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Vitaliy Gyrya
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Year
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
1392016
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
1312009
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
882008
A model of hydrodynamic interaction between swimming bacteria
V Gyrya, IS Aranson, LV Berlyand, D Karpeev
Bulletin of mathematical biology 72, 148-183, 2010
592010
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
402019
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
322011
M-adaptation method for acoustic wave equation on square meshes
V Gyrya, K Lipnikov
Journal of Computational Acoustics 20 (04), 1250022, 2012
292012
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
242017
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
222014
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
212005
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
202016
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
172015
Collision of microswimmers in a viscous fluid
M Potomkin, V Gyrya, I Aranson, L Berlyand
Physical Review E 87 (5), 053005, 2013
142013
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
122021
Polyhedral discretization for PDE PREFACE
LB da Veiga, A Ern
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION …, 2016
122016
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
102017
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
82020
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
62016
A dispersion minimized mimetic method for cold plasma
VA Bokil, V Gyrya, DA McGregor
arXiv preprint arXiv:1604.01097, 2016
42016
On the local non-conforming virtual element spaces
G Manzini, V Gyrya
Los Alamos National Lab.(LANL), Los Alamos, NM (United States), 2014
42014
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