List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2023 |
1. |
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
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1
[x]
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2. |
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
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4
[x]
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3. |
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 |
4. |
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) |
5. |
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 |
6. |
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 |
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2022 |
7. |
Rukavishnikov, VA Rukavishnikova, EI, “Error estimate FEM for the Nikolskij-Lizorkin problem with degeneracy”, Journal of Computational and Applied Mathematics, 403 (2022), 113841
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12
[x]
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8. |
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
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1
[x]
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9. |
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
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5
[x]
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10. |
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) |
11. |
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. |
12. |
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.
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5
[x]
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13. |
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
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8
[x]
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14. |
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 |
15. |
Rukavishnikov V. A., “Weighted finite element method with set of optimal parameters for crack problem”, AIP Conference Proceedings, 2522:¹. 1 (2022), 100012 |
16. |
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 |
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2021 |
17. |
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
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23
[x]
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18. |
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
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1
[x]
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19. |
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 |
20. |
V.A. Rukavishnikov, “Body of optimal parameters in the weighted finite element method”, CEUR Workshop Proceedings, 2837 (2021), 1-12 |
21. |
V.A. Rukavishnikov, O.P. Tkachenko, “Limit states of a stress-strain pipeline”, CEUR Workshop Proceedings, 2837 (2021), 54-66 |
22. |
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 |
23. |
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 |
24. |
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 |
25. |
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 |
26. |
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 |
27. |
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 |
28. |
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 |
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2020 |
29. |
V. A. Rukavishnikov, E. I. Rukavishnikova, “On the Dirichlet Problem with Corner Singularity”, Mathematics, 8:11 (2020), 1870
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15
[x]
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30. |
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
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8
[x]
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31. |
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 |
32. |
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 |
33. |
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 |
34. |
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) |
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2019 |
35. |
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
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15
[x]
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36. |
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 |
37. |
V.A. Rukavishnikov, A.O. Mosolapov, “Weighthed vector finite element method and its applications”, Computer Research and Modeling, 11:1 (2019), 71-86 |
38. |
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 |
39. |
V.A. Rukavishnikov, A.V. Rukavishnikov, “The Method of Numerical Analysis for the Hydrodynamics Problem with Corner Singularity”, AIP Conference Proceedings, 2116 (2019), 450043 |
40. |
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
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1
[x]
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41. |
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
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8
[x]
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42. |
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 |
43. |
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 |
44. |
V. A. Rukavishnikov, E. I. Rukavishnikova, “Numerical Method for Dirichlet Problem with Degeneration of the Solution on Entire Boundary”, Symmetry, 11:12 (2019), 1455
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10
[x]
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2018 |
45. |
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
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10
[x]
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46. |
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
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7
[x]
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47. |
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
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30
[x]
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48. |
V. A. Rukavishnikov, O. P. Tkachenko, “Dynamics of a fluid-filled curvilinear pipeline”, Applied Mathematics and Mechanics (English Edition), 39:6 (2018), 905–922
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4
[x]
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49. |
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 |
50. |
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 |
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2016 |
51. |
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 |
52. |
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
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13
[x]
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53. |
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 |
54. |
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
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1
[x]
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55. |
V. A. Rukavishnikov, O. P. Tkachenko, “Numerical modeling of the fluid-filled pipelines in viscous medium”, AIP Conference Proceedings, 1738 (2016), 030036
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1
[x]
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56. |
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 |
57. |
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 |
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2015 |
58. |
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 |
59. |
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 |
60. |
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 |
61. |
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 |
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2014 |
62. |
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 |
63. |
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 |
64. |
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 |
65. |
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
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1
[x]
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66. |
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 |
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2013 |
67. |
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 |
68. |
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 |
69. |
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) |
70. |
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
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21
[x]
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71. |
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
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1
[x]
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72. |
V. A. Rukavishnikov, S. G. Nikolaev, “Weighted Finite Element Method for an Elasticity Problem with Singularity”, Dokl. Math., 88:3 (2013), 705–709 |
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2012 |
73. |
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 |
74. |
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
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36
[x]
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75. |
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 |
76. |
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 |
77. |
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== |
78. |
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 |
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2011 |
79. |
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.
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2
[x]
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80. |
V. A. Rukavishnikov, “O kraevykh zadachakh s silnoi singulyarnostyu”, Vestnik Tikhookeanskogo gosudarstvennogo universiteta, 2011, no. 2(21), 33–43 |
81. |
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 |
82. |
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 |
83. |
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 |
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2010 |
84. |
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
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36
[x]
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85. |
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 |
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2012 |
86. |
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 |
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2010 |
87. |
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 |
88. |
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 |
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2009 |
89. |
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
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22
[x]
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90. |
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 |
91. |
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 |
92. |
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 |
93. |
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 |
94. |
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 |
95. |
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 |
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2008 |
96. |
V. A. Rukavishnikov, E. I. Rukavishnikova, “Chislennyi metod dlya kraevykh zadach s dvoinoi singulyarnostyu”, Informatika i sistemy upravleniya, 2008, no. 3(17), 47–52 |
97. |
V. A. Rukavishnikov, O. P. Tkachenko, “The Korteweg–de Vries equation in a cylindrical pipe”, Comput. Math. Math. Phys., 48:1 (2008), 139–146 |
98. |
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 |
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2007 |
99. |
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 |
100. |
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 |
101. |
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 |
102. |
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 |
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2005 |
103. |
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 |
104. |
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
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3
[x]
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2004 |
105. |
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 |
106. |
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 |
|
2003 |
107. |
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
|
4
|
108. |
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 |
109. |
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 |
|
2002 |
110. |
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 |
|
2001 |
111. |
V. A. Rukavishnikov, “O edinstvennosti $R_\nu$-obobschennogo resheniya dlya kraevykh zadach s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 376:4 (2001), 451–453
|
4
[x]
|
112. |
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
|
6
[x]
|
113. |
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 |
114. |
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 |
|
2000 |
115. |
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
|
3
[x]
|
116. |
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
|
9
|
117. |
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 |
118. |
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 |
|
1999 |
119. |
V. A. Rukavishnikov, E. V. Kashuba, “On the properties of an orthonormalized singular polynomials set”, Sib. zhurn. vychisl. matem., 2:2 (1999), 171–183
|
4
[x]
|
|
1998 |
120. |
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
|
6
[x]
|
121. |
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 |
|
1996 |
122. |
V. A. Rukavishnikov, “O zadache Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Differentsialnye uravneniya, 32:3 (1996), 402–408
|
5
[x]
|
|
1995 |
123. |
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 |
124. |
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 |
125. |
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 |
|
1994 |
126. |
V. A. Rukavishnikov, “Zadacha Dirikhle s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 337:4 (1994), 447–449 ; V. A. Rukavishnikov, “The Dirichlet problem with noncoordinated degeneration of the initial data”, Russian Acad. Sci. Dokl. Math., 50:1 (1995), 104–107
|
3
[x]
|
127. |
V. A. Rukavishnikov, E. I. Rukavishnikova, “Metod konechnykh elementov dlya pervoi kraevoi zadachi s soglasovannym vyrozhdeniem iskhodnykh dannykh”, DAN, 338:6 (1994), 731–733 ; 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
|
8
[x]
|
|
1993 |
128. |
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 |
129. |
V. A. Rukavishnikov, “Issledovanie raznostnoi skhemy smeshannoi kraevoi zadachi s singulyarnostyu resheniya”, Metody chislennogo analiza, “Dalnauka”, g. Vladivostok, 1993, 61–90 |
130. |
V. A. Rukavishnikov, “O $R_\nu$-obobschennom reshenii zadachi Dirikhle s nesoglasovannym vyrozhdeniem iskhodnykh dannykh”, Vychislitelnye tekhnologii, 2:4 (1993), 105–110 |
131. |
V. A. Rukavishnikov, A. Yu. Bespalov, “Ob otsenkakh funktsii v vesovykh prostranstvakh”, Metody chislennogo analiza, “Dalnauka”, g. Vladivostok, 1993, 149–161 |
132. |
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 |
|
1992 |
133. |
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 |
|
1991 |
134. |
V. A. Rukavishnikov, “Study of Difference schemes for Dirichlet's problem in Sobolev's weight spaces”, Siberian J. Computer Mathematics, 1991, no. 2 |
135. |
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 |
|
1990 |
136. |
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 |
|
1989 |
137. |
V. A. Rukavishnikov, “O differentsialnykh svoistvakh $R_\nu$-obobschennogo resheniya zadachi Dirikhle”, Dokl. AN SSSR, 309:6 (1989), 1318–1320 ; V. A. Rukavishnikov, “Differential properties of an $R_\nu$-generalized solution of the Dirichlet problem”, Soviet Math. Dokl., 40:3 (1990), 653–655
|
7
[x]
|
|
1986 |
138. |
V. A. Rukavishnikov, “O vesovoi otsenke skhodimosti raznostnykh skhem”, Dokl. AN SSSR, 5:288 (1986), 1058–1062
|
2
[x]
|
|
1984 |
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 |
|
1983 |
140. |
V. A. Rukavishnikov, “Koertsitivnaya otsenka skorosti skhodimosti priblizhennogo resheniya vtoroi kraevoi zadachi”, Dokl. AN SSSR, 271:4 (1983), 798–801 |
141. |
V. A. Rukavishnikov, “Regulyarnost resheniya zadachi Neimana na pryamougolnike”, V kn.:"Metody algebry i analiza", Tartu, 1983, g. Tartu, 1983, 132–135 |
|
1980 |
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 |
|