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Kovtunenko, Viktor Anatolievich

Author ID: kovtunenko.viktor-anatolievich Recent zbMATH articles by "Kovtunenko, Viktor Anatolievich"
Published as: Kovtunenko, Victor A.; Kovtunenko, V. A.; Kovtunenko, Victor; Kovtunenko, V.; Kovtunenko, Viktor Anatolievich
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

Publications by Year

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 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

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