Преподаватели - Кафедра прикладной математики СПбГПУ

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О кафедре

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

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.
Calculus of variations and duality theory. Existence, regularity and approximation of solutions to variational problems and variational inequalities.
Mathematical and numerical analysis of problems in plasticity and nonlinear elasticity.
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

International Science Foundation (ISF), Grant N MLROOO, 1994.
Russian Foundation of Basic Researches (RFBR ), Grant N 94-0100120a, 1994.
INTAS, Grant N 94-1386, 1994.
ISF, Grant N MLR3OO, 1995.
Royal Society of London, 1996 (personal 6 months grant);
RFBR, Grant N 96-0101664, 1996.
State Committee of Higher Education of Russia, Grant N 95-0-2.2-14, 1996-1998.
INTAS, Grant N 96-835, 1997-2000.
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

N	Студент	Группа	Квалификация / Степень	Год	Тема
1.	Мацулевич Светлана Викторовна	63601/1	Магистр	2012	Гарантированные оценки для задач линейной алгебры и класса итерационных методов Пикара-Линделефа
2.	Мацулевич Светлана Викторовна	43601/1	Бакалавр	2010	Интегрирование обыкновенных дифференциальных уравнений с гарантированной точностью
3.	Николаев Иван Романович	63601/1	Магистр	2008	Апостериорные оценки точности приближенных решний уравнения реакции-диффузии
4.	Торбан (Гиниятулина) Ольга Радмировна	63601/1	Магистр	2008	Апостериорные оценки точности решения эллиптических уравнений с учетом неопределенности в данных задачи
5.	Талалов Олег Викторович	63601/2	Магистр	2007	Апостериорные оценки качества приближенных решений краевых задач в терминах линейных функционалов
6.	Николаев Иван Романович	43601/1	Бакалавр	2006	Апостериорные оценки точности приближенных решений уравнения реакции-диффузии
7.	Торбан (Гиниятулина) Ольга Радмировна	43601/1	Бакалавр	2006	Апостериорные оценки точности приближенного решения эллиптических уравнений с учетом неопределенности в данных задачи
8.	Талалов Олег Викторович	43601/2	Бакалавр	2005	Оценка точности приближенных решений краевых задач в терминах проблемно-ориентированных функционалов

Основные публикации

N	Авторы	Название	Издание	Год

Монографии
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 "Computational Plasticity"	Kiel, Germany,August 27--29	1999

Рукописные труды (диссертации, отчеты и пр.)
N	Авторы	Название	Издание	Год
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 наук	СПб.: СПбГТУ	1994
3.	Репин С.И.	Оптимизация формы упругих тел в задачах о собственных значениях. Диссертация на соискание учёной степени кандидата физико-математических наук	СПб.: СПбГТУ	1983

Адрес кафедры

Репин Сергей Игоревич