Research

• Yuri Vassilevski (deputy director of INM RAS, professor at MSU)
• Ivan Kapyrin (Ph.D., senior researcher at INM RAS)
• Kirill Nikitin (Ph.D., researcher at INM RAS)
• Alexander Danilov (Ph.D., researcher at INM RAS)
• Kirill Terekhov (Ph.D., researcher at INM RAS, postdoc in Stanford University)
• Alexey Chernyshenko (Ph.D., researcher at INM RAS)

[1] 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

[2] 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

[3] 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

[4] 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

[5] 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

[6] 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

[7] 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

[8] 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.

[9] 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

[10] 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

[11] 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

[12] K.D.Nikitin, K.M.Terekhov, Yu.V.Vassilevski. “A monotone nonlinear finite volume method for diffusion equations and multiphase flows” // Computational Geosciences, DOI: 10.1007/s10596-013-9387-6.nik-ter-vas-13.pdf