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fvmon [2018/08/16 13:40]
Kirill Nikitin
fvmon [2022/04/07 15:19] (current)
Kirill Nikitin
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   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])
   * Ivan Kapyrin (Ph.D., senior researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])   * Ivan Kapyrin (Ph.D., senior researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
-  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​nikitin|Kirill Nikitin]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) +  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​nikitin|Kirill Nikitin]] (Ph.D., ​senior ​researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) 
-  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])+  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., ​senior ​researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])
   * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​chernyshenko|Alexey Chernyshenko]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])   * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​chernyshenko|Alexey Chernyshenko]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
 +  * Ruslan Yanbarisov (Ph.D. student at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
 ===== Publications ===== ===== Publications =====
  
-[1K.LipnikovD.Svyatskiy, M.Shashkov, Y.Vassilevski. "​Monotone finite volume schemes ​for diffusion equations on unstructured triangular and shape-regular polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.227(2007)pp.492-512. {{:​lip-svy-shash-vas-07.pdf|}}+[*I.Berreet alVerification benchmarks ​for single-phase flow in three-dimensional fractured porous media. %%//​%% ​Advances in Water Resourcesthis2021147103759.
  
-[2I.V.Kapyrin"A Family of Monotone Methods ​for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//​%% ​Doklady ​Mathematics, ​2007Vol. 76No. 2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.pdf}}+[*R.Yanbarisov, K.NikitinProjection-based monotone embedded discrete fracture method ​for flow and transport in porous media. %%//​%% ​Journal of Computational and Applied ​Mathematics, ​2021392113484.
  
-[3Y.VassilevskiI.Kapyrin, "Two splitting schemes ​for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​Comp. Math. and Math. Phys. Vol.48No.8(2008)1349-1366. {{:​kap-vas-08.pdf.pdf|}}+[*K.NikitinR.Yanbarisov. Monotone embedded discrete fractures method ​for flows in porous media. %%//​%% ​Journal of Computational ​and Applied Mathematics2020365112353.
  
-[4K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone ​finite volume ​method for diffusion equations on polygonal meshes." ​%%//​%% ​Journal of Computational ​PhysicsVol.228, No.3, (2009), pp.703-716.{{:lip-svy-vas-09.pdf|}}+[*V.KramarenkoK.Nikitin, Y.Vassilevski. ​finite volume ​scheme with improved well 
 +modeling in subsurface flow simulation. %%//%% Computational ​Geosciences2017DOI: 10.1007/​s10596-017-9685-5. 
 + {{:cg-knv-v3.pdf|}}
  
-[5A.A.Danilov, Y.V.Vassilevski. ​"A monotone nonlinear ​finite volume method for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian ​Journal of Numerical Analysis and Mathematical Modelling, Vol.24, No.3(2009), pp.207-227. {{:danilov-vassilevski-09.pdf|}}+[*K.Nikitin, K.Novikov, Y.Vassilevski. ​Nonlinear ​finite volume method ​with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii ​Journal of Mathematics,​ 2016, Vol.37, No.5570-581 
 + {{::​lobachevskii_2016-v3.pdf|}}
  
-[6K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"monotone finite volume method ​for advection-diffusion equations on unstructured polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.229, (2010), pp.4017-4032. {{:​lip-svy-vas-10.pdf|}}+[*V.KramarenkoK.Nikitin, Y.Vassilevski. A nonlinear correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.
  
-[7] K.D.Nikitin,​ Y.V.Vassilevski. "A monotone finite folume method ​for advection-diffusion equations on unstructured polyhedral meshes in 3D." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.25No.4, (2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}+[*I.V.Kapyrin, ​K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, Nonlinear Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014, pp.655-663. {{:fvca7-kapniktervas.pdf|}}
  
-[8K.Nikitin"​Nonlinear finite volume method for two-phase flow in porous media." (in Russian) ​%%//%% +[*A.Chernyshenko,​ Y.VassilevskiA Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects– Springer International Publishing2014pp.197-205. {{:chern-vass-fvca7.pdf|}}
-Mathematical Modelling, Vol.22No.11(2010), 131-147. {{:nikitin-10.pdf|}}+
  
-[9] K.NikitinA.Danilov, I.Kapyrin, Yu.Vassilevski. "Application of nonlinear monotone finite volume schemes to advection-diffusion problems." ​%%//​%% ​Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol.12011761–769.+[*] K.TerekhovY.Vassilevski. "Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//​%% ​Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.28No.3(2013), pp.267-288. {{:​terekhov-vassilevski-13.pdf|}}
  
-[10] K.Lipnikov, ​D.Svyatskiy, Y.Vassilevski. "Minimal stencil ​finite volume ​scheme with the discrete maximum principle." %%//​%% ​Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), 369-385. {{:lip-svy-vas-12.pdf|}}+[*] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski. "A monotone nonlinear ​finite volume ​method for diffusion equations and multiphase flows" %%//​%% ​Computational Geosciences, Vol. 18, No.3-4, (2013), 311-324, DOI: 10.1007/​s10596-013-9387-6. {{:nik-ter-vas-13.pdf|}}
  
-[11] K.Nikitin, Y.Vassilevski. "A monotone ​finite volume ​method for advection diffusion equations and multiphase flows." %%//​%% ​Proceedings ECMOR XIIIEAGE, (2012). {{:nik-vas-ecmor2012.pdf|}}+[*] K.Lipnikov, D.Svyatskiy, Y.Vassilevski. "Minimal stencil ​finite volume ​scheme with the discrete maximum principle." %%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.27, No.4, (2012), 369-385. {{:lip-svy-vas-12.pdf|}}
  
-[12] K.Terekhov, Y.Vassilevski. "Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.28, No.3, (2013), pp.267-288. {{:terekhov-vassilevski-13.pdf|}}+[*] K.Nikitin, Y.Vassilevski. "A monotone finite volume method for advection diffusion equations and multiphase flows." ​%%//​%% ​Proceedings ECMOR XIIIEAGE, (2012). {{:nik-vas-ecmor2012.pdf|}}
  
-[13] K.D.Nikitin, ​K.M.TerekhovY.V.Vassilevski. "monotone ​nonlinear ​finite volume ​method for diffusion ​equations and multiphase flows" %%//​%% ​Computational GeosciencesDOI: 10.1007/​s10596-013-9387-6.{{:​nik-ter-vas-13.pdf|}}+[*] K.Nikitin, ​A.Danilov, I.KapyrinYu.Vassilevski. "Application of nonlinear ​monotone finite volume ​schemes to advection-diffusion ​problems." %%//​%% ​Finite Volumes for Complex Applications VI – Problems & PerspectivesVol.1, 2011, 761–769.
  
-[14I.V.KapyrinK.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, Nonlinear Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014, pp.655-663. {{:fvca7-kapniktervas.pdf|}}+[*K.Lipnikov, D.Svyatskiy, Y.Vassilevski. "A monotone finite volume method ​for advection-diffusion equations on unstructured polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.229(2010), pp.4017-4032. {{:lip-svy-vas-10.pdf|}}
  
-[15A.Chernyshenko, Y.Vassilevski. A Finite Volume Scheme with the Discrete Maximum Principle ​for Diffusion Equations ​on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods ​and Theoretical Aspects– Springer International Publishing2014, pp.197-205. {{:chern-vass-fvca7.pdf|}}+[*K.D.Nikitin, Y.V.Vassilevski. ​"monotone finite volume method ​for advection-diffusion equations ​on unstructured polyhedral meshes in 3D." ​%%//​%% ​Russian Journal of Numerical Analysis ​and Mathematical Modelling, Vol.25, No.4(2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}
  
-[16] K.Nikitin, K.Novikov, Y.Vassilevski. Nonlinear finite volume method ​with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii Journal of Mathematics,​ 2016, Vol.37, No.5570-581 +[*] K.Nikitin. ​"Nonlinear finite volume method for two-phase flow in porous media."​ (in Russian) ​%%//%% 
- {{::​lobachevskii_2016-v3.pdf|}}+Mathematical Modelling, Vol.22, No.11(2010), 131-147. {{:nikitin-10.pdf|}}
  
-[17V.KramarenkoK.Nikitin, Y.Vassilevski. ​A nonlinear correction FV scheme for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.+[*K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.228, No.3, (2009), pp.703-716.{{:​lip-svy-vas-09.pdf|}}
  
-[18V.Kramarenko, K.Nikitin, Y.Vassilevski. A finite volume ​scheme with improved well +[*A.A.Danilov, Y.V.Vassilevski. ​"monotone nonlinear ​finite volume ​method for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.24, No.3, (2009), pp.207-227. {{:danilov-vassilevski-09.pdf|}} 
-modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences2017DOI: 10.1007/s10596-017-9685-5+ 
- {{:cg-knv-v3.pdf|}}+[*] Y.Vassilevski,​ I.Kapyrin, "Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes."​ %%//%% Comp. Math. and Math. Phys. Vol.48, No.8, (2008), 1349-1366. ​{{:kap-vas-08.pdf.pdf|}} 
 + 
 +[*] I.V.Kapyrin. "A Family of Monotone Methods for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//%% Doklady Mathematics,​ 2007, Vol. 76, No. 2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.pdf}}
  
 +[*] K.Lipnikov, D.Svyatskiy,​ M.Shashkov, Y.Vassilevski. "​Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.227, (2007), pp.492-512. {{:​lip-svy-shash-vas-07.pdf|}}
fvmon.1534426835.txt.gz · Last modified: 2018/08/16 13:40 by Kirill Nikitin