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Repin, Sergey Igorevich
Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 42
Presentations: 5

Number of views:
This page:5317
Abstract pages:11971
Full texts:3337
References:1134
Professor
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 18.07.1953
E-mail: ,
Keywords: partial differential equations; calculus of variations and duality theory; a priori and a posteriori error estimates; mathematical modelling.
   
Main publications:
  • A posteriori error estimates for variational problems with uniformly convex functionals // Math. Comp. 69 (2000) 230, 481–500.
  • A posteriori error estimates for nonlinear variational problems by duality theory // Zapiski Nauchn. Semin. POMI. 243 (1997), 201–214.

https://www.mathnet.ru/eng/person17497
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/228901
https://elibrary.ru/author_items.asp?authorid=8454

Publications in Math-Net.Ru Citations
2023
1. S. I. Repin, “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  mathnet  elib; Comput. Math. Math. Phys., 63:6 (2023), 934–956 2
2022
2. S. Repin, “A posteriori error identities for parabolic convection–diffusion problems”, Zap. Nauchn. Sem. POMI, 519 (2022),  205–228  mathnet
3. S. I. Repin, “Error control for approximate solutions of a class of singularly perturbed boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1822–1839  mathnet  elib; Comput. Math. Math. Phys., 62:11 (2022), 1799–1816 3
2021
4. S. I. Repin, “Error identities for parabolic initial boundary value problems”, Zap. Nauchn. Sem. POMI, 508 (2021),  147–172  mathnet 1
5. A. V. Muzalevsky, S. I. Repin, “A posteriori error control of approximate solutions to boundary value problems constructed by neural networks”, Zap. Nauchn. Sem. POMI, 499 (2021),  77–104  mathnet
6. S. I. Repin, “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  mathnet  elib; Comput. Math. Math. Phys., 61:12 (2021), 1943–1965  isi  scopus 7
2020
7. S. Repin, “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  mathnet
8. D. E. Apushkinskaya, S. I. Repin, “Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1881–1897  mathnet  elib; Comput. Math. Math. Phys., 60:11 (2020), 1823–1838  isi  scopus 4
9. S. I. Repin, “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  mathnet  elib; Comput. Math. Math. Phys., 60:5 (2020), 749–765  isi  scopus 1
2019
10. D. Pauly, S. Repin, “A posteriori estimates for the stationary Stokes problem in exterior domains”, Algebra i Analiz, 31:3 (2019),  184–215  mathnet  elib; St. Petersburg Math. J., 31:3 (2020), 533–555  isi  scopus 1
2017
11. S. Repin, “On projectors to subspaces of vector valued functions subject to conditions of the divergence free type”, Zap. Nauchn. Sem. POMI, 459 (2017),  83–103  mathnet; J. Math. Sci. (N. Y.), 236:4 (2019), 430–445
2016
12. S. Repin, “On variational representations of the constant in the inf sup condition for the Stokes problem”, Zap. Nauchn. Sem. POMI, 444 (2016),  110–123  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:3 (2017), 456–467  scopus 2
2014
13. S. Repin, “Estimates of the distance to the set of divergence free fields”, Zap. Nauchn. Sem. POMI, 425 (2014),  99–116  mathnet; J. Math. Sci. (N. Y.), 210:6 (2015), 822–834  scopus 7
14. S. Matculevich, S. Repin, “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  mathnet; J. Math. Sci. (N. Y.), 210:6 (2015), 759–778  scopus 5
2013
15. S. Repin, “Estimates of deviations from exact solution of the generalized Oseen problem”, Zap. Nauchn. Sem. POMI, 410 (2013),  110–130  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 64–75  scopus 10
2011
16. A. Mikhaylov, S. Repin, “Estimates of deviations from exact solution of the Stokes problem in the vorticity-velocity-pressure formulation”, Zap. Nauchn. Sem. POMI, 397 (2011),  73–88  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:5 (2012), 698–706  scopus 4
2010
17. M. Fuchs, S. Repin, “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  mathnet; J. Math. Sci. (N. Y.), 178:3 (2011), 367–372  scopus 10
2009
18. S. I. Repin, “Estimates of deviations from exact solutions of variational problems with linear growth functionals”, Zap. Nauchn. Sem. POMI, 370 (2009),  132–150  mathnet; J. Math. Sci. (N. Y.), 166:1 (2010), 75–85  scopus 3
19. D. Pauly, S. Repin, “Two-sided a posteriori error bounds for electro-magneto static problems”, Zap. Nauchn. Sem. POMI, 370 (2009),  94–110  mathnet; J. Math. Sci. (N. Y.), 166:1 (2010), 53–62  scopus 5
2008
20. S. Repin, R. Stenberg, “A posteriori estimates for a generalized Stokes problem”, Zap. Nauchn. Sem. POMI, 362 (2008),  272–302  mathnet  zmath; J. Math. Sci. (N. Y.), 159:4 (2009), 541–558  scopus 2
2007
21. S. I. Repin, “Functional a posteriori estimates for elliptic variational inequalities”, Zap. Nauchn. Sem. POMI, 348 (2007),  147–164  mathnet; J. Math. Sci. (N. Y.), 152:5 (2008), 702–712  scopus 10
22. S. Nicaise, S. I. Repin, “Functional a posteriori error estimates for the reaction-convection-diffusion problem”, Zap. Nauchn. Sem. POMI, 348 (2007),  127–146  mathnet; J. Math. Sci. (N. Y.), 152:5 (2008), 690–701  scopus 4
2006
23. M. Bildhauer, S. I. Repin, “Estimates of the deviation from the minimizer for variational problems with power growth functionals”, Zap. Nauchn. Sem. POMI, 336 (2006),  5–24  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:2 (2007), 2845–2856  scopus 7
2005
24. A. V. Gaevskaya, S. I. Repin, “A Posteriori Error Estimates for Approximate Solutions of Linear Parabolic Problems”, Differ. Uravn., 41:7 (2005),  925–937  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 970–983 8
25. A. V. Muzalevskii, S. I. Repin, “On error estimates for approximate solutions in problems of the linear theory of thermoelasticity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1,  64–72  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:1 (2005), 60–68 2
2004
26. S. I. Repin, “Estimates of deviation from the exact solutions for some boundary-value problems with incompressibilily condition”, Algebra i Analiz, 16:5 (2004),  124–161  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:5 (2005), 837–862 22
27. S. I. Repin, “Local a posteriori estimates for the Stokes problem”, Zap. Nauchn. Sem. POMI, 318 (2004),  233–245  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:2 (2006), 3786–3793 2
28. S. I. Repin, M. E. Frolov, “On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem”, Zap. Nauchn. Sem. POMI, 310 (2004),  145–157  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:3 (2006), 331–338 4
2002
29. S. I. Repin, “Estimates of deviations for generalized Newtonian fluids”, Zap. Nauchn. Sem. POMI, 288 (2002),  178–203  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4621–4636 4
30. S. I. Repin, M. E. Frolov, “A posteriori error estimates for approximate solutions to boundary problem of elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1774–1787  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:12 (2002), 1704–1716 20
2000
31. S. I. Repin, “Estimates of deviations from exact solutions of elliptic variational inequalities”, Zap. Nauchn. Sem. POMI, 271 (2000),  188–203  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2811–2819 19
1999
32. S. I. Repin, “A posteriori estimates for the accuracy of variational methods for problems with nonconvex functionals”, Algebra i Analiz, 11:4 (1999),  151–182  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:4 (2000), 651–672 10
33. S. I. Repin, “A posteriori estimates for the Stokes problem”, Zap. Nauchn. Sem. POMI, 259 (1999),  195–211  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1950–1964 31
1997
34. S. I. Repin, “A posteriori error estimates for approximate solutions of variational problems with power growtn functionals”, Zap. Nauchn. Sem. POMI, 249 (1997),  244–255  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3531–3538 9
35. S. I. Repin, “A posteriori error estimation for nonlinear variational problems by duality theory”, Zap. Nauchn. Sem. POMI, 243 (1997),  201–214  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 927–935 58
1996
36. S. I. Repin, A. V. Muzalevskii, “Numerical modelling of discontinuous solution of perfectly elasto-plastic problems”, Matem. Mod., 8:4 (1996),  113–127  mathnet  zmath
1995
37. S. I. Repin, “A priori error estimates of variational-difference methods for Hencky plasticity problems”, Zap. Nauchn. Sem. POMI, 221 (1995),  226–234  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3421–3427 4
1994
38. S. I. Repin, “On the approximation of solutions of variational problems in the theory of ideal plasticity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  60–69  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 59:9 (1994), 59–68
1991
39. S. I. Repin, “Variational formulations for discontinuous displacement fields in problems of ideal plasticity”, Dokl. Akad. Nauk SSSR, 320:6 (1991),  1340–1344  mathnet  mathscinet  zmath; Dokl. Math., 36:10 (1991), 691–693
1989
40. S. I. Repin, “A variational-difference method of solving problems with functionals of linear growth”, Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989),  693–708  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 35–46 2
1988
41. S. I. Repin, “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  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 96–99 1
1987
42. S. I. Repin, “Minimization of a class of non-differentiable functionals by a relaxation method”, Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  976–983  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 9–14
2023
43. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J.-F. Rodrigues, G. A. Seregin, N. N. Uratseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198  mathnet  mathscinet; Russian Math. Surveys, 78:5 (2023), 971–981  isi
2021
44. S. I. Nikolenko, S. I. Repin, M. A. Skopina, “Preface”, Zap. Nauchn. Sem. POMI, 499 (2021),  5–6  mathnet
2008
45. I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Solonnikov's jubilee”, Zap. Nauchn. Sem. POMI, 362 (2008),  5–14  mathnet  zmath; J. Math. Sci. (N. Y.), 159:4 (2009), 385–390  scopus 1
2002
46. A. A. Arkhipova, M. S. Birman, V. S. Buslaev, V. G. Osmolovskii, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, T. N. Shilkin, “To the jubillee of O. A. Ladyzhenskaya”, Zap. Nauchn. Sem. POMI, 288 (2002),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4523–4526 2

Presentations in Math-Net.Ru
1. Estimates of the distance to exact solutions for a class of free boundary problems
D. E. Apushkinskaya, S. I. Repin
V. I. Smirnov Seminar on Mathematical Physics
October 17, 2022 15:00
2. 150 years anniversary of B.G. Galerkin: Bubnov-Galerkin method and its relation with other methods
S. I. Repin, M. E. Frolov
Seminar on the History of Mathematics
March 4, 2021 18:00   
3. Апостериорный анализ приближённых решений задач математической физики
S. I. Repin
III International Conference «Supercomputer Technologies in Mathematical Modelling»(SCTeMM-2016)
June 28, 2016 11:45   
4. Заседание, посвященное 100-летию метода Галёркина
I. I. Demidova, S. I. Repin
Meetings of the St. Petersburg Mathematical Society
December 22, 2015 18:00
5. On the significance of Galerkin method for the analysis of differential equations
S. I. Repin
Seminar on the History of Mathematics
December 22, 2015 18:00   

Organisations
 
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