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Монографии |
N | Авторы | Название | Издание | Год |
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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 |
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Учебно и научно-методические работы |
N | Авторы | Название | Издание | Год |
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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 |
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Статьи |
N | Авторы | Название | Издание | Год |
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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 |
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Доклады, тезисы и материалы конференций |
N | Авторы | Название | Издание | Год |
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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 |
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Рукописные труды (диссертации, отчеты и пр.) |
N | Авторы | Название | Издание | Год |
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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 |