Sergey I. Repin

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 21

Top Topics

Decomposition Methods

Error Estimates

Boundary Value Problem

Top Venues

Comput. Methods Appl. Math.

Comput. Math. Appl.

Publications

Sergey I. Repin
Error Identities for Parabolic Equations with Monotone Spatial Operators. Comput. Methods Appl. Math. 24 (3) (2024)
Darya E. Apushkinskaya, Sergey I. Repin
Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem. Comput. Methods Appl. Math. 22 (2) (2022)
Johannes K. Kraus, Sergey I. Repin
A posteriori error estimates for domain decomposition methods. CoRR (2021)
Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
Functional a posteriori error estimates for boundary element methods. Numerische Mathematik 147 (4) (2021)
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 (2021)
Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter
Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. 21 (2) (2021)
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) (2020)
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) (2020)
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) (2019)
Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
Functional a posteriori error estimates for boundary element methods. CoRR (2019)
Sergey I. Repin
Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. Math. Comput. Simul. 145 (2018)
Sergey I. Repin, Stanislav Sysala, Jaroslav Haslinger
Computable majorants of the limit load in Hencky's plasticity problems. Comput. Math. Appl. 75 (1) (2018)
Boris N. Khoromskij, Sergey I. Repin
Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems. Comput. Methods Appl. Math. 17 (3) (2017)
Ulrich Langer, Svetlana Matculevich, Sergey I. Repin
Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems. LSSC (2017)
Ulrich Langer, Svetlana Matculevich, Sergey I. Repin
Guaranteed error control bounds for the stabilised space-time IgA approximations to parabolic problems. CoRR (2017)
Sergey I. Repin, Jan Valdman
Verifications of Primal Energy Identities for Variational Problems with Obstacles. LSSC (2017)
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) (2017)
Sergey I. Repin
One Hundred Years of the Galerkin Method. Comput. Methods Appl. Math. 17 (3) (2017)
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) (2016)
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) (2016)
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 (2016)
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) (2015)
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) (2015)
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) (2014)
Svetlana Matculevich, Sergey I. Repin
Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. Appl. Math. Comput. 247 (2014)
Sergey I. Repin
Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis. ENUMATH (2013)
Yuri A. Kuznetsov, Sergey I. Repin
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. J. Num. Math. 21 (2) (2013)
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) (2010)
Pekka Neittaanmäki, Sergey I. Repin
error majorants for approximations of the evolutionary Stokes problem. J. Num. Math. 18 (2) (2010)
Sergey I. Repin, Jan Valdman
error estimates for problems with nonlinear boundary conditions. J. Num. Math. 16 (1) (2008)
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) (2007)
Yuri A. Kuznetsov, Sergey I. Repin
Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Num. Math. 13 (1) (2005)
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) (2004)
Sergey Korotov, Pekka Neittaanmäki, Sergey I. Repin
error estimation of goal-oriented quantities by the superconvergence patch recovery. J. Num. Math. 11 (1) (2003)
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) (2003)
Pekka Neittaanmäki, Sergey I. Repin
error estimates for boundary-value problems related to the biharmonic operator. J. Num. Math. 9 (2) (2001)
Sergey I. Repin
A posteriori error estimation for variational problems with uniformly convex functionals. Math. Comput. 69 (230) (2000)