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Sergey I. Repin
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2020 – today
- 2024
- [j31]Sergey I. Repin:
Error Identities for Parabolic Equations with Monotone Spatial Operators. Comput. Methods Appl. Math. 24(3): 777-796 (2024) - 2022
- [j30]Darya E. Apushkinskaya, Sergey I. Repin:
Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem. Comput. Methods Appl. Math. 22(2): 259-276 (2022) - 2021
- [j29]Kundan Kumar, Svetlana Kyas, Jan Martin Nordbotten, Sergey I. Repin:
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Comput. Math. Appl. 91: 122-149 (2021) - [j28]Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter:
Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. 21(2): 263-266 (2021) - [j27]Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian:
Functional a posteriori error estimates for boundary element methods. Numerische Mathematik 147(4): 937-966 (2021) - [i3]Johannes K. Kraus, Sergey I. Repin:
A posteriori error estimates for domain decomposition methods. CoRR abs/2111.07706 (2021) - 2020
- [j26]Johannes Kraus, Svetoslav Nakov, Sergey I. Repin:
Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson-Boltzmann Equation. Comput. Methods Appl. Math. 20(2): 293-319 (2020) - [j25]Johannes Kraus, Svetoslav Nakov, Sergey I. Repin:
Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson-Boltzmann Equation. Comput. Methods Appl. Math. 20(4): 643-676 (2020)
2010 – 2019
- 2019
- [j24]Ulrich Langer, Svetlana Matculevich, Sergey I. Repin:
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Comput. Math. Appl. 78(8): 2641-2671 (2019) - [i2]Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian:
Functional a posteriori error estimates for boundary element methods. CoRR abs/1912.05789 (2019) - 2018
- [j23]Sergey I. Repin, Stanislav Sysala, Jaroslav Haslinger:
Computable majorants of the limit load in Hencky's plasticity problems. Comput. Math. Appl. 75(1): 199-217 (2018) - [j22]Sergey I. Repin:
Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Math. Comput. Simul. 145: 156-170 (2018) - 2017
- [j21]Sergey I. Repin:
One Hundred Years of the Galerkin Method. Comput. Methods Appl. Math. 17(3): 351 (2017) - [j20]Boris N. Khoromskij, Sergey I. Repin:
Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems. Comput. Methods Appl. Math. 17(3): 457 (2017) - [j19]Monika Weymuth, Stefan A. Sauter, Sergey I. Repin:
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L ∞-Coefficients. Comput. Methods Appl. Math. 17(3): 515 (2017) - [c3]Ulrich Langer, Svetlana Matculevich, Sergey I. Repin:
Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems. LSSC 2017: 55-65 - [c2]Sergey I. Repin, Jan Valdman:
Verifications of Primal Energy Identities for Variational Problems with Obstacles. LSSC 2017: 175-182 - [i1]Ulrich Langer, Svetlana Matculevich, Sergey I. Repin:
Guaranteed error control bounds for the stabilised space-time IgA approximations to parabolic problems. CoRR abs/1712.06017 (2017) - 2016
- [j18]Svetlana Matculevich, Sergey I. Repin:
Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori Estimates. Comput. Methods Appl. Math. 16(2): 277-298 (2016) - [j17]Jaroslav Haslinger, Sergey I. Repin, Stanislav Sysala:
A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting. J. Comput. Appl. Math. 303: 156-170 (2016) - [j16]Sergey I. Repin, Tatiana Samrowski, Stefan A. Sauter:
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. J. Num. Math. 24(1): 1-15 (2016) - 2015
- [j15]Ulrich Langer, Sergey I. Repin, Monika Wolfmayr:
Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems. Comput. Methods Appl. Math. 15(3): 353-372 (2015) - [j14]Sergey I. Repin:
Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control. Comput. Methods Appl. Math. 15(4): 515-530 (2015) - 2014
- [j13]Svetlana Matculevich, Sergey I. Repin:
Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Appl. Math. Comput. 247: 329-347 (2014) - [j12]Marjaana Nokka, Sergey I. Repin:
A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications to the Uzawa Iteration Algorithm. Comput. Methods Appl. Math. 14(3): 373-383 (2014) - [p1]Immanuel Anjam, Olli Mali, Pekka Neittaanmäki, Sergey I. Repin:
A Unified Approach to Measuring Accuracy of Error Indicators. Modeling, Simulation and Optimization for Science and Technology 2014: 1-22 - 2013
- [j11]Yuri A. Kuznetsov, Sergey I. Repin:
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. J. Num. Math. 21(2): 135-156 (2013) - [c1]Sergey I. Repin:
Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis. ENUMATH 2013: 215-223 - 2010
- [j10]Jan M. Nordbotten, Talal Rahman, Sergey I. Repin, Jan Valdman:
A Posteriori Error Estimates for Approximate Solutions of the Barenblatt-Biot Poroelastic Model. Comput. Methods Appl. Math. 10(3): 302-314 (2010) - [j9]Pekka Neittaanmäki, Sergey I. Repin:
A posteriori error majorants for approximations of the evolutionary Stokes problem. J. Num. Math. 18(2): 119-134 (2010)
2000 – 2009
- 2008
- [j8]Sergey I. Repin, Jan Valdman:
Functional a posteriori error estimates for problems with nonlinear boundary conditions. J. Num. Math. 16(1): 51-81 (2008) - 2007
- [j7]Sergey I. Repin, Stefan A. Sauter, Anton Smolianski:
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems. SIAM J. Numer. Anal. 45(3): 928-945 (2007) - 2005
- [j6]Yuri A. Kuznetsov, Sergey I. Repin:
Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Num. Math. 13(1): 33-51 (2005) - 2004
- [j5]Sergey I. Repin, Stefan A. Sauter, Anton Smolianski:
A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains. SIAM J. Numer. Anal. 42(4): 1435-1451 (2004) - 2003
- [j4]Sergey I. Repin, Stefan A. Sauter, Anton Smolianski:
A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions. Computing 70(3): 205-233 (2003) - [j3]Sergey Korotov, Pekka Neittaanmäki, Sergey I. Repin:
A posteriori error estimation of goal-oriented quantities by the superconvergence patch recovery. J. Num. Math. 11(1): 33-59 (2003) - 2001
- [j2]Pekka Neittaanmäki, Sergey I. Repin:
A posteriori error estimates for boundary-value problems related to the biharmonic operator. J. Num. Math. 9(2): 157-178 (2001) - 2000
- [j1]Sergey I. Repin:
A posteriori error estimation for variational problems with uniformly convex functionals. Math. Comput. 69(230): 481-500 (2000)
Coauthor Index
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