Преподаватели


Репин Сергей Игоревич

д.ф.-м.н.
профессор
Профессор кафедры «Прикладная математика»

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.


Лекционные курсы, семинары и поддержка НИРС


Руководство дипломными и выпускными работами

NСтудентГруппаКвалификация / СтепеньГодТема
1.Мацулевич Светлана Викторовна63601/1 Магистр 2012 Гарантированные оценки для задач линейной алгебры и класса итерационных методов Пикара-Линделефа  
2.Мацулевич Светлана Викторовна43601/1 Бакалавр 2010 Интегрирование обыкновенных дифференциальных уравнений с гарантированной точностью 
3.Николаев Иван Романович63601/1 Магистр 2008 Апостериорные оценки точности приближенных решний уравнения реакции-диффузии 
4.Торбан (Гиниятулина) Ольга Радмировна63601/1 Магистр 2008 Апостериорные оценки точности решения эллиптических уравнений с учетом неопределенности в данных задачи  
5.Талалов Олег Викторович63601/2 Магистр 2007 Апостериорные оценки качества приближенных решений краевых задач в терминах линейных функционалов 
6.Николаев Иван Романович43601/1 Бакалавр 2006 Апостериорные оценки точности приближенных решений уравнения реакции-диффузии 
7.Торбан (Гиниятулина) Ольга Радмировна43601/1 Бакалавр 2006 Апостериорные оценки точности приближенного решения эллиптических уравнений с учетом неопределенности в данных задачи 
8.Талалов Олег Викторович43601/2 Бакалавр 2005 Оценка точности приближенных решений краевых задач в терминах проблемно-ориентированных функционалов 

Основные публикации

 
Монографии
NАвторыНазваниеИзданиеГод
1.Mali O., Neittaanmaki P., Repin S. Accuracy Verification Methods. Theory and AlgorithmsSpringer, Berlin 2014 
2.S. Repin A posteriori estimates for partial differential equationsWalter 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
NАвторыНазваниеИзданиеГод
1.Репин С.И., Фролов М.Е.  Математические методы в нелинейных задачах механики сплошных средСПб. : Изд-во Политехн. ун-та, 2008 2008 
2.Репин С.И., Фролов М.Е.  Численные методы. Оценка погрешности решенияСПб.: 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
NАвторыНазваниеИзданиеГод
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 settingJournal 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 fluidsComputational 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 boundaryDifferential 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 problemJournal 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 dataBIT 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 estimatesComputational 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 ProblemsNumerical 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 functionalsApplications of Mathematics, 61 (5), pp. 527-564.  2016 
9.Khoromskij B., Repin S.  A fast iteration method for solving elliptic problems with quasiperiodic coefficientsRussian J. Numer. Anal. Math. Modelling , 2015, Vol. 30, no. 6, p.329-344 2015 
10.Haslinger J., Repin S., Sysala S. A new incremental method of computing the limit load in deformation plasticity modelsarXiv:1511.02681, 2015. http://arxiv.org/abs/1511.02681 2015 
11.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 
12.Repin S., Valdman J.  A Posteriori Error Estimates for Two-Phase Obstacle ProblemПроблемы математического анализа, Vol. 207, no. 2, 2015, p.324-335. (J. Math. Sci.) 2015 
13.Neittaanmaki P., Repin S. A posteriori error identities for nonlinear variational problemsAnnals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, № 7 (1), p.157-172 2015 
14.Repin S.  Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error ControlComputer Methods in Applied Mathematics, 2015, Vol. 15, no. 4, p.515-530 2015 
15.Mali O., Repin S.  Estimates of the solution set for a class of elliptic problems with incompletely known dataBIT 2015 
16.Repin S.  Exact constants in Poincare type inequalities for functions with zero mean boundary tracesRussian J. Numer. Anal. Math. Modelling, Vol. 30, no. 2, 2015, p.111-120 2015 
17.Langer U., Repin S., Wolfmayr M.  Functional a posteriori error estimates for parabolic time-periodic boundary value problemsComputer Methods in Applied Mathematics, Vol. 15, no. 3, 2015, p.353-372 2015 
18.Matсulevich S., Repin S.  Sharp bounds of constants in Poincare type inequalities for polygonal domainsarXiv:1504.03166, 2015.http://arxiv.org/abs/1504.03166 2015 
19.Nokka M., Repin S. A posteriori error bounds for approximations of the Oseen problem and applications to the Uzawa iteration algorithmComputer Methods in Applied Mathematics, Vol. 14, no. 3, 373-383 2014 
20.Matculevich S., Repin S. Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equationApplied Mathematics and Computation , Vol. 247, 329-347 2014 
21.Matculevich S., Repin S. Estimates of the distance to the exact solution of parabolic problems based on local Poincare type inequalitiesЗаписки научных семинаров ПОМИ , Vol. 425, 7-34 2014 
22.Repin S. Estimates of the distance to the set of divergence free fieldsЗаписки научных семинаров ПОМИ, Vol. 425, 99-116 2014 
23.Repin S.I., Samrowski T.S., Sauter S. A posteriori error majorants of the modeling errors for elliptic homogenization problemsComptes Rendus Mathematique, no. 5, Nov. 2013 2013 
24.Repin S. Estimates of deviations from exact solution of the generalized Oseen problemЗаписки научных семинаров ПОМИ, Vol. 410, P. 110-130 2013 
25.Neittaanmaki P., Repin S., Valdman J. Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditionsRussian J. Numer. Anal. Math. Modelling, Vol. 28, no. 6, P. 597-630 2013 
26.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 parameterДоклады Академии наук, том 88, номер 1, стр. 417-420 2013 
27.Kuznetsov Yu.and Repin S. Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operatorsJournal of Numerical Mathematics, Vol. 21, no. 2, P. 135-156 2013 
28.S. Repin, T. Samrowski, S. Sauter Combined a posteriori modeling--discretization error estimate for elliptic problems with complicated interfacesM2AN (Mathematical Modeling and Numerical Analysis), Vol. 48, P. 1389-1405 2012 
29.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 
30.Repin, S. and Frolov, M.  Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticityJournal of Mathematical Sciences, Vol. 181, No. 2, pp. 281-291 2012 
31.A. Nazarov, S. Repin Exact constants in Poincare type inequalities for functions with zero mean boundary tracesPreprint POMI (arXiv [math. AP], 1211.2224)  2012 
32.I. Anjam, M. Nokka, S. Repin On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithmRussian J. Numer. Anal. Math. Modelling , Vol. 27, no. 4, P. 321-338 2012 
33.S. Repin On measures of errors for nonlinear variational problemsRussian J. Numer. Anal. Math. Modelling , Vol. 27, no. 6, P. 577-584 2012 
34.S. Repin and T. Rossi On the Application of A Posteriori Estimates of the Functional Type to Quantitative Analysis of Inverse ProblemsNumerical Methods for Differential Equations, Optimization, and Technological Problems (Springer, Berlin), P. 109-120 2012 
35.S. Repin, T. Samrowski and S. Sauter Two-sided estimates of the modeling error for elliptic homogenization problemsDepartment of Mathematics, University of Zurich, no. 2012-12 2012 
36.M. Fuchs, S. Repin A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problemNumerical Functional Analysis & Optimization, Vol. 32, no. 6, P. 610-640, 2011 2011 
37.O. Mali, S. Repin Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problemsRussian J. Numer. Anal. Math. Modelling , Vol. 26, no. 4, P. 413-426, 2011 2011 
38.D. Pauly, S. Repin, T. Rossi  Estimates for deviations from exact solutions of the Cauchy problem for Maxwell`s equationsAnnales Academia Scientiarum Fennica, Mathematica, Vol. 36, P. 661-676, 2011 2011 
39.S. Repin, T. Samrowski Estimates of Dimension Reduction Errors for Stationary Reaction-Diffusion ProblemsJournal of Mathematical Sciences, Vol. 173, No. 6, 2011 2011 
40.P. Neittaanmaki, S. Repin, J. Valdman  Functional a posteriori error estimates for elastic problems with nonlinear boundary conditionsMax Planck Institute of Mathematics, no. 13, 2011 2011 
41.Sergey I. Repin, Satyendra K. Tomar Guaranteed & robust error bounds for nonconforming approximations of elliptic problemsIMA Journal of Numerical Analysis , Vol. 31, no. 2, P. 597-615, 2011 2011 
42.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 
43.J. M. Nordbotten, T. Rahman, S. I. Repin, J. Valdman  A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic modelComputational Methods in Applied Mathematics, Vol. 11, no. 3, P. 1-13, 2010 г. ( arXiv:1003.5290) 2010 
44.S. Repin and S. Tomar A posteriori error estimates for approximations of evolutionary convection-diffusion problemsПроблемы математического анализа , Vol. 50, P. 113-123, 2010 г. (J. Math. Sci, 170, no. 4, 554-566) 2010 
45.P. Neittaanmaki, S. Repin  A posteriori error majorants for the evolutionary Stokes problemJournal of Numerical Mathematics (de Gtuyter), Vol. 18, no. 2, P. 119-134, 2010 г. 2010 
46.S. Repin A posteriori estimates for variational inequalitiesNumerical 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 
47.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 
48.M. Fuchs and S. Repin Computable a posteriori error estimates for the approximations of the Hencky plasticity problemPreprint, Universtat des Saarlandes, 2010 2010 
49.S. Repin and S. Sauter Computable estimates of the modeling error related to the Kirchhoff-Love plate modelAnalysis and Applications (WSP), Vol. 8, no. 4, P. 1-20, 2010 2010 
50.M. Fuchs and S. Repin Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluidsMath. Methods Appl. Sci. (Wiley), Vol. 33, no. 9, P. 1136-1147 2010 
51.S. Repin, S. Sauter Estimates of the modeling error for the Kirchhoff-Love plate modelComptes Rendus Mathematique (Elsevier), том 348, номер 17-18, стр. 1039-1043, 2010 г. 2010 
52.Neittaanmaki, Pekka; Repin, Sergey Guaranteed error bounds for conforming approximations of a Maxwell type problemApplied and numerical partial differential equations, 199–211, Comput. Methods Appl. Sci., 15, Springer, New York, 2010 2010 
53.M. Fuchs, S. Repin  Some Poincare-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradientЗаписки научных семинаров ПОМИ , Vol. 385, P. 224-233, 2010 2010 
54.O. Mali and S. Repin Two-sided estimates of the solution set for the reaction-diffusion problem with uncertain dataComput. Methods Appl. Sci. (Springer), Vol. 15, P. 183-198, 2010  2010 
55.I.Anjam, O.Mali, A.Muzalevsky, P.Neittaanmaki, and S.Repin A posteriori error estimates for a Maxwell type problemRussian J. Numer. Anal. Math. Modelling , Vol. 24, 5 2009 
56.S. Cochez-Dhondt; S. Nicaise; S. Repin A posteriori error estimates for finite volume approximationsMath. Model. Nat. Phenom. , Vol. 4, no. 1. 2009 2009 
57.S. Repin; S. Sauter Computable estimates of the modeling error related to Kirchhoff-Love plate modelInstitute of Mathematics University of Zurich, no. 11-2009 2009 
58.S.K. Tomar and S.I. Repin Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problemsJournal of Computational and Applied Mathematics , Vol. 226, no. 2. 2009 2009 
59.S. Repin Estimates of deviations from exact solutions for variational problems with linear growth functionalsЗаписки научных семинаров ПОМИ , Vol. 370 2009 
60.S. Repin Estimates of deviations from exact solutions of initial boundary value problems for the wave equationПроблемы математического анализа , Vol. 41 2009 
61.S. Repin Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger estimateJ. Math. Sci. new. York, Vol. 157, no. 6. 2009 2009 
62.D. Pauly; S. Repin Functional a posteriori error estimates for elliptic problems in exterior domainsПроблемы математического анализа , Vol. 44, P. 1-16 2009 
63.S. Repin and J. Valdman Functional a posteriori error estimates for incremental models in elasto-plasticityCentral European Mathematical Journal , Vol. 7, no. 3. 2009 2009 
64.M. Bildhauer, M. Fuchs, S. Repin The Elastic-Plastic Torsion Problem: A Posteriori Error Estimates for Approximate SolutionsNumerical Functional Analysis and Optimization, Vol. 30, no. 7-8. 2009 2009 
65.D. Pauly, S. Repin Two-Sided A Posteriori Error Bounds for Electro-Magneto Static ProblemsЗаписки научных семинаров ПОМИ , том 370 2009 
66.S. Repin Advanced forms of functional a posteriori estimates for elliptic problemsJournal of Numer. Anal. Math. Modelling , том 23, номер 5, стр. 505-521, 2008 г. 2008 
67.M. Bildhauer, M. Fuchs, S. Repin Duality based on posteriori error estimates for higher order variational inequalities with power growth functionalsAnn. Acad. Sci. Fenn. Math., том 33, номер 2, стр. 475-490, 2008 г. 2008 
68.S. Repin and J. Valdman Functional a posteriori error estimates for problems with nonlinear boundary conditionsJournal of Numerical Mathematics, v16, №1, 2008, рр 51-81 2008 
69.P. Neittaanmaki, S. Repin, P. Turchyn New a posteriori error indicator in terms of linear functionals for linear elliptic problemsJournal of Numer. Anal. Math. Modelling , том 23, номер 1, стр. 77-87, 2008 г. 2008 
70.S. Repin, R. Stenberg Two-sided a posteriori estimates for generalized Stokes problemЗаписки научных семинаров ПОМИ , 2008 г. 2008 
71.E. Gorshkova, P. Neittaanmaki, S. Repin A posteriori error estimate for viscous flow problems with rotationAdaptive Numerical methods for PDE's, маthatisches Forschungsinstitut Oberwolfach 2007 
72.E. Gorshkova, A. Mahalov, P. Neittaanmaki, S. Repin A posteriori error estimates for viscous fluids with rotationJournal of mathematical Sciences, Vol. 142, No. 1 2007 
73.Репин С.И., Фролов М.Е.  Применение методов математической физики к контролю точности решений задач механикиНаучно-технические ведомости СПбГПУ, Вып.1  2007 
74.Repin S.I. (with M. Bildhauer, M. Fuchs) A posteriori error estimates for stationary slow flows of power–law fluidsInternational Journal of Non-Newtonian Fluids 2006 
75.Repin S.I. (with M. Bildhauer) Estimates for the deviation from exact solutions of variational problems with power growth functionalsZapiski Nauchnych Seminarov POMI, 2006 2006 
76.Repin S.I. (with M. Fuchs) Estimates for the deviation from the exact solutions of variational problems modeling certain classes of generalized Newtonian fluidsMathematical Methods in Applied Sciences 2006 
77.Repin S.I., Frolov M.E. Estimation of Deviations from the Exact Solution for the Reissner-Mindlin Plate ProblemJ. of Math. Sciences, V.132, No.3, 2006, P. 331–338 2006 
78.Repin S.I. (with R. Lazarov and S. Tomar). Functional a posteriori error estimates for Discontinuous Galerkin methodRadon Institute of Computational and Applied Mathematics of Austrian Academy of Sciences, Preprint 32-2006 2006 
79.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 
80.Repin S.I. (with S. Sauter) Functional A Posteriori Estimates for the Reaction-Di_usion ProblemC. R. Acad. Sci. Paris, Ser. 1, 343(2006), 349–354 2006 
81.M.E. Frolov, P. Neittaanmaki and S.I. Repin Guaranteed functional error estimates for the Reissner-Mindlin plate problemJ. of Math. Sciences, V.132, No.4, pp. 553-561, 2006 
82.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 
83.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 
84.А. Гаевская, С. Репин. Апостериорние оценки погрешности приближённых решений линейных параболических задач.Дифференциальные уравнения, 41, 7 2005 
85.Фролов М. Е., Нейттаанмяки П., Репин С. И. Гарантированные функциональные оценки погрешности для задачи о пластине Рейсснера-Миндлина.Проблемы математического анализа, No.31 2005 
86.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 
87.S.I. Repin. A posteriori estimates in local norms.J. Math. Sci. (New York), Nov, 3 2004 
88.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 
89.S.I. Repin, P. Neittaanmaki. Error control and a posteriori estimates.Elsevier, New York, London 2004 
90.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 
91.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 
92.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 
93.С.И. Репин. Оценки отклонений от точных решений краевых задач с условием несжимаемостиАлгебра и Анализ, 16, 5 2004 
94.Repin S. A posteriori error estimates with account of indeterminacy of the problem data.Russ. J. Numer. Anal. Math. Modelling 18, n. 6 2003 
95.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 
96.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 
97.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 
98.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 
99.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 
100.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 
101.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 
102.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 
103.Repin S.I. A posteriori error estimates for variational problems with uniformly convex functionals.Mathematics of Computations, v. 69 2000 
104.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 
105.Repin S.I. Estimates of deviations from exact solutions of elliptic variational inequalities.Zapiski Nauchn. Semin. POMI, v. 271 2000 
106.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 
107.Repin S.I. A posteriori estimates for the Stokes problem.Записки научных семинаров математического института им. В.А. Стеклова. Том 259 1999 
108.Репин С.И. Апостериорные оценки точности вариационных методов в задачах с невыпуклыми функционалами.Алгебра и анализ, том 11 , N4 1999 
109.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 
110.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 
111.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 
112.Repin S.I. A posteriori error estimation for problems with power growth functionals.  Zapiski Nauchn. Semin. POMI, 249(1997), 244--255. 1997 
113.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 
114.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 
115.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 
116.Repin S.I. A priory error estimates of variational-difference methods for Hencky plasticity problems.  Zapiski Nauchn. Semin. POMI, 221(1995), 226-234. 1995 
117.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 
118.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 
119.Neittaanmaki P., Repin S., Rivkind V. Discontinuous finite element approximationsfor functionals with linear growth. East-West J.Numer.Math., 2, 3, 212-228. 1994 
120.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 
121.Repin S.I. Numerical analysis of no nonsmooth variational problems of perfect plasticity.  Russ. J. Numer. Anal. Math. Modell., 9(1994), 33-46. 1994 
122.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 
123.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 
124.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 
125.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 
126.Солонина Н.В., Бычков А.К., Репин С.И. О методе конечных элементов для задач идеальной пластичности.Труды СпбГТУ. Прикладная математика.СПбГТУ, 1992. 1992 
127.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 
128.S. Repin. On the variational formulations using discontinuous displacements fields for problems of perfect plasticity.PMM (Prikl. Maths. Mechs.}, 55, 6 1991 
129.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 
130.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 
131.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 
132.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 
133.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 
134.Petukhov L.V., Repin S.I. Development refined methods and combined programs of computation of cryo-turbo-generatorReport of the Leningrad Polytechnical Institute, N507108. Leningrad, part 1, 1982, 138p.; part 2, 1983, 77p.; part 3, 1986, 96p. 1986 
135.Repin S., Seregin G. A Method of Shape Optimization for Elastic Plates Buckling Problem. (in Russian). Applied Mechanics, 28(1984), N10,117-120  1984 
136.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 
137.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
NАвторыНазваниеИзданиеГод
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 fieldsContributions 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 ApproximationThe 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 conditionInternational 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 FrameFifth 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 MechanicsFifth 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 EstimatesHakutuloksetMathematical 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 estimatesProc. 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 problemsWorkshop 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 approximationsScientific 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 problemsWorkshop 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 RotationWorkshop"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 RotationPetrovskii 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 RotationADMOS 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 problemsProceedings 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 problemProc. 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 ProblemsProc. 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 функционаловПолитехнический симпозиум. СПбГПУ, Декабрь 2006 2006 
23.A. Gaevskaya, and S. Repin. A posteriori error estimates for linear parabolic problemsUniversity 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 ProblemInternational 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 ProblemsUniversity 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 ConstraintsTomar (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 ConstraintsJohann 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 methodsMarch 1-2, University of Houston, Texas, USA. 2003 
33.Repin S. Reliable Methods of Mathematical Modelling and Applications in Science and TechnologySeptember 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 "Computational Plasticity"Kiel, Germany,August 27--29 1999 
 
Рукописные труды (диссертации, отчеты и пр.)
NАвторыНазваниеИзданиеГод
1.Репин С.И., соавторы Отчет по гранту РФФИ 060507801 2008 
2.Репин С.И. Вариационно-разностные методы для математических задач теории пластичности. Диссертация на соискание учёной степени доктора физико-математических наукСПб.: СПбГТУ 1994 
3.Репин С.И. Оптимизация формы упругих тел в задачах о собственных значениях. Диссертация на соискание учёной степени кандидата физико-математических наукСПб.: СПбГТУ 1983