A posteriori error estimation for variational problems with uniformly convex functionals. - Sergey I. Repin (Math. Comput., 2000)

A posteriori error estimates for boundary-value problems related to the biharmonic operator. - Pekka Neittaanmäki; Sergey I. Repin (J. Num. Math., 2001)

A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions. - Sergey I. Repin; Stefan A. Sauter; Anton Smolianski (Computing, 2003)

A posteriori error estimation of goal-oriented quantities by the superconvergence patch recovery. - Sergey Korotov; Pekka Neittaanmäki; Sergey I. Repin (J. Num. Math., 2003)

A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains. - Sergey I. Repin; Stefan A. Sauter; Anton Smolianski (SIAM J. Numer. Anal., 2004)

Convergence analysis and error estimates for mixed finite element method on distorted meshes. - Yuri A. Kuznetsov; Sergey I. Repin (J. Num. Math., 2005)

Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems. - Sergey I. Repin; Stefan A. Sauter; Anton Smolianski (SIAM J. Numer. Anal., 2007)

Functional a posteriori error estimates for problems with nonlinear boundary conditions. - Sergey I. Repin; Jan Valdman (J. Num. Math., 2008)

A Posteriori Error Estimates for Approximate Solutions of the Barenblatt-Biot Poroelastic Model. - Jan M. Nordbotten; Talal Rahman; Sergey I. Repin; Jan Valdman (Comput. Methods Appl. Math., 2010)

A posteriori error majorants for approximations of the evolutionary Stokes problem. - Pekka Neittaanmäki; Sergey I. Repin (J. Num. Math., 2010)

Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis. - Sergey I. Repin (ENUMATH, 2013)

Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. - Yuri A. Kuznetsov; Sergey I. Repin (J. Num. Math., 2013)

A Unified Approach to Measuring Accuracy of Error Indicators. - Immanuel Anjam; Olli Mali; Pekka Neittaanmäki; Sergey I. Repin (Modeling, Simulation and Optimization for Science and Technology, 2014)

Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. - Svetlana Matculevich; Sergey I. Repin (Appl. Math. Comput., 2014)

A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications to the Uzawa Iteration Algorithm. - Marjaana Nokka; Sergey I. Repin (Comput. Methods Appl. Math., 2014)

Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems. - Ulrich Langer; Sergey I. Repin; Monika Wolfmayr (Comput. Methods Appl. Math., 2015)

Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control. - Sergey I. Repin (Comput. Methods Appl. Math., 2015)

Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori Estimates. - Svetlana Matculevich; Sergey I. Repin (Comput. Methods Appl. Math., 2016)

A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting. - Jaroslav Haslinger; Sergey I. Repin; Stanislav Sysala (J. Comput. Appl. Math., 2016)

Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. - Sergey I. Repin; Tatiana Samrowski; Stefan A. Sauter (J. Num. Math., 2016)

Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems. - Ulrich Langer; Svetlana Matculevich; Sergey I. Repin (LSSC, 2017)

Verifications of Primal Energy Identities for Variational Problems with Obstacles. - Sergey I. Repin; Jan Valdman (LSSC, 2017)

Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems. - Boris N. Khoromskij; Sergey I. Repin (Comput. Methods Appl. Math., 2017)

One Hundred Years of the Galerkin Method. - Sergey I. Repin (Comput. Methods Appl. Math., 2017)

A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L ∞-Coefficients. - Monika Weymuth; Stefan A. Sauter; Sergey I. Repin (Comput. Methods Appl. Math., 2017)

Guaranteed error control bounds for the stabilised space-time IgA approximations to parabolic problems. - Ulrich Langer; Svetlana Matculevich; Sergey I. Repin (CoRR, 2017)

Computable majorants of the limit load in Hencky's plasticity problems. - Sergey I. Repin; Stanislav Sysala; Jaroslav Haslinger (Comput. Math. Appl., 2018)

Localized forms of the LBB condition and a posteriori estimates for incompressible media problems. - Sergey I. Repin (Math. Comput. Simul., 2018)

Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. - Ulrich Langer; Svetlana Matculevich; Sergey I. Repin (Comput. Math. Appl., 2019)

Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson-Boltzmann Equation. - Johannes Kraus 001; Svetoslav Nakov; Sergey I. Repin (Comput. Methods Appl. Math., 2020)

Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson-Boltzmann Equation. - Johannes Kraus 001; Svetoslav Nakov; Sergey I. Repin (Comput. Methods Appl. Math., 2020)

Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. - Kundan Kumar 001; Svetlana Kyas; Jan Martin Nordbotten; Sergey I. Repin (Comput. Math. Appl., 2021)

Reliable Methods of Mathematical Modeling. - Dirk Praetorius; Sergey I. Repin; Stefan A. Sauter (Comput. Methods Appl. Math., 2021)

A posteriori error estimates for domain decomposition methods. - Johannes K. Kraus; Sergey I. Repin (CoRR, 2021)

Functional a posteriori error estimates for boundary element methods. - Stefan Kurz; Dirk Pauly; Dirk Praetorius; Sergey I. Repin; Daniel Sebastian (Numerische Mathematik, 2021)

Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem. - Darya E. Apushkinskaya; Sergey I. Repin (Comput. Methods Appl. Math., 2022)

Error Identities for Parabolic Equations with Monotone Spatial Operators. - Sergey I. Repin (Comput. Methods Appl. Math., 2024)