Repin Sergey Igorevich

Publications in Math-Net.Ru

1. A posteriori identities for measures of deviation from exact solutions of nonlinear boundary value problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  896–919
2. A posteriori error identities for parabolic convection–diffusion problems
   
   Zap. Nauchn. Sem. POMI, 519 (2022),  205–228
3. Error control for approximate solutions of a class of singularly perturbed boundary value problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1822–1839
4. Error identities for parabolic initial boundary value problems
   
   Zap. Nauchn. Sem. POMI, 508 (2021),  147–172
5. A posteriori error control of approximate solutions to boundary value problems constructed by neural networks
   
   Zap. Nauchn. Sem. POMI, 499 (2021),  77–104
6. Identity for deviations from the exact solution of the problem $\Lambda^*\mathcal{A}\Lambda u+l=0$ and its implications
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  1986–2009
7. Estimates of the distance to the solution of an evolutionary problem obtained by linearization of the Navier–Stokes equation
   
   Zap. Nauchn. Sem. POMI, 489 (2020),  67–80
8. Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1881–1897
9. Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  767–783
10. A posteriori estimates for the stationary Stokes problem in exterior domains
    
    Algebra i Analiz, 31:3 (2019),  184–215
11. On projectors to subspaces of vector valued functions subject to conditions of the divergence free type
    
    Zap. Nauchn. Sem. POMI, 459 (2017),  83–103
12. On variational representations of the constant in the inf sup condition for the Stokes problem
    
    Zap. Nauchn. Sem. POMI, 444 (2016),  110–123
13. Estimates of the distance to the set of divergence free fields
    
    Zap. Nauchn. Sem. POMI, 425 (2014),  99–116
14. Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities
    
    Zap. Nauchn. Sem. POMI, 425 (2014),  7–34
15. Estimates of deviations from exact solution of the generalized Oseen problem
    
    Zap. Nauchn. Sem. POMI, 410 (2013),  110–130
16. Estimates of deviations from exact solution of the Stokes problem in the vorticity-velocity-pressure formulation
    
    Zap. Nauchn. Sem. POMI, 397 (2011),  73–88
17. Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient
    
    Zap. Nauchn. Sem. POMI, 385 (2010),  224–233
18. Estimates of deviations from exact solutions of variational problems with linear growth functionals
    
    Zap. Nauchn. Sem. POMI, 370 (2009),  132–150
19. Two-sided a posteriori error bounds for electro-magneto static problems
    
    Zap. Nauchn. Sem. POMI, 370 (2009),  94–110
20. A posteriori estimates for a generalized Stokes problem
    
    Zap. Nauchn. Sem. POMI, 362 (2008),  272–302
21. Functional a posteriori estimates for elliptic variational inequalities
    
    Zap. Nauchn. Sem. POMI, 348 (2007),  147–164
22. Functional a posteriori error estimates for the reaction-convection-diffusion problem
    
    Zap. Nauchn. Sem. POMI, 348 (2007),  127–146
23. Estimates of the deviation from the minimizer for variational problems with power growth functionals
    
    Zap. Nauchn. Sem. POMI, 336 (2006),  5–24
24. A Posteriori Error Estimates for Approximate Solutions of Linear Parabolic Problems
    
    Differ. Uravn., 41:7 (2005),  925–937
25. On error estimates for approximate solutions in problems of the linear theory of thermoelasticity
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1,  64–72
26. Estimates of deviation from the exact solutions for some boundary-value problems with incompressibilily condition
    
    Algebra i Analiz, 16:5 (2004),  124–161
27. Local a posteriori estimates for the Stokes problem
    
    Zap. Nauchn. Sem. POMI, 318 (2004),  233–245
28. On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  145–157
29. Estimates of deviations for generalized Newtonian fluids
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  178–203
30. A posteriori error estimates for approximate solutions to boundary problem of elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1774–1787
31. Estimates of deviations from exact solutions of elliptic variational inequalities
    
    Zap. Nauchn. Sem. POMI, 271 (2000),  188–203
32. A posteriori estimates for the accuracy of variational methods for problems with nonconvex functionals
    
    Algebra i Analiz, 11:4 (1999),  151–182
33. A posteriori estimates for the Stokes problem
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  195–211
34. A posteriori error estimates for approximate solutions of variational problems with power growtn functionals
    
    Zap. Nauchn. Sem. POMI, 249 (1997),  244–255
35. A posteriori error estimation for nonlinear variational problems by duality theory
    
    Zap. Nauchn. Sem. POMI, 243 (1997),  201–214
36. Numerical modelling of discontinuous solution of perfectly elasto-plastic problems
    
    Matem. Mod., 8:4 (1996),  113–127
37. A priori error estimates of variational-difference methods for Hencky plasticity problems
    
    Zap. Nauchn. Sem. POMI, 221 (1995),  226–234
38. On the approximation of solutions of variational problems in the theory of ideal plasticity
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  60–69
39. Variational formulations for discontinuous displacement fields in problems of ideal plasticity
    
    Dokl. Akad. Nauk SSSR, 320:6 (1991),  1340–1344
40. A variational-difference method of solving problems with functionals of linear growth
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989),  693–708
41. A variational difference method for solving problems of ideal plasticity in which discontinuities may appear
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988),  449–453
42. Minimization of a class of non-differentiable functionals by a relaxation method
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  976–983


43. On the 90th birthday of Vsevolod Alekseevich Solonnikov
    
    Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198
44. Preface
    
    Zap. Nauchn. Sem. POMI, 499 (2021),  5–6
45. To Solonnikov's jubilee
    
    Zap. Nauchn. Sem. POMI, 362 (2008),  5–14
46. To the jubillee of O. A. Ladyzhenskaya
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13