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Repin, Sergeĭ Igorevich

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Author ID: repin.sergey-i Recent zbMATH articles by "Repin, Sergeĭ Igorevich"
Published as: Repin, S. I.; Repin, Sergey; Repin, S.; Repin, Sergey I.; Repin, Sergej I.; Repin, Sergei; Repin, Sergej
Homepage: https://amd.spbstu.ru/person/repin_sergey_igorevich/
External Links: MGP · Math-Net.Ru · dblp · GND
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Serials

40 Journal of Mathematical Sciences (New York)
15 Russian Journal of Numerical Analysis and Mathematical Modelling
12 Computational Methods in Applied Mathematics
6 Journal of Numerical Mathematics
5 Zapiski Nauchnykh Seminarov POMI
4 Problemy Matematicheskogo Analiza
3 Computers & Mathematics with Applications
3 Journal of Applied Mathematics and Mechanics
3 Mathematical Methods in the Applied Sciences
3 Journal of Computational and Applied Mathematics
3 Numerical Functional Analysis and Optimization
3 Computational Mathematics and Mathematical Physics
3 U.S.S.R. Computational Mathematics and Mathematical Physics
3 St. Petersburg Mathematical Journal
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Computational Methods in Applied Sciences
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 SIAM Journal on Numerical Analysis
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Russian Mathematics
2 East-West Journal of Numerical Mathematics
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Differential Equations
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Radon Series on Computational and Applied Mathematics
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Numerical Analysis
1 International Journal of Engineering Science
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Applied Mathematics and Computation
1 BIT
1 Computing
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Numerical Methods for Partial Differential Equations
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Applications of Mathematics
1 Journal of Non-Newtonian Fluid Mechanics
1 Soviet Physics. Doklady
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Advances in Mathematical Sciences and Applications
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 Mathematics and Mechanics of Solids
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Interfaces and Free Boundaries
1 Matematicheskoe Modelirovanie
1 Central European Journal of Mathematics
1 Analysis and Applications (Singapore)
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 EMS Tracts in Mathematics
1 Mathematical Modelling of Natural Phenomena
1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 934 times in 384 Documents Cited by Year
A posteriori estimates for partial differential equations. Zbl 1162.65001
Repin, Sergey
129
2008
Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093
Neittaanmäki, Pekka; Repin, Sergey
74
2004
A posteriori error estimation for variational problems with uniformly convex functionals. Zbl 0949.65070
Repin, Sergey I.
67
2000
New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113
Kuznetsov, Yu.; Repin, S.
33
2003
A posteriori error estimation for nonlinear variational problems by duality theory. Zbl 0904.65064
Repin, S. I.
31
1997
Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation. Zbl 1221.65244
Repin, Sergey
22
2002
A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Zbl 1128.35319
Repin, S.; Sauter, S.; Smolianski, A.
22
2003
Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093
Repin, Sergey; Sauter, Stefan
19
2006
A posteriori estimates for the Stokes problem. Zbl 0978.35042
Repin, S. I.
18
1999
Accuracy verification methods. Theory and algorithms. Zbl 1364.65106
Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey
18
2014
Two-sided estimates of deviation from exact solutions of uniformly elliptic equations. Zbl 1039.65076
Repin, S. I.
16
2001
Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K.
15
2009
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
15
2003
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
14
2005
Estimates of the difference between approximate solutions of the Cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter. Zbl 1277.35033
Repin, S. I.; Chetverushkin, B. N.
13
2013
Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
13
2007
Errors of finite element method for perfectly elasto-plastic problems. Zbl 0856.73071
Repin, Sergey I.
12
1996
Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041
Nazarov, A. I.; Repin, S. I.
12
2015
A posteriori error estimation for elasto-plastic problems based on duality theory. Zbl 0886.73082
Repin, Sergey I.; Xanthis, Leonidas S.
11
1996
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
10
1995
A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150
Repin, S.; Stenberg, R.
10
2007
A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049
Fuchs, M.; Repin, S.
10
2006
A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
9
2004
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
9
2008
Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control. Zbl 1327.65221
Repin, Sergey
8
2015
A posteriori error estimates for approximate solutions to variational problems with strongly convex functionals. Zbl 0941.65059
Repin, S. I.
8
1997
Estimates of deviations from exact solutions of elliptic variational inequalities. Zbl 1118.35320
Repin, S. I.
8
2000
Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. Zbl 1234.65039
Repin, Sergey I.; Tomar, Satyendra K.
8
2011
Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142
Matculevich, Svetlana; Repin, Sergey
8
2016
Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532
Repin, S.; Seregin, G.
7
1995
A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
7
2004
Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Zbl 1163.65077
Tomar, S. K.; Repin, S. I.
7
2009
Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202
Repin, Sergey I.; Valdman, Jan
7
2009
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
7
2016
Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244
Matculevich, S.; Repin, S.
7
2014
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A.
7
2012
A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075
Gaevskaya, A. V.; Repin, S. I.
7
2005
Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. Zbl 1413.49038
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav
6
2016
A posteriori error estimates for boundary-value problems related to the biharmonic operator. Zbl 0986.65101
Neittaanmäki, P.; Repin, S. I.
6
2001
Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145
Neittaanmäki, Pekka; Repin, Sergey
6
2010
A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126
Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey
6
2015
A reliable incremental method of computing the limit load in deformation plasticity based on compliance: continuous and discrete setting. Zbl 1381.74030
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav
6
2016
Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114
Kuznetsov, Yuri; Repin, Sergey
5
2004
Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148
Gaevskaya, A.; Hoppe, R. H. W.; Repin, S.
5
2007
Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. Zbl 1357.76062
Fuchs, M.; Repin, S.
5
2010
A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007
Bildhauer, M.; Fuchs, M.; Repin, S.
5
2007
A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344
Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey
5
2006
A posteriori error estimates for approximations of evolutionary convection-diffusion problems. Zbl 1304.35324
Repin, S. I.; Tomar, S. K.
5
2010
A posteriori error estimates for two-phase obstacle problem. Zbl 1322.35040
Repin, S.; Valdman, J.
5
2015
A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076
Fuchs, M.; Repin, S.
5
2011
Computable majorants of the limit load in Hencky’s plasticity problems. Zbl 1458.74022
Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav
4
2018
Numerical analysis of nonsmooth variational problems of perfect plasticity. Zbl 0820.73079
Repin, S. I.
4
1994
A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164
Neittaanmäki, P.; Repin, S.
4
2010
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167
Repin, S. I.
4
2012
A variational-difference method for solving problems with functionals of linear growth. Zbl 0695.65044
Repin, S. I.
4
1989
On two-sided error estimates for approximate solutions of problems in the linear theory of elasticity. Zbl 1027.74070
Muzalevsky, A. V.; Repin, S. I.
4
2003
On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. Zbl 1269.65110
Anjam, I.; Nokka, M.; Repin, S. I.
4
2012
Two-sided a posteriori error bounds for electro-magnetostatic problems. Zbl 1288.35461
Pauly, D.; Repin, S.
4
2010
Estimates of deviations from the exact solution of a generalized Oseen problem. Zbl 1300.35082
Repin, S. I.
4
2013
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098
Khoromskij, Boris N.; Repin, Sergey I.
4
2015
Estimates of the distance to the set of divergence free fields. Zbl 1331.35063
Repin, S.
4
2015
Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069
Khoromskij, Boris; Repin, Sergey
3
2017
A posteriori estimates of the accuracy of variational methods for problems with nonconvex functionals. Zbl 0964.49009
Repin, S. I.
3
1999
A posteriori error estimates for approximate solutions of variational problems with functionals of power growth. Zbl 0961.49016
Repin, S. I.
3
1997
Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299
Repin, Sergey; Sauter, Stefan
3
2010
Functional a posteriori estimates for Maxwell’s equation. Zbl 1202.35316
Repin, S.
3
2007
On a posteriori error estimates for the stationary Navier-Stokes problem. Zbl 1202.35162
Repin, S.
3
2008
Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality. Zbl 1205.35130
Repin, S. I.
3
2009
The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033
Bildhauer, M.; Fuchs, M.; Repin, S.
3
2009
A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015
Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S.
3
2009
Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158
Repin, Sergey
3
2015
Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundary. Zbl 1361.65068
Matculevich, S. V.; Repin, S. I.
3
2016
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
3
2013
On measures of errors for nonlinear variational problems. Zbl 1276.65036
Repin, S. I.
3
2012
Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011
Repin, Sergey I.; Sauter, Stefan A.
3
2020
Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461
Repin, S.
3
2005
Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372
Repin, S.
3
2008
Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231
Apushkinskaya, Darya E.; Repin, Sergey I.
2
2018
Local a posteriori estimates for the Stokes problem. Zbl 1083.35117
Repin, S. I.
2
2004
Variational formulations for discontinuous displacement fields in problems of the deformation theory of plasticity without hardening. Zbl 0818.73078
Repin, S. I.
2
1991
A posteriori error estimates for boundary value problems with obstacles. Zbl 0968.65041
Buss, Hinderk M.; Repin, Sergey I.
2
2000
A posteriori error estimation for nonlinear variational problems. Zbl 0877.65045
Repin, Sergey I.; Xanthis, Leonidas S.
2
1997
A priori error estimates of variational-difference methods for Hencky plasticity problems. Zbl 0927.74080
Repin, S. I.
2
1995
Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028
Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I.
2
2005
A posteriori error estimates for approximate solutions to boundary problem of elliptic equations. Zbl 1116.65324
Repin, S. I.; Frolov, M. E.
2
2002
Functional-type a posteriori error estimates for mixed finite element methods. Zbl 1086.65103
Repin, S. I.; Smolianski, A.
2
2005
Two-sided a posteriori estimates for a generalized Stokes problem. Zbl 1315.35175
Repin, S.; Stenberg, R.
2
2009
Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107
Neittaanmäki, P.; Repin, S.; Valdman, J.
2
2013
A posteriori error majorants of the modeling errors for elliptic homogenization problems. (Majorations a posteriori de l’erreur de modélisation de problèmes elliptiques homogénéisés.) Zbl 1281.65145
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A.
2
2013
A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100
Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J.
2
2010
Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity. Zbl 1273.35266
Repin, S.; Frolov, M. E.
2
2012
Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
2
2019
Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Zbl 1151.65057
Bildhauer, Michael; Fuchs, Martin; Repin, Sergey
2
2008
A priori error estimates of variational-difference methods for problems of Hencky plasticity. Zbl 0894.73228
Repin, S. I.
2
1995
A functional type a posteriori error analysis for the Ramberg-Osgood model. Zbl 1128.74006
Bildhauer, Michael; Fuchs, Martin; Repin, Sergey
2
2007
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.
2
2020
A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391
Weymuth, Monika; Sauter, Stefan; Repin, Sergey
1
2017
On variational representations of the constant in the inf-sup condition for the Stokes problem. Zbl 1392.35237
Repin, S.
1
2017
Application of duality methods in problems of optimizing the shape of elastic bodies. Zbl 0584.73116
Petukhov, L. V.; Repin, S. I.
1
1985
Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011
Repin, Sergey I.; Sauter, Stefan A.
3
2020
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.
2
2020
Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. Zbl 1454.35182
Apushkinskaya, D. E.; Repin, S. I.
1
2020
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey
1
2020
Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
2
2019
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Zbl 1443.65185
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
1
2019
Inf-sup conditions on convex cones and applications to limit load analysis. Zbl 07273369
Haslinger, Jaroslav; Sysala, Stanislav; Repin, Sergey
1
2019
Computable majorants of the limit load in Hencky’s plasticity problems. Zbl 1458.74022
Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav
4
2018
Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231
Apushkinskaya, Darya E.; Repin, Sergey I.
2
2018
Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Zbl 1482.76100
Repin, S.
1
2018
Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069
Khoromskij, Boris; Repin, Sergey
3
2017
A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391
Weymuth, Monika; Sauter, Stefan; Repin, Sergey
1
2017
On variational representations of the constant in the inf-sup condition for the Stokes problem. Zbl 1392.35237
Repin, S.
1
2017
Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142
Matculevich, Svetlana; Repin, Sergey
8
2016
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
7
2016
Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. Zbl 1413.49038
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav
6
2016
A reliable incremental method of computing the limit load in deformation plasticity based on compliance: continuous and discrete setting. Zbl 1381.74030
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav
6
2016
Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundary. Zbl 1361.65068
Matculevich, S. V.; Repin, S. I.
3
2016
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan
1
2016
Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041
Nazarov, A. I.; Repin, S. I.
12
2015
Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control. Zbl 1327.65221
Repin, Sergey
8
2015
A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126
Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey
6
2015
A posteriori error estimates for two-phase obstacle problem. Zbl 1322.35040
Repin, S.; Valdman, J.
5
2015
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098
Khoromskij, Boris N.; Repin, Sergey I.
4
2015
Estimates of the distance to the set of divergence free fields. Zbl 1331.35063
Repin, S.
4
2015
Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158
Repin, Sergey
3
2015
Interpolation of functions based on poincare type inequalities for functions with zero mean boundary traces. Zbl 1312.41009
Repin, Sergej I.
1
2015
Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities. Zbl 1331.35186
Matculevich, S.; Repin, S.
1
2015
Accuracy verification methods. Theory and algorithms. Zbl 1364.65106
Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey
18
2014
Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244
Matculevich, S.; Repin, S.
7
2014
A posteriori error bounds for approximations of the Oseen problem and applications to the Uzawa iteration algorithm. Zbl 1299.76148
Nokka, Marjaana; Repin, Sergey
1
2014
Estimates of the difference between approximate solutions of the Cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter. Zbl 1277.35033
Repin, S. I.; Chetverushkin, B. N.
13
2013
Estimates of deviations from the exact solution of a generalized Oseen problem. Zbl 1300.35082
Repin, S. I.
4
2013
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
3
2013
Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107
Neittaanmäki, P.; Repin, S.; Valdman, J.
2
2013
A posteriori error majorants of the modeling errors for elliptic homogenization problems. (Majorations a posteriori de l’erreur de modélisation de problèmes elliptiques homogénéisés.) Zbl 1281.65145
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A.
2
2013
On quantitative analysis of an ill-posed elliptic problem with Cauchy boundary conditions. Zbl 1267.65170
Repin, Sergey; Rossi, Tuomo
1
2013
Guaranteed error bounds for a class of Picard-Lindelöf iteration methods. Zbl 1267.65083
Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey
1
2013
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A.
7
2012
Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167
Repin, S. I.
4
2012
On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. Zbl 1269.65110
Anjam, I.; Nokka, M.; Repin, S. I.
4
2012
On measures of errors for nonlinear variational problems. Zbl 1276.65036
Repin, S. I.
3
2012
Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity. Zbl 1273.35266
Repin, S.; Frolov, M. E.
2
2012
Estimates of deviations from the exact solution of the Stokes problem in the vorticity-velocity-pressure formulation. Zbl 1278.35179
Mikhaylov, A.; Repin, S.
1
2012
Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. Zbl 1234.65039
Repin, Sergey I.; Tomar, Satyendra K.
8
2011
A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076
Fuchs, M.; Repin, S.
5
2011
Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient. Zbl 1305.74038
Fuchs, M.; Repin, S.
1
2011
Estimates for deviations from exact solutions of the Cauchy problem for Maxwell’s equations. Zbl 1232.78014
Pauly, Dirk; Repin, Sergey; Rossi, Tuomo
1
2011
Estimates of dimension reduction errors for stationary reaction-diffusion problems. Zbl 1228.35245
Repin, S.; Samrowski, T.
1
2011
Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems. Zbl 1282.74011
Mali, O.; Repin, S.
1
2011
Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145
Neittaanmäki, Pekka; Repin, Sergey
6
2010
Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. Zbl 1357.76062
Fuchs, M.; Repin, S.
5
2010
A posteriori error estimates for approximations of evolutionary convection-diffusion problems. Zbl 1304.35324
Repin, S. I.; Tomar, S. K.
5
2010
A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164
Neittaanmäki, P.; Repin, S.
4
2010
Two-sided a posteriori error bounds for electro-magnetostatic problems. Zbl 1288.35461
Pauly, D.; Repin, S.
4
2010
Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299
Repin, Sergey; Sauter, Stefan
3
2010
A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100
Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J.
2
2010
Estimates of the modeling error for the Kirchhoff-Love plate model. Zbl 1426.74203
Repin, Sergey; Sauter, Stefan A.
1
2010
Estimates of deviations from exact solutions of variational problems with linear growth functionals. Zbl 1288.35218
Repin, S. I.
1
2010
Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K.
15
2009
Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Zbl 1163.65077
Tomar, S. K.; Repin, S. I.
7
2009
Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202
Repin, Sergey I.; Valdman, Jan
7
2009
Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality. Zbl 1205.35130
Repin, S. I.
3
2009
The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033
Bildhauer, M.; Fuchs, M.; Repin, S.
3
2009
A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015
Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S.
3
2009
Two-sided a posteriori estimates for a generalized Stokes problem. Zbl 1315.35175
Repin, S.; Stenberg, R.
2
2009
Estimates of deviations from exact solutions of initial boundary value problems for the wave equation. Zbl 1206.35160
Repin, S.
1
2009
Computable error indicators for approximate solutions of elliptic problems. Zbl 1169.65086
Neittaanmäki, P.; Repin, S.
1
2009
A posteriori error estimates for finite volume approximations. Zbl 1163.65074
Cochez-Dhondt, S.; Nicaise, S.; Repin, S.
1
2009
A posteriori estimates for partial differential equations. Zbl 1162.65001
Repin, Sergey
129
2008
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
9
2008
On a posteriori error estimates for the stationary Navier-Stokes problem. Zbl 1202.35162
Repin, S.
3
2008
Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372
Repin, S.
3
2008
Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Zbl 1151.65057
Bildhauer, Michael; Fuchs, Martin; Repin, Sergey
2
2008
New a posteriori error indicator in terms of linear functionals for linear elliptic problems. Zbl 1136.65103
Neittaanmäki, P.; Repin, S.; Turchyn, P.
1
2008
Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
13
2007
A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150
Repin, S.; Stenberg, R.
10
2007
Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148
Gaevskaya, A.; Hoppe, R. H. W.; Repin, S.
5
2007
A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007
Bildhauer, M.; Fuchs, M.; Repin, S.
5
2007
Functional a posteriori estimates for Maxwell’s equation. Zbl 1202.35316
Repin, S.
3
2007
A functional type a posteriori error analysis for the Ramberg-Osgood model. Zbl 1128.74006
Bildhauer, Michael; Fuchs, Martin; Repin, Sergey
2
2007
A posteriori error estimation methods for partial differential equations. Zbl 1132.65101
Repin, Sergey
1
2007
Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093
Repin, Sergey; Sauter, Stefan
19
2006
A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049
Fuchs, M.; Repin, S.
10
2006
A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344
Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey
5
2006
Estimates of the deviation from the minimizer for variational problems with power growth functionals. Zbl 1136.35042
Bildhauer, M.; Repin, S. I.
1
2006
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
14
2005
A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075
Gaevskaya, A. V.; Repin, S. I.
7
2005
Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461
Repin, S.
3
2005
Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028
Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I.
2
2005
Functional-type a posteriori error estimates for mixed finite element methods. Zbl 1086.65103
Repin, S. I.; Smolianski, A.
2
2005
Error estimates for approximate solutions of problems of the linear thermoelasticity theory. Zbl 1162.74017
Muzalevskii, A. V.; Repin, S. I.
1
2005
Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093
Neittaanmäki, Pekka; Repin, Sergey
74
2004
A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
9
2004
A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
7
2004
Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114
Kuznetsov, Yuri; Repin, Sergey
5
2004
Local a posteriori estimates for the Stokes problem. Zbl 1083.35117
Repin, S. I.
2
2004
An estimate for deviations from the exact solution of the Reissner-Mindlin plate problem. Zbl 1136.74342
Repin, S. I.; Frolov, M. E.
1
2004
New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113
Kuznetsov, Yu.; Repin, S.
33
2003
...and 29 more Documents
all top 5

Cited by 451 Authors

84 Repin, Sergeĭ Igorevich
25 Vohralík, Martin
15 Sauter, Stefan A.
12 Langer, Ulrich
12 Valdman, Jan
10 Chetverushkin, Boris Nikolaevich
8 Lipnikov, Konstantin N.
8 Pauly, Dirk
8 Sysala, Stanislav
7 Carstensen, Carsten
7 Haslinger, Jaroslav
7 Hoppe, Ronald H. W.
7 Korotov, Sergey
7 Manzini, Gianmarco
7 Tomar, Satyendra K.
6 Beirão da Veiga, Lourenço
6 Brezzi, Franco
6 Ern, Alexandre
6 Matculevich, Svetlana
6 Shashkov, Mikhail J.
6 Vejchodský, Tomáš
6 Wolfmayr, Monika
5 Anjam, Immanuel
5 Bartels, Sören
5 Chen, Shaochun
5 Fuchs, Martin
5 Kuznetsov, Yurii Alekseevich
5 Marini, Luisa Donatella
5 Merdon, Christian
5 Smolianski, Anton
5 Wick, Thomas
5 Zhao, Jikun
5 Zikatanov, Ludmil T.
4 Ainsworth, Mark
4 Alekseev, Aleksey K.
4 Braess, Dietrich
4 Frolov, M. E.
4 Gatica, Gabriel N.
4 Huang, Qiumei
4 Russo, Alessandro
4 Samrowski, Tatiana S.
3 Achchab, Boujemaa
3 Agouzal, Abdellatif
3 Apushkinskaya, Darya E.
3 Bondarev, A. E.
3 Čermák, Martin
3 Cheng, Hanz Martin C.
3 Creusé, Emmanuel
3 Di Pietro, Daniele Antonio
3 Droniou, Jérôme
3 Endtmayer, Bernhard
3 Hintermüller, Michael
3 Hu, Xiaozhe
3 Huang, Pengzhan
3 Korneev, Vadim Glebovich
3 Kraus, Johannes K.
3 Kuzmin, Dmitri
3 Manohar, Ram P.
3 Matus, Pëtr Paŭlavich
3 Nakov, Svetoslav
3 Neittaanmäki, Pekka J.
3 Nicaise, Serge
3 Reddy, B. Dayanand
3 Rüter, Marcus Olavi
3 Schöberl, Joachim
3 Sinha, Rajen Kumar
3 Stenberg, Rolf
3 Tishkin, Vladimir Fëdorovich
3 Wheeler, Mary Fanett
3 Wohlmuth, Barbara I.
3 Yotov, Ivan
3 Yousef, Soleiman
3 Zhang, Bei
2 Arakelyan, Avetik
2 Babadjian, Jean-François
2 Bi, Chunjia
2 Bildhauer, Michael
2 Bordas, Stéphane Pierre Alain
2 Bouihat, Khalid
2 Buffa, Annalisa
2 Cai, Zhiqiang
2 Chambolle, Antonin
2 Christiansen, Snorre Harald
2 Codecasa, Lorenzo
2 Dabaghi, Jad
2 D’Ascenzo, Nicola
2 Dolejší, Vít
2 Eigel, Martin
2 El Chami, Fida
2 Gaspar, Francisco José
2 Gedicke, Joscha
2 Geevers, Sjoerd
2 Georgoulis, Emmanuil H.
2 Gyrya, Vitaliy T.
2 Hannukainen, Antti
2 Harasim, Petr
2 Hieu, Le Minh
2 Ilyin, Alexei A.
2 Izsák, Ferenc
2 Johannessen, Kjetil André
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Cited in 89 Serials

32 Journal of Mathematical Sciences (New York)
24 Computer Methods in Applied Mechanics and Engineering
23 Journal of Computational and Applied Mathematics
18 Computers & Mathematics with Applications
17 Numerische Mathematik
17 Computational Methods in Applied Mathematics
12 Mathematics of Computation
11 SIAM Journal on Numerical Analysis
11 Journal of Scientific Computing
10 Journal of Computational Physics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Computational Mathematics and Mathematical Physics
8 SIAM Journal on Scientific Computing
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Applied Mathematics and Computation
7 Applied Numerical Mathematics
7 Numerical Methods for Partial Differential Equations
7 Doklady Mathematics
6 Numerical Functional Analysis and Optimization
6 Applications of Mathematics
6 Journal of Numerical Mathematics
5 Russian Journal of Numerical Analysis and Mathematical Modelling
5 Computational Geosciences
4 Journal of Applied Mathematics and Mechanics
4 Mathematics and Computers in Simulation
4 Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 BIT
3 Calcolo
3 International Journal for Numerical Methods in Engineering
3 St. Petersburg Mathematical Journal
3 Lobachevskii Journal of Mathematics
2 Journal of Differential Equations
2 Kybernetika
2 Quarterly of Applied Mathematics
2 Computational Mechanics
2 Applied Mathematical Modelling
2 Calculus of Variations and Partial Differential Equations
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Matematicheskoe Modelirovanie
2 Central European Journal of Mathematics
2 Acta Numerica
2 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Applicable Analysis
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Moscow University Physics Bulletin
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Acta Mathematica Vietnamica
1 Mathematica Scandinavica
1 Mathematika
1 Physica D
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 The Journal of Geometric Analysis
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1 Archive of Applied Mechanics
1 Journal of Mathematical Imaging and Vision
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1 Numerical Linear Algebra with Applications
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1 Discrete and Continuous Dynamical Systems
1 Mathematics and Mechanics of Solids
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Interfaces and Free Boundaries
1 Foundations of Computational Mathematics
1 Analysis and Applications (Singapore)
1 Journal of Industrial and Management Optimization
1 Inverse Problems in Science and Engineering
1 Complex Variables and Elliptic Equations
1 Frontiers of Mathematics in China
1 Communications in Computational Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Numerical Analysis
1 Advances in Applied Mathematics and Mechanics
1 Journal of Computational Dynamics
1 East Asian Journal on Applied Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 AMM. Applied Mathematics and Mechanics. (English Edition)

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