Edit Profile (opens in new tab) Kovtunenko, Viktor Anatolievich Co-Author Distance Author ID: kovtunenko.viktor-anatolievich Published as: Kovtunenko, Victor A.; Kovtunenko, V. A.; Kovtunenko, Victor; Kovtunenko, V.; Kovtunenko, Viktor Anatolievich more...less Documents Indexed: 86 Publications since 1991, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 32 Co-Authors with 57 Joint Publications 996 Co-Co-Authors all top 5 Co-Authors 30 single-authored 14 Kunisch, Karl 12 Itou, Hiromichi 11 Rajagopal, Kumbakonam Ramamani 8 Hintermüller, Michael 8 Zubkova, Anna V. 5 Khludnev, Aleksandr Mikhaĭlovich 5 Krejčí, Pavel 4 Bauer, Erich 3 Monteiro, Giselle Antunes 3 Ohtsuka, Kohji 3 Siváková, Lenka 3 Tani, Atusi 2 Eliaš, Ján 2 Fellner, Klemens 2 González Granada, José Rodrigo 2 Krenn, Nepomuk 2 Leugering, Günter 2 Runcziková, Judita 1 Annin, Boris Dmitrievich 1 Bach, Michael 1 Cakoni, Fioralba 1 Ghilli, Daria 1 Gwinner, Joachim 1 Hirano, Shiro 1 Karpenko-Jereb, L. 1 Kimura, Masato 1 Lazarev, Nyurgun Petrovich 1 Leont’ev, A. N. 1 Reichelt, Sina 1 Ring, Wolfgang 1 Sadovskii, Vladimir M. 1 Sukhorukov, I. V. all top 5 Serials 7 Mathematical Methods in the Applied Sciences 6 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 3 IMA Journal of Applied Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mechanica 2 Applicable Analysis 2 International Journal of Engineering Science 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Control and Cybernetics 2 Applications of Mathematics 2 Advances in Mathematical Sciences and Applications 2 Journal of Inverse and Ill-Posed Problems 2 Mathematics and Mechanics of Solids 1 Dinamika Sploshnoĭ Sredy 1 Prikladnaya Matematika i Mekhanika 1 Archivum Mathematicum 1 Calcolo 1 Differential Equations 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Optimization 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Optimization 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 Journal of Applied Mechanics and Technical Physics 1 Optimization and Engineering 1 Kinetic and Related Models 1 Eurasian Mathematical Journal 1 Analysis and Mathematical Physics 1 Axioms 1 JSIAM Letters 1 Mathematics for Industry 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Fields 65 Mechanics of deformable solids (74-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 39 Partial differential equations (35-XX) 9 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 4 Optics, electromagnetic theory (78-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 624 times in 259 Documents Cited by ▼ Year ▼ A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381 Kovtunenko, Victor A.; Leugering, Günter 36 2016 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 33 2011 Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047 Kovtunenko, V. A. 30 2006 Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions. Zbl 0954.35076 Bach, Michael; Khludnev, Alexander M.; Kovtunenko, Victor A. 26 2000 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 24 2017 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058 Hintermüller, M.; Kovtunenko, V. A. 22 2011 Invariant energy integrals for the nonlinear crack problem with possible contact of the crack surfaces. Zbl 1067.74562 Kovtunenko, V. A. 22 2003 Problem of crack perturbation based on level sets and velocities. Zbl 1353.74064 Kovtunenko, V. A.; Kunisch, K. 21 2007 Shape sensitivity of curvilinear cracks on interface to nonlinear perturbations. Zbl 1099.35515 Kovtunenko, Victor A. 21 2003 The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 19 2004 A hemivariational inequality in crack problems. Zbl 1242.49016 Kovtunenko, V. A. 18 2011 On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 17 2018 Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023 Hintermüller, M.; Kovtunenko, V.; Kunisch, K. 16 2004 High precision identification of an object: optimality-conditions-based concept of imaging. Zbl 1293.35366 Kovtunenko, Victor A.; Kunisch, Karl 16 2014 On the topological derivative due to kink of a crack with non-penetration. Anti-plane model. Zbl 1203.49035 Khludnev, A. M.; Kovtunenko, V. A.; Tani, A. 16 2010 Evolution of a crack with kink and non-penetration. Zbl 1153.49040 Khludnev, Alexander M.; Kovtunenko, Victor A.; Tani, Atusi 14 2008 Nonconvex problem for crack with nonpenetration. Zbl 1155.74399 Kovtunenko, Victor A. 14 2005 The interface crack with Coulomb friction between two bonded dissimilar elastic media. Zbl 1224.35054 Itou, H.; Kovtunenko, V. A.; Tani, A. 13 2011 Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 13 2019 Numerical simulation of the nonlinear crack problem with non-penetration. Zbl 1099.74056 Kovtunenko, Victor A. 12 2004 Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157 Cakoni, Fioralba; Kovtunenko, Victor A. 11 2018 A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. Zbl 1379.35011 Fellner, Klemens; Kovtunenko, Victor A. 11 2016 Shape differentiability of Lagrangians and application to Stokes problem. Zbl 1401.49011 Kovtunenko, V. A.; Ohtsuka, K. 10 2018 Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 9 2005 Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium. Zbl 1379.35314 Kovtunenko, Victor A.; Zubkova, Anna V. 9 2018 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 8 2009 Variational and hemivariational inequalities in mechanics of elastoplastic, granular media, and quasibrittle cracks. Zbl 1316.49011 Annin, Boris D.; Kovtunenko, Victor A.; Sadovskii, Vladimir M. 8 2015 Crack in a solid under Coulomb friction law. Zbl 1058.74064 Kovtunenko, Victor A. 7 2000 Sensitivity of interfacial cracks to non-linear crack front perturbations. Zbl 1205.74150 Kovtunenko, V. A. 7 2002 Sensitivity of cracks in 2D-Lamé problem via material derivatives. Zbl 1153.74370 Kovtunenko, Victor A. 7 2001 Contacting crack faces within the context of bodies exhibiting limiting strains. Zbl 1409.74004 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 7 2017 Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. Zbl 1425.74081 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 7 2019 A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptotic expansions. Zbl 1336.35038 Fellner, Klemens; Kovtunenko, Victor A. 6 2015 Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. Zbl 1473.35551 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 6 2021 Homogenization of the generalized Poisson-Nernst-Planck problem in a two-phase medium: correctors and estimates. Zbl 1458.35042 Kovtunenko, V. A.; Zubkova, A. V. 6 2021 Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities. Zbl 1419.74215 Kovtunenko, V. A.; Kunisch, K.; Ring, W. 6 2009 On an implicit model linear in both stress and strain to describe the response of porous solids. Zbl 1465.74048 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 6 2021 Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252 Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A. 6 2020 An equilibrium problem of a plate with an oblique cut. Zbl 0920.73108 Kovtunenko, V. A.; Leont’ev, A. N.; Khludnev, A. M. 5 1998 On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability. Zbl 1361.35007 Kovtunenko, Victor A.; Zubkova, Anna V. 5 2017 The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. Zbl 1465.74129 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 5 2020 Optimization formulation of the evolutionary problem of crack propagation under quasibrittle fracture. Zbl 1116.74051 Kovtunenko, V. A.; Sukhorukov, I. V. 4 2006 Variational and boundary value problems in the presence of friction on the inner boundary. Zbl 0924.73328 Kovtunenko, V. A. 4 1998 Interface cracks in composite orthotropic materials and their delamination via global shape optimization. Zbl 1175.74074 Kovtunenko, Victor A. 4 2006 Regular perturbation methods for a region with a crack. Zbl 1002.74086 Kovtunenko, V. A. 4 2002 Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem. Zbl 1495.35220 Kovtunenko, Victor A.; Kunisch, Karl 4 2022 Primal-dual sensitivity analysis of active sets for mixed boundary value contact problems. Zbl 1104.74047 Kovtunenko, Victor A. 3 2006 An iterative penalty method for a problem with constraints on the inner boundary. Zbl 0878.73077 Kovtunenko, V. A. 3 1996 Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 3 2007 Solvability and Lyapunov stability of a two-component system of generalized Poisson-Nernst-Planck equations. Zbl 1370.35047 Kovtunenko, Victor A.; Zubkova, Anna V. 3 2017 On proportional deformation paths in hypoplasticity. Zbl 1440.74088 Bauer, Erich; Kovtunenko, Victor A.; Krejčí, Pavel; Krenn, Nepomuk; Siváková, Lenka; Zubkova, Anna V. 3 2020 Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. Zbl 1495.35170 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 3 2022 On the shape differentiability of objectives: a Lagrangian approach and the Brinkman problem. Zbl 1432.49060 González Granada, José Rodrigo; Gwinner, Joachim; Kovtunenko, Victor A. 3 2018 Solution of the problem of optimal cut in an elastic beam. Zbl 0947.74044 Kovtunenko, V. A. 2 1999 Analytical solution of a variational inequality for a cutted bar. Zbl 0863.73077 Kovtunenko, Victor 2 1996 High-order topological expansions for Helmholtz problems in 2D. Zbl 1382.49043 Kovtunenko, Victor A. 2 2017 Modified model for proportional loading and unloading of hypoplastic materials. Zbl 1443.74155 Bauer, Erich; Kovtunenko, Victor A.; Krejčí, Pavel; Krenn, Nepomuk; Siváková, Lenka; Zubkova, Anna 2 2019 A shape-topological control of variational inequalities. Zbl 1463.35062 Kovtunenko, Viktor Anatolievich; Leugering, Günter 2 2016 Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains. Zbl 1446.35017 Kovtunenko, Victor A.; Reichelt, Sina; Zubkova, Anna V. 2 2020 Shape differentiability of Lagrangians and application to overdetermined problems. Zbl 1505.74094 Kovtunenko, Victor A.; Ohtsuka, Kohji 2 2020 Entropy method for generalized Poisson-Nernst-Planck equations. Zbl 1404.35241 González Granada, José Rodrigo; Kovtunenko, Victor A. 2 2018 Numerical method for solving the problem of the contact of an elastic plate with an obstacle. Zbl 1030.74568 Kovtunenko, V. A. 1 1994 An iterative method for solving variational inequalities of the contact elastoplastic problem by the penalty method. Zbl 0816.73076 Kovtunenko, V. A. 1 1993 An iterative penalty method for variational inequalities with strongly monotone operators. Zbl 0858.47038 Kovtunenko, V. A. 1 1994 Solution of the problem of a beam with a cut. Zbl 1064.74614 Kovtunenko, V. A. 1 1996 Quasistatic propagation of cracks. Zbl 1095.74028 Kovtunenko, Victor A. 1 2003 Iterative approximations of penalty operators. Zbl 0880.65048 Kovtunenko, V. 1 1997 Iterative penalty method for plate with a crack. Zbl 0896.73079 Kovtunenko, Victor 1 1997 Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening. Zbl 07511000 Kovtunenko, Victor A.; Bauer, Erich; Eliaš, Ján; Krejčí, Pavel; Monteiro, Giselle A.; Straková, Lenka 1 2021 Poroelastic medium with non-penetrating crack driven by hydraulic fracture: variational inequality and its semidiscretization. Zbl 1483.74028 Kovtunenko, Victor A. 1 2022 Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem. Zbl 1404.65272 Kovtunenko, Victor A.; Kunisch, Karl 1 2018 An optimization approach for the delamination of a composite material with nonpenetration. Zbl 1403.74037 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 1 2007 A generalization of the Kelvin-Voigt model with pressure-dependent moduli in which both stress and strain appear linearly. Zbl 07793789 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 1 2023 A generalization of the Kelvin-Voigt model with pressure-dependent moduli in which both stress and strain appear linearly. Zbl 07793789 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 1 2023 Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem. Zbl 1495.35220 Kovtunenko, Victor A.; Kunisch, Karl 4 2022 Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. Zbl 1495.35170 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 3 2022 Poroelastic medium with non-penetrating crack driven by hydraulic fracture: variational inequality and its semidiscretization. Zbl 1483.74028 Kovtunenko, Victor A. 1 2022 Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. Zbl 1473.35551 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 6 2021 Homogenization of the generalized Poisson-Nernst-Planck problem in a two-phase medium: correctors and estimates. Zbl 1458.35042 Kovtunenko, V. A.; Zubkova, A. V. 6 2021 On an implicit model linear in both stress and strain to describe the response of porous solids. Zbl 1465.74048 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 6 2021 Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening. Zbl 07511000 Kovtunenko, Victor A.; Bauer, Erich; Eliaš, Ján; Krejčí, Pavel; Monteiro, Giselle A.; Straková, Lenka 1 2021 Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252 Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A. 6 2020 The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. Zbl 1465.74129 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 5 2020 On proportional deformation paths in hypoplasticity. Zbl 1440.74088 Bauer, Erich; Kovtunenko, Victor A.; Krejčí, Pavel; Krenn, Nepomuk; Siváková, Lenka; Zubkova, Anna V. 3 2020 Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains. Zbl 1446.35017 Kovtunenko, Victor A.; Reichelt, Sina; Zubkova, Anna V. 2 2020 Shape differentiability of Lagrangians and application to overdetermined problems. Zbl 1505.74094 Kovtunenko, Victor A.; Ohtsuka, Kohji 2 2020 Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 13 2019 Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. Zbl 1425.74081 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 7 2019 Modified model for proportional loading and unloading of hypoplastic materials. Zbl 1443.74155 Bauer, Erich; Kovtunenko, Victor A.; Krejčí, Pavel; Krenn, Nepomuk; Siváková, Lenka; Zubkova, Anna 2 2019 On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 17 2018 Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157 Cakoni, Fioralba; Kovtunenko, Victor A. 11 2018 Shape differentiability of Lagrangians and application to Stokes problem. Zbl 1401.49011 Kovtunenko, V. A.; Ohtsuka, K. 10 2018 Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium. Zbl 1379.35314 Kovtunenko, Victor A.; Zubkova, Anna V. 9 2018 On the shape differentiability of objectives: a Lagrangian approach and the Brinkman problem. Zbl 1432.49060 González Granada, José Rodrigo; Gwinner, Joachim; Kovtunenko, Victor A. 3 2018 Entropy method for generalized Poisson-Nernst-Planck equations. Zbl 1404.35241 González Granada, José Rodrigo; Kovtunenko, Victor A. 2 2018 Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem. Zbl 1404.65272 Kovtunenko, Victor A.; Kunisch, Karl 1 2018 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 24 2017 Contacting crack faces within the context of bodies exhibiting limiting strains. Zbl 1409.74004 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 7 2017 On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability. Zbl 1361.35007 Kovtunenko, Victor A.; Zubkova, Anna V. 5 2017 Solvability and Lyapunov stability of a two-component system of generalized Poisson-Nernst-Planck equations. Zbl 1370.35047 Kovtunenko, Victor A.; Zubkova, Anna V. 3 2017 High-order topological expansions for Helmholtz problems in 2D. Zbl 1382.49043 Kovtunenko, Victor A. 2 2017 A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. Zbl 1342.35381 Kovtunenko, Victor A.; Leugering, Günter 36 2016 A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. Zbl 1379.35011 Fellner, Klemens; Kovtunenko, Victor A. 11 2016 A shape-topological control of variational inequalities. Zbl 1463.35062 Kovtunenko, Viktor Anatolievich; Leugering, Günter 2 2016 Variational and hemivariational inequalities in mechanics of elastoplastic, granular media, and quasibrittle cracks. Zbl 1316.49011 Annin, Boris D.; Kovtunenko, Victor A.; Sadovskii, Vladimir M. 8 2015 A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptotic expansions. Zbl 1336.35038 Fellner, Klemens; Kovtunenko, Victor A. 6 2015 High precision identification of an object: optimality-conditions-based concept of imaging. Zbl 1293.35366 Kovtunenko, Victor A.; Kunisch, Karl 16 2014 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 33 2011 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058 Hintermüller, M.; Kovtunenko, V. A. 22 2011 A hemivariational inequality in crack problems. Zbl 1242.49016 Kovtunenko, V. A. 18 2011 The interface crack with Coulomb friction between two bonded dissimilar elastic media. Zbl 1224.35054 Itou, H.; Kovtunenko, V. A.; Tani, A. 13 2011 On the topological derivative due to kink of a crack with non-penetration. Anti-plane model. Zbl 1203.49035 Khludnev, A. M.; Kovtunenko, V. A.; Tani, A. 16 2010 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 8 2009 Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities. Zbl 1419.74215 Kovtunenko, V. A.; Kunisch, K.; Ring, W. 6 2009 Evolution of a crack with kink and non-penetration. Zbl 1153.49040 Khludnev, Alexander M.; Kovtunenko, Victor A.; Tani, Atusi 14 2008 Problem of crack perturbation based on level sets and velocities. Zbl 1353.74064 Kovtunenko, V. A.; Kunisch, K. 21 2007 Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 3 2007 An optimization approach for the delamination of a composite material with nonpenetration. Zbl 1403.74037 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 1 2007 Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047 Kovtunenko, V. A. 30 2006 Optimization formulation of the evolutionary problem of crack propagation under quasibrittle fracture. Zbl 1116.74051 Kovtunenko, V. A.; Sukhorukov, I. V. 4 2006 Interface cracks in composite orthotropic materials and their delamination via global shape optimization. Zbl 1175.74074 Kovtunenko, Victor A. 4 2006 Primal-dual sensitivity analysis of active sets for mixed boundary value contact problems. Zbl 1104.74047 Kovtunenko, Victor A. 3 2006 Nonconvex problem for crack with nonpenetration. Zbl 1155.74399 Kovtunenko, Victor A. 14 2005 Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 9 2005 The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 19 2004 Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023 Hintermüller, M.; Kovtunenko, V.; Kunisch, K. 16 2004 Numerical simulation of the nonlinear crack problem with non-penetration. Zbl 1099.74056 Kovtunenko, Victor A. 12 2004 Invariant energy integrals for the nonlinear crack problem with possible contact of the crack surfaces. Zbl 1067.74562 Kovtunenko, V. A. 22 2003 Shape sensitivity of curvilinear cracks on interface to nonlinear perturbations. Zbl 1099.35515 Kovtunenko, Victor A. 21 2003 Quasistatic propagation of cracks. Zbl 1095.74028 Kovtunenko, Victor A. 1 2003 Sensitivity of interfacial cracks to non-linear crack front perturbations. Zbl 1205.74150 Kovtunenko, V. A. 7 2002 Regular perturbation methods for a region with a crack. Zbl 1002.74086 Kovtunenko, V. A. 4 2002 Sensitivity of cracks in 2D-Lamé problem via material derivatives. Zbl 1153.74370 Kovtunenko, Victor A. 7 2001 Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions. Zbl 0954.35076 Bach, Michael; Khludnev, Alexander M.; Kovtunenko, Victor A. 26 2000 Crack in a solid under Coulomb friction law. Zbl 1058.74064 Kovtunenko, Victor A. 7 2000 Solution of the problem of optimal cut in an elastic beam. Zbl 0947.74044 Kovtunenko, V. A. 2 1999 An equilibrium problem of a plate with an oblique cut. Zbl 0920.73108 Kovtunenko, V. A.; Leont’ev, A. N.; Khludnev, A. M. 5 1998 Variational and boundary value problems in the presence of friction on the inner boundary. Zbl 0924.73328 Kovtunenko, V. A. 4 1998 Iterative approximations of penalty operators. Zbl 0880.65048 Kovtunenko, V. 1 1997 Iterative penalty method for plate with a crack. Zbl 0896.73079 Kovtunenko, Victor 1 1997 An iterative penalty method for a problem with constraints on the inner boundary. Zbl 0878.73077 Kovtunenko, V. A. 3 1996 Analytical solution of a variational inequality for a cutted bar. Zbl 0863.73077 Kovtunenko, Victor 2 1996 Solution of the problem of a beam with a cut. Zbl 1064.74614 Kovtunenko, V. A. 1 1996 Numerical method for solving the problem of the contact of an elastic plate with an obstacle. Zbl 1030.74568 Kovtunenko, V. A. 1 1994 An iterative penalty method for variational inequalities with strongly monotone operators. Zbl 0858.47038 Kovtunenko, V. A. 1 1994 An iterative method for solving variational inequalities of the contact elastoplastic problem by the penalty method. Zbl 0816.73076 Kovtunenko, V. A. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 239 Authors 51 Kovtunenko, Viktor Anatolievich 41 Khludnev, Aleksandr Mikhaĭlovich 34 Lazarev, Nyurgun Petrovich 16 Rudoy, Evgeny Mikhailovich 13 Itou, Hiromichi 13 Rajagopal, Kumbakonam Ramamani 10 Kunisch, Karl 9 Gwinner, Joachim 9 Popova, Tatiana Semenovna 9 Semenova, Galina Mikhaĭlovna 7 Migórski, Stanisław 7 Shcherbakov, Viktor Viktorovich 7 Zeng, Shengda 7 Zubkova, Anna V. 6 Barboteu, Mikaël 6 Khan, Akhtar Ali 6 Leugering, Günter 6 Ovcharova, Nina 5 Fankina, Irina Vladimirovna 5 Şengül, Yasemin 5 Tani, Atusi 4 Abide, Stéphane 4 Bauer, Erich 4 Bunoiu, Renata 4 Dumont, Serge 4 Hintermüller, Michael 4 Krejčí, Pavel 4 Mallikarjunaiah, S. M. 4 Timofte, Claudia 3 Ainsworth, Mark 3 Argatov, Ivan I. 3 Cherkaoui, Soufiane 3 Danan, David 3 Faella, Luisa 3 Mihai, L. Angela 3 Mirsalimov, Vagif M. 3 Namm, Robert Viktorovich 3 Neustroeva, Natalia Valerianovna 3 Ohtsuka, Kohji 3 Siváková, Lenka 3 Sokołowski, Jan 3 Tsoy, Georgiy I. 2 Alekseev, Gennady V. 2 Bulíček, Miroslav 2 Bustamante, Roger 2 Everstov, Vladimir V. 2 Fedotov, Egor Dmitrievich 2 Fellner, Klemens 2 Fernandez, Lucas dos Santos 2 Furtsev, Alexey Igorevich 2 González Granada, José Rodrigo 2 Grigorev, Mark Petrovich 2 Huang, Huaxiong 2 Karnaev, Vyacheslav Mikhailovich 2 Krenn, Nepomuk 2 Lalegname, Adriana E. 2 Lemenant, Antoine 2 Liu, Zhenhai 2 Monteiro, Giselle Antunes 2 Novotny, Antonio André 2 Osher, Stanley Joel 2 Patel, Victoria 2 Prakash, Ravi 2 Sändig, Anna-Margarete 2 Sato, Riuji 2 Sazhenkov, Sergey Alexandrovich 2 Shifrin, Efim I. 2 Stadler, Georg 2 Süli, Endre E. 2 Tereshko, Dmitry A. 2 Vernescu, Bogdan 2 Xiao, Chun 2 Xu, Shixin 2 Yoon, Hyun Chul 2 Yue, Xingye 1 Alphonse, Amal 1 Atluri, Satya N. 1 Bach, Michael 1 Barfeie, Mahdiar 1 Bartman, Piotr 1 Bartosz, Krzysztof 1 Bastos, Waldemar Donizete 1 Bhattacharya, Apratim 1 Bicanic, Nenad 1 Blank, Luise 1 Bonaldi, Francesco 1 Cai, Dong-ling 1 Caimmi, Francesco 1 Cakoni, Fioralba 1 Calder, Jeff 1 Castelli, G. Fabian 1 Cen, Jinxia 1 Chadli, Ouayl 1 Chambolle, Antonin 1 Cheng, Xiaoliang 1 Chuquipoma, José A. D. 1 Corbo Esposito, Antonio 1 Curtis, Frank E. 1 Dao, Minh Ngoc 1 Das, Subir ...and 139 more Authors all top 5 Cited in 98 Serials 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 11 Journal of Optimization Theory and Applications 10 Journal of Computational and Applied Mathematics 10 Sibirskie Èlektronnye Matematicheskie Izvestiya 9 Journal of Applied Mechanics and Technical Physics 8 Mathematical Methods in the Applied Sciences 8 Mathematics and Mechanics of Solids 7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 6 Inverse Problems 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computers & Mathematics with Applications 4 International Journal of Engineering Science 4 Quarterly of Applied Mathematics 4 SIAM Journal on Control and Optimization 4 Applications of Mathematics 4 Computational Mathematics and Mathematical Physics 4 Journal of Inverse and Ill-Posed Problems 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Applied Mathematics and Mechanics 3 Numerische Mathematik 3 Siberian Mathematical Journal 3 Optimization 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 International Journal of Fracture 3 Boundary Value Problems 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 Acta Mechanica 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Prikladnaya Matematika i Mekhanika 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 SIAM Journal on Optimization 2 Journal of Mathematical Sciences (New York) 2 Journal of Convex Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Analysis and Mathematical Physics 2 Journal of Siberian Federal University. Mathematics & Physics 2 Fixed Point Theory and Algorithms for Sciences and Engineering 1 Nonlinearity 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Sugaku Expositions 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 International Applied Mechanics 1 Georgian Mathematical Journal 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. A. Solids 1 Communications of the Korean Mathematical Society 1 Journal of Dynamical and Control Systems 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Inverse Problems in Science and Engineering 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Science China. Mathematics 1 Eurasian Mathematical Journal 1 Journal of Theoretical Biology 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Axioms 1 JSIAM Letters 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Matematicheskie Zametki SVFU 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 25 Fields 185 Mechanics of deformable solids (74-XX) 118 Partial differential equations (35-XX) 118 Calculus of variations and optimal control; optimization (49-XX) 33 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 10 Operator theory (47-XX) 9 Operations research, mathematical programming (90-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year