The nonconforming virtual element method for the Stokes equations A Cangiani, V Gyrya, G Manzini SIAM Journal on Numerical Analysis 54 (6), 3411-3435, 2016 | 139 | 2016 |

Mimetic finite difference method for the Stokes problem on polygonal meshes LB Da Veiga, V Gyrya, K Lipnikov, G Manzini Journal of computational physics 228 (19), 7215-7232, 2009 | 131 | 2009 |

High-order mimetic finite difference method for diffusion problems on polygonal meshes V Gyrya, K Lipnikov Journal of Computational Physics 227 (20), 8841-8854, 2008 | 88 | 2008 |

A model of hydrodynamic interaction between swimming bacteria V Gyrya, IS Aranson, LV Berlyand, D Karpeev Bulletin of mathematical biology 72, 148-183, 2010 | 59 | 2010 |

An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks V Gyrya, A Zlotnik Applied Mathematical Modelling 65, 34-51, 2019 | 40 | 2019 |

Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations V Gyrya, K Lipnikov, IS Aranson, L Berlyand Journal of mathematical biology 62, 707-740, 2011 | 32 | 2011 |

M-adaptation method for acoustic wave equation on square meshes V Gyrya, K Lipnikov Journal of Computational Acoustics 20 (04), 1250022, 2012 | 29 | 2012 |

Virtual element methods for elliptic problems on polygonal meshes A Cangiani, OJ Sutton, V Gyrya, G Manzini Generalized Barycentric Coordinates in Computer Graphics and Computational …, 2017 | 24 | 2017 |

M-adaptation in the mimetic finite difference method V Gyrya, K Lipnikov, G Manzini, D Svyatskiy Mathematical Models and Methods in Applied Sciences 24 (08), 1621-1663, 2014 | 22 | 2014 |

A numerical study of one-step models of polymerization: Frontal versus bulk mode SA Cardarelli, D Golovaty, LK Gross, VT Gyrya, J Zhu Physica D: Nonlinear Phenomena 206 (3-4), 145-165, 2005 | 21 | 2005 |

The arbitrary order mixed mimetic finite difference method for the diffusion equation V Gyrya, K Lipnikov, G Manzini ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 851-877, 2016 | 20 | 2016 |

Dispersion reducing methods for edge discretizations of the electric vector wave equation VA Bokil, NL Gibson, V Gyrya, DA McGregor Journal of Computational Physics 287, 88-109, 2015 | 17 | 2015 |

Collision of microswimmers in a viscous fluid M Potomkin, V Gyrya, I Aranson, L Berlyand Physical Review E 87 (5), 053005, 2013 | 14 | 2013 |

The virtual element method for resistive magnetohydrodynamics SN Alvarez, V Bokil, V Gyrya, G Manzini Computer Methods in Applied Mechanics and Engineering 381, 113815, 2021 | 12 | 2021 |

Polyhedral discretization for PDE PREFACE LB da Veiga, A Ern ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION …, 2016 | 12 | 2016 |

The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor V Gyrya, K Lipnikov Journal of Computational Physics 348, 549-566, 2017 | 10 | 2017 |

Machine learning approaches for the solution of the riemann problem in fluid dynamics: a case study V Gyrya, M Shashkov, A Skurikhin, S Tokareva preprint, 2020 | 8 | 2020 |

C1-continuous virtual element method for Poisson-Kirchhoff plate problem V Gyrya, HM Mourad Los Alamos National Lab.(LANL), Los Alamos, NM (United States), 2016 | 6 | 2016 |

A dispersion minimized mimetic method for cold plasma VA Bokil, V Gyrya, DA McGregor arXiv preprint arXiv:1604.01097, 2016 | 4 | 2016 |

On the local non-conforming virtual element spaces G Manzini, V Gyrya Los Alamos National Lab.(LANL), Los Alamos, NM (United States), 2014 | 4 | 2014 |