Edit Profile (opens in new tab) Repin, Sergeĭ Igorevich Co-Author Distance Author ID: repin.sergey-i Published as: Repin, S. I.; Repin, Sergey; Repin, S.; Repin, Sergey I.; Repin, Sergej I.; Repin, Sergei; Repin, Sergej more...less Homepage: https://amd.spbstu.ru/person/repin_sergey_igorevich/ External Links: MGP · Math-Net.Ru · dblp · GND Documents Indexed: 192 Publications since 1984, including 4 Books and 7 Additional arXiv Preprints 13 Contributions as Editor Co-Authors: 62 Co-Authors with 141 Joint Publications 1,658 Co-Co-Authors all top 5 Co-Authors 61 single-authored 25 Neittaanmäki, Pekka J. 16 Sauter, Stefan 10 Matculevich, Svetlana 9 Langer, Ulrich 9 Seregin, Gregory A. 8 Fuchs, Martin 8 Mali, Olli 8 Smolianski, Anton 7 Pauly, Dirk 7 Valdman, Jan 6 Haslinger, Jaroslav 6 Samrowski, Tatiana S. 6 Sysala, Stanislav 5 Bildhauer, Michael 5 Frolov, M. E. 5 Muzalevsky, A. V. 4 Anjam, Immanuel 4 Kuznetsov, Yurii Alekseevich 4 Tomar, Satyendra K. 4 Ural’tseva, Nina Nikolaevna 3 Apushkinskaya, Darya E. 3 Kraus, Johannes K. 3 Nokka, Marjaana 2 Gorshkova, Elena 2 Hoppe, Ronald H. W. 2 Khoromskiĭ, Boris Nikolaevich 2 Korotov, Sergey 2 Nakov, Svetoslav 2 Nordbotten, Jan Martin 2 Praetorius, Dirk 2 Rivkind, Valeriĭ Yakovlevich 2 Rossi, Tuomo 2 Stenberg, Rolf 2 Tuovinen, Tero 2 Wolfmayr, Monika 2 Xanthis, Leonidas Spyridon 1 Buß, Hinderk Martens 1 Chetverushkin, Boris Nikolaevich 1 Cochez-Dhondt, Sarah 1 Denisova, Irina Vlad. 1 Filonov, Nikolai D. 1 Frolov, Maksim 1 Frolova, E. V. 1 Gaevskaya, A. V. 1 Gaevskaya, Alexandra 1 Kumar, Kundan 1 Kurz, Stefan 1 Kyas, Svetlana 1 Lazarov, Raytcho D. 1 Maly, O. 1 Matculevich, S. V. 1 Nazarov, Alexander I. 1 Nicaise, Serge 1 Petukhov, L. V. 1 Pileckas, Konstantin 1 Rahman, Talal 1 Reddy, B. Dayanand 1 Sebastian, Daniel 1 Shilkin, T. N. 1 Tiihonen, Timo 1 Turchyn, P. 1 Weymuth, Monika all top 5 Serials 41 Journal of Mathematical Sciences (New York) 16 Russian Journal of Numerical Analysis and Mathematical Modelling 12 Computational Methods in Applied Mathematics 6 Journal of Numerical Mathematics 5 Computational Mathematics and Mathematical Physics 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 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 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 Studies in Mathematics and its Applications 1 EMS Tracts in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications all top 5 Fields 131 Numerical analysis (65-XX) 123 Partial differential equations (35-XX) 49 Mechanics of deformable solids (74-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 22 Fluid mechanics (76-XX) 14 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 1,147 times in 463 Documents Cited by ▼ Year ▼ A posteriori estimates for partial differential equations. Zbl 1162.65001 Repin, Sergey 165 2008 Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093 Neittaanmäki, Pekka; Repin, Sergey 92 2004 A posteriori error estimation for variational problems with uniformly convex functionals. Zbl 0949.65070 Repin, Sergey I. 83 2000 New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113 Kuznetsov, Yu.; Repin, S. 40 2003 A posteriori error estimation for nonlinear variational problems by duality theory. Zbl 0904.65064 Repin, S. I. 35 1997 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106 Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 29 2014 Two-sided estimates of deviation from exact solutions of uniformly elliptic equations. Zbl 1039.65076 Repin, S. I. 25 2001 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093 Repin, Sergey; Sauter, Stefan 23 2006 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. 23 2003 Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation. Zbl 1221.65244 Repin, Sergey 23 2002 A posteriori estimates for the Stokes problem. Zbl 0978.35042 Repin, S. I. 19 1999 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 16 2007 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114 Kuznetsov, Yu.; Repin, S. 16 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. 16 2013 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041 Nazarov, A. I.; Repin, S. I. 16 2015 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 Errors of finite element method for perfectly elasto-plastic problems. Zbl 0856.73071 Repin, Sergey I. 13 1996 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049 Fuchs, M.; Repin, S. 12 2006 A posteriori error estimation for elasto-plastic problems based on duality theory. Zbl 0886.73082 Repin, Sergey I.; Xanthis, Leonidas S. 12 1996 A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150 Repin, S.; Stenberg, R. 11 2007 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 estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 10 2004 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054 Repin, S.; Valdman, J. 9 2008 Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Zbl 1163.65077 Tomar, S. K.; Repin, S. I. 9 2009 Estimates of deviations from exact solutions of elliptic variational inequalities. Zbl 1118.35320 Repin, S. I. 9 2000 A posteriori error estimates for approximate solutions to variational problems with strongly convex functionals. Zbl 0941.65059 Repin, S. I. 8 1997 Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244 Matculevich, S.; Repin, S. 8 2014 Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142 Matculevich, Svetlana; Repin, Sergey 8 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 8 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 8 2016 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 Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. Zbl 1234.65039 Repin, Sergey I.; Tomar, Satyendra K. 8 2011 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 8 2016 Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461 Repin, S. 8 2005 A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075 Gaevskaya, A. V.; Repin, S. I. 7 2005 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 error estimates for approximate solutions of variational problems with functionals of power growth. Zbl 0961.49016 Repin, S. I. 7 1997 A posteriori error estimates for boundary-value problems related to the biharmonic operator. Zbl 0986.65101 Neittaanmäki, P.; Repin, S. I. 7 2001 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011 Repin, Sergey I.; Sauter, Stefan A. 7 2020 Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167 Repin, S. I. 7 2012 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 Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202 Repin, Sergey I.; Valdman, Jan 7 2009 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344 Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 6 2006 A posteriori error estimates for approximate solutions to boundary problem of elliptic equations. Zbl 1116.65324 Repin, S. I.; Frolov, M. E. 6 2002 Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069 Khoromskij, Boris; Repin, Sergey 6 2017 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. 6 2015 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. 6 2007 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164 Neittaanmäki, P.; Repin, S. 6 2010 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 stationary slow flows of power-law fluids. Zbl 1109.76007 Bildhauer, M.; Fuchs, M.; Repin, S. 5 2007 Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114 Kuznetsov, Yuri; Repin, Sergey 5 2004 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 5 2019 A posteriori error estimates for approximations of evolutionary convection-diffusion problems. Zbl 1304.35324 Repin, S. I.; Tomar, S. K. 5 2010 A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098 Khoromskij, Boris N.; Repin, Sergey I. 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 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 Numerical analysis of nonsmooth variational problems of perfect plasticity. Zbl 0820.73079 Repin, S. I. 4 1994 A posteriori estimates of the accuracy of variational methods for problems with nonconvex functionals. Zbl 0964.49009 Repin, S. I. 4 1999 Estimates of the deviation from the minimizer for variational problems with power growth functionals. Zbl 1136.35042 Bildhauer, M.; Repin, S. I. 4 2006 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 Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Zbl 1524.76458 Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey 4 2021 Estimates of the distance to the set of divergence free fields. Zbl 1331.35063 Repin, S. 4 2015 Estimates of deviations from the exact solution of a generalized Oseen problem. Zbl 1300.35082 Repin, S. I. 4 2013 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 Functional a posteriori estimates for Maxwell’s equation. Zbl 1202.35316 Repin, S. 4 2007 A variational-difference method for solving problems with functionals of linear growth. Zbl 0695.65044 Repin, S. I. 4 1989 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. 4 2010 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. 4 2012 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015 Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 4 2009 Two-sided a posteriori error bounds for electro-magnetostatic problems. Zbl 1288.35461 Pauly, D.; Repin, S. 4 2010 Computable majorants of the limit load in Hencky’s plasticity problems. Zbl 1458.74022 Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav 4 2018 A posteriori error estimation for nonlinear variational problems. Zbl 0877.65045 Repin, Sergey I.; Xanthis, Leonidas S. 3 1997 Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372 Repin, S. 3 2008 A posteriori error estimates for boundary value problems with obstacles. Zbl 0968.65041 Buss, Hinderk M.; Repin, Sergey I. 3 2000 A posteriori error estimates for finite volume approximations. Zbl 1163.65074 Cochez-Dhondt, S.; Nicaise, S.; Repin, S. 3 2009 Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications. Zbl 1493.65228 Repin, S. I. 3 2021 Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197 Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey 3 2020 Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158 Repin, Sergey 3 2015 Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Zbl 1482.76100 Repin, S. 3 2018 Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient. Zbl 1305.74038 Fuchs, M.; Repin, S. 3 2011 The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033 Bildhauer, M.; Fuchs, M.; Repin, S. 3 2009 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299 Repin, Sergey; Sauter, Stefan 3 2010 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 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 Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231 Apushkinskaya, Darya E.; Repin, Sergey I. 2 2018 Variational formulations for discontinuous displacement fields in problems of the deformation theory of plasticity without hardening. Zbl 0818.73078 Repin, S. I. 2 1991 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 posteriori error estimates taking into account indeterminacy of the problem data. Zbl 1044.65079 Repin, S. I. 2 2003 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 Functional-type a posteriori error estimates for mixed finite element methods. Zbl 1086.65103 Repin, S. I.; Smolianski, A. 2 2005 Local a posteriori estimates for the Stokes problem. Zbl 1083.35117 Repin, S. I. 2 2004 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 2 2007 Error control for approximate solutions of a class of singularly perturbed boundary value problems. Zbl 1505.65287 Repin, S. I. 2 2022 Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Zbl 1524.76458 Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey 4 2021 Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications. Zbl 1493.65228 Repin, S. I. 3 2021 Functional a posteriori error estimates for boundary element methods. Zbl 1464.65234 Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel 2 2021 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011 Repin, Sergey I.; Sauter, Stefan A. 7 2020 Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197 Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey 3 2020 Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. Zbl 1454.35182 Apushkinskaya, D. E.; Repin, S. I. 2 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 A posteriori estimates for the stationary Stokes problem in exterior domains. Zbl 1437.35275 Pauly, D.; Repin, S. 1 2020 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 5 2019 Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 2 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 Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Zbl 1482.76100 Repin, S. 3 2018 Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231 Apushkinskaya, Darya E.; Repin, Sergey I. 2 2018 Functional type error control for stabilised space-time IgA approximations to parabolic problems. Zbl 1465.65097 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 1 2018 Error identities for variational problems with obstacles. Zbl 07776850 Repin, S.; Valdman, J. 1 2018 Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069 Khoromskij, Boris; Repin, Sergey 6 2017 On variational representations of the constant in the inf-sup condition for the Stokes problem. Zbl 1392.35237 Repin, S. 2 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 Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142 Matculevich, Svetlana; Repin, Sergey 8 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 8 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 8 2016 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 8 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. 16 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. 6 2015 A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098 Khoromskij, Boris N.; Repin, Sergey I. 5 2015 Estimates of the distance to the set of divergence free fields. Zbl 1331.35063 Repin, S. 4 2015 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158 Repin, Sergey 3 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 Interpolation of functions based on poincare type inequalities for functions with zero mean boundary traces. Zbl 1312.41009 Repin, Sergej I. 1 2015 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106 Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 29 2014 Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244 Matculevich, S.; Repin, S. 8 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. 16 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 Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167 Repin, S. I. 7 2012 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 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. 4 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. 3 2011 Estimates of dimension reduction errors for stationary reaction-diffusion problems. Zbl 1228.35245 Repin, S.; Samrowski, T. 2 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 Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems. Zbl 1282.74011 Mali, O.; Repin, S. 1 2011 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164 Neittaanmäki, P.; Repin, S. 6 2010 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 approximations of evolutionary convection-diffusion problems. Zbl 1304.35324 Repin, S. I.; Tomar, S. K. 5 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 approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100 Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J. 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 Estimates of the modeling error for the Kirchhoff-Love plate model. Zbl 1426.74203 Repin, Sergey; Sauter, Stefan A. 1 2010 Two-sided estimates of the solution set for the reaction-diffusion problem with uncertain data. Zbl 1186.65144 Mali, Olli; Repin, Sergey 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. 9 2009 Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202 Repin, Sergey I.; Valdman, Jan 7 2009 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015 Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 4 2009 A posteriori error estimates for finite volume approximations. Zbl 1163.65074 Cochez-Dhondt, S.; Nicaise, S.; Repin, S. 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 Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality. Zbl 1205.35130 Repin, S. I. 3 2009 Two-sided a posteriori estimates for a generalized Stokes problem. Zbl 1315.35175 Repin, S.; Stenberg, R. 2 2009 Computable error indicators for approximate solutions of elliptic problems. Zbl 1169.65086 Neittaanmäki, P.; Repin, S. 1 2009 Estimates of deviations from exact solutions of initial boundary value problems for the wave equation. Zbl 1206.35160 Repin, S. 1 2009 A posteriori estimates for partial differential equations. Zbl 1162.65001 Repin, Sergey 165 2008 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054 Repin, S.; Valdman, J. 9 2008 Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372 Repin, S. 3 2008 On a posteriori error estimates for the stationary Navier-Stokes problem. Zbl 1202.35162 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 Estimates of the indeterminacy set for elliptic boundary value problems with uncertain data. Zbl 1202.35075 Maly, O.; Repin, S. 1 2008 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 16 2007 A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150 Repin, S.; Stenberg, R. 11 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. 6 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. 4 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 2 2007 A posteriori error estimates for viscous flow problems with rotation. Zbl 1202.35171 Gorshkova, E.; Mahalov, A.; Neittaanmäki, P.; Repin, S. 1 2007 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093 Repin, Sergey; Sauter, Stefan 23 2006 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049 Fuchs, M.; Repin, S. 12 2006 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344 Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 6 2006 Estimates of the deviation from the minimizer for variational problems with power growth functionals. Zbl 1136.35042 Bildhauer, M.; Repin, S. I. 4 2006 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114 Kuznetsov, Yu.; Repin, S. 16 2005 Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461 Repin, S. 8 2005 A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075 Gaevskaya, A. V.; Repin, S. I. 7 2005 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 543 Authors 93 Repin, Sergeĭ Igorevich 30 Vohralík, Martin 15 Sauter, Stefan 14 Langer, Ulrich 13 Valdman, Jan 12 Hoppe, Ronald H. W. 10 Sysala, Stanislav 8 Carstensen, Carsten 8 Chetverushkin, Boris Nikolaevich 8 Ern, Alexandre 8 Lipnikov, Konstantin N. 8 Manzini, Gianmarco 8 Pauly, Dirk 7 Alekseev, Aleksey K. 7 Haslinger, Jaroslav 7 Korotov, Sergey 7 Matculevich, Svetlana 7 Merdon, Christian 7 Tomar, Satyendra K. 7 Vejchodský, Tomáš 6 Bartels, Sören 6 Beirão da Veiga, Lourenço 6 Bondarev, A. E. 6 Brezzi, Franco 6 Shashkov, Mikhail J. 6 Wick, Thomas 6 Wolfmayr, Monika 5 Anjam, Immanuel 5 Čermák, Martin 5 Chen, Shaochun 5 Fuchs, Martin 5 Hintermüller, Michael 5 Huang, Qiumei 5 Kuznetsov, Yurii Alekseevich 5 Marini, Luisa Donatella 5 Neittaanmäki, Pekka J. 5 Smolianski, Anton 5 Xu, Fei 5 Yousef, Soleiman 5 Zhao, Jikun 4 Ainsworth, Mark 4 Ben Gharbia, Ibtihel 4 Braess, Dietrich 4 Chetverushkin, B. N. 4 Frolov, M. E. 4 Gatica, Gabriel N. 4 Korneev, Vadim Glebovich 4 Mali, Olli 4 Manohar, Ram P. 4 Matus, Pëtr Paŭlavich 4 Nicaise, Serge 4 Ol’khovskaya, O. G. 4 Russo, Alessandro 4 Samrowski, Tatiana S. 4 Wheeler, Mary Fanett 3 Achchab, Boujemaa 3 Agouzal, Abdellatif 3 Apushkinskaya, Darya E. 3 Cheng, Hanz Martin C. 3 Creusé, Emmanuel 3 Di Pietro, Daniele Antonio 3 Droniou, Jérôme 3 Endtmayer, Bernhard 3 Gasilov, Vladimir A. 3 Georgoulis, Emmanuil H. 3 Hannukainen, Antti 3 Hu, Xiaozhe 3 Huang, Pengzhan 3 Kraus, Johannes K. 3 Kuzmin, Dmitri 3 Lazarov, Raytcho D. 3 Nakov, Svetoslav 3 Neff, Patrizio 3 Nordbotten, Jan Martin 3 Reddy, B. Dayanand 3 Rüter, Marcus Olavi 3 Schöberl, Joachim 3 Schwab, Christoph 3 Segeth, Karel 3 Sinha, Rajen Kumar 3 Stein, Erwin 3 Stenberg, Rolf 3 Tishkin, Vladimir Fëdorovich 3 Wohlmuth, Barbara I. 3 Yotov, Ivan 3 Zhang, Bei 2 Arakelyan, Avetik 2 Babadjian, Jean-François 2 Bertrand, Fleurianne 2 Bi, Chunjia 2 Bildhauer, Michael 2 Bordas, Stéphane Pierre Alain 2 Bostan, Viorel 2 Bouihat, Khalid 2 Buffa, Annalisa 2 Cai, Zhiqiang 2 Cangiani, Andrea 2 Chambolle, Antonin 2 Christiansen, Snorre Harald 2 Codecasa, Lorenzo ...and 443 more Authors all top 5 Cited in 100 Serials 33 Journal of Mathematical Sciences (New York) 29 Computer Methods in Applied Mechanics and Engineering 26 Journal of Computational and Applied Mathematics 23 Computers & Mathematics with Applications 19 Computational Methods in Applied Mathematics 18 Numerische Mathematik 14 Mathematics of Computation 14 SIAM Journal on Numerical Analysis 12 Computational Mathematics and Mathematical Physics 11 Applied Numerical Mathematics 11 Journal of Scientific Computing 10 Journal of Computational Physics 10 SIAM Journal on Scientific Computing 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 M\(^3\)AS. 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