Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes K Lipnikov, M Shashkov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 227 (1), 492-512, 2007 | 211 | 2007 |

A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. Part II: On an arbitrary collocated mesh MJ Ni, R Munipalli, P Huang, NB Morley, MA Abdou Journal of Computational Physics 227 (1), 205-228, 2007 | 141 | 2007 |

Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes K Lipnikov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 228 (3), 703-716, 2009 | 135 | 2009 |

Iterative solution methods for modeling multiphase flow in porous media fully implicitly S Lacroix, Y Vassilevski, J Wheeler, M Wheeler SIAM Journal on Scientific Computing 25 (3), 905-926, 2003 | 103 | 2003 |

Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS) S Lacroix, YV Vassilevski, MF Wheeler Numerical linear algebra with applications 8 (8), 537-549, 2001 | 95 | 2001 |

A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes AA Danilov, YV Vassilevski Russian Journal of Numerical Analysis and Mathematical Modelling 24 (3), 207-227, 2009 | 76 | 2009 |

A monotone finite volume method for advection–diffusion equations on unstructured polygonal meshes K Lipnikov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 229 (11), 4017-4032, 2010 | 70 | 2010 |

Pressure Schur complement preconditioners for the discrete Oseen problem MA Olshanskii, YV Vassilevski SIAM Journal on Scientific Computing 29 (6), 2686-2704, 2007 | 70 | 2007 |

Methods of blood flow modelling N Bessonov, A Sequeira, S Simakov, Y Vassilevskii, V Volpert Mathematical modelling of natural phenomena 11 (1), 1-25, 2016 | 69 | 2016 |

Minimal stencil finite volume scheme with the discrete maximum principle K Lipnikov, D Svyatskiy, Y Vassilevski Russian Journal of Numerical Analysis and Mathematical Modelling 27 (4), 369-386, 2012 | 55 | 2012 |

Adaptive generation of quasi-optimal tetrahedral meshes A Agouzal, K Lipnikov, Y Vassilevski East west journal of numerical mathematics 7 (4), 223-244, 1999 | 53 | 1999 |

An adaptive algorithm for quasioptimal mesh generation YV Vasilevskii, KN Lipnikov Computational mathematics and mathematical physics 39 (9), 1468-1486, 1999 | 44 | 1999 |

A monotone nonlinear finite volume method for diffusion equations and multiphase flows K Nikitin, K Terekhov, Y Vassilevski Computational Geosciences 18 (3-4), 311-324, 2014 | 40 | 2014 |

A parallel Schwarz method for a convection-diffusion problem M Garbey, YA Kuznetsov, YV Vassilevski SIAM Journal on Scientific Computing 22 (3), 891-916, 2000 | 40 | 2000 |

Computational issues related to iterative coupling of subsurface and channel flows RHW Hoppe, P Porta, Y Vassilevski Calcolo 44 (1), 1-20, 2007 | 39 | 2007 |

Analysis and parallel implementation of adaptive mortar element methods R Hoppe, Y Iliash, Y Kuznetsov, Y Vassilevski, B Wohlmuth EAST WEST JOURNAL OF NUMERICAL MATHEMATICS 6, 223-248, 1998 | 38 | 1998 |

A parallel solver for unsteady incompressible 3D Navier–Stokes equations M Garbey, YV Vassilevski Parallel Computing 27 (4), 363-389, 2001 | 35 | 2001 |

A numerical method for the simulation of free surface flows of viscoplastic fluid in 3D KD Nikitin, MA Olshanskii, KM Terekhov, YV Vassilevski Journal of Computational Mathematics, 605-622, 2011 | 33 | 2011 |

A monotone nonlinear finite volume method for advection–diffusion equations on unstructured polyhedral meshes in 3D K Nikitin, Y Vassilevski Russian Journal of Numerical Analysis and Mathematical Modelling 25 (4), 335-358, 2010 | 33 | 2010 |

Reduced basis methods for optimal control of advection-diffusion problems A Quarteroni, G Rozza, A Quaini Advances in Numerical Mathematics, 193-216, 2007 | 32 | 2007 |