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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
N. A. Semenenko, T. G. Elenina, E. B. Savenkov, “Application of the phase field method for modeling the foam structure”, Keldysh Institute preprints, 2024, 086, 24 pp. |
2. |
A. S. Ponomarev, E. V. Zipunova, E. B. Savenkov, “Stability of stationary solutions of a diffuse interface model for the electrical breakdown process”, Keldysh Institute preprints, 2024, 073, 32 pp. |
3. |
A. S. Ponomarev, E. V. Zipunova, E. B. Savenkov, “Numerical analysis of a generalized diffuse interface model for the electrical breakdown process”, Keldysh Institute preprints, 2024, 072, 23 pp. |
4. |
Yu. A. Volkov, F. N. Voronin, O. S. Kosarev, A. V. Ivanov, M. B. Markov, E. B. Savenkov, D. N. Sadovnichiy, I. A. Tarakanov, “About the generation of electric discharge in dielectric by photon flux”, Keldysh Institute preprints, 2024, 057, 17 pp. |
5. |
R. R. Polekhina, E. B. Savenkov, “Numerical study of the discontinuous Galerkin method for solving the Baer–Munziato equations with instantaneous mechanical relaxation”, Mat. Model., 36:4 (2024), 53–76 ; Math. Models Comput. Simul., 16:6 (2024), 826–842 |
6. |
E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov, “Numerical studies of the phase field model describing electric breakdown in a heterogeneous medium”, Sib. Zh. Ind. Mat., 27:3 (2024), 74–94 ; J. Appl. Industr. Math., 18:3 (2024), 612–630 |
7. |
V. A. Balashov, E. A. Pavlishina, E. B. Savenkov, “Density gradient model in spherically symmetric formulation and its explicit-implicit dissipative discretization for the study of phase boundary dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024), 1500–1516 ; Comput. Math. Math. Phys., 64:8 (2024), 1823–1839 |
8. |
M. A. Botchev, I. A. Fakhrutdinov, E. B. Savenkov, “Efficient and stable time integration of Cahn–Hilliard equations: explicit, implicit, and explicit iterative schemes”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024), 1366–1387 ; Comput. Math. Math. Phys., 64:8 (2024), 1726–1746 |
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2022 |
9. |
M. V. Alekseev, E. B. Savenkov, “Two-phase hyperelastic model. “Scalar” case”, Keldysh Institute preprints, 2022, 040, 63 pp. |
10. |
E. V. Zipunova, E. B. Savenkov, “Phenomenological derivation of the thermomechanical diffuse-interface model for electric breakdown”, Keldysh Institute preprints, 2022, 031, 36 pp. |
1
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11. |
E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov, “Nonisothermal diffuse interface model for electrical breakdown channel
propagation”, Sib. Zh. Ind. Mat., 25:1 (2022), 39–53 ; J. Appl. Industr. Math., 16:1 (2022), 45–57 |
4
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2021 |
12. |
D. N. Sadovnichii, Yu. M. Miloekhin, S. A. Malinin, A. I. Potapenko, A. A. Cheprunov, R. V. Ul'yanenkov, K. Yu. Sheremet'ev, N. V. Pertsev, M. B. Markov, E. B. Savenkov, “Experimental study of the formation of threaded structures and properties spheroplastics upon a shock-wave impact”, Fizika Goreniya i Vzryva, 57:2 (2021), 123–131 ; Combustion, Explosion and Shock Waves, 57:2 (2021), 238–245 |
13. |
V. A. Balashov, E. B. Savenkov, “A regularized phase field model for «solid–fluid» system accounting for chemical reactions”, Keldysh Institute preprints, 2021, 082, 20 pp. |
2
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14. |
E. V. Zipunova, E. B. Savenkov, “Nonisothermal conservative phase-field model for electric breakdown process”, Keldysh Institute preprints, 2021, 019, 34 pp. |
3
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15. |
B. A. Korneev, R. R. Tukhvatullina, E. B. Savenkov, “Numerical investigation of two-phase hyperbolic models”, Mat. Model., 33:4 (2021), 3–20 ; Math. Models Comput. Simul., 13:6 (2021), 1002–1013 |
2
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16. |
M. M. Krasnov, V. A. Balashov, E. B. Savenkov, “A grid-operator framework for efficient implementation of explicit finite difference schemes”, Mat. Model., 33:2 (2021), 20–40 ; Math. Models Comput. Simul., 13:5 (2021), 831–843 |
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2020 |
17. |
E. V. Zipunova, E. B. Savenkov, “On the diffuse interface models for high codimension dispersed inclusions”, Keldysh Institute preprints, 2020, 122, 34 pp. |
7
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18. |
V. A. Balashov, E. B. Savenkov, “Regularized phase-field model for description of dynamics of “solid-fluid” system”, Keldysh Institute preprints, 2020, 096, 29 pp. |
1
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19. |
M. V. Alekseev, E. B. Savenkov, F. N. Voronin, “Numerical solution of Baer-Nunziato model with discontinuous Galerkin method”, Keldysh Institute preprints, 2020, 048, 23 pp. |
20. |
E. Savenkov, A. Ivanov, “Implementation of the level set method for geometric evolution of fracture using mesh-characteristic method”, Keldysh Institute preprints, 2020, 047, 32 pp. |
21. |
V. E. Borisov, E. V. Zipunova, A. V. Ivanov, B. V. Kritsky, E. B. Savenkov, “HFrac3D++ code for geomechanics problems with large scale fluid-filled fractures”, Keldysh Institute preprints, 2020, 046, 20 pp. |
22. |
E. V. Zipunova, A. V. Ivanov, E. B. Savenkov, “Solution of Reynolds lubrication equation on evolving surfaces”, Keldysh Institute preprints, 2020, 013, 20 pp. |
23. |
E. V. Zipunova, E. B. Savenkov, “Solving Reynolds lubrication equations using closest point projection method”, Keldysh Institute preprints, 2020, 010, 32 pp. |
2
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24. |
E. B. Savenkov, “Finite element framework for closest point projection method for surface PDEs”, Keldysh Institute preprints, 2020, 008, 36 pp. |
3
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25. |
E. B. Savenkov, “Numerical techniques for surface PDEs. Review of approaches”, Keldysh Institute preprints, 2020, 005, 18 pp. |
4
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26. |
A. S. Meretin, E. B. Savenkov, “Simulation of thermoporoelastic medium with damage”, Mat. Model., 32:7 (2020), 59–76 ; Math. Models Comput. Simul., 13:2 (2021), 218–230 |
1
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27. |
E. N. Golovchenko, M. V. Iakobovski, V. A. Balashov, E. B. Savenkov, “Comparison of domain partitioning algorithms in the problem of direct flow simulation within rock samples at pore scale”, Mat. Model., 32:4 (2020), 107–115 ; Math. Models Comput. Simul., 12:6 (2020), 990–995 |
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2019 |
28. |
M. V. Alekseev, E. B. Savenkov, “The use of the discontinuous Galerkin method for solving one-dimensional hyperbolic problems of hyperelasticity in an inhomogeneous medium”, Keldysh Institute preprints, 2019, 088, 20 pp. |
1
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29. |
A. S. Meretin, E. B. Savenkov, “A computational algorithm for evolution of thermoporoelastic medium with damage”, Keldysh Institute preprints, 2019, 082, 36 pp. |
1
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30. |
A. S. Meretin, E. B. Savenkov, “Mathematical model for coupled flow and damage in thermoporoelastic medium”, Keldysh Institute preprints, 2019, 058, 38 pp. |
2
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31. |
V. A. Balashov, E. B. Savenkov, B. N. Chetverushkin, “DiMP-Hydro solver for direct numerical simulation of fluid microflows within pore space of core samples”, Mat. Model., 31:7 (2019), 21–44 ; Math. Models Comput. Simul., 12:2 (2020), 110–124 |
12
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32. |
E. B. Savenkov, V. E. Borisov, B. V. Kritsky, “Utilization of closest point projection surface representation in extended finite element method”, Mat. Model., 31:6 (2019), 18–42 ; Math. Models Comput. Simul., 12:1 (2020), 36–52 |
4
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33. |
A. V. Blonsky, E. B. Savenkov, “Two-phase flow modelling within fractured vuggy reservoir”, Mat. Model., 31:2 (2019), 78–94 ; Math. Models Comput. Simul., 11:5 (2019), 778–788 |
1
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2018 |
34. |
M. V. Alekseev, F. N. Voronin, V. A. Egorova, M. E. Zhukovskiy, M. B. Markov, E. B. Savenkov, R. V. Uskov, “On computing the initial data for modeling of radiation-induced effects in porous materials”, Keldysh Institute preprints, 2018, 208, 21 pp. |
2
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35. |
M. V. Alekseev, A. A. Kuleshov, N. G. Sudobin, E. B. Savenkov, “Mathematical modelling of thermomechanical behaviour of impermeable porous media”, Keldysh Institute preprints, 2018, 136, 23 pp. |
36. |
V. A. Balashov, E. B. Savenkov, “Numerical simulation of two-dimensional two-phase fluid flows accounting for wettability with quasi-hydrodynamic equations”, Keldysh Institute preprints, 2018, 131, 18 pp. |
2
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37. |
V. A. Balashov, E. B. Savenkov, “About numerical algorithm for simulation of two-dimensional two-phase flows with wetting effect based on quasi-hydrodynamic regularization”, Keldysh Institute preprints, 2018, 062, 36 pp. |
2
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38. |
A. V. Blonsky, E. B. Savenkov, “Two-phase flow modelling within fractured vuggy reservoir”, Keldysh Institute preprints, 2018, 049, 18 pp. |
39. |
E. B. Savenkov, V. E. Borisov, B. V. Kritsky, “X-FEM algorithm with closest point projection fracture representation”, Keldysh Institute preprints, 2018, 042, 36 pp. |
2
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40. |
M. E. Zhukovskiy, R. V. Uskov, E. B. Savenkov, M. V. Alekseev, M. B. Markov, F. N. Voronin, “The model of the radiation transport in the matter of heterogeneous materials of the porous type”, Mat. Model., 30:10 (2018), 3–20 ; Math. Models Comput. Simul., 11:3 (2019), 415–425 |
4
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41. |
V. A. Balashov, E. B. Savenkov, “Model for multiphase fluid flows with interphase interaction taken into account”, Prikl. Mekh. Tekh. Fiz., 59:3 (2018), 57–68 ; J. Appl. Mech. Tech. Phys., 59:3 (2018), 434–444 |
33
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2017 |
42. |
A. V. Blonsky, E. B. Savenkov, “Mathematical model and computational algorithms for flow in discrete fracture network with vugs”, Keldysh Institute preprints, 2017, 133, 18 pp. |
2
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43. |
V. A. Balashov, A. A. Zlotnik, E. B. Savenkov, “Numerical algorithm for simulation of three-dimensional two-phase flows with surface effects within domains with voxel geometry”, Keldysh Institute preprints, 2017, 091, 28 pp. |
5
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44. |
V. E. Borisov, A. V. Ivanov, B. V. Kritsky, I. S. Men'shov, E. B. Savenkov, “Numerical simulation of poroelasticity problems”, Keldysh Institute preprints, 2017, 081, 36 pp. |
4
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45. |
A. V. Blonsky, D. A. Mitrushkin, E. B. Savenkov, “Discrete fracture network modelling: A computational algorithms”, Keldysh Institute preprints, 2017, 066, 30 pp. |
5
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46. |
A. V. Blonsky, D. A. Mitrushkin, E. B. Savenkov, “Discrete fracture network modelling: physical and mathematical model”, Keldysh Institute preprints, 2017, 065, 28 pp. |
6
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47. |
M. V. Alekseev, A. A. Kuleshov, E. B. Savenkov, “A mathematical model for impermeable porous media under thermomechanical loads”, Keldysh Institute preprints, 2017, 035, 34 pp. |
3
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48. |
M. V. Alekseev, A. A. Kuleshov, E. B. Savenkov, “Thermomechanical model for impermeable porous medium with chemically active filler”, Mat. Model., 29:12 (2017), 117–133 ; Math. Models Comput. Simul., 10:4 (2018), 459–471 |
3
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49. |
A. V. Karakin, M. M. Ramazanov, V. E. Borisov, I. S. Men'shov, E. B. Savenkov, “Self-similar solution of hydraulic fracture problem for poroelastic medium”, Mat. Model., 29:4 (2017), 59–74 ; Math. Models Comput. Simul., 9:6 (2017), 657–668 |
2
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2016 |
50. |
A. A. Lyupa, E. B. Savenkov, “Two-phase flow model with flow relaxation and effectiveness analysis of the explicit schemes application”, Keldysh Institute preprints, 2016, 129, 16 pp. |
1
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51. |
V. A. Balashov, A. A. Zlotnik, E. B. Savenkov, “A study of the barotropic quasi-hydrodynamic model for the two-phase mixture involving surface effects”, Keldysh Institute preprints, 2016, 089, 25 pp. |
2
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52. |
V. A. Balashov, E. B. Savenkov, “Numerical study of two-dimensional quasi-hydrodynamical model of two-phase isothermal fluid flow with surface effects”, Keldysh Institute preprints, 2016, 013, 20 pp. |
3
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2015 |
53. |
V. E. Borisov, A. A. Kuleshov, E. B. Savenkov, S. E. Yakush, “TCS 3D simulator: computational model”, Keldysh Institute preprints, 2015, 110, 20 pp. |
3
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54. |
V. A. Balashov, E. B. Savenkov, “Application of quasihydrodynamic equation for direct numerical simulation of flow in core samples”, Keldysh Institute preprints, 2015, 084, 20 pp. |
3
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55. |
V. A. Balashov, E. B. Savenkov, “Quasihydrodynamic equations for diffuse interface type multiphase flow model with surface effects”, Keldysh Institute preprints, 2015, 075, 37 pp. |
7
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56. |
V. A. Balashov, E. B. Savenkov, “Phenomenological derivation of quasihydrodynamic equations with bulk viscosity”, Keldysh Institute preprints, 2015, 068, 25 pp. |
2
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57. |
V. E. Borisov, A. A. Kuleshov, E. B. Savenkov, S. E. Yakush, “TCS $\mathrm{3D}$ simulator: mathematical model”, Keldysh Institute preprints, 2015, 006, 20 pp. |
5
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58. |
V. A. Balashov, E. B. Savenkov, “Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1773–1782 ; Comput. Math. Math. Phys., 55:10 (2015), 1743–1751 |
10
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2013 |
59. |
V. E. Borisov, B. V. Kritskiy, E. B. Savenkov, “Explicit Schemes for Compositional Flows Simulation in Porous Media”, Keldysh Institute preprints, 2013, 092, 27 pp. |
60. |
V. E. Borisov, B. V. Kritskiy, N. A. Marchenko, D. A. Mitrushkin, E. B. Savenkov, “Non-isothermal compositional flow model with chemical reactions and active solid phase for reservoir simulation”, Keldysh Institute preprints, 2013, 091, 32 pp. |
3
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61. |
A. N. Galybin, D. A. Mitrushkin, Sh. A. Mukhamediev, E. B. Savenkov, “Computational algorithms for stress field reconstruction in elastic domain using discrete observation data”, Keldysh Institute preprints, 2013, 090, 20 pp. |
62. |
V. E. Borisov, E. B. Savenkov, “Numerical Investigation of Generalized Nested Factorization Preconditioning Technique for Industrial Reservoir Simulation Problems”, Keldysh Institute preprints, 2013, 012, 18 pp. |
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2008 |
63. |
M. P. Galanin, E. B. Savenkov, S. A. Tokareva, “The solution of gas dynamics problems with shock waves using Runge–Kutta discontinous Galerkin method”, Mat. Model., 20:11 (2008), 55–66 ; Math. Models Comput. Simul., 1:5 (2009), 635–645 |
9
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2007 |
64. |
A. E. Butyrev, M. P. Galanin, V. G. Gnedenko, A. V. Pereslavtsev, E. B. Savenkov, S. S. Tresviatskii, “Mathematical modeling of blasting nozzle of plasmatron in two-dimensional approach”, Keldysh Institute preprints, 2007, 017, 30 pp. |
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2006 |
65. |
M. P. Galanin, E. V. Grishchenko, E. B. Savenkov, S. A. Tokareva, “Application of Runge–Kutta discontinuous Galerkin method for the numerical solution of gas dynamics problems”, Keldysh Institute preprints, 2006, 052, 31 pp. |
1
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66. |
M. P. Galanin, S. A. Lazareva, E. B. Savenkov, “Finite Superelement Method for the solution of the 3d elasticity problems.The numerical investigation”, Keldysh Institute preprints, 2006, 044, 29 pp. |
1
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67. |
M. P. Galanin, E. B. Savenkov, Yu. M. Temis, I. A. Sheglov, D. A. Yakovlev, “The application of finite superelements method for the composite material strain-stress state simulation”, Keldysh Institute preprints, 2006, 039, 30 pp. |
68. |
M. P. Galanin, E. B. Savenkov, “Combined use of the finite element and finite superelement methods”, Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006), 270–283 ; Comput. Math. Math. Phys., 46:2 (2006), 258–270 |
3
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2005 |
69. |
M. P. Galanin, E. B. Savenkov, S. A. Tokareva, “Application of the discontinuous Galerkin method for numerical solution of the quasi-linear advection equation”, Keldysh Institute preprints, 2005, 105, 35 pp. |
4
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70. |
M. P. Galanin, S. A. Lazareva, E. B. Savenkov, “Numerical investigation of the Finite Superelement Method for the solution of the “well” problem for Laplace equation”, Keldysh Institute preprints, 2005, 079, 30 pp. |
3
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71. |
M. P. Galanin, D. S. Milyutin, E. B. Savenkov, “Development , research and application of a finite superelements method for solution of biharmonical equation”, Keldysh Institute preprints, 2005, 059, 26 pp. |
1
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72. |
M. P. Galanin, E. B. Savenkov, “Метод конечных суперэлементов для решения задач математической физики в неоднородных областях”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2005, no. 3, 34–49 |
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2004 |
73. |
M. P. Galanin, E. B. Savenkov, Yu. M. Temis, “Finite superelements method for elasticity problems”, Keldysh Institute preprints, 2004, 038, 38 pp. |
74. |
M. P. Galanin, E. B. Savenkov, “On combined finite element/finite superelement approximations”, Keldysh Institute preprints, 2004, 013, 32 pp. |
75. |
M. P. Galanin, E. B. Savenkov, “Superelements method for velocity skin-layer problem”, Keldysh Institute preprints, 2004, 003, 32 pp. |
3
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2003 |
76. |
M. P. Galanin, E. B. Savenkov, “On the justification of the finite superelement method”, Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003), 713–729 ; Comput. Math. Math. Phys., 43:5 (2003), 680–695 |
12
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2001 |
77. |
M. P. Galanin, E. B. Savenkov, “On concerning of the Fedorenko finite superelements method and projectional methods”, Keldysh Institute preprints, 2001, 067, 35 pp. |
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Presentations in Math-Net.Ru |
1. |
"DIGITAL CORE": DIFFUSE BOUNDARY MODELS AND MATHEMATICAL MODELING OF MICROFLOWS OF MULTIPHASE MEDIA IN POROUS MEDIA E. B. Savenkov
Seminar on nonlinear problems of partial differential equations and mathematical physics December 3, 2024 17:00
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2. |
«Цифровой керн»: модели диффузной границы и математическое моделирование микротечений многофазных сред в пористых средах E. B. Savenkov
November 11, 2022 10:00
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3. |
Phase-field models and numerical simulation of complex multi-phase flows at porescale E. B. Savenkov
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling" June 29, 2022 15:20
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4. |
Direct numerical simulation of flows in rock micro-samples E. B. Savenkov, V. A. Balashov
Actual Problems of Applied Mathematics June 19, 2020
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5. |
Термомеханическая модель поведения непроницаемой пористой среды с химически активным наполнителем M. V. Alekseev, E. B. Savenkov
All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov November 15, 2017 15:40
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6. |
Математическая модель и вычислительные алгоритмы для моделирования развития трещины ГРП в трехмерной постановке V. E. Borisov, A. I. Ivanov, B. V. Kritskiy, I. S. Menshov, E. B. Savenkov
All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov November 13, 2017 17:25
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