ИПММ
Секция «Прикладная математика» Институт прикладной математики и механики СПбПУ
25 Апреля 2024 г. Четная неделя
Версия для слабовидящих
О секции Персоналии Репин Сергей Игоревич
Репин Сергей Игоревич
  • Ученая степень
    доктор физико-математических наук
  • Ученое звание
    профессор
  • Биография
  • Публикации

SCIENTIFIC DEGREES

  • Ph.D in physics and mathematics (Mechanics of Solids). Leningrad Polytechnical Institute (1983). Thesis: Shape optimization of elastic bodies for the eigenvalue problems.
  • Dr.Sci. in physics and mathematics (Mathematics of Computation). Sankt-Petersburg State University (1994). Thesis: Variational-difference methods for mathematical problems in plasticity theory.

EMPLOYMENT

  • Professor. Department of Applied Mathematics. Sankt-Petersburg State Technical University.

MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS

  • Member of American Mathematical Society.

SCIENTIFIC DIRECTIONS

  1. A posteriori error estimation and computable error bounds for approximate solutions of boundary value problems. A priori and a posteriori error estimates for finite element approximations.
  2. Calculus of variations and duality theory. Existence, regularity and approximation of solutions to variational problems and variational inequalities.
  3. Mathematical and numerical analysis of problems in plasticity and nonlinear elasticity.
  4. Variational problems with nondifferentiable functionals. Numerical and analytical methods based on minimax formulations and on the duality theory. Shape optimization problems.

MAIN LECTURE COURSES

  • Functional analysis. Calculus of variations.
  • Convex analysis and optimization theory.
  • Error estimation in engineering computations.
  • Mathematical and numerical methods in continuum mechanics.

PARTICIPATION IN NATIONAL AND INTERNATIONAL RESEARCH PROGRAMS

  1. International Science Foundation (ISF), Grant N MLROOO, 1994.
  2. Russian Foundation of Basic Researches (RFBR ), Grant N 94-0100120a, 1994.
  3. INTAS, Grant N 94-1386, 1994.
  4. ISF, Grant N MLR3OO, 1995.
  5. Royal Society of London, 1996 (personal 6 months grant);
  6. RFBR, Grant N 96-0101664, 1996.
  7. State Committee of Higher Education of Russia, Grant N 95-0-2.2-14, 1996-1998.
  8. INTAS, Grant N 96-835, 1997-2000.
  9. Participated in 4 joint research programs with St.-Petersburg industrial organizations and was the principal investigator in the two of them.
Scopus ID
РИНЦ ID
Монографии
N Авторы Название Издание Год
1. Mali O., Neittaanmaki P., Repin S.  Accuracy Verification Methods. Theory and Algorithms Springer, Berlin  2014 
2. S. Repin  A posteriori estimates for partial differential equations Walter de Gruyter, 2008 г.  2008 
3. P. Neittaanmaki and S. Repin.  Reliable methods for computer simulation. Error control and a posteriori estimates. Elsevier, New York  2004 
4. Petukhov L.V. (with V.Rivkind, G.Seregin, S.Repin)  Mathematical methods in the continuous medium mechanics Leningrad Technical Univ. 100p.   1991 
 
Учебно и научно-методические работы
N Авторы Название Издание Год
1. Репин С.И., Фролов М.Е.   Математические методы в нелинейных задачах механики сплошных сред СПб. : Изд-во Политехн. ун-та, 2008  2008 
2. Репин С.И., Фролов М.Е.   Численные методы. Оценка погрешности решения СПб.: СПбГПУ: Из-во Политехн. университета  2006 
3. Солонина Н.В., Репин С.И.  Численные методы линейной алгебры в прикладных задачах. Методические указания. Изд.СПбГТУ,1992.  1992 
 
Статьи
N Авторы Название Издание Год
1. Haslinger, J., Repin, S., Sysala, S.  A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting Journal of Computational and Applied Mathematics, 303, pp. 156-170.  2016 
2. Nokka, M., Repin, S.  Error estimates of uzawa iteration method for a class of bingham fluids Computational Methods in Applied Sciences, 40, pp. 31-42.   2016 
3. Matculevich, S.V., Repin, S.I.  Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincare inequalities for traces of functions on the boundary Differential Equations, 52 (10), pp. 1355-1365.   2016 
4. Repin, S., Samrowski, T., Sauter, S.  Estimates of the modeling error generated by homogenization of an elliptic boundary value problem Journal of Numerical Mathematics, 24 (1), pp. 1-15.   2016 
5. Mali, O., Repin, S.  Estimates of the solution set for a class of elliptic problems with incompletely known data BIT Numerical Mathematics, 56 (1), pp. 163-188.  2016 
6. Matculevich, S., Repin, S.  Explicit constants in poincare-type inequalities for simplicial domains and application to a posteriori estimates Computational Methods in Applied Mathematics, 16 (2), pp. 277-298.  2016 
7. Langer, U., Repin, S., Wolfmayr, M.  Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems Numerical Functional Analysis and Optimization, 37 (10), pp. 1267-1294.   2016 
8. Haslinger, J., Repin, S., Sysala, S.  Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals Applications of Mathematics, 61 (5), pp. 527-564.   2016 
9. Мацулевич С.В., Репин С.И.   Оценки разности между точными и приближёнными решениями параболических уравнений, основанные на неравенствах Пуанкаре для следов функций на границе Дифференциальные уравнения. Т. 52. № 10. С. 1407-1417  2016 
10. Khoromskij B., Repin S.   A fast iteration method for solving elliptic problems with quasiperiodic coefficients Russian J. Numer. Anal. Math. Modelling , 2015, Vol. 30, no. 6, p.329-344  2015 
11. Haslinger J., Repin S., Sysala S.  A new incremental method of computing the limit load in deformation plasticity models arXiv:1511.02681, 2015. http://arxiv.org/abs/1511.02681  2015 
12. Matculevich S., Neittaanmaki P., Repin S.   A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality Discr. Contin. Dyn. Systems, Vol. 35, no. 6, 2015, p.2659-2677  2015 
13. Repin S., Valdman J.   A Posteriori Error Estimates for Two-Phase Obstacle Problem Проблемы математического анализа, Vol. 207, no. 2, 2015, p.324-335. (J. Math. Sci.)  2015 
14. Neittaanmaki P., Repin S.  A posteriori error identities for nonlinear variational problems Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, № 7 (1), p.157-172  2015 
15. Repin S.   Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control Computer Methods in Applied Mathematics, 2015, Vol. 15, no. 4, p.515-530  2015 
16. Mali O., Repin S.   Estimates of the solution set for a class of elliptic problems with incompletely known data BIT  2015 
17. Repin S.   Exact constants in Poincare type inequalities for functions with zero mean boundary traces Russian J. Numer. Anal. Math. Modelling, Vol. 30, no. 2, 2015, p.111-120  2015 
18. Langer U., Repin S., Wolfmayr M.   Functional a posteriori error estimates for parabolic time-periodic boundary value problems Computer Methods in Applied Mathematics, Vol. 15, no. 3, 2015, p.353-372  2015 
19. Matсulevich S., Repin S.   Sharp bounds of constants in Poincare type inequalities for polygonal domains arXiv:1504.03166, 2015.http://arxiv.org/abs/1504.03166  2015 
20. Nokka M., Repin S.  A posteriori error bounds for approximations of the Oseen problem and applications to the Uzawa iteration algorithm Computer Methods in Applied Mathematics, Vol. 14, no. 3, 373-383  2014 
21. Matculevich S., Repin S.  Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equation Applied Mathematics and Computation , Vol. 247, 329-347  2014 
22. Matculevich S., Repin S.  Estimates of the distance to the exact solution of parabolic problems based on local Poincare type inequalities Записки научных семинаров ПОМИ , Vol. 425, 7-34  2014 
23. Repin S.  Estimates of the distance to the set of divergence free fields Записки научных семинаров ПОМИ, Vol. 425, 99-116  2014 
24. Repin S.I., Samrowski T.S., Sauter S.  A posteriori error majorants of the modeling errors for elliptic homogenization problems Comptes Rendus Mathematique, no. 5, Nov. 2013  2013 
25. Repin S.  Estimates of deviations from exact solution of the generalized Oseen problem Записки научных семинаров ПОМИ, Vol. 410, P. 110-130  2013 
26. Neittaanmaki P., Repin S., Valdman J.  Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions Russian J. Numer. Anal. Math. Modelling, Vol. 28, no. 6, P. 597-630  2013 
27. Repin S. and Chetverushkin B.  Estimates of the difference between approximate solutions of the cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter Доклады Академии наук, том 88, номер 1, стр. 417-420  2013 
28. Kuznetsov Yu.and Repin S.  Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators Journal of Numerical Mathematics, Vol. 21, no. 2, P. 135-156  2013 
29. S. Repin, T. Samrowski, S. Sauter  Combined a posteriori modeling--discretization error estimate for elliptic problems with complicated interfaces M2AN (Mathematical Modeling and Numerical Analysis), Vol. 48, P. 1389-1405  2012 
30. S. Repin  Computable majorants of constants in the Poincare and Friedrichs inequalities Проблемы математического анализа , том 66, с. 153-166 (J. Math. Sci., 186, no. 2, 307-321)  2012 
31. Repin, S. and Frolov, M.   Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity Journal of Mathematical Sciences, Vol. 181, No. 2, pp. 281-291  2012 
32. A. Nazarov, S. Repin  Exact constants in Poincare type inequalities for functions with zero mean boundary traces Preprint POMI (arXiv [math. AP], 1211.2224)   2012 
33. I. Anjam, M. Nokka, S. Repin  On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm Russian J. Numer. Anal. Math. Modelling , Vol. 27, no. 4, P. 321-338  2012 
34. S. Repin  On measures of errors for nonlinear variational problems Russian J. Numer. Anal. Math. Modelling , Vol. 27, no. 6, P. 577-584  2012 
35. S. Repin and T. Rossi  On the Application of A Posteriori Estimates of the Functional Type to Quantitative Analysis of Inverse Problems Numerical Methods for Differential Equations, Optimization, and Technological Problems (Springer, Berlin), P. 109-120  2012 
36. S. Repin, T. Samrowski and S. Sauter  Two-sided estimates of the modeling error for elliptic homogenization problems Department of Mathematics, University of Zurich, no. 2012-12  2012 
37. M. Fuchs, S. Repin  A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem Numerical Functional Analysis & Optimization, Vol. 32, no. 6, P. 610-640, 2011  2011 
38. O. Mali, S. Repin  Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems Russian J. Numer. Anal. Math. Modelling , Vol. 26, no. 4, P. 413-426, 2011  2011 
39. D. Pauly, S. Repin, T. Rossi   Estimates for deviations from exact solutions of the Cauchy problem for Maxwell`s equations Annales Academia Scientiarum Fennica, Mathematica, Vol. 36, P. 661-676, 2011  2011 
40. S. Repin, T. Samrowski  Estimates of Dimension Reduction Errors for Stationary Reaction-Diffusion Problems Journal of Mathematical Sciences, Vol. 173, No. 6, 2011  2011 
41. P. Neittaanmaki, S. Repin, J. Valdman   Functional a posteriori error estimates for elastic problems with nonlinear boundary conditions Max Planck Institute of Mathematics, no. 13, 2011  2011 
42. Sergey I. Repin, Satyendra K. Tomar  Guaranteed & robust error bounds for nonconforming approximations of elliptic problems IMA Journal of Numerical Analysis , Vol. 31, no. 2, P. 597-615, 2011  2011 
43. Репин С.И., Фролов М.Е.  Оценки отклонения от точного решения для плоских задач в теории упругости Коссера. Проблемы математического анализа. Вып. 62, 2011.  2011 
44. J. M. Nordbotten, T. Rahman, S. I. Repin, J. Valdman   A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model Computational Methods in Applied Mathematics, Vol. 11, no. 3, P. 1-13, 2010 г. ( arXiv:1003.5290)  2010 
45. S. Repin and S. Tomar  A posteriori error estimates for approximations of evolutionary convection-diffusion problems Проблемы математического анализа , Vol. 50, P. 113-123, 2010 г. (J. Math. Sci, 170, no. 4, 554-566)  2010 
46. P. Neittaanmaki, S. Repin   A posteriori error majorants for the evolutionary Stokes problem Journal of Numerical Mathematics (de Gtuyter), Vol. 18, no. 2, P. 119-134, 2010 г.  2010 
47. S. Repin  A posteriori estimates for variational inequalities Numerical Mathematics and Advanced Applications 2009, Springer, P.753-760, 2010 г. (Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced)  2010 
48. S. I. Repin, T. Samrowski, S. Sauter   Combined a posteriori modelling-discretization error estimate for elliptic problems with variable coefficients . Preprint 11-2010, University of Zurich, 2010  2010 
49. M. Fuchs and S. Repin  Computable a posteriori error estimates for the approximations of the Hencky plasticity problem Preprint, Universtat des Saarlandes, 2010  2010 
50. S. Repin and S. Sauter  Computable estimates of the modeling error related to the Kirchhoff-Love plate model Analysis and Applications (WSP), Vol. 8, no. 4, P. 1-20, 2010  2010 
51. M. Fuchs and S. Repin  Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids Math. Methods Appl. Sci. (Wiley), Vol. 33, no. 9, P. 1136-1147  2010 
52. S. Repin, S. Sauter  Estimates of the modeling error for the Kirchhoff-Love plate model Comptes Rendus Mathematique (Elsevier), том 348, номер 17-18, стр. 1039-1043, 2010 г.  2010 
53. Neittaanmaki, Pekka; Repin, Sergey  Guaranteed error bounds for conforming approximations of a Maxwell type problem Applied and numerical partial differential equations, 199–211, Comput. Methods Appl. Sci., 15, Springer, New York, 2010  2010 
54. M. Fuchs, S. Repin   Some Poincare-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient Записки научных семинаров ПОМИ , Vol. 385, P. 224-233, 2010  2010 
55. O. Mali and S. Repin  Two-sided estimates of the solution set for the reaction-diffusion problem with uncertain data Comput. Methods Appl. Sci. (Springer), Vol. 15, P. 183-198, 2010   2010 
56. I.Anjam, O.Mali, A.Muzalevsky, P.Neittaanmaki, and S.Repin  A posteriori error estimates for a Maxwell type problem Russian J. Numer. Anal. Math. Modelling , Vol. 24, 5  2009 
57. S. Cochez-Dhondt; S. Nicaise; S. Repin  A posteriori error estimates for finite volume approximations Math. Model. Nat. Phenom. , Vol. 4, no. 1. 2009  2009 
58. S. Repin; S. Sauter  Computable estimates of the modeling error related to Kirchhoff-Love plate model Institute of Mathematics University of Zurich, no. 11-2009  2009 
59. S.K. Tomar and S.I. Repin  Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems Journal of Computational and Applied Mathematics , Vol. 226, no. 2. 2009  2009 
60. S. Repin  Estimates of deviations from exact solutions for variational problems with linear growth functionals Записки научных семинаров ПОМИ , Vol. 370  2009 
61. S. Repin  Estimates of deviations from exact solutions of initial boundary value problems for the wave equation Проблемы математического анализа , Vol. 41  2009 
62. S. Repin  Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger estimate J. Math. Sci. new. York, Vol. 157, no. 6. 2009  2009 
63. D. Pauly; S. Repin  Functional a posteriori error estimates for elliptic problems in exterior domains Проблемы математического анализа , Vol. 44, P. 1-16  2009 
64. S. Repin and J. Valdman  Functional a posteriori error estimates for incremental models in elasto-plasticity Central European Mathematical Journal , Vol. 7, no. 3. 2009  2009 
65. M. Bildhauer, M. Fuchs, S. Repin  The Elastic-Plastic Torsion Problem: A Posteriori Error Estimates for Approximate Solutions Numerical Functional Analysis and Optimization, Vol. 30, no. 7-8. 2009  2009 
66. D. Pauly, S. Repin  Two-Sided A Posteriori Error Bounds for Electro-Magneto Static Problems Записки научных семинаров ПОМИ , том 370  2009 
67. S. Repin  Advanced forms of functional a posteriori estimates for elliptic problems Journal of Numer. Anal. Math. Modelling , том 23, номер 5, стр. 505-521, 2008 г.  2008 
68. M. Bildhauer, M. Fuchs, S. Repin  Duality based on posteriori error estimates for higher order variational inequalities with power growth functionals Ann. Acad. Sci. Fenn. Math., том 33, номер 2, стр. 475-490, 2008 г.  2008 
69. S. Repin and J. Valdman  Functional a posteriori error estimates for problems with nonlinear boundary conditions Journal of Numerical Mathematics, v16, №1, 2008, рр 51-81  2008 
70. P. Neittaanmaki, S. Repin, P. Turchyn  New a posteriori error indicator in terms of linear functionals for linear elliptic problems Journal of Numer. Anal. Math. Modelling , том 23, номер 1, стр. 77-87, 2008 г.  2008 
71. S. Repin, R. Stenberg  Two-sided a posteriori estimates for generalized Stokes problem Записки научных семинаров ПОМИ , 2008 г.  2008 
72. E. Gorshkova, P. Neittaanmaki, S. Repin  A posteriori error estimate for viscous flow problems with rotation Adaptive Numerical methods for PDE's, маthatisches Forschungsinstitut Oberwolfach  2007 
73. E. Gorshkova, A. Mahalov, P. Neittaanmaki, S. Repin  A posteriori error estimates for viscous fluids with rotation Journal of mathematical Sciences, Vol. 142, No. 1  2007 
74. Репин С.И., Фролов М.Е.   Применение методов математической физики к контролю точности решений задач механики Научно-технические ведомости СПбГПУ, Вып.1   2007 
75. Repin S.I. (with M. Bildhauer, M. Fuchs)  A posteriori error estimates for stationary slow flows of power–law fluids International Journal of Non-Newtonian Fluids  2006 
76. Repin S.I. (with M. Bildhauer)  Estimates for the deviation from exact solutions of variational problems with power growth functionals Zapiski Nauchnych Seminarov POMI, 2006  2006 
77. Repin S.I. (with M. Fuchs)  Estimates for the deviation from the exact solutions of variational problems modeling certain classes of generalized Newtonian fluids Mathematical Methods in Applied Sciences  2006 
78. Repin S.I., Frolov M.E.  Estimation of Deviations from the Exact Solution for the Reissner-Mindlin Plate Problem J. of Math. Sciences, V.132, No.3, 2006, P. 331–338  2006 
79. Repin S.I. (with R. Lazarov and S. Tomar).  Functional a posteriori error estimates for Discontinuous Galerkin method Radon Institute of Computational and Applied Mathematics of Austrian Academy of Sciences, Preprint 32-2006  2006 
80. Repin S.I (with J. Valdman).  Functional a posteriori error estimates for problems with nonlinear boundary conditions Radon Institute of Computational and Applied Mathematics of Austrian Academy of Sciences , Preprint 26-2006  2006 
81. Repin S.I. (with S. Sauter)  Functional A Posteriori Estimates for the Reaction-Di_usion Problem C. R. Acad. Sci. Paris, Ser. 1, 343(2006), 349–354  2006 
82. M.E. Frolov, P. Neittaanmaki and S.I. Repin  Guaranteed functional error estimates for the Reissner-Mindlin plate problem J. of Math. Sciences, V.132, No.4, pp. 553-561,  2006 
83. Yu.Kuznetsov and S.Repin.  Convergence analysis and error estimates for mixed finite element method on distorted meshes. Journal of Numerical Mathematics, Vol.13, No.1  2005 
84. S. Repin and A. Smolianski.  Functional-type a posteriori error estimates for mixed finite element methods. Russian J. Numer. Anal. Math. Modelling 20, no. 4  2005 
85. А. Гаевская, С. Репин.  Апостериорние оценки погрешности приближённых решений линейных параболических задач. Дифференциальные уравнения, 41, 7  2005 
86. Фролов М. Е., Нейттаанмяки П., Репин С. И.  Гарантированные функциональные оценки погрешности для задачи о пластине Рейсснера-Миндлина. Проблемы математического анализа, No.31  2005 
87. S.I. Repin, S. Sauter and  A. Smolianski.  A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. J. Comput. Appl. Math.  164/165  2004 
88. S.I. Repin.  A posteriori estimates in local norms. J. Math. Sci. (New York), Nov, 3  2004 
89. S.I. Repin, S. Sauter and  A. Smolianski.  A posteriori estimation of dimension reduction errors for elliptic problems in thin domains. SIAM J. Numer. Anal.  2004 
90. S.I. Repin, P. Neittaanmaki.  Error control and a posteriori estimates. Elsevier, New York, London  2004 
91. M. Frolov, P. Neittaanmaki and S. Repin  On computational properties of a posteriori error estimates based upon the method of duality error majorants. Numerical Mathematics and Advanced Applications (ENUMATH, 2003), Springer-Verlag, Berlin, Heidelberg  2004 
92. M. Frolov, P. Neittaanmaki and S. Repin  On practical implementation of duality error majorants for boundary-value problems arising in the theory of plates. Proc. of the European Congress on Computational Methods in Applied Sciences and Engineering, Jyvaskyla, Finland (electronic).  2004 
93. Репин С.И., Фролов М.Е.   Об оценке отклонения от точного решения задачи о пластине Рейснера—Миндлина. Записки научных семинаров ПОМИ, Т.310, Краевые задачи математической физики и смежные вопросы теории функций 34  2004 
94. С.И. Репин.  Оценки отклонений от точных решений краевых задач с условием несжимаемости Алгебра и Анализ, 16, 5  2004 
95. Repin S.  A posteriori error estimates with account of indeterminacy of the problem data. Russ. J. Numer. Anal. Math. Modelling 18, n. 6  2003 
96. Repin S.  A posteriori error estimation for the Dirichlet problem with account of the error in approximation of boundary conditions. Computing , n.3, (with A. Smolianskii and S. Sauter).  2003 
97. Repin, S  A posteriori error estimation of goal-oriented quantities by the superconvergence patch recovery. J. Numer. Math. 11, no. 1, (with S. Korotov and P. Neittaanmaki).  2003 
98. Repin, S. Sauter and A. Smolianskii.  A posteriori estimation of dimension reduction errors for elliptic problems in thin domains. Institute of Mathematics, Zurich University, preprint.  2003 
99. Repin, S.  New mixed finite element method on polygonal and polyhedral meshes. Russian J. Numer. Anal. Math. Modelling 18, no. 3, (with Yu. Kuznetsov).  2003 
100. M. Frolov, P. Neittaanmaki and S. Repin  On the reliability, effectivity and robustness of a posteriori error estimation methods. Numerical Methods for Scientific Computing. Variational problems and applications, CIMNE, Barcelona  2003 
101. Repin, S.  On two-sided error estimates for approximate solutions of problems in the linear theory of elasticity. Russian J. Numer. Anal. Math. Modelling 18, no. 1, (with A.V. Muzalevsky).  2003 
102. Репин С.И., Фролов М.Е.   Об апостериорных оценках точности приближенных решении краевых задач для уравнений эллиптического типа. Журнал вычислительной математики и математической физики, Т.42, No.12  2002 
103. Repin S.I.  A posteriori error estimates for boundary value problems with obstacles. "Numerical Mathematics and Advanced Applications" ed. P. Neittaanmaki et al, World Scientific  2000 
104. Repin S.I.  A posteriori error estimates for variational problems with uniformly convex functionals. Mathematics of Computations, v. 69  2000 
105. Repin S.I.  A posteriori estimates of the accuracy of variational methods for problems with nonconvex functionals. St.-Petersburg. Math. J., v. 11, N4  2000 
106. Repin S.I.  Estimates of deviations from exact solutions of elliptic variational inequalities. Zapiski Nauchn. Semin. POMI, v. 271  2000 
107. Repin S.I.  A posteriori error estimation for approximate solutions of variational problems by duality theory.   ENUMATH 97 Proceedings of 2nd European Conference on Numerical Mathematics and Advanced Applications(Ed. H.Bock, G.Kanschat, R.Rannacher, F.Brezzi, R.Glowinski, Y.Kuznetsov and J.Periaux), VSP 1999.   1999 
108. Repin S.I.  A posteriori estimates for the Stokes problem. Записки научных семинаров математического института им. В.А. Стеклова. Том 259  1999 
109. Репин С.И.  Апостериорные оценки точности вариационных методов в задачах с невыпуклыми функционалами. Алгебра и анализ, том 11 , N4  1999 
110. Repin S.I.  Error bounds for approximate solutions of variational problems with linear growth functionals. To appear in the Proceedings of the Workshop   "Analysis and Approximation of Boundary Value Problems", 14--15 Oct. 1998, Jyuvaskyla, Finland.   1998 
111. Repin S.I., Xanthis L.  A posteriori error estimation for nonlinear variational problems.   C. R. Acad. Sci. Paris, t. 324 (1997), Serie I, 1169--1174.   1997 
112. Repin S.I.  A posteriori error estimation for nonlinear variational problems by duality theory.   Zapiski Nauchn. Semin. V.A. Steklov Mathematical Institute in St.-Petersburg (POMI), 243(1997), 201--214.   1997 
113. Repin S.I.  A posteriori error estimation for problems with power growth functionals.   Zapiski Nauchn. Semin. POMI, 249(1997), 244--255.  1997 
114. Repin S.I.  A posteriori estimates of approximation errors for variational problems with strongly convex functionals. (in Russian) { Problems of Mathematical Analysis}, 17 (1997), 199--226.   1997 
115. Repin S.I.  Mathematical and numerical analysis of discontinuous solutions in plasticity theory.   Proceedings of Saint-Venant Symposium, Paris, 27-29 Aug. 1997, Ecole Nationale des Ponts et Chausses, 365-372.  1997 
116. Repin S.I., Xanthis L.  A posteriori error estimation for elasto-plastic problems based on duality theory.   Comput. Methods Appl. Mech. Engrg., 138(1996), 317-339.   1996 
117. Repin S.I.  A priory error estimates of variational-difference methods for Hencky plasticity problems.   Zapiski Nauchn. Semin. POMI, 221(1995), 226-234.  1995 
118. Repin S., Seregin G.   Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems.   Int. J. Engrg. Sci. 33(1995), 2, 255-268.   1995 
119. Repin S., Seregin G.   Existence of a weak solutions of the minimax problem in Coulomb-Mohr plasticity.   In American Mathematical Society Translations, Series 2, Advances in the Mathematical Sciences -- 22, Nonlinear Evolutionary Equations, 164(1995), 189-220.   1995 
120. Neittaanmaki P., Repin S., Rivkind V.  Discontinuous finite element approximationsfor functionals with linear growth.  East-West J.Numer.Math., 2, 3, 212-228.  1994 
121. Repin S.I.  Errors of variational-difference methods for perfectlyelasto-plastic problems. "Numerical Modelling in ContinuumMechanics", Proc. II Int. Conf. Numer.Modell. in Contin. Mech., Aug. 22-25, 1994, Praha, Czech Republic",Charles University, Prague 1995, 228-234.  1994 
122. Repin S.I.  Numerical analysis of no nonsmooth variational problems of perfect plasticity.   Russ. J. Numer. Anal. Math. Modell., 9(1994), 33-46.  1994 
123. Repin S.I.  On the Approximations of Discontinuous Solutionsof some Problems in Nonlinear Mechanics and Geometry.  Proceedings of the First International Conference on Difference Equations, May 22-26,1994, San-Antonio, Texas, USA}, 1995, Gordon & Breach, 439-458.  1994 
124. Repin S.I.  On the approximations of solutions to variational problems of perfect plasticity. (in Russian). Isvestiya Vusov (Transactions of Higher Educational Institutions -- Mathematics}, 1994, N9, 60-69   1994 
125. Repin S.I.  The solutions of problems in the mathematical theory of plasticity with discontinuities in the displacement fields.   J. Appl. Maths. Mechs, 58, 149-160.  1994 
126. Солонина Н.В., Бычков А.К., Репин С.И.  Моделирование разрывных решений в задачах деформационной теории пластичности. Труды СпбГТУ. Прикладная математика.СПбГТУ, 1992,с.43-49.  1992 
127. Солонина Н.В., Бычков А.К., Репин С.И.  О методе конечных элементов для задач идеальной пластичности. Труды СпбГТУ. Прикладная математика.СПбГТУ, 1992.  1992 
128. Repin S.I.  On the variational formulations using discontinuous displacements fields for problems of perfect plasticity. PMM (Prikl. Maths. Mechs.}, 55 (1991), 6, 1026-1034.  1991 
129. S. Repin.  On the variational formulations using discontinuous displacements fields for problems of perfect plasticity. PMM (Prikl. Maths. Mechs.}, 55, 6  1991 
130. Repin S.I.  Variational posings of ideal plasticity problems for discontinuous fields of displacements. (in Russian). English translation in Sov. Phys. Dokl. Reports USSR Academy of Sciences, 320 (1991), 6, 1340-1344   1991 
131. S. Repin.  Variational posings of ideal plasticity problems for discontinuous fields of displacements. ( Reports USSR Academy of Sciences), 320, 6, (in Russian). English translation in Sov. Phys. Dokl.  1991 
132. Repin S.I.  Variational-difference method for solving problems with functionals of linear growth. (in Russian). Zh.Vychisl. Mat. i Mat. Fiz., 28(1989), 3, 693-708  1989 
133. Repin S.I.  Variational-difference method for problems of perfect plasticity using discontinuous conventional finite elements method. (in Russian). Zh. Vychisl. Mat. i Mat. Fiz., 28(1988), 449-453  1988 
134. Repin S.I.  Minimization of a class of nondifferentiable functionals by means of relaxation methods. (in Russian). Zh. Vychisl. Mat.i Mat. Fiz, 27(1987), 976-983   1987 
135. Petukhov L.V., Repin S.I.  Development refined methods and combined programs of computation of cryo-turbo-generator Report of the Leningrad Polytechnical Institute, N507108. Leningrad, part 1, 1982, 138p.; part 2, 1983, 77p.; part 3, 1986, 96p.  1986 
136. Repin S., Seregin G.  A Method of Shape Optimization for Elastic Plates Buckling Problem. (in Russian). Applied Mechanics, 28(1984), N10,117-120   1984 
137. Petukhov L.V., Repin S.I.  Application of duality methodes in the optimal problems of elastic bodies (English transl.). J.Appl.Math.Mech., vol.48, N5, pp.830-839   1984 
138. Petukhov L.V., Repin S.I.  Application of the Duality Methods to the Problems of Elastic Bodies Shape Optimization. (in Russian). Prikl. Mat. Mech. 48(1984), N5, 830-838   1984 
 
Доклады, тезисы и материалы конференций
N Авторы Название Издание Год
1. Repin S.  Constants in boundary-mean trace Inequalities with Applications to Quantitative Analysis of PDE’s Reliable Methods for Mathematical Modeling, University of Zurich, 30 June - 2July 2015  2015 
2. Repin S.   Poincare type inequalities for functions with zero mean boundary traces and interpolation of vector fields Contributions to PDE for Applications, University Paris-6, France, 31 Aug. - 1 Sept. 2015 (invited talk)  2015 
3. Repin S.  Robust posteriori estimates for incompressible media problems Robust discretizations for elasticity and poroelasticity: University of Bergen, Finse, Norway, 16-18 Feb. 2015 (invited talk)  2015 
4. Репин С.И., Фролов М.Е.  Апостериорные оценки точности приближенных решений в двумерных задачах классической и моментной теории упругости Международная конференция «Актуальные проблемы вычислительной и прикладной математики — 2015». Тезисы. Новосибирск. Институт вычислительной математики и математической геофизики Сибирского отделения Российской академии наук, 19-23 октября 2015. Новосибирск: Академиздат, 2015. 186 с. – с. 17. (приглашенный секционный доклад)  2015 
5. Repin S.  Guaranteed and Fully Computable Bounds of Approximation The 5th IMACS Conference on Mathematical Modelling and Computational Methods in Applied Sciences , Roznov, Czech Republic, June, 2-6, 2014 (Приглашенный доклад)  2014 
6. Repin S.  Guaranteed and fully computable bounds of approximation and modeling errors for problems with divergence free condition International Conference on Computational Methods in Applied Mathematics , St. Wolfgang, Austria, September 28-October 4, 2014 (Приглашенный доклад)  2014 
7. S. Repin  Guaranteed a Posteriori Error Estimates for Viscous flow problems in Rotation Frame Rotation Frame Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD, Lisboa, Portugal,: June, 14-17, 2010 г. 6.0  2010 
8. O. Mali, S. Repin  Indeterminant Data in Problems of Continuum Mechanics Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD, Lisboa, Portugal,: June, 14-17, 2010 г. 6.0  2010 
9. S. Repin  Mathematical Problems with Linear Growth Energy Functionals: Numerical Methods, A Priori and A Posteriori Estimates HakutuloksetMathematical and Numerical Modelling in Science and Technology. November 18–20, 2010. University of Jyvaskyla, Finland  2010 
10. O. Mali and S. Repin  Estimates of the solution set for problems with indeterminant data by functional a posteriori estimates Proc. of the IV Int. Conf. on Adaptive Modeling and Simulation, Bruxelles, 25-27 May, 2009  2009 
11. S. Repin  A posteriori error control of approximate solutions to some viscous flow problems Workshop on Reliable Methods in Scientific Computing, место проведения: Jyvaskyla, Finland, время проведения: August 15-16, 2008 г  2008 
12. S. Repin  A posteriori error control of nonconforming approximations Scientific seminar of the Department of Mathematics, место проведения: University of Laussanne, Swiss, время проведения: November 12, 2008 г.  2008 
13. S. Repin  A posteriori estimates for nonlinear variational problems Workshop on Multiscale Methods, место проведения: Geilo, Norway, время проведения: December 4-5, 2008 г  2008 
14. E. Gorshkova, P. Neittaanmaki, S. Repin  A Posteriori Error Estimates for Viscous Flow Problem with Rotation Workshop"Reliable Methods of Mathematical Modeling"  2007 
15. E. Gorshkova, P. Neittaanmaki, S. Repin  A Posteriori Error Estimates for Viscous Flow Problem with Rotation "Adaptive Numerical Methods for PDEs", Oberwolfach, Germany.   2007 
16. E. Gorshkova, P. Neittaanmaki, S. Repin  A Posteriori Error Estimates for Viscous Flow Problem with Rotation Petrovskii International Conference "Differential Equations and Related Topics" (22 meeting), Moscow  2007 
17. E. Gorshkova, P. Neittaanmaki, S. Repin  Mesh-Adaptive Methods for Viscous Flow Problem with Rotation ADMOS 2007, Goteborg, Sweeden.  2007 
18. E. Gorshkova, P. Neittaanmaki, S. Repin  Mesh-adaptive methods for viscous flow problem with rotation" Springer  2007 
19. Repin S.I. (with A. Gaevskaya and W. H. Hoppe)  A posteriori estimates for cost functionals of optimal control problems Proceedings of 6th European Conference on Numerical Mathematics and Advanced Applications, pp. 291–298, Springer, Berlin, 2006  2006 
20. Repin S.I. (with E. Gorshkova and P.Neittaanmaki)  Comparative study of a posteriori error estimates for the Stokes problem Proc. of 6th European Conference on Numerical Mathematics and Advanced Applications, Springer, Berlin, 2006, pp. 255-262  2006 
21. Repin S.I.  Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems Proc. 6th European Conference on Numerical Mathematics and Advanced Applications, Springer, Berlin, 2006, pp. 133-148  2006 
22. Репин С.И., Талалов О.В  Апостериорные оценки качества решений краевых задач в терминах проблемно ориентированных функционалов Политехнический симпозиум. СПбГПУ, Декабрь 2006  2006 
23. A. Gaevskaya, and S. Repin.  A posteriori error estimates for linear parabolic problems University of Zurich (Switzerland) July 6 - 8. International Workshop on Reliable Methods of Mathematical Modeling -RMMM 2005  2005 
24. E. Gorshkova, P. Neittaanmaki, S. Repin  A posteriori error estimates for the Stokes Problem International conference on Adaptive Modeling and Simulation, ADMOS 2005, Barselona, September 8-10  2005 
25. A. Gaevskaya, R.H.W. Hoppe, S. Repin.  A Posteriori Estimates for the Cost Functional for a Class of Optimal Control Problems University of Santiago de Compostela (Spain) July 18 - 22. 6th European Conference on Numerical Mathematics and Advanced Applications - ENUMATH 2005.  2005 
26. A. Gaevskaya, R.H.W. Hoppe, S. Repin.  Error Majorants for Distributed Optimal Control Problems with Control Constraints Tomar (Portugal) July 26 - 29. Workshop on PDE Constrained Optimization.  2005 
27. A. Gaevskaya, R.H.W. Hoppe, S. Repin.  Error Majorants for Distributed Optimal Control Problems with Control Constraints Johann Radon Institute for Computational and Applied Mathematics (RICAM)} (Linz, Austria) November 7 - 11. International Workshop on "Direct and Inverse Field Computations in Mechanics".  2005 
28. А.В.Музалевский, С.И.Репин  О вычислении апостериорных оценок функционального типа. Материалы Шестого Всероссийского семинара "Сеточные методы для краевых задач и приложения", Казань  2005 
29. S.I. Repin, S. Korotov and P. Neittaanmaki  A posteriori error estimation in terms of linear functionals. In Proc. 5th European Conference on Numerical Mathematics and applications, Prague  2004 
30. S.I. Repin, S. Sauter and  A. Smolianski.  A posteriori estimation of dimension reduction errors. In Proc. 5th European Conference on Numerical Mathematics andapplications, Prague  2004 
31. S.I. Repin, E. Gorshkova.  Error control of the approximate solution to the Stokes equation using a posteriori error estimates of functional type. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, 24-28 July  2004 
32. Repin S.  Finite element methods March 1-2, University of Houston, Texas, USA.  2003 
33. Repin S.  Reliable Methods of Mathematical Modelling and Applications in Science and Technology September 25-27, Jyvaskyla, Finland.  2003 
34. Repin S.I.  A posteriori estimates of the accuracy of 2Dmodels of 3D elasticity problems. Internatinal Conference “3D problems in Elasticity Theory.” June, Jyuvaskyla, Finland (invited speaker). 30min-lecture.  2000 
35. Repin S.I.  A posteriory error estimates of the accuracy of variational methods For nonconvex variational problems. 5th French-Russian-Finnish Workshop on Numerical Analysis and Applications. June, Jyuvaskyla, Finland (invited speaker) 1-hour lecture.  2000 
36. Repin S.I.  GAMM Workshop "Compu