User Tools

Site Tools


Sidebar

Translations of this page:
fvmon

This is an old revision of the document!


Nonlinear finite volumes schemes research group:

Publications

[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.

[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.

[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.

[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.

[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.

[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.

[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.

[9] K.Nikitin, Y.Vassilevski. “A monotone finite volume method for advection diffusion equations and multiphase flows.” // Proceedings ECMOR XIII, EAGE, (2012).

[10] 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.

[11] 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.

fvmon.1402319617.txt.gz · Last modified: 2014/06/09 17:13 by Kirill Nikitin