Media

    Victor Kovtunenko

  98. Primal-dual sensitivity analysis of active sets for mixed boundary-value contact problems

    Article • Journal of Engineering Mathematics, January 2006, Springer Science + Business Media

    Victor Kovtunenko

  99. Nonconvex problem for crack with nonpenetration

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, April 2005, Wiley

    Victor Kovtunenko

  100. Generalized Newton methods for crack problems with nonpenetration condition

    Article • Numerical Methods for Partial Differential Equations, October 2004, Wiley

    Victor Kovtunenko

  101. The primal-dual active set method for a crack problem with non-penetration

    Article • IMA Journal of Applied Mathematics, February 2004, Oxford University Press (OUP)

    Victor Kovtunenko

  102. Numerical simulation of the non-linear crack problem with non-penetration

    Article • Mathematical Methods in the Applied Sciences, December 2003, Wiley

    Victor Kovtunenko

  103. Propagation of a Mode-I Crack under the Irwin and Khristianovich–Barenblatt Criteria

    Article • Materials Science, May 2003, Springer Science + Business Media

    Victor Kovtunenko

  104. Shape sensitivity of curvilinear cracks on interface to non-linear perturbations

    Article • Zeitschrift für angewandte Mathematik und Physik, May 2003, Springer Science + Business Media

    Victor Kovtunenko

  105. Quasistatic Propagation of Cracks

    Article • January 2003, Springer Science + Business Media

    Victor Kovtunenko

  106. Shape sensitivity of a plane crack front

    Article • Mathematical Methods in the Applied Sciences, January 2003, Wiley

    Victor Kovtunenko

  107. Invariant energy integrals for the non-linear crack problem with possible contact of the crack surfaces

    Article • Journal of Applied Mathematics and Mechanics, January 2003, Elsevier

    Victor Kovtunenko

  108. Sensitivity of Interfacial Cracks to Non-linear Crack Front Perturbations

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, June 2002, Wiley

    Victor Kovtunenko

  109. Article • Journal of Applied Mechanics and Technical Physics, January 2002, Springer Science + Business Media

    Victor Kovtunenko

  110. Sensitivity of cracks in 2D-Lamé problem via material derivatives

    Article • Zeitschrift für angewandte Mathematik und Physik, November 2001, Springer Science + Business Media

    Victor Kovtunenko

  111. Crack in a solid under Coulomb friction law

    Article • Applications of Mathematics, August 2000, Institute of Mathematics, Czech Academy of Sciences

    Victor Kovtunenko

  112. Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions

    Article • Mathematical Methods in the Applied Sciences, April 2000, Wiley

    Victor Kovtunenko

  113. Solution of the problem of optimal cut in an elastic beam

    Article • Journal of Applied Mechanics and Technical Physics, September 1999, Springer Science + Business Media

    Victor Kovtunenko

  114. Variational and boundary value problems in the presence of friction on the inner boundary

    Article • Siberian Mathematical Journal, October 1998, Springer Science + Business Media

    Victor Kovtunenko

  115. Equilibrium problem of a plate with an oblique cut

    Article • Journal of Applied Mechanics and Technical Physics, March 1998, Springer Science + Business Media

    Victor Kovtunenko

  116. Iterative approximations of penalty operators

    Article • Numerical Functional Analysis and Optimization, January 1997, Taylor & Francis

    Victor Kovtunenko

  117. Solution of the problem of a beam with a cut

    Article • Journal of Applied Mechanics and Technical Physics, July 1996, Springer Science + Business Media

    Victor Kovtunenko

  118. An iterative penalty method for a problem with constraints on the inner boundary

    Article • Siberian Mathematical Journal, May 1996, Springer Science + Business Media

    Victor Kovtunenko

  119. Numerical method of solving the problem of the contact of an elastic plate with an obstacle

    Article • Journal of Applied Mechanics and Technical Physics, September 1994, Springer Science + Business Media

    Victor Kovtunenko

  120. An iterative penalty method for variational inequalities with strongly monotone operators

    Article • Siberian Mathematical Journal, July 1994, Springer Science + Business Media

    Victor Kovtunenko