Edit Profile (opens in new tab) Repin, Sergeĭ Igorevich Compute Distance To: Compute 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: 182 Publications since 1984, including 4 Books 13 Contributions as Editor Co-Authors: 62 Co-Authors with 132 Joint Publications 1,544 Co-Co-Authors all top 5 Co-Authors 60 single-authored 25 Neittaanmäki, Pekka J. 16 Sauter, Stefan A. 9 Seregin, Gregory A. 8 Fuchs, Martin 8 Mali, Olli 8 Smolianski, Anton 7 Langer, Ulrich 6 Haslinger, Jaroslav 6 Matculevich, Svetlana 6 Samrowski, Tatiana S. 6 Sysala, Stanislav 6 Valdman, Jan 5 Bildhauer, Michael 5 Frolov, M. E. 5 Pauly, Dirk 4 Anjam, Immanuel 4 Kuznetsov, Yurii Alekseevich 4 Muzalevsky, A. V. 4 Tomar, Satyendra K. 4 Ural’tseva, Nina Nikolaevna 3 Apushkinskaya, Darya E. 3 Nokka, Marjaana 2 Gorshkova, Elena 2 Hoppe, Ronald H. W. 2 Khoromskiĭ, Boris Nikolaevich 2 Korotov, Sergey 2 Kraus, Johannes K. 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 40 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 Zapiski Nauchnykh Seminarov POMI 4 Computational Mathematics and Mathematical Physics 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 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 all top 5 Fields 123 Numerical analysis (65-XX) 119 Partial differential equations (35-XX) 49 Mechanics of deformable solids (74-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 21 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) 2 History and biography (01-XX) 2 Operator theory (47-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 131 Publications have been cited 969 times in 402 Documents Cited by ▼ Year ▼ A posteriori estimates for partial differential equations. Zbl 1162.65001Repin, Sergey 138 2008 Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093Neittaanmäki, Pekka; Repin, Sergey 74 2004 A posteriori error estimation for variational problems with uniformly convex functionals. Zbl 0949.65070Repin, Sergey I. 69 2000 New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113Kuznetsov, Yu.; Repin, S. 37 2003 A posteriori error estimation for nonlinear variational problems by duality theory. Zbl 0904.65064Repin, S. I. 32 1997 Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation. Zbl 1221.65244Repin, Sergey 22 2002 A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Zbl 1128.35319Repin, S.; Sauter, S.; Smolianski, A. 22 2003 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, Sergey; Sauter, Stefan 20 2006 Two-sided estimates of deviation from exact solutions of uniformly elliptic equations. Zbl 1039.65076Repin, S. I. 18 2001 A posteriori estimates for the Stokes problem. Zbl 0978.35042Repin, S. I. 18 1999 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 18 2014 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114Kuznetsov, Yu.; Repin, S. 15 2005 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048Repin, Sergey; Sauter, Stefan; Smolianski, Anton 13 2007 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 1277.35033Repin, S. I.; Chetverushkin, B. N. 13 2013 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 13 2015 Errors of finite element method for perfectly elasto-plastic problems. Zbl 0856.73071Repin, Sergey I. 12 1996 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049Fuchs, M.; Repin, S. 11 2006 A posteriori error estimation for elasto-plastic problems based on duality theory. Zbl 0886.73082Repin, Sergey I.; Xanthis, Leonidas S. 11 1996 A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150Repin, S.; Stenberg, R. 10 2007 Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079Repin, S.; Seregin, G. 10 1995 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 9 2004 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054Repin, S.; Valdman, J. 9 2008 Estimates of deviations from exact solutions of elliptic variational inequalities. Zbl 1118.35320Repin, S. I. 8 2000 Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. Zbl 1234.65039Repin, Sergey I.; Tomar, Satyendra K. 8 2011 Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244Matculevich, S.; Repin, S. 8 2014 A posteriori error estimates for approximate solutions to variational problems with strongly convex functionals. Zbl 0941.65059Repin, S. I. 8 1997 Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142Matculevich, Svetlana; Repin, Sergey 8 2016 Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control. Zbl 1327.65221Repin, Sergey 8 2015 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Zbl 1163.65077Tomar, S. K.; Repin, S. I. 7 2009 Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202Repin, Sergey I.; Valdman, Jan 7 2009 Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532Repin, S.; Seregin, G. 7 1995 A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075Gaevskaya, A. V.; Repin, S. I. 7 2005 A posteriori error estimates for boundary-value problems related to the biharmonic operator. Zbl 0986.65101Neittaanmäki, P.; Repin, S. I. 7 2001 Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A. 7 2012 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 7 2016 Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145Neittaanmäki, Pekka; Repin, Sergey 6 2010 A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 6 2015 Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. Zbl 1413.49038Haslinger, 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 1381.74030Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav 6 2016 Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069Khoromskij, Boris; Repin, Sergey 5 2017 Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. Zbl 1357.76062Fuchs, M.; Repin, S. 5 2010 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164Neittaanmäki, P.; Repin, S. 5 2010 A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076Fuchs, M.; Repin, S. 5 2011 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 5 2007 Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167Repin, S. I. 5 2012 A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007Bildhauer, M.; Fuchs, M.; Repin, S. 5 2007 A posteriori error estimates for approximations of evolutionary convection-diffusion problems. Zbl 1304.35324Repin, S. I.; Tomar, S. K. 5 2010 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 5 2006 A posteriori error estimates for two-phase obstacle problem. Zbl 1322.35040Repin, S.; Valdman, J. 5 2015 Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114Kuznetsov, Yuri; Repin, Sergey 5 2004 A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098Khoromskij, Boris N.; Repin, Sergey I. 5 2015 A posteriori error estimates for approximate solutions of variational problems with functionals of power growth. Zbl 0961.49016Repin, S. I. 4 1997 A variational-difference method for solving problems with functionals of linear growth. Zbl 0695.65044Repin, S. I. 4 1989 Numerical analysis of nonsmooth variational problems of perfect plasticity. Zbl 0820.73079Repin, S. I. 4 1994 On two-sided error estimates for approximate solutions of problems in the linear theory of elasticity. Zbl 1027.74070Muzalevsky, A. V.; Repin, S. I. 4 2003 Estimates of deviations from the exact solution of a generalized Oseen problem. Zbl 1300.35082Repin, S. I. 4 2013 A posteriori estimates of the accuracy of variational methods for problems with nonconvex functionals. Zbl 0964.49009Repin, S. I. 4 1999 On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. Zbl 1269.65110Anjam, I.; Nokka, M.; Repin, S. I. 4 2012 Computable majorants of the limit load in Hencky’s plasticity problems. Zbl 1458.74022Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav 4 2018 Two-sided a posteriori error bounds for electro-magnetostatic problems. Zbl 1288.35461Pauly, D.; Repin, S. 4 2010 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 Estimates of the distance to the set of divergence free fields. Zbl 1331.35063Repin, S. 4 2015 The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033Bildhauer, M.; Fuchs, M.; Repin, S. 3 2009 Functional a posteriori estimates for Maxwell’s equation. Zbl 1202.35316Repin, S. 3 2007 On a posteriori error estimates for the stationary Navier-Stokes problem. Zbl 1202.35162Repin, S. 3 2008 Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality. Zbl 1205.35130Repin, S. I. 3 2009 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 3 2020 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299Repin, Sergey; Sauter, Stefan 3 2010 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 3 2009 Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461Repin, S. 3 2005 Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372Repin, S. 3 2008 On measures of errors for nonlinear variational problems. Zbl 1276.65036Repin, S. I. 3 2012 Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158Repin, 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 1361.65068Matculevich, S. V.; Repin, S. I. 3 2016 Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144Kuznetsov, Yu. A.; Repin, S. I. 3 2013 A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J. 3 2010 A posteriori error estimates for boundary value problems with obstacles. Zbl 0968.65041Buss, Hinderk M.; Repin, Sergey I. 2 2000 Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. 2 2020 Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 2 2019 Local a posteriori estimates for the Stokes problem. Zbl 1083.35117Repin, S. I. 2 2004 A posteriori error estimates for approximate solutions to boundary problem of elliptic equations. Zbl 1116.65324Repin, S. I.; Frolov, M. E. 2 2002 Functional-type a posteriori error estimates for mixed finite element methods. Zbl 1086.65103Repin, S. I.; Smolianski, A. 2 2005 Estimates of dimension reduction errors for stationary reaction-diffusion problems. Zbl 1228.35245Repin, S.; Samrowski, T. 2 2011 Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231Apushkinskaya, Darya E.; Repin, Sergey I. 2 2018 Two-sided a posteriori estimates for a generalized Stokes problem. Zbl 1315.35175Repin, S.; Stenberg, R. 2 2009 A priori error estimates of variational-difference methods for problems of Hencky plasticity. Zbl 0894.73228Repin, S. I. 2 1995 A posteriori error estimation for nonlinear variational problems. Zbl 0877.65045Repin, Sergey I.; Xanthis, Leonidas S. 2 1997 A priori error estimates of variational-difference methods for Hencky plasticity problems. Zbl 0927.74080Repin, S. I. 2 1995 Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity. Zbl 1273.35266Repin, S.; Frolov, M. E. 2 2012 Variational formulations for discontinuous displacement fields in problems of the deformation theory of plasticity without hardening. Zbl 0818.73078Repin, S. I. 2 1991 Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Zbl 1151.65057Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2008 Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I. 2 2005 A functional type a posteriori error analysis for the Ramberg-Osgood model. Zbl 1128.74006Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2007 Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107Neittaanmäki, 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 1281.65145Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A. 2 2013 A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391Weymuth, Monika; Sauter, Stefan; Repin, Sergey 1 2017 Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Zbl 1482.76100Repin, S. 1 2018 Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Zbl 07351749Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey 1 2021 Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications. Zbl 1493.65228Repin, S. I. 1 2021 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 3 2020 Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. 2 2020 Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. Zbl 1454.35182Apushkinskaya, D. E.; Repin, S. I. 1 2020 Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey 1 2020 Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 2 2019 Inf-sup conditions on convex cones and applications to limit load analysis. Zbl 07273369Haslinger, Jaroslav; Sysala, Stanislav; Repin, Sergey 1 2019 Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Zbl 1443.65185Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 1 2019 Computable majorants of the limit load in Hencky’s plasticity problems. Zbl 1458.74022Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav 4 2018 Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231Apushkinskaya, Darya E.; Repin, Sergey I. 2 2018 Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Zbl 1482.76100Repin, S. 1 2018 Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069Khoromskij, Boris; Repin, Sergey 5 2017 A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391Weymuth, Monika; Sauter, Stefan; Repin, Sergey 1 2017 On variational representations of the constant in the inf-sup condition for the Stokes problem. Zbl 1392.35237Repin, S. 1 2017 Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates. Zbl 1337.65142Matculevich, Svetlana; Repin, Sergey 8 2016 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 7 2016 Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. Zbl 1413.49038Haslinger, 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 1381.74030Haslinger, 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 1361.65068Matculevich, S. V.; Repin, S. I. 3 2016 Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan 1 2016 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 13 2015 Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control. Zbl 1327.65221Repin, Sergey 8 2015 A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality. Zbl 1334.35126Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 6 2015 A posteriori error estimates for two-phase obstacle problem. Zbl 1322.35040Repin, S.; Valdman, J. 5 2015 A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098Khoromskij, Boris N.; Repin, Sergey I. 5 2015 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 Estimates of the distance to the set of divergence free fields. Zbl 1331.35063Repin, S. 4 2015 Estimates of constants in boundary-mean trace inequalities and applications to error analysis. Zbl 1320.65158Repin, Sergey 3 2015 Interpolation of functions based on poincare type inequalities for functions with zero mean boundary traces. Zbl 1312.41009Repin, Sergej I. 1 2015 Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities. Zbl 1331.35186Matculevich, S.; Repin, S. 1 2015 Accuracy verification methods. Theory and algorithms. Zbl 1364.65106Mali, Olli; Neittaanmäki, Pekka; Repin, Sergey 18 2014 Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Zbl 1338.35244Matculevich, S.; Repin, S. 8 2014 A posteriori error bounds for approximations of the Oseen problem and applications to the Uzawa iteration algorithm. Zbl 1299.76148Nokka, 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 1277.35033Repin, S. I.; Chetverushkin, B. N. 13 2013 Estimates of deviations from the exact solution of a generalized Oseen problem. Zbl 1300.35082Repin, S. I. 4 2013 Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144Kuznetsov, Yu. A.; Repin, S. I. 3 2013 Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. Zbl 1282.74107Neittaanmäki, 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 1281.65145Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A. 2 2013 On quantitative analysis of an ill-posed elliptic problem with Cauchy boundary conditions. Zbl 1267.65170Repin, Sergey; Rossi, Tuomo 1 2013 Guaranteed error bounds for a class of Picard-Lindelöf iteration methods. Zbl 1267.65083Matculevich, Svetlana; Neittaanmäki, Pekka; Repin, Sergey 1 2013 Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A. 7 2012 Computable majorants of constants in the Poincaré and Friedrichs inequalities. Zbl 1278.35167Repin, S. I. 5 2012 On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. Zbl 1269.65110Anjam, I.; Nokka, M.; Repin, S. I. 4 2012 On measures of errors for nonlinear variational problems. Zbl 1276.65036Repin, S. I. 3 2012 Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity. Zbl 1273.35266Repin, S.; Frolov, M. E. 2 2012 Estimates of deviations from the exact solution of the Stokes problem in the vorticity-velocity-pressure formulation. Zbl 1278.35179Mikhaylov, A.; Repin, S. 1 2012 Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. Zbl 1234.65039Repin, Sergey I.; Tomar, Satyendra K. 8 2011 A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076Fuchs, M.; Repin, S. 5 2011 Estimates of dimension reduction errors for stationary reaction-diffusion problems. Zbl 1228.35245Repin, S.; Samrowski, T. 2 2011 Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems. Zbl 1282.74011Mali, O.; Repin, S. 1 2011 Estimates for deviations from exact solutions of the Cauchy problem for Maxwell’s equations. Zbl 1232.78014Pauly, Dirk; Repin, Sergey; Rossi, Tuomo 1 2011 Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient. Zbl 1305.74038Fuchs, M.; Repin, S. 1 2011 Guaranteed error bounds for conforming approximations of a Maxwell type problem. Zbl 1186.65145Neittaanmäki, 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 1357.76062Fuchs, M.; Repin, S. 5 2010 A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164Neittaanmäki, P.; Repin, S. 5 2010 A posteriori error estimates for approximations of evolutionary convection-diffusion problems. Zbl 1304.35324Repin, S. I.; Tomar, S. K. 5 2010 Two-sided a posteriori error bounds for electro-magnetostatic problems. Zbl 1288.35461Pauly, D.; Repin, S. 4 2010 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299Repin, Sergey; Sauter, Stefan 3 2010 A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J. 3 2010 Estimates of the modeling error for the Kirchhoff-Love plate model. Zbl 1426.74203Repin, Sergey; Sauter, Stefan A. 1 2010 Estimates of deviations from exact solutions of variational problems with linear growth functionals. Zbl 1288.35218Repin, S. I. 1 2010 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Zbl 1163.65077Tomar, S. K.; Repin, S. I. 7 2009 Functional a posteriori error estimates for incremental models in elasto-plasticity. Zbl 1269.74202Repin, Sergey I.; Valdman, Jan 7 2009 The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033Bildhauer, M.; Fuchs, M.; Repin, S. 3 2009 Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality. Zbl 1205.35130Repin, S. I. 3 2009 A posteriori error estimates for a Maxwell type problem. Zbl 1196.78015Anjam, I.; Mali, O.; Muzalevsky, A.; Neittaanmäki, P.; Repin, S. 3 2009 Two-sided a posteriori estimates for a generalized Stokes problem. Zbl 1315.35175Repin, S.; Stenberg, R. 2 2009 A posteriori error estimates for finite volume approximations. Zbl 1163.65074Cochez-Dhondt, S.; Nicaise, S.; Repin, S. 1 2009 Estimates of deviations from exact solutions of initial boundary value problems for the wave equation. Zbl 1206.35160Repin, S. 1 2009 Computable error indicators for approximate solutions of elliptic problems. Zbl 1169.65086Neittaanmäki, P.; Repin, S. 1 2009 A posteriori estimates for partial differential equations. Zbl 1162.65001Repin, Sergey 138 2008 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054Repin, S.; Valdman, J. 9 2008 On a posteriori error estimates for the stationary Navier-Stokes problem. Zbl 1202.35162Repin, S. 3 2008 Advanced forms of functional a posteriori error estimates for elliptic problems. Zbl 1154.65372Repin, S. 3 2008 Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Zbl 1151.65057Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2008 New a posteriori error indicator in terms of linear functionals for linear elliptic problems. Zbl 1136.65103Neittaanmäki, P.; Repin, S.; Turchyn, P. 1 2008 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048Repin, Sergey; Sauter, Stefan; Smolianski, Anton 13 2007 A posteriori error estimates for the generalized Stokes problem. Zbl 1202.65150Repin, S.; Stenberg, R. 10 2007 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 5 2007 A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007Bildhauer, M.; Fuchs, M.; Repin, S. 5 2007 Functional a posteriori estimates for Maxwell’s equation. Zbl 1202.35316Repin, S. 3 2007 A functional type a posteriori error analysis for the Ramberg-Osgood model. Zbl 1128.74006Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2007 A posteriori error estimation methods for partial differential equations. Zbl 1132.65101Repin, Sergey 1 2007 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, Sergey; Sauter, Stefan 20 2006 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049Fuchs, M.; Repin, S. 11 2006 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 5 2006 Estimates of the deviation from the minimizer for variational problems with power growth functionals. Zbl 1136.35042Bildhauer, M.; Repin, S. I. 1 2006 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114Kuznetsov, Yu.; Repin, S. 15 2005 A posteriori error estimates for approximate solutions of linear parabolic problems. Zbl 1099.65075Gaevskaya, A. V.; Repin, S. I. 7 2005 Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. Zbl 1174.35461Repin, S. 3 2005 Functional-type a posteriori error estimates for mixed finite element methods. Zbl 1086.65103Repin, S. I.; Smolianski, A. 2 2005 Guaranteed functional error estimates for the Reissner-Mindlin plate problem. Zbl 1125.74028Frolov, M. E.; Neittaanmäki, Pekka; Repin, S. I. 2 2005 Error estimates for approximate solutions of problems of the linear thermoelasticity theory. Zbl 1162.74017Muzalevskii, A. V.; Repin, S. I. 1 2005 Reliable methods for computer simulation. Error control and a posteriori estimates. Zbl 1076.65093Neittaanmäki, Pekka; Repin, Sergey 74 2004 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 9 2004 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114Kuznetsov, Yuri; Repin, Sergey 5 2004 Local a posteriori estimates for the Stokes problem. Zbl 1083.35117Repin, S. I. 2 2004 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 469 Authors 85 Repin, Sergeĭ Igorevich 26 Vohralík, Martin 15 Sauter, Stefan A. 13 Langer, Ulrich 12 Valdman, Jan 9 Hoppe, Ronald H. W. 8 Chetverushkin, Boris Nikolaevich 8 Lipnikov, Konstantin N. 8 Manzini, Gianmarco 8 Pauly, Dirk 8 Sysala, Stanislav 7 Carstensen, Carsten 7 Ern, Alexandre 7 Haslinger, Jaroslav 7 Korotov, Sergey 7 Tomar, Satyendra K. 7 Vejchodský, Tomáš 6 Beirão da Veiga, Lourenço 6 Brezzi, Franco 6 Matculevich, Svetlana 6 Merdon, Christian 6 Shashkov, Mikhail J. 6 Wolfmayr, Monika 5 Alekseev, Aleksey K. 5 Anjam, Immanuel 5 Bartels, Sören 5 Chen, Shaochun 5 Fuchs, Martin 5 Kuznetsov, Yurii Alekseevich 5 Marini, Luisa Donatella 5 Smolianski, Anton 5 Wick, Thomas 5 Zhao, Jikun 5 Zikatanov, Ludmil T. 4 Ainsworth, Mark 4 Bondarev, A. E. 4 Braess, Dietrich 4 Frolov, M. E. 4 Gatica, Gabriel N. 4 Huang, Qiumei 4 Korneev, Vadim Glebovich 4 Russo, Alessandro 4 Samrowski, Tatiana S. 4 Yousef, Soleiman 3 Achchab, Boujemaa 3 Agouzal, Abdellatif 3 Apushkinskaya, Darya 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 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 Schwab, Christoph 3 Sinha, Rajen Kumar 3 Stenberg, Rolf 3 Tishkin, Vladimir Fëdorovich 3 Wheeler, Mary Fanett 3 Wohlmuth, Barbara I. 3 Yotov, Ivan 3 Zhang, Bei 2 Arakelyan, Avetik 2 Babadjian, Jean-François 2 Ben Gharbia, Ibtihel 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 Guo, Hailong 2 Gyrya, Vitaliy T. 2 Hannukainen, Antti 2 Harasim, Petr 2 Hieu, Le Minh ...and 369 more Authors all top 5 Cited in 94 Serials 32 Journal of Mathematical Sciences (New York) 24 Computer Methods in Applied Mechanics and Engineering 23 Journal of Computational and Applied Mathematics 21 Computers & Mathematics with Applications 18 Numerische Mathematik 17 Computational Methods in Applied Mathematics 12 Mathematics of Computation 12 SIAM Journal on Numerical Analysis 11 Journal of Scientific Computing 10 Journal of Computational Physics 9 Applied Numerical Mathematics 9 M\(^3\)AS. 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(English Edition) 1 Communications on Applied Mathematics and Computation all top 5 Cited in 32 Fields 312 Numerical analysis (65-XX) 211 Partial differential equations (35-XX) 71 Fluid mechanics (76-XX) 67 Mechanics of deformable solids (74-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 11 Functional analysis (46-XX) 6 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year