Sysala, Stanislav; Haslinger, Jaroslav; Reddy, B. Daya; Repin, Sergey An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications. (English) Zbl 07423871 Math. Models Methods Appl. Sci. 31, No. 8, 1593-1623 (2021). MSC: 90C46 90C25 74C05 74P99 PDF BibTeX XML Cite \textit{S. Sysala} et al., Math. Models Methods Appl. Sci. 31, No. 8, 1593--1623 (2021; Zbl 07423871) Full Text: DOI arXiv OpenURL
Sysala, Stanislav; Haslinger, Jaroslav; Repin, Sergey Reliable computation and local mesh adaptivity in limit analysis. (English) Zbl 1463.49041 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 149-158 (2019). Reviewer: Ondřej Bartoš (Praha) MSC: 49M15 74C05 74S05 90C25 PDF BibTeX XML Cite \textit{S. Sysala} et al., in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 149--158 (2019; Zbl 1463.49041) Full Text: DOI OpenURL
Repin, Sergey; Sysala, Stanislav; Haslinger, Jaroslav Computable majorants of the limit load in Hencky’s plasticity problems. (English) Zbl 1458.74022 Comput. Math. Appl. 75, No. 1, 199-217 (2018). MSC: 74C05 74S99 PDF BibTeX XML Cite \textit{S. Repin} et al., Comput. Math. Appl. 75, No. 1, 199--217 (2018; Zbl 1458.74022) Full Text: DOI OpenURL
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. (English) Zbl 1413.49038 Appl. Math., Praha 61, No. 5, 527-564 (2016). Reviewer: Stanisław Migórski (Kraków) MSC: 49M15 74C05 74S05 90C25 PDF BibTeX XML Cite \textit{J. Haslinger} et al., Appl. Math., Praha 61, No. 5, 527--564 (2016; Zbl 1413.49038) Full Text: DOI Link OpenURL
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav A reliable incremental method of computing the limit load in deformation plasticity based on compliance: continuous and discrete setting. (English) Zbl 1381.74030 J. Comput. Appl. Math. 303, 156-170 (2016). MSC: 74C05 74S05 65N30 PDF BibTeX XML Cite \textit{J. Haslinger} et al., J. Comput. Appl. Math. 303, 156--170 (2016; Zbl 1381.74030) Full Text: DOI arXiv OpenURL
Neittaanmäki, P.; Repin, S.; Valdman, J. Estimates of deviations from exact solutions for elasticity problems with nonlinear boundary conditions. (English) Zbl 1282.74107 Russ. J. Numer. Anal. Math. Model. 28, No. 6, 597-630 (2013). MSC: 74S30 74P10 74M10 49J40 74C99 PDF BibTeX XML Cite \textit{P. Neittaanmäki} et al., Russ. J. Numer. Anal. Math. Model. 28, No. 6, 597--630 (2013; Zbl 1282.74107) Full Text: DOI OpenURL
Fuchs, M.; Repin, S. Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient. (English) Zbl 1305.74038 J. Math. Sci., New York 178, No. 3, 367-372 (2011) and Zap. Nauchn. Semin. POMI 385, 224-233 (2010). MSC: 74G40 74C05 26D10 35A23 35Q74 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{S. Repin}, J. Math. Sci., New York 178, No. 3, 367--372 (2011; Zbl 1305.74038) Full Text: DOI Link OpenURL
Fuchs, M.; Repin, S. A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. (English) Zbl 1419.74076 Numer. Funct. Anal. Optim. 32, No. 6, 610-640 (2011). MSC: 74C05 74G65 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{S. Repin}, Numer. Funct. Anal. Optim. 32, No. 6, 610--640 (2011; Zbl 1419.74076) Full Text: DOI OpenURL
Repin, Sergey I.; Valdman, Jan Functional a posteriori error estimates for incremental models in elasto-plasticity. (English) Zbl 1269.74202 Cent. Eur. J. Math. 7, No. 3, 506-519 (2009). MSC: 74S05 65K15 65N30 74C05 PDF BibTeX XML Cite \textit{S. I. Repin} and \textit{J. Valdman}, Cent. Eur. J. Math. 7, No. 3, 506--519 (2009; Zbl 1269.74202) Full Text: DOI Link OpenURL
Bildhauer, M.; Fuchs, M.; Repin, S. The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. (English) Zbl 1172.74033 Numer. Funct. Anal. Optim. 30, No. 7-8, 653-664 (2009). MSC: 74K10 74C05 49J40 PDF BibTeX XML Cite \textit{M. Bildhauer} et al., Numer. Funct. Anal. Optim. 30, No. 7--8, 653--664 (2009; Zbl 1172.74033) Full Text: DOI OpenURL
Bildhauer, Michael; Fuchs, Martin; Repin, Sergey A functional type a posteriori error analysis for the Ramberg-Osgood model. (English) Zbl 1128.74006 ZAMM, Z. Angew. Math. Mech. 87, No. 11-12, 860-876 (2007). MSC: 74B20 74G45 74C05 35Q72 PDF BibTeX XML Cite \textit{M. Bildhauer} et al., ZAMM, Z. Angew. Math. Mech. 87, No. 11--12, 860--876 (2007; Zbl 1128.74006) Full Text: DOI OpenURL
Repin, Sergey I. Errors of finite element method for perfectly elasto-plastic problems. (English) Zbl 0856.73071 Math. Models Methods Appl. Sci. 6, No. 5, 587-604 (1996). MSC: 74S05 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{S. I. Repin}, Math. Models Methods Appl. Sci. 6, No. 5, 587--604 (1996; Zbl 0856.73071) Full Text: DOI OpenURL
Repin, S. I.; Muzalevskij, A. V. Numerical modelling of discontinuous solutions of the problems of ideal plasticity. (Russian. English summary) Zbl 1071.74712 Mat. Model. 8, No. 4, 113-127 (1996). MSC: 74S20 74C05 PDF BibTeX XML Cite \textit{S. I. Repin} and \textit{A. V. Muzalevskij}, Mat. Model. 8, No. 4, 113--127 (1996; Zbl 1071.74712) Full Text: MNR OpenURL
Repin, S. I. Discontinuous finite-element approximations for problems of perfect plasticity. (English) Zbl 0921.73127 Z. Angew. Math. Mech. 76, Suppl. 1, 505-506 (1996). MSC: 74C99 74S05 PDF BibTeX XML Cite \textit{S. I. Repin}, Z. Angew. Math. Mech. 76, 505--506 (1996; Zbl 0921.73127) Full Text: DOI OpenURL
Repin, Sergey I.; Xanthis, Leonidas S. A posteriori error estimation for elasto-plastic problems based on duality theory. (English) Zbl 0886.73082 Comput. Methods Appl. Mech. Eng. 138, No. 1-4, 317-339 (1996). MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{S. I. Repin} and \textit{L. S. Xanthis}, Comput. Methods Appl. Mech. Eng. 138, No. 1--4, 317--339 (1996; Zbl 0886.73082) Full Text: DOI OpenURL
Repin, Sergej On the approximation of discontinuous solutions of some problems in nonlinear mechanics and geometry. (English) Zbl 0862.73079 Elaydi, Saber N. (ed.) et al., Proceedings of the first international conference on difference equations, Trinity University, San Antonio, TX, USA, May 25-28, 1994. London: Gordon and Breach. 439-453 (1995). MSC: 74S30 74P10 74C99 74S05 PDF BibTeX XML Cite \textit{S. Repin}, in: Proceedings of the first international conference on difference equations, Trinity University, San Antonio, TX, USA, May 25-28, 1994. London: Gordon and Breach. 439--453 (1995; Zbl 0862.73079) OpenURL
Repin, S.; Seregin, G. Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. (English) Zbl 0890.73079 Uraltseva, N. N. (ed.), Nonlinear evolution equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 164 (22), 189-220 (1995). Reviewer: G.Olenev (Tartu) MSC: 74S30 74P10 74C99 49J35 49J52 PDF BibTeX XML Cite \textit{S. Repin} and \textit{G. Seregin}, Transl., Ser. 2, Am. Math. Soc. 164, 189--220 (1995; Zbl 0890.73079) OpenURL
Repin, S. I. A priori error estimates of variational-difference methods for problems of Hencky plasticity. (Russian. English summary) Zbl 0894.73228 Ladyzhenskaya, O. A. (ed.), Boundary value problems of mathematical physics and adjacent problems of function theory. 26. Work collection. Dedicated to N. N. Ural’tseva on her anniversary. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 221, 226-234 (1995). MSC: 74S30 74P10 74C99 74S05 65N30 PDF BibTeX XML OpenURL
Repin, S.; Seregin, G. Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. (English) Zbl 0899.73532 Int. J. Eng. Sci. 33, No. 2, 255-268 (1995). MSC: 74S05 74C99 65N15 PDF BibTeX XML Cite \textit{S. Repin} and \textit{G. Seregin}, Int. J. Eng. Sci. 33, No. 2, 255--268 (1995; Zbl 0899.73532) Full Text: DOI OpenURL
Repin, S. I. A priori error estimates of variational-difference methods for Hencky plasticity problems. (English. Russian original) Zbl 0927.74080 J. Math. Sci., New York 87, No. 2, 3421-3427 (1997); translation from Zap. Nauchn. Semin. POMI 221, 226-234 (1995). MSC: 74S30 74C99 74S05 65N30 PDF BibTeX XML Cite \textit{S. I. Repin}, J. Math. Sci., New York 87, No. 2, 3421--3427 (1995; Zbl 0927.74080); translation from Zap. Nauchn. Semin. POMI 221, 226--234 (1995) Full Text: DOI OpenURL
Repin, S. I. The solutions of problems in the mathematical theory of plasticity with discontinuities in the displacement fields. (English. Russian original) Zbl 0822.73030 J. Appl. Math. Mech. 58, No. 1, 149-160 (1994); translation from Prikl. Mat. Mekh. 58, No. 1, 142-152 (1994). MSC: 74C99 74S30 74P10 PDF BibTeX XML Cite \textit{S. I. Repin}, J. Appl. Math. Mech. 58, No. 1, 1 (1994; Zbl 0822.73030); translation from Prikl. Mat. Mekh. 58, No. 1, 142--152 (1994) Full Text: DOI OpenURL
Repin, S. I. Numerical analysis of nonsmooth variational problems of perfect plasticity. (English) Zbl 0820.73079 Russ. J. Numer. Anal. Math. Model. 9, No. 1, 61-74 (1994). MSC: 74S30 74P10 74C99 74S05 PDF BibTeX XML Cite \textit{S. I. Repin}, Russ. J. Numer. Anal. Math. Model. 9, No. 1, 61--74 (1994; Zbl 0820.73079) Full Text: DOI OpenURL
Repin, S. I. On approximation of solutions to variational problems in the theory of perfect plasticity. (English. Russian original) Zbl 0816.73077 Russ. Math. 38, No. 9, 59-68 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 9(38), 60-69 (1994). MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{S. I. Repin}, Russ. Math. 38, No. 9, 60--69 (1994; Zbl 0816.73077); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 9(38), 60--69 (1994) OpenURL
Repin, S. I. Variational formulations for various translation fields in ideal plasticity problems. (English. Russian original) Zbl 0807.73028 Sov. Phys., Dokl. 36, No. 10, 691-693 (1991); translation from Dokl. Akad. Nauk SSSR 320, No. 6, 1340-1344 (1991). MSC: 74C99 74S30 74P10 PDF BibTeX XML Cite \textit{S. I. Repin}, Sov. Phys., Dokl. 36, No. 10, 691--693 (1991; Zbl 0807.73028); translation from Dokl. Akad. Nauk SSSR 320, No. 6, 1340--1344 (1991) OpenURL
Repin, S. I. Variational formulations for discontinuous displacement fields in problems of the deformation theory of plasticity without hardening. (English. Russian original) Zbl 0818.73078 J. Appl. Math. Mech. 55, No. 6, 910-920 (1991); translation from Prikl. Mat. Mekh. 55, No. 6, 1026-1034 (1991). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{S. I. Repin}, J. Appl. Math. Mech. 55, No. 6, 1 (1991; Zbl 0818.73078); translation from Prikl. Mat. Mekh. 55, No. 6, 1026--1034 (1991) Full Text: DOI OpenURL