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 | 313 | 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 | 265 | 2016 |
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 | 208 | 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 | 155 | 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 | 126 | 2001 |
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 | 119 | 2010 |
A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes AA Danilov, YV Vassilevski Walter de Gruyter GmbH & Co. KG 24 (3), 207-227, 2009 | 110 | 2009 |
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 | 95 | 2012 |
Pressure Schur complement preconditioners for the discrete Oseen problem MA Olshanskii, YV Vassilevski SIAM Journal on Scientific Computing 29 (6), 2686-2704, 2007 | 92 | 2007 |
A monotone nonlinear finite volume method for diffusion equations and multiphase flows K Nikitin, K Terekhov, Y Vassilevski Computational Geosciences 18 (3), 311-324, 2014 | 80 | 2014 |
Methods of graph network reconstruction in personalized medicine A Danilov, Y Ivanov, R Pryamonosov, Y Vassilevski International journal for numerical methods in biomedical engineering 32 (8 …, 2016 | 65 | 2016 |
Adaptive generation of quasi-optimal tetrahedral meshes A Agouzal, K Lipnikov, Y Vassilevski East west journal of numerical mathematics 7 (4), 223-244, 1999 | 55 | 1999 |
Computational issues related to iterative coupling of subsurface and channel flows RHW Hoppe, P Porta, Y Vassilevski Calcolo 44, 1-20, 2007 | 54 | 2007 |
An adaptive algorithm for quasioptimal mesh generation YV Vasilevskii, KN Lipnikov Computational mathematics and mathematical physics 39 (9), 1468-1486, 1999 | 53 | 1999 |
An octree-based solver for the incompressible Navier–Stokes equations with enhanced stability and low dissipation MA Olshanskii, KM Terekhov, YV Vassilevski Computers & Fluids 84, 231-246, 2013 | 52 | 2013 |
A monotone nonlinear finite volume method for advection–diffusion equations on unstructured polyhedral meshes in 3D K Nikitin, Y Vassilevski Walter de Gruyter GmbH & Co. KG 25 (4), 335-358, 2010 | 52 | 2010 |
Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems K Lipnikov, D Svyatskiy, Y Vassilevski SIAM Journal on Scientific Computing 35 (2), A1120-A1136, 2013 | 51 | 2013 |
Non‐invasive coronary CT angiography‐derived fractional flow reserve: a benchmark study comparing the diagnostic performance of four different computational methodologies JM Carson, S Pant, C Roobottom, R Alcock, P Javier Blanco, ... International journal for numerical methods in biomedical engineering 35 (10 …, 2019 | 50 | 2019 |
On the elasticity of blood vessels in one-dimensional problems of hemodynamics YV Vassilevski, VY Salamatova, SS Simakov Computational mathematics and mathematical physics 55, 1567-1578, 2015 | 48 | 2015 |
Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy Y Vassilevski, M Olshanskii, S Simakov, A Kolobov, A Danilov Academic Press, 2020 | 44 | 2020 |