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Rukavishnikov, Viktor Anatolevich

Total publications: 142 (142)
in MathSciNet: 48 (48)
in zbMATH: 48 (48)
in Web of Science: 63 (63)
in Scopus: 74 (74)
Cited articles: 64
Citations: 592

Number of views:
This page:8738
Abstract pages:5415
Full texts:1776
References:652
Professor
Doctor of physico-mathematical sciences
E-mail: ; ,

https://www.mathnet.ru/eng/person32690
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:rukavishnikov.victor-anatolievich
https://mathscinet.ams.org/mathscinet/MRAuthorID/195858
https://orcid.org/0000-0002-3702-1126
https://www.webofscience.com/wos/author/record/AAT-7143-2021

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. V. A. Rukavishnikov, H. I. Rukavishnikova, “The Finite Element Method For Boundary Value Problem With Strong Singularity”, Journal of Computational and Applied Mathematics, 234:9 (2010), 2870–2882  crossref  mathscinet  zmath  isi  elib  scopus 36
2. V. A. Rukavishnikov, A. O. Mosolapov, “New numerical method for solving time-harmonic Maxwell equations with strong singularity”, Journal of Computational Physics, 231 (2012), 2438–2448  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 35
3. V. A. Rukavishnikov, A. V. Rukavishnikov, “Weighted finite element method for the Stokes problem with corner singularity”, Journal of Computational and Applied Mathematics, 341 (2018), 144-156  crossref  mathscinet  zmath  isi  elib  scopus 30
4. V.A. Rukavishnikov, A.O. Mosolapov, E.I. Rukavishnikova, “Weighted finite element method for elasticity problem with a crack”, Computers and Structures, 243 (2021), 106400  crossref  isi  scopus 23
5. V. A. Rukavishnikov, “On the existence and uniqueness of an R (nu)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data”, Docl. Math, 90:2 (2014), 562-564  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
6. V. A. Rukavishnikov, “Methods of numerical analysis for boundary value problem with strong singularity”, Russian Journal of Numerical Analysis and Mathematical Modelling, 24:6 (2009), 565–590  crossref  mathscinet  zmath  isi  elib  scopus 22
7. V. A. Rukavishnikov, E. I. Rukavishnikova, “Existence and Uniqueness of an Rν-Generalized Solution of the Dirichlet Problem for the Lamé System with a Corner Singularity”, Differential Equations, 55:6 (2019), 832–840  crossref  crossref  mathscinet  zmath  isi  elib  scopus
8. V. A. Rukavishnikov, A. O. Mosolapov, “Weighted edge finite element method for Maxwell's equations with strong singularity”, Dokl. Math., 87:2 (2013), 156–159  crossref  crossref  mathscinet  mathscinet  zmath  zmath  isi  elib  scopus
9. V. A. Rukavishnikov, H. I. Rukavishnikova, “On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space”, Numerical Functional Analysis and Optimization, 34:12 (2013), 1328–1347  crossref  mathscinet  zmath  isi  elib  scopus 21
10. V. A. Rukavishnikov, S. G. Nikolaev, “Weighted Finite Element Method for an Elasticity Problem with Singularity”, Dokl. Math., 88:3 (2013), 705–709  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
11. V. A. Rukavishnikov, A. G. Ereklintsev, “On the coercivity of the $R_\nu$-generalized solution of the first boundary value problem with coordinated degeneration of the input data”, Differ. Equ., 41:12 (2005), 1757–1767  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
12. V. A. Rukavishnikov, E. V. Kuznetsova, “The $R_\nu$ -generalized solution of a boundary value problem with a singularity belongs to the space $W^{k+2}_{2,\nu+\beta/2+k+1}(\Omega,\delta)$”, Differ. Equ., 45:6 (2009), 913–917  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
13. V. A. Rukavishnikov, E. V. Kuznetsova, “Coercive estimate for a boundary value problem with noncoordinated degeneration of the data”, Differ. Equ., 43:4 (2007), 550–560  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
14. V. A. Rukavishnikov, E. I. Rukavishnikova, “On the Dirichlet Problem with Corner Singularity”, Mathematics, 8:11 (2020), 1870  crossref  isi  scopus 15
15. V. A. Rukavishnikov, A. V. Rukavishnikov, “New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity”, Symmetry, 11:1 (2019), 54  crossref  zmath  isi  elib  scopus 15
16. Viktor A. Rukavishnikov, “Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity”, Numerical Mathematics and Advanced Applications - ENUMATH 2015, Lecture Notes in Computational Science and Engineering, 112, 2016, 411-419  crossref  mathscinet  zmath  isi  elib  scopus 13
17. V. A. Rukavishnikov, E. V. Kuznetsova, “A scheme of a finite element method for boundary value problems with non-coordinated degeneration of input data”, Num. Anal. Appl., 2:3 (2009), 250–259  mathnet  crossref  elib  elib  scopus
18. Rukavishnikov, VA Rukavishnikova, EI, “Error estimate FEM for the Nikolskij-Lizorkin problem with degeneracy”, Journal of Computational and Applied Mathematics, 403 (2022), 113841  crossref  isi  scopus 12
19. V. A. Rukavishnikov, E. I. Rukavishnikova, “Numerical Method for Dirichlet Problem with Degeneration of the Solution on Entire Boundary”, Symmetry, 11:12 (2019), 1455  crossref  isi  scopus 10
20. V. A. Rukavishnikov, A. V. Rukavishnikov, “New approximate method for solving the Stokes problem in a domain with corner singularity”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:1 (2018), 95–108  mathnet  crossref  isi  elib  scopus 10
21. V. A. Rukavishnikov, S. G. Nikolaev, “On the R (nu)-generalized solution of the Lam\e system with corner singularity”, Doklady Mathematics, 92:1 (2015), 421-423  crossref  crossref  mathscinet  zmath  zmath  isi  elib  scopus
22. V. A. Rukavishnikov, E. I. Rukavishnikova, “On the isomorphic mapping of weighted spaces by an elliptic operator with degeneration on the domain boundary”, Differential Equations, 50:3 (2014), 345-351  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
23. V. A. Rukavishnikov, O. P. Tkachenko, “Chislennoe i asimptoticheskoe reshenie uravnenii rasprostraneniya gidrouprugikh kolebanii v izognutom truboprovode”, Prikladnaya mekhanika i tekhnicheskaya fizika, 41:6 (2000), 161–169  mathscinet  zmath  elib 9
24. V. A. Rukavishnikov, O. P. Tkachenko, “Numerical and asymptotic solution of the equations of propagation of hydroelastic vibrations in a curved pipe”, J. Appl. Mech. Tech. Phys., 41:6 (2000), 1102–1110  mathnet  crossref  elib
25. V.A. Rukavishnikov, O.P. Tkachenko, “Mathematical model of the pipeline with angular joint of elements”, Mathematical Methods in the Applied Sciences, 43:13 (2020), 7550-7568  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 8
26. V. A. Rukavishnikov, O. P. Tkachenko, “Mathematical model of the pipeline with angular joint of elements”, Mathematical Methods in the Applied Sciences, 2019, 1-19  crossref  isi  elib  scopus 8
27. V. A. Rukavishnikov, E. I. Rukavishnikova, “Metod konechnykh elementov dlya pervoi kraevoi zadachi s soglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 338:6 (1994), 731–733  mathnet  mathscinet  zmath  isi; V. A. Rukavishnikov, E. I. Rukavishnikova, “The finite element method for the first boundary value problem with coordinated degeneration of the initial data”, Russian Acad. Sci. Dokl. Math., 50:2 (1995), 335–339  mathscinet  zmath 8
28. Alexey V. Rukavishnikov and Viktor A. Rukavishnikov, “New Numerical Approach for the Steady-State Navier–Stokes Equations with Corner Singularity”, International Journal of Computational Methods, 2022, no. 19, 2250012  crossref  isi  scopus 7
29. V. A. Rukavishnikov, E. I. Rukavishnikova, Weighted Finite-Element Method for Elasticity Problems with Singularity, Finite Element Method. Simulation, Numerical Analysis and Solution Techniques, eds. Păcurar Răzvan, IntechOpen Limited, London, 2018 , P. 295-311. ISBN 978-953-51-3850-1, Print ISBN 978-953-51-3849-5  crossref  elib 7
30. V. A. Rukavishnikov, O. P. Tkachenko, “Numerical analysis of the mathematical model of hydroelastic oscillations in a curved pipeline”, Math. Models Comput. Simul., 3:4 (2011), 508–516  mathnet  crossref  mathscinet  elib  elib  scopus
31. V. A. Rukavishnikov, O. P. Tkachenko, “The Korteweg–de Vries equation in a cylindrical pipe”, Comput. Math. Math. Phys., 48:1 (2008), 139–146  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
32. V. A. Rukavishnikov, “O differentsialnykh svoistvakh $R_\nu$-obobschennogo resheniya zadachi Dirikhle”, Dokl. AN SSSR, 309:6 (1989), 1318–1320  mathnet  mathscinet  mathscinet  zmath  isi; V. A. Rukavishnikov, “Differential properties of an $R_\nu$-generalized solution of the Dirichlet problem”, Soviet Math. Dokl., 40:3 (1990), 653–655  mathscinet  mathscinet  zmath 7
33. V. A. Rukavishnikov, O. P. Tkachenko, “Approximate solution to the nonlinear problem of an underground pipeline deformation”, J. Appl. Industr. Math., 6:1 (2012), 100–110  mathnet  crossref  mathscinet  elib  elib  scopus
34. A. Yu. Bespalov, V. A. Rukavishnikov, “The use of singular functions in the $h$-$p$ version of the finite element method for a Dirichlet problem with degeneration of the input data”, Sib. zhurn. vychisl. matem., 4:3 (2001), 201–228  mathnet  zmath 6
35. V. A. Rukavishnikov, A. Yu. Bespalov, “On the $h$-$p$ version of the finite element method for one-dimensional boundary value problem with singularity of a solution”, Sib. zhurn. vychisl. matem., 1:2 (1998), 153–170  mathnet  mathscinet  zmath 6
36. Viktor A. Rukavishnikov, Alexey V. Rukavishnikov, “On the Properties of Operators of the Stokes Problem with Corner Singularity in Nonsymmetric Variational Formulation”, Mathematics, 10:6 (2022), 889 https://www.mdpi.com/2227-7390/10/6/889  crossref  isi  scopus 5
37. Rukavishnikov, V.A.; Rukavishnikov, A.V., “On the Existence and Uniqueness of an Rν-Generalized Solution to the Stokes Problem with Corner Singularity”, Mathematics, 10(10) (2022), 1752 , 14 pp.  crossref  isi  scopus 5
38. V.A. Rukavishnikov, A.V. Rukavishnikov, “The method of numerical solution of the one stationary hydrodynamics problem in convective form in L-shaped domain”, Computer Research and Modeling, 12:6 (2020), 1291-1306 (in russian)  mathnet  crossref  elib  scopus
39. V. A. Rukavishnikov, O. P. Tkachenko, “Effect of the pipe curvature on internal elastic wave propagation”, Comput. Math. Math. Phys., 50:11 (2010), 1886–1894  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
40. V. A. Rukavishnikov, “O zadache Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Differentsialnye uravneniya, 32:3 (1996), 402–408  mathnet  mathscinet  zmath 5
41. Rukavishnikov, Viktor A., and Alexey V. Rukavishnikov, “Theoretical analysis and construction of numerical method for solving the Navier–Stokes equations in rotation form with corner singularity”, Journal of Computational and Applied Mathematics, 429 (2023), 115218  crossref  isi  scopus 4
42. V. A. Rukavishnikov, O. P. Tkachenko, “Dynamics of a fluid-filled curvilinear pipeline”, Applied Mathematics and Mechanics (English Edition), 39:6 (2018), 905–922  crossref  mathscinet  isi  elib  scopus 4
43. A. V. Rukavishnikov, V. A. Rukavishnikov, “On the nonconformal finite element method for the Stokes problem with a discontinuous coefficient”, Sib. Zh. Ind. Mat., 10:4 (2007), 104–117  mathnet  mathscinet
44. V. A. Rukavishnikov, O. P. Tkachenko, “Nelineinye uravneniya dvizheniya rastyazhimogo podzemnogo truboprovoda: vyvod i chislennoe issledovanie”, Prikladnaya mekhanika i tekhnicheskaya fizika, 44:4 (2003), 144–150  zmath  elib 4
45. V. A. Rukavishnikov, O. P. Tkachenko, “Nonlinear equations of motion of an extensible underground pipeline: derivation and numerical modeling”, J. Appl. Mech. Tech. Phys., 44:4 (2003), 571–583  mathnet  crossref  elib
46. V. A. Rukavishnikov, “O edinstvennosti $R_\nu$-obobschennogo resheniya dlya kraevykh zadach s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 376:4 (2001), 451–453  mathnet  mathscinet  zmath  scopus 4
47. V. A. Rukavishnikov, E. V. Kashuba, “On the properties of an orthonormalized singular polynomials set”, Sib. zhurn. vychisl. matem., 2:2 (1999), 171–183  mathnet  zmath 4
48. V. A. Rukavishnikov, E. I. Rukavishnikova, “Dirichlet Problem with Degeneration of the Input Data on the Boundary of the Domain”, Differential Equations, 52:5 (2016), 681-685  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
49. E. V. Kashuba, V. A. Rukavishnikov, “On the $p$-version of the finite element method for the boundary value problem with singularity”, Sib. zhurn. vychisl. matem., 8:1 (2005), 31–42  mathnet  zmath  elib 3
50. V. A. Rukavishnikov, A. Yu. Bespalov, “Eksponentsialnaya skorost skhodimosti metoda konechnykh elementov dlya zadachi Dirikhle s singulyarnostyu resheniya”, Doklady AN, 374:6 (2000), 727–731  mathnet  mathscinet  zmath 3
51. V. A. Rukavishnikov, “Zadacha Dirikhle s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 337:4 (1994), 447–449  mathnet  mathscinet  zmath  isi; V. A. Rukavishnikov, “The Dirichlet problem with noncoordinated degeneration of the initial data”, Russian Acad. Sci. Dokl. Math., 50:1 (1995), 104–107  mathscinet  zmath 3
52. V. A. Rukavishnikov, “On Differential Properties $R_\nu$-Generalized Solution of the Dirichlet Problem with Coordinated Degeneration of the Input Data”, ISRN Mathematical Analysis, 2011 (2011), Article ID 243724 , 18 pp.  crossref  mathscinet  zmath  elib 2
53. V. A. Rukavishnikov, E. I. Rukavishnikova, “On the error estimation of the finite element method for the third boundary value problem with singularity in the space $L_{2,\nu+\gamma}^*$”, Sib. Zh. Vychisl. Mat., 7:2 (2004), 177–185  mathnet  zmath  elib
54. V. A. Rukavishnikov, “O vesovoi otsenke skhodimosti raznostnykh skhem”, Dokl. AN SSSR, 5:288 (1986), 1058–1062  mathnet  mathscinet  mathscinet  zmath  isi 2
55. Rukavishnikov V. A., Rukavishnikova E. I., “Weighted finite element method and body of optimal parameters for elasticity problem with singularity”, Computers & Mathematics with Applications, 151 (2023), 408-417  crossref  isi  scopus 1
56. Viktor A. Rukavishnikov, Oleg P. Tkachenko, “Approximate resolving equations of mathematical model of a curved thin-walled cylinder”, Applied Mathematics and Computation, 422 (2022), 126961  crossref  isi  scopus 1
57. V. A. Rukavishnikov, E. I. Rukavishnikova, “Comparative analysis of the weighted finite element method and FEM with mesh refinement”, AIP Conference Proceedings, 2325 (2021), 020017  crossref  isi  scopus 1
58. V.A. Rukavishnikov, A.O. Mosolapov, “Weighthed vector finite element method and its applications”, Computer Research and Modeling, 11:1 (2019), 71-86  mathnet  crossref  elib  scopus
59. V. A. Rukavishnikov, E. I. Rukavishnikova, “Comparative Analysis of the Finite Element Methods for the Elasticity Problem with Singularity”, AIP Conference Proceedings, 2116 (2019), 450042  crossref  isi  elib  scopus 1
60. V. A. Rukavishnikov, A. V. Rukavishnikov, “Numerical analysis of a hydrodynamics problem with small viscosity”, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), AIP Conference Proceedings, 1738, 2016, 030035  crossref  isi  elib  scopus 1
61. V. A. Rukavishnikov, O. P. Tkachenko, “Numerical modeling of the fluid-filled pipelines in viscous medium”, AIP Conference Proceedings, 1738 (2016), 030036  crossref  isi  elib  scopus 1
62. V. A. Rukavishnikov, O. V. Maslov, A. O. Mosolapov, S. G. Nikolaev, “Automated software complex for determination of the optimal parameters set for the weighted finite element method on computer clusters”, Comp. nanotechnol., 2015, no. 1, 9–19  mathnet  elib
63. V. Rukavishnikov, E. Rukavishnikova., “On the existence and uniqueness of Rv -generalized solution for Dirichlet problem with singularity on all boundary”, Abstract and Applied Analysis, 2014 (2014) , Article number 568726  crossref  mathscinet  isi  elib  scopus 1
64. Viktor A. Rukavishnikov, Elena I. Rukavishnikova, “The finite element method for boundary value problems with strong singularity and double singularity”, Lecture Notes in Computer Science, 8236 (2013), 110–121  crossref  mathscinet  zmath  isi  elib  scopus 1
65. Rukavishnikov, Viktor A., Anna S. Ryabokon, and Oleg P. Tkachenko, “Numerical Investigation of Pipe Deformation Under Pressure With Branch”, International Journal of Applied Mechanics, 15:7 (2023), 2350052 https://www.worldscientific.com/doi/10.1142/S1758825123500527  crossref  isi  scopus
66. Rukavishnikov, Viktor A., and Elena I. Rukavishnikova, “The Finite Element Method of High Degree of Accuracy for Boundary Value Problem with Singularity”, Mathematics, 11:12 (2023), 3272 (to appear)  crossref  isi  scopus
67. Rukavishnikov V. A., “Body of optimal parameters of the weighted finite element method for the elasticity problem with singularity”, AIP Conference Proceedings, 2849 (2023), 450037  crossref  scopus
68. Rukavishnikov V. A., Ryabokon A. S., Tkachenko O. P., “Approximate solution of equations of vibrations propagation in a curved fluid-filled tube”, AIP Conference Proceedings, 2849 (2023), 450038  crossref  scopus
69. Rukavishnikov V. A., Ryabokon A. S., Tkachenko O. P., “Mathematical modeling of the stress–strain state of T‐shaped connection of cylindrical pipes”, Mathematical Methods in the Applied Sciences, 2022, 14 (to appear)  crossref  isi  scopus
70. Rukavishnikov, V.; Rukavishnikova, E., “On the Error Estimation of the FEM for the Nikol’skij-Lizorkin Problem with Degeneracy in the Lebesgue Space”, Symmetry, 2022, no. 14(6), 1276 , 12 pp.  crossref  isi  scopus
71. Rukavishnikov, V. A. ; Seleznev, D. S. ; Guseinov, A. A., “ALGORITHM FOR PROCESSING THE RESULTS OF CALCULATIONS FOR DETERMINING THE BODY OF OPTIMAL PARAMETERS IN THE WEIGHTED FINITE ELEMENT METHOD”, BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 15:4 (2022), 71-79  mathnet  crossref  crossref  isi  scopus
72. Rukavishnikov V. A., “Weighted finite element method with set of optimal parameters for crack problem”, AIP Conference Proceedings, 2522:¹. 1 (2022), 100012  crossref  scopus
73. Rukavishnikov A. V., Rukavishnikov V. A., “Numerical simulation for the one stationary nonlinear hydrodynamics problem in non-convex domain”, AIP Conference Proceedings, 2522:¹. 1 (2022), 100011  crossref  scopus
74. V. A. Rukavishnikov, A.V. Rukavishnikov, “New numerical approach for solving the Oseen problem in a convection form in non-convex domain”, AIP Conference Proceedings, 2325 (2021), 020010  crossref  isi  scopus
75. V.A. Rukavishnikov, “Body of optimal parameters in the weighted finite element method”, CEUR Workshop Proceedings, 2837 (2021), 1-12  scopus
76. V.A. Rukavishnikov, O.P. Tkachenko, “Limit states of a stress-strain pipeline”, CEUR Workshop Proceedings, 2837 (2021), 54-66  scopus
77. A.V. Rukavishnikov, V. A. Rukavishnikov, “Numerical approach for the one stationary nonlinear problem governing the flow of incompressible viscous fluid in L-shaped domain”, CEUR Workshop Proceedings, 2837 (2021), 67-76  scopus
78. V.A. Rukavishnikov, A.O. Mosolapov, E.V. Matveeva, “Computer investigation of the crack problem by the weighted FEM”, CEUR Workshop Proceedings, 2837 (2021), 88-98  scopus
79. V.A. Rukavishnikov, E.V. Matveeva, E.I. Rukavishnikova, “Weighted FEM operationalized for boundary value problems with singularity and inconsistent degeneracy of input data”, CEUR Workshop Proceedings, 2021, 108-118  scopus
80. V.A. Rukavishnikov, A.O. Mosolapov, “Numerical Solution of the Crack Problem by the Weighted FEM”, CEUR Workshop Proceedings, 2930 (2021), 142-147 http://ceur-ws.org/Vol-2930/paper19.pdf  scopus
81. V.A. Rukavishnikov, O.P. Tkachenko, “Mathematical Models of Pipelines Alternative Stress States”, CEUR Workshop Proceedings, 2930 (2021), 173-179 http://ceur-ws.org/Vol-2930/paper24.pdf  scopus
82. A.S. Ryabokon, O.P. Tkachenko, V.A. Rukavishnikov, “Two-Dimensional Mathematical Model of Pipelines with a Complex Intersected Profile”, CEUR Workshop Proceedings, 2930 (2021), 200-205 http://ceur-ws.org/Vol-2930/paper28.pdf  scopus
83. Viktor A. Rukavishnikov, “Body of Optimal Parameters in the Weighted Finite Element Method for the Crack Problem”, Journal of Applied and Computational Mechanics, 7:4 (2021), 2159–2170  crossref  isi  scopus
84. V.A. Rukavishnikov, A.O. Mosolapov, “Vesovoi metod konechnykh elementov dlya sistemy Lame v dvumernoi oblasti s treschinoi”, Informatika i sistemy upravleniya, 2020, no. 1(63), 38-49  crossref  elib
85. V.A. Rukavishnikov, E.V. Matveeva, E.I. Rukavishnikova, “Chislennaya realizatsiya vesovogo metoda konechnykh elementov dlya kraevykh zadach s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Informatika i sistemy upravleniya, 2020, no. 2(64), 75-90  crossref  elib
86. V. A. Rukavishnikov, E. I. Rukavishnikova, “Finite element methods with the special graded mesh for elliptic equation with degeneration on the entire boundary”, AIP Conference Proceedings, 2293 (2020), 100007  crossref  isi  scopus
87. V.A. Rukavishnikov, A.O. Mosolapov, “The Weighted Finite Element Method for the Lamé System in 2D Cracked Domain”, Journal of Physics: Conference Series, 1158 (2019), 042005  crossref  isi  elib  scopus
88. V.A. Rukavishnikov, A.V. Rukavishnikov, “The Method of Numerical Analysis for the Hydrodynamics Problem with Corner Singularity”, AIP Conference Proceedings, 2116 (2019), 450043  crossref  isi  elib  scopus
89. V.A. Rukavishnikov, O.P. Tkachenko, A.S. Ryabokon, “Numerical investigation of the stress-strain state of the curved pipeline”, CEUR Workshop Proceedings, 2426 (2019), 127-132  elib  scopus
90. V.A. Rukavishnikov, A.O. Mosolapov, E.I. Rukavishnikova, “Finite element method for the Lamé system in domain with a crack”, CEUR Workshop Proceedings, 2426 (2019), 133-138  elib  scopus
91. V.A. Rukavishnikov, E.V. Matveeva, E.I. Rukavishnikova, “The Properties of the Weighted Space $H_{2,\alpha}^k(\Omega)$ and Weighted Set $W_{2,\alpha}^k(\Omega,\delta)$”, Communications in Mathematics, 26:1 (2018), 31–45  crossref  mathscinet  zmath  elib  scopus
92. V.A. Rukavishnikov, A.V. Rukavishnikov, “Sravnitelnyi chislennyi analiz metodov resheniya zadachi Ctoksa v oblasti s osobennostyu”, Informatika i sistemy upravleniya, 55 (2018), 64-74  crossref  elib
93. V. A. Rukavishnikov, “The method of numerical analysis for the elasticity problem with singularity”, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), AIP Conference Proceedings, 1738, 2016, 030037  crossref  isi  elib  scopus
94. Viktor Rukavishnikov, “Weighted Finite Element Method for Elasticity Problem with Singularity”, Chemnitz FEM-Symposium 2016 (Programme, Collection of abstracts, List of participants) (26–28 September), Tecnische universitat, Chemnitz, Germany, 2016, 25
95. Rukavishnikov V.A., Nikolaev S.G., “Chislennyi analiz vesovogo metoda konechnykh elementov dlya zadachi teorii uprugosti s singulyarnostyu”, Vychislitelnye tekhnologii, 21:6 (2016), 89-103  elib
96. V. A. Rukavishnikov, E. I. Rukavishnikova, “Weighted Finite Element Method of High Degree of Accuracy for Dirichlet Problem with Singularity”, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) (Rhodes, GREECE,: SEP 22-28, 2014), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM-2014), 1648, 2015, UNSP 150016  crossref  isi  elib  scopus
97. V. A. Rukavishnikov, E. I. Rukavishnikova, “The finite difference method for boundary value problem with singularity”, 6th international conference, FDM 2014 (Lozenetz, Bulgaria, June 18–23, 2014), Lecture Notes in Computer Science, 9045, 2015, 72-83  crossref  mathscinet  zmath  isi  elib  scopus
98. V. A. Rukavishnikov, A. O. Mosolapov, “The weighted edge finite element method for time-harmonic maxwell equations with strong singularity”, 2014 International Conference on Mathematical Methods in Electromagnetic Theory, MMET 2014 (26–28 August), 2014, 148-151  crossref  isi  elib  scopus
99. V. A. Rukavishnikov, E. I. Rukavishnikova, “Weighted finite element method of high degree of accuracy for Dirichlet problem with singularity”, 12th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014) (Rodhes, Greece, September 22-28), 2014 http://web.math.unifi.it/users/brugnano/ICNAAM2014/Rukavishnikov.pdf
100. V. A. Rukavishnikov, S. G. Nikolaev, A. S. Sarykov, “Programma dlya paketnogo modelirovaniya singulyarnykh zadach na vysokoproizvoditelnom klastere”, Informatika i sistemy upravleniya, 2013, no. 1(35), 99–107  elib
101. V. A. Rukavishnikov, “The weighted edge finite element method for Maxwell equations with strong singularity”, 18th International Conference Mathematical Modelling and Analysis (MMA2013) Fourth International Conference Approximation Methods and Orthogonal Expansions (AMOE2013) (May 27 - 30, 2013, Tartu, Estonia), 2013 (to appear)
102. V. A. Rukavishnikov, N. A. Ponomarev, “The numerical method for boundary value problems with strong singularity”, European researcher = Evropeiskii issledovatel, 1:5 (2012), 462–467  elib
103. V. A. Rukavishnikov, A. O. Mosolapov, “New approach for solving Maxwell equations with strong singularity”, Journal of Physics: Conference Series 346, 2012, no. 1, 012018  crossref  mathscinet  adsnasa  isi  elib  scopus
104. V. A. Rukavishnikov, “The weighted edge finite element method for Maxwell equations with strong singularity”, Chemnitz FEM-Symposium 2012 (Programme, Collection of abstracts, List of participants) (24–26 September), Tecnische universitat, Chemnitz, Germany, 2012, 27 http://www.tu-chemnitz.de/mathematik/fem-symposium/2012/programm/abstracts/viktor_rukavishnikov.pdf
105. V. A. Rukavishnikov, “New Numerical Method for Solving Maxwell Equations with Strong Singularity”, PIERS 2012 Kuala Lumpur Proceedings (27–30 March), Malaysia, Kuala Lumpur, 2012, 1366–1370 http://piers.org/piersproceedings/download.php?file=cGllcnMyMDEyS3VhbGFMdW1wdXJ8M1A1XzEzNjYucGRmfDExMTAxMzA2MTIyNQ==  isi  elib  scopus
106. V. A. Rukavishnikov, A. O.Mosolapov, “The weighted edge finite element method for time-harmonic Maxwell equations with singular solution”, ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers ; (10 - 14 September 2012), Vienna; Austria, 2012, 8430-8437  elib  scopus
107. V. A. Rukavishnikov, “O kraevykh zadachakh s silnoi singulyarnostyu”, Vestnik Tikhookeanskogo gosudarstvennogo universiteta, 2011, no. 2(21), 33–43  elib
108. V. A. Rukavishnikov, “Finite Element Method for a Boundary Value Problem with Double Singularity”, Abstracts of AGMP-7 Conference Algebra Geometry Mathematical Physics, AGMP-7 (October 24–26, University of Haute Alsace), Mulhouse, France, 2011 http://www.astralgo.com/cweb/agmp7/abs_all.php
109. V. A. Rukavishnikov, “New approach for solving Maxwell equations with strong singularity”, 4rd International Workshop on Analysis and Numerical Approximation of Singular Problems. Book of abstracts, IWANASP 2011 (7–9 September), Chester University, Chester, UK, 2011 http://www.stochasticdelay.org.uk/Book of abstracts.pdf
110. V. A. Rukavishnikov, “New approach for solving Maxwell equations with strong singularity”, Abstracts of AGMP-6 Conference Algebra Geometry Mathematical Physics at Tjarno, AGMP-6 (25–31 October), Stromstad, Sweden, 2010 http://www.astralgo.com/cweb/agmp6/abs_all.php
111. V. A. Rukavishnikov, “New Approach for the Boundary Value Problem with Strong Singularity”, Abstracts of Talks 15th International Congress on Computational and Applied Mathematics (5–9 July), Belgium, 2010
112. V. A. Rukavishnikov, H. I. Rukavishnikova, “The finite element method for a boundary value problem with double singularity”, Chemnitz FEM-Symposium 2009 (Programme, Collection of abstracts, List of participants) (28–30 September), Tecnische universitat, Chemnitz, Germany, 2009, 27  mathscinet
113. V. A. Rukavishnikov, “The Finite Element Method for a Boundary value Problem with Double singularity”, Proceedings of the Third international workshop on Analysis and Numerical Approximation of Singular Problems, Ericeira (10–12 September), Instituto Superior Tecnico, Lisbon, Portugal, 2009, 155–176  mathscinet
114. V. A. Rukavishnikov, “Metody chislennogo analiza kraevykh zadach s silnoi singulyarnostyu”, Materialy mezhdunarodnoi konferentsii: Trudy uchastnikov mezhdunarodnoi konferentsii «Vychislitelnaya matematika, differentsialnye uravneniya, informatsionnye tekhnologii» (Baikal) (24-28 avgusta), Izd-vo VSGTU, Ulan-Ude, Rossiya, 2009, 286-294
115. V. A. Rukavishnikov, “Metody chislennogo analiza dlya kraevykh zadach s silnoi singulyarnostyu”, XXXIV Dalnevostochnaya matematicheskaya shkola-seminar imeni akademika E.V. Zolotova «Fundamentalnye problemy matematiki i informatsionnykh nauk»: tezisy dokladov (25-30 iyunya), Izd-vo TOGU, Khabarovsk, Rossiya, 2009, 116-117
116. V. A. Rukavishnikov, E. I. Rukavishnikova, “Chislennyi metod dlya kraevykh zadach s dvoinoi singulyarnostyu”, Informatika i sistemy upravleniya, 2008, no. 3(17), 47–52  mathscinet  elib
117. V. A. Rukavishnikov, “The finite element method for a boundary value problem with double singularity”, Third International workshop on Analysis and Numerical Approximation of Singular Problems. Book of abstract, Ericeira, Portugal, 2008, 26
118. V. A. Rukavishnikov, “The boundary value problems with strong singularity of solution”, International conference on dynamical methods and mathematical modeling (18–22 September), Valladolid, Spain, 2007, 30–31
119. V. A. Rukavishnikov, “The boundary value problems with strong singularity of solution”, SIAM Conference on Analysis of Partial Differential Equations (PD07) (10–12 December), Hilton Phoenix East/Mesa, Arizona, USA, 2007, 12
120. V. A. Rukavishnikov, H. I. Rukavishnikova, “The finite element method for the boundary value problem with strong singularity of the solution”, International workshop on analysis and numerical approximation of singular problems. Book of abstracts (10–12 November), Instituto Superior Tecnico, Lisbon, Portugal, 2004, 23
121. V. A. Rukavishnikov, H. I. Rukavishnikova, “The Finite Element method for the Boundary Value Problem with Non-Coordinated Degeneration of Input Data”, Proceedings of the International Conference on Parallel Algorithms and Computing Environments (8–11 October), Publishing of Chinese University of Hong Kong, Hong Kong, 2003, 249-253
122. V. A. Rukavishnikov, O. P. Tkachenko, “Mathematical modeling of the stress distribution in the thin-walled pipeline moving in a viscous medium”, Abstracts of Third ESF International Conference on Applied Mathematics for Industrial Flow Problems (AMIF 2002), Lisbon, Portugal, 2002
123. V. A. Rukavishnikov, H. I. Rukavishnikova, “Error estimates for the finite element method for the third boundary value problem with strong singularity of solution”, Proceedings of the First Chinese-Korean Joint Workshop on the Recent Developments in Numerical Analysis and Its Applications, Seoul National University, Seoul, Korea, 2001, 76–96  mathscinet
124. V. A. Rukavishnikov, “Boundary Value Problem with Non-Coordinated Degeneration of Initial Data”, ENUMATH 2001: Book of Abstracts of Fourth European Conference on Numerical Mathematics and Advanced Applications, Italy, 2001
125. V. A. Rukavishnikov, A. Yu. Bespalov, “An exponential rate of convergence of the finite element method for the Dirichlet problem with singularity of a solution”, ENUMATH-99. Proceedings of the Third European Conference on Numerical Mathematics and Advanced Applications, eds. P. Neittaanmaki, T. Tiihonen, P. Tarvainen, World Scientific, Singapore, 2000, 681–689  mathscinet  zmath
126. V. A. Rukavishnikov, H. I. Rukavishnikova, “The Finite Element Method for the Third Boundary Value Problem with Strong Singularity of Solution”, ENUMATH 1997. Abstracts of Second European Conference on Numerical Mathematics and Advanced Applications (September 28 – October 03, 1997), Heidelberg, Germany, 1998, 199–200  mathscinet  zmath  isi
127. V. A. Rukavishnikov, “Issledovanie raznostnoi skhemy kraevoi zadachi s izmeneniem tipa granichnykh uslovii s soglasovannym vyrozhdeniem iskhodnykh dannykh”, Metody chislennogo analiza. Vypusk 2, “Dalnauka”, g. Vladivostok, 1995, 4–29
128. V. A. Rukavishnikov, A. Yu. Bespalov, “Issledovanie odnogo klassa funktsii s vyrozhdeniem v prigranichnoi polose”, Metody chislennogo analiza. Vypusk 2, “Dalnauka”, g. Vladivostok, 1995, 77–88
129. V. A. Rukavishnikov, E. I. Rukavishnikova, “Ob otsenke pogreshnosti metoda konechnykh elementov v prostranstve $L_{2,\nu+\gamma}$ dlya zadachi Dirikhle s vyrozhdeniem”, Metody chislennogo analiza. Vypusk 2, “Dalnauka”, g. Vladivostok, 1995, 30–43
130. V. A. Rukavishnikov, “O suschestvovanii i edinstvennosti $R_\nu$-obobschennogo resheniya zadachi Dirikhle s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Metody chislennogo analiza, “Dalnauka”, g. Vladivostok, 1993, 4–21
131. V. A. Rukavishnikov, “Issledovanie raznostnoi skhemy smeshannoi kraevoi zadachi s singulyarnostyu resheniya”, Metody chislennogo analiza, “Dalnauka”, g. Vladivostok, 1993, 61–90
132. V. A. Rukavishnikov, “O $R_\nu$-obobschennom reshenii zadachi Dirikhle s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Vychislitelnye tekhnologii, 2:4 (1993), 105–110
133. V. A. Rukavishnikov, A. Yu. Bespalov, “Ob otsenkakh funktsii v vesovykh prostranstvakh”, Metody chislennogo analiza, “Dalnauka”, g. Vladivostok, 1993, 149–161
134. V. A. Rukavishnikov, E. I. Rukavishnikova, “O skorosti skhodimosti metoda konechnykh elementov dlya zadachi Dirikhle s soglasovannym vyrozhdeniem iskhodnykh dannykh”, Metody chislennogo analiza, Vladivostok: “Dalnauka”, 1993, 22–48
135. V. A. Rukavishnikov, “Study of difference schemes for Dirichlet's problem in Sobolev's weight space”, Sib. J. Comput. Math., 1:3 (1992), 191–204  zmath
136. V. A. Rukavishnikov, “Study of Difference schemes for Dirichlet's problem in Sobolev's weight spaces”, Siberian J. Computer Mathematics, 1991, no. 2
137. V. A. Rukavishnikov, V. D. Vlasenko, “Raznostnyi metod resheniya kraevykh zadach s vyrozhdeniem iskhodnykh dannykh v uglovykh tochkakh granitsy”, Matematicheskoe modelirovanie i vychislitelnyi eksperiment, Moskva: IMM RAN, g. Moskva, 1991, 42–43
138. V. A. Rukavishnikov, “O vesovykh otsenkakh pogreshnosti metoda setok resheniya uravneniya Gelmgoltsa”, Numerical Analysis and Mathematical Modelling, Banach Center Publications, 24, PWN-Polish scientific publishers, Warsaw, 1990, 397–408  crossref  mathscinet  zmath
139. V. A. Rukavishnikov, “Regulyarnost resheniya zadachi Neimana dlya uravneniya Gelmgoltsa na pryamougolnike”, V kn.: Chislennye metody v algebre i analize, Vladivostok: VTs DVNTs AN SSSR, 1984, 6–15  mathscinet  zmath
140. V. A. Rukavishnikov, “Koertsitivnaya otsenka skorosti skhodimosti priblizhennogo resheniya vtoroi kraevoi zadachi”, Dokl. AN SSSR, 271:4 (1983), 798–801  mathnet  mathscinet  mathscinet  zmath  isi
141. V. A. Rukavishnikov, “Regulyarnost resheniya zadachi Neimana na pryamougolnike”, V kn.:"Metody algebry i analiza", Tartu, 1983, g. Tartu, 1983, 132–135
142. V. A. Rukavishnikov, “Ob ustoichivosti raznostnykh skhem, approksimiruyuschikh vtoruyu kraevuyu zadachu dlya ellipticheskikh uravnenii vtorogo poryadka”, V kn.: Modeli i uravneniya (Soobsch. po prikl. matem.), M.:VTs AN SSSR, g. Moskva, 1980, 3–14

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