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fvmon [2014/06/09 15:42]
Kirill Nikitin
fvmon [2019/03/11 20:07]
Kirill Nikitin [Nonlinear finite volumes schemes research group:]
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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. {{:lip-svy-shash-vas-07.pdf|}}+[***new***] Monotone ​embedded discrete fractures method ​for flows in porous media %%//​%% ​submitted2019.\\ 
 +{{:medfv-scheme.pdf|Method description}} ​{{:medfv-tests.pdf|Experiments}}
  
-[2Y.VassilevskiI.Kapyrin"Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​CompMathand Math. Phys. Vol.48, No.8, (2008), 1349-1366. {{:kap-vas-08.pdf.pdf|}}+[*V.KramarenkoK.NikitinY.Vassilevski. A finite volume scheme with improved well 
 +modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences,​ 2017DOI: 10.1007/​s10596-017-9685-5. 
 + {{:cg-knv-v3.pdf|}}
  
-[3] K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone ​finite volume method for diffusion equations on polygonal meshes." ​%%//%% Journal of Computational Physics, Vol.228, No.3(2009), pp.703-716.{{:lip-svy-vas-09.pdf|}}+[*] K.NikitinK.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|}}
  
-[4A.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|}}+[*V.Kramarenko, K.Nikitin, Y.Vassilevski. A nonlinear ​correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.
  
-[5K.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|}}+[*I.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|}}
  
-[6K.D.Nikitin, Y.V.Vassilevski. ​"monotone finite folume 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|}}+[*A.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|}}
  
-[7] K.Nikitin. "​Nonlinear finite volume method for two-phase flow in porous media."​ (in Russian) %%//%%+[*] 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|}} 
 + 
 +[*] 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|}} 
 + 
 +[*] 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 folume 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|}} Mathematical Modelling, Vol.22, No.11, (2010), 131-147. {{:​nikitin-10.pdf|}}
  
-[8] 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.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "Interpolation-free monotone ​finite volume ​method for diffusion equations on polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.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|}}
  
-[9K.Nikitin, ​Y.Vassilevski. "A monotone finite volume method ​for advection ​diffusion ​equations and multiphase flows." %%//​%% ​Proceedings ECMOR XIIIEAGE, (2012).+[*] Y.Vassilevski, I.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|}}
  
-[10K.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|}}+[*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}}
  
-[11] K.D.NikitinK.M.TerekhovYu.V.Vassilevski. "A 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.Lipnikov, ​D.Svyatskiy, M.ShashkovY.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|}}
fvmon.txt · Last modified: 2022/04/07 15:19 by Kirill Nikitin