Savenkov Evgenii Borisovich

Publications in Math-Net.Ru

1. Application of the phase field method for modeling the foam structure
   
   Keldysh Institute preprints, 2024, 086, 24 pp.
2. Stability of stationary solutions of a diffuse interface model for the electrical breakdown process
   
   Keldysh Institute preprints, 2024, 073, 32 pp.
3. Numerical analysis of a generalized diffuse interface model for the electrical breakdown process
   
   Keldysh Institute preprints, 2024, 072, 23 pp.
4. About the generation of electric discharge in dielectric by photon flux
   
   Keldysh Institute preprints, 2024, 057, 17 pp.
5. Numerical study of the discontinuous Galerkin method for solving the Baer–Munziato equations with instantaneous mechanical relaxation
   
   Mat. Model., 36:4 (2024),  53–76
6. Numerical studies of the phase field model describing electric breakdown in a heterogeneous medium
   
   Sib. Zh. Ind. Mat., 27:3 (2024),  74–94
7. 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
8. 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
9. Two-phase hyperelastic model. “Scalar” case
   
   Keldysh Institute preprints, 2022, 040, 63 pp.
10. Phenomenological derivation of the thermomechanical diffuse-interface model for electric breakdown
    
    Keldysh Institute preprints, 2022, 031, 36 pp.
11. Nonisothermal diffuse interface model for electrical breakdown channel propagation
    
    Sib. Zh. Ind. Mat., 25:1 (2022),  39–53
12. 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
13. A regularized phase field model for «solid–fluid» system accounting for chemical reactions
    
    Keldysh Institute preprints, 2021, 082, 20 pp.
14. Nonisothermal conservative phase-field model for electric breakdown process
    
    Keldysh Institute preprints, 2021, 019, 34 pp.
15. Numerical investigation of two-phase hyperbolic models
    
    Mat. Model., 33:4 (2021),  3–20
16. A grid-operator framework for efficient implementation of explicit finite difference schemes
    
    Mat. Model., 33:2 (2021),  20–40
17. On the diffuse interface models for high codimension dispersed inclusions
    
    Keldysh Institute preprints, 2020, 122, 34 pp.
18. Regularized phase-field model for description of dynamics of “solid-fluid” system
    
    Keldysh Institute preprints, 2020, 096, 29 pp.
19. Numerical solution of Baer-Nunziato model with discontinuous Galerkin method
    
    Keldysh Institute preprints, 2020, 048, 23 pp.
20. Implementation of the level set method for geometric evolution of fracture using mesh-characteristic method
    
    Keldysh Institute preprints, 2020, 047, 32 pp.
21. HFrac3D++ code for geomechanics problems with large scale fluid-filled fractures
    
    Keldysh Institute preprints, 2020, 046, 20 pp.
22. Solution of Reynolds lubrication equation on evolving surfaces
    
    Keldysh Institute preprints, 2020, 013, 20 pp.
23. Solving Reynolds lubrication equations using closest point projection method
    
    Keldysh Institute preprints, 2020, 010, 32 pp.
24. Finite element framework for closest point projection method for surface PDEs
    
    Keldysh Institute preprints, 2020, 008, 36 pp.
25. Numerical techniques for surface PDEs. Review of approaches
    
    Keldysh Institute preprints, 2020, 005, 18 pp.
26. Simulation of thermoporoelastic medium with damage
    
    Mat. Model., 32:7 (2020),  59–76
27. 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
28. 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.
29. A computational algorithm for evolution of thermoporoelastic medium with damage
    
    Keldysh Institute preprints, 2019, 082, 36 pp.
30. Mathematical model for coupled flow and damage in thermoporoelastic medium
    
    Keldysh Institute preprints, 2019, 058, 38 pp.
31. DiMP-Hydro solver for direct numerical simulation of fluid microflows within pore space of core samples
    
    Mat. Model., 31:7 (2019),  21–44
32. Utilization of closest point projection surface representation in extended finite element method
    
    Mat. Model., 31:6 (2019),  18–42
33. Two-phase flow modelling within fractured vuggy reservoir
    
    Mat. Model., 31:2 (2019),  78–94
34. On computing the initial data for modeling of radiation-induced effects in porous materials
    
    Keldysh Institute preprints, 2018, 208, 21 pp.
35. Mathematical modelling of thermomechanical behaviour of impermeable porous media
    
    Keldysh Institute preprints, 2018, 136, 23 pp.
36. Numerical simulation of two-dimensional two-phase fluid flows accounting for wettability with quasi-hydrodynamic equations
    
    Keldysh Institute preprints, 2018, 131, 18 pp.
37. 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.
38. Two-phase flow modelling within fractured vuggy reservoir
    
    Keldysh Institute preprints, 2018, 049, 18 pp.
39. X-FEM algorithm with closest point projection fracture representation
    
    Keldysh Institute preprints, 2018, 042, 36 pp.
40. The model of the radiation transport in the matter of heterogeneous materials of the porous type
    
    Mat. Model., 30:10 (2018),  3–20
41. Model for multiphase fluid flows with interphase interaction taken into account
    
    Prikl. Mekh. Tekh. Fiz., 59:3 (2018),  57–68
42. Mathematical model and computational algorithms for flow in discrete fracture network with vugs
    
    Keldysh Institute preprints, 2017, 133, 18 pp.
43. 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.
44. Numerical simulation of poroelasticity problems
    
    Keldysh Institute preprints, 2017, 081, 36 pp.
45. Discrete fracture network modelling: A computational algorithms
    
    Keldysh Institute preprints, 2017, 066, 30 pp.
46. Discrete fracture network modelling: physical and mathematical model
    
    Keldysh Institute preprints, 2017, 065, 28 pp.
47. A mathematical model for impermeable porous media under thermomechanical loads
    
    Keldysh Institute preprints, 2017, 035, 34 pp.
48. Thermomechanical model for impermeable porous medium with chemically active filler
    
    Mat. Model., 29:12 (2017),  117–133
49. Self-similar solution of hydraulic fracture problem for poroelastic medium
    
    Mat. Model., 29:4 (2017),  59–74
50. Two-phase flow model with flow relaxation and effectiveness analysis of the explicit schemes application
    
    Keldysh Institute preprints, 2016, 129, 16 pp.
51. A study of the barotropic quasi-hydrodynamic model for the two-phase mixture involving surface effects
    
    Keldysh Institute preprints, 2016, 089, 25 pp.
52. Numerical study of two-dimensional quasi-hydrodynamical model of two-phase isothermal fluid flow with surface effects
    
    Keldysh Institute preprints, 2016, 013, 20 pp.
53. TCS 3D simulator: computational model
    
    Keldysh Institute preprints, 2015, 110, 20 pp.
54. Application of quasihydrodynamic equation for direct numerical simulation of flow in core samples
    
    Keldysh Institute preprints, 2015, 084, 20 pp.
55. Quasihydrodynamic equations for diffuse interface type multiphase flow model with surface effects
    
    Keldysh Institute preprints, 2015, 075, 37 pp.
56. Phenomenological derivation of quasihydrodynamic equations with bulk viscosity
    
    Keldysh Institute preprints, 2015, 068, 25 pp.
57. TCS $\mathrm{3D}$ simulator: mathematical model
    
    Keldysh Institute preprints, 2015, 006, 20 pp.
58. 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
59. Explicit Schemes for Compositional Flows Simulation in Porous Media
    
    Keldysh Institute preprints, 2013, 092, 27 pp.
60. Non-isothermal compositional flow model with chemical reactions and active solid phase for reservoir simulation
    
    Keldysh Institute preprints, 2013, 091, 32 pp.
61. Computational algorithms for stress field reconstruction in elastic domain using discrete observation data
    
    Keldysh Institute preprints, 2013, 090, 20 pp.
62. Numerical Investigation of Generalized Nested Factorization Preconditioning Technique for Industrial Reservoir Simulation Problems
    
    Keldysh Institute preprints, 2013, 012, 18 pp.
63. The solution of gas dynamics problems with shock waves using Runge–Kutta discontinous Galerkin method
    
    Mat. Model., 20:11 (2008),  55–66
64. Mathematical modeling of blasting nozzle of plasmatron in two-dimensional approach
    
    Keldysh Institute preprints, 2007, 017, 30 pp.
65. Application of Runge–Kutta discontinuous Galerkin method for the numerical solution of gas dynamics problems
    
    Keldysh Institute preprints, 2006, 052, 31 pp.
66. Finite Superelement Method for the solution of the 3d elasticity problems.The numerical investigation
    
    Keldysh Institute preprints, 2006, 044, 29 pp.
67. The application of finite superelements method for the composite material strain-stress state simulation
    
    Keldysh Institute preprints, 2006, 039, 30 pp.
68. Combined use of the finite element and finite superelement methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006),  270–283
69. Application of the discontinuous Galerkin method for numerical solution of the quasi-linear advection equation
    
    Keldysh Institute preprints, 2005, 105, 35 pp.
70. Numerical investigation of the Finite Superelement Method for the solution of the “well” problem for Laplace equation
    
    Keldysh Institute preprints, 2005, 079, 30 pp.
71. Development , research and application of a finite superelements method for solution of biharmonical equation
    
    Keldysh Institute preprints, 2005, 059, 26 pp.
72. Метод конечных суперэлементов для решения задач математической физики в неоднородных областях
    
    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2005, no. 3,  34–49
73. Finite superelements method for elasticity problems
    
    Keldysh Institute preprints, 2004, 038, 38 pp.
74. On combined finite element/finite superelement approximations
    
    Keldysh Institute preprints, 2004, 013, 32 pp.
75. Superelements method for velocity skin-layer problem
    
    Keldysh Institute preprints, 2004, 003, 32 pp.
76. On the justification of the finite superelement method
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003),  713–729
77. On concerning of the Fedorenko finite superelements method and projectional methods
    
    Keldysh Institute preprints, 2001, 067, 35 pp.