Victor Kovtunenko
Karl-Franzens-Universitat Graz
My co-authors include
Professor Vladimir M. Sadovskii
Anna Zubkova
My Publications
Inverse problem of shape identification from boundary measurement for Stokes equations:...
Journal of Inverse and Ill-Posed Problems
December 2020
Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem wi...
European Journal of Applied Mathematics
August 2020
The Boussinesq flat-punch indentation problem within the context of linearized viscoela...
International Journal of Engineering Science
June 2020
Inverse problem of breaking line identification by shape optimization
Journal of Inverse and Ill-Posed Problems
February 2020
On proportional deformation paths in hypoplasticity
Acta Mechanica
January 2020
Mathematical Analysis of Continuum Mechanics and Industrial Applications III
January 2020
Shape Differentiability of Lagrangians and Application to Overdetermined Problems
January 2020
On feasibility of rate-independent stress paths under proportional deformations within ...
Mathematical Models in Engineering
December 2019
Corrector estimates in homogenization of a nonlinear transmission problem for diffusion...
Mathematical Methods in the Applied Sciences
November 2019
Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: ...
Applicable Analysis
April 2019
Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high...
Vibroengineering PROCEDIA
March 2019
Well-posedness of the problem of non-penetrating cracks in elastic bodies whose materia...
International Journal of Engineering Science
March 2019
Crack problem within the context of implicitly constituted quasi-linear viscoelasticity
Mathematical Models and Methods in Applied Sciences
February 2019
Homogenization of the generalized Poisson–Nernst–Planck problem in two-phase medium: Th...
January 2019
Modified Model for Proportional Loading and Unloading of Hypoplastic Materials
January 2019
Entropy method for generalized Poisson–Nernst–Planck equations
Analysis and Mathematical Physics
November 2018
On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Pr...
Axioms
October 2018
Revisiting generalized FEM: a Petrov–Galerkin enrichment based FEM interpolation for He...
CALCOLO
August 2018
Topological optimality condition for the identification of the center of an inhomogeneity
Inverse Problems
February 2018
Shape Differentiability of Lagrangians and Application to Stokes Problem
SIAM Journal on Control and Optimization
January 2018
Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Pl...
Kinetic and Related Models
August 2017
On the states of stress and strain adjacent to a crack in a strain-limiting viscoelasti...
Mathematics and Mechanics of Solids
May 2017
4. High-order topological expansions for Helmholtz problems in 2D
January 2017
Solvability and Lyapunov Stability of a Two-component System of Generalized Poisson–Ner...
January 2017
Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity
November 2016
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration
Mathematics and Mechanics of Solids
March 2016
On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: ...
Mathematical Methods in the Applied Sciences
January 2016
A Shape-Topological Control Problem for Nonlinear Crack-Defect Interaction: The Antipla...
SIAM Journal on Control and Optimization
January 2016
A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and re...
Applicable Analysis
November 2015
A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptot...
Mathematical Methods in the Applied Sciences
August 2015
Contacting crack faces within the context of bodies exhibiting limiting strains
JSIAM Letters
January 2015
Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Me...
January 2015
High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging
SIAM Journal on Control and Optimization
January 2014
State-constrained optimization for identification of small inclusions
PAMM
December 2011
From shape variation to topological changes in constrained minimization: a velocity met...
Optimization Methods and Software
October 2011
A hemivariational inequality in crack problems
Optimization
August 2011
Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficien...
SIAM Journal on Optimization
April 2011
The interface crack with Coulomb friction between two bonded dissimilar elastic media
Applications of Mathematics
February 2011
On the topological derivative due to kink of a crack with non-penetration. Anti-plane m...
Journal de Mathématiques Pures et Appliquées
December 2010
A Papkovich-Neuber-based numerical approach to cracks with contact in 3D
IMA Journal of Applied Mathematics
April 2009
Evolution of a crack with kink and non-penetration
Journal of the Mathematical Society of Japan
October 2008
Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velo...
Computing and Visualization in Science
July 2008
Problem of crack perturbation based on level sets and velocities
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
December 2007
Optimization in constrained crack problems
PAMM
December 2007
Constrained optimization for interface cracks in composite materials subject to non-pen...
Journal of Engineering Mathematics
November 2006
Primal–dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetr...
IMA Journal of Applied Mathematics
October 2006
Optimization formulation of the evolutionary problem of crack propagation under quasibr...
Journal of Applied Mechanics and Technical Physics
September 2006
Interface cracks in composite orthotropic materials and their delamination via global s...
Optimization and Engineering
June 2006
Primal-dual sensitivity analysis of active sets for mixed boundary-value contact problems
Journal of Engineering Mathematics
January 2006
Nonconvex problem for crack with nonpenetration
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
April 2005
Generalized Newton methods for crack problems with nonpenetration condition
Numerical Methods for Partial Differential Equations
October 2004
The primal-dual active set method for a crack problem with non-penetration
IMA Journal of Applied Mathematics
February 2004
Numerical simulation of the non-linear crack problem with non-penetration
Mathematical Methods in the Applied Sciences
December 2003
Propagation of a Mode-I Crack under the Irwin and Khristianovich–Barenblatt Criteria
Materials Science
May 2003
Shape sensitivity of curvilinear cracks on interface to non-linear perturbations
Zeitschrift für angewandte Mathematik und Physik
May 2003
Quasistatic Propagation of Cracks
January 2003
Shape sensitivity of a plane crack front
Mathematical Methods in the Applied Sciences
January 2003
Invariant energy integrals for the non-linear crack problem with possible contact of th...
Journal of Applied Mathematics and Mechanics
January 2003
Journal of Applied Mechanics and Technical Physics
January 2002
Sensitivity of cracks in 2D-Lamé problem via material derivatives
Zeitschrift für angewandte Mathematik und Physik
November 2001
Crack in a solid under Coulomb friction law
Applications of Mathematics
August 2000
Derivatives of the energy functional for 2D-problems with a crack under Signorini and f...
Mathematical Methods in the Applied Sciences
April 2000
Solution of the problem of optimal cut in an elastic beam
Journal of Applied Mechanics and Technical Physics
September 1999
Variational and boundary value problems in the presence of friction on the inner boundary
Siberian Mathematical Journal
October 1998
Equilibrium problem of a plate with an oblique cut
Journal of Applied Mechanics and Technical Physics
March 1998
Iterative approximations of penalty operators
Numerical Functional Analysis and Optimization
January 1997
Solution of the problem of a beam with a cut
Journal of Applied Mechanics and Technical Physics
July 1996
An iterative penalty method for a problem with constraints on the inner boundary
Siberian Mathematical Journal
May 1996
Numerical method of solving the problem of the contact of an elastic plate with an obst...
Journal of Applied Mechanics and Technical Physics
September 1994
An iterative penalty method for variational inequalities with strongly monotone operators
Siberian Mathematical Journal
July 1994