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fvmon [2014/06/09 16:58]
Kirill Nikitin
fvmon [2019/05/14 16:09] (current)
Kirill Nikitin
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 ===== Nonlinear finite volumes schemes research group: ===== ===== Nonlinear finite volumes schemes research group: =====
   * [[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]])
-  * [[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]]) +  ​* 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/​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/​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., ​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]])
-  * 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.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 PhysicsVol.227, (2007), pp.492–512.+[***new***] Monotone ​embedded discrete fractures method ​for flows in porous media %%//​%% ​submitted2019.\\ 
 +{{:​medfv-scheme.pdf|Method description}} {{:​medfv-tests.pdf|Experiments}}
  
-[2K.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.+[*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|}}
  
-[3A.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.+[*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|}}
  
-[4K.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.+[*V.KramarenkoK.Nikitin, Y.Vassilevski. A nonlinear correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.
  
-[5] 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|}}
  
-[6K.NikitinNonlinear 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 ModellingVol.22, No.11, (2010), 131–147.+
  
-[7] 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.+[*] 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 Modelling, Vol.28, No.3, (2013), pp.267-288. {{:​terekhov-vassilevski-13.pdf|}}
  
-[8] K.Nikitin, Y.Vassilevski. "A monotone finite volume method for advection ​diffusion equations and multiphase flows." %%//​%% ​Proceedings ECMOR XIIIEAGE, (2012).+[*] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski. "A monotone ​nonlinear ​finite volume method for diffusion equations and multiphase flows" %%//​%% ​Computational GeosciencesVol. 18, No.3-4, (2013), 311-324, DOI: 10.1007/​s10596-013-9387-6. {{:​nik-ter-vas-13.pdf|}}
  
-[9] K.D.Nikitin,​ K.M.Terekhov, Yu.V.Vassilevski. "A monotone ​nonlinear ​finite volume method for diffusion equations and multiphase flows" %%//%% Computational ​GeosciencesDOI: 10.1007/s10596-013-9387-6.+[*] 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.Nikitin, ​Y.Vassilevski. "A monotone finite volume method for advection diffusion equations and multiphase flows."​ %%//%% Proceedings ECMOR XIII, EAGE, (2012). {{:​nik-vas-ecmor2012.pdf|}} 
 + 
 +[*] K.Nikitin, A.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.1, 2011, 761–769. 
 + 
 +[*] K.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.229, (2010), pp.4017-4032. {{:​lip-svy-vas-10.pdf|}} 
 + 
 +[*] K.D.Nikitin,​ Y.V.Vassilevski. "A 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|}} 
 + 
 +[*] K.Nikitin. "​Nonlinear finite volume method for two-phase flow in porous media." ​(in Russian) ​%%//%% 
 +Mathematical Modelling, Vol.22, No.11, (2010), 131-147. {{:​nikitin-10.pdf|}} 
 + 
 +[*] K.Lipnikov, D.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|}} 
 + 
 +[*] A.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|}} 
 + 
 +[*] 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.1402318694.txt.gz · Last modified: 2014/06/09 16:58 by Kirill Nikitin