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Vassilevski, Yuri V.

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Author ID: vassilevski.yuri-v Recent zbMATH articles by "Vassilevski, Yuri V."
Published as: Vassilevski, Yuri V.; Vassilevski, Yuri; Vassilevski, Yu. V.; Vassilevski, Yu.; Vassilevski, Y. V.; Vassilevski, Y.
Documents Indexed: 100 Publications since 1993, including 1 Book
Co-Authors: 55 Co-Authors with 85 Joint Publications
886 Co-Co-Authors
all top 5

Co-Authors

4 single-authored
18 Olshanskii, Maxim A.
17 Nikitin, Kirill D.
17 Terekhov, Kirill M.
12 Lipnikov, Konstantin N.
10 Agouzal, Abdellatif
10 Danilov, Alexander A.
10 Salamatova, Victoria Yu.
7 Lozovskiy, Alexander V.
7 Simakov, Sergey S.
6 Kuznetsov, Yurii Alekseevich
5 Hoppe, Ronald H. W.
5 Kapyrin, Ivan Viktorovich
5 Tromeur-Dervout, Damien
4 Beklemysheva, Katerina A.
4 Chernyshenko, Alexey Y.
4 Dobroserdova, Tatiana K.
4 Konshin, Igor N.
4 Petrov, Igor’ Borisovich
4 Svyatsky, Daniil
4 Vasyukov, Aleksey V.
3 Gamilov, Timur M.
3 Garbey, Marc
3 Grigoriev, Georgiy K.
3 Kulberg, Nikolay S.
3 Wohlmuth, Barbara I.
2 Dyadechko, V. G.
2 Engelmann, Bernd
2 Iliash, Yu. I.
2 Kopylov, Philipp Yu.
2 Kramarenko, Vasily K.
2 Lacroix, Sébastien
2 Sequeira, Adélia
2 Volpert, Vitaly A.
2 Wheeler, Mary Fanett
2 Yanbarisov, Ruslan M.
1 Bogdanov, O. N.
1 Boursier, Isabelle
1 Burdakov, Oleg P.
1 Chesnokova, X. V.
1 Dobroserdova, Tatyana
1 Dobrovolsky, D. D.
1 El-Khatib, Nader
1 Kafi, Oualid
1 Kapranov, S. A.
1 Karavaikin, Pavel A.
1 Kazakov, Alexander O.
1 Kopytov, German V.
1 Kosukhin, Oleg N.
1 Liang, Fuyou
1 Liogky, Alexey A.
1 Nikolaev, D. V.
1 Olshahskii, Maxim
1 Panasenko, Grigory P.
1 Petrova, Svetozara I.
1 Porta, Paulo
1 Pryamonosov, Roman A.
1 Rudnev, Sergey G.
1 Shashkov, Mikhail J.
1 Shipilov, Anatoly A.
1 Svobodov, Andrey A.
1 Telyshev, Dmitry V.
1 Timofeev, Alexander E.
1 Tyrtyshnikov, Evgeniĭ Evgen’evich
1 Wheeler, John Archibald
1 Yurova, Alexandra S.
1 Yurpolskaya, Lyudmila A.

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 726 times in 414 Documents Cited by Year
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
103
2007
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. Zbl 1158.65083
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
70
2009
Minimal stencil finite volume scheme with the discrete maximum principle. Zbl 1262.65151
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu.
38
2012
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. Zbl 1192.65140
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu. V.
36
2010
A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes. Zbl 1166.65394
Danilov, A. A.; Vassilevski, Yu. V.
33
2009
Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028
Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri
33
2007
Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310
Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M.
31
2003
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
28
2001
Pressure Schur complement preconditioners for the discrete Oseen problem. Zbl 1252.65070
Olshanskii, Maxim A.; Vassilevski, Yuri V.
24
2007
A monotone nonlinear finite volume method for diffusion equations and multiphase flows. Zbl 1378.76076
Nikitin, Kirill; Terekhov, Kirill; Vassilevski, Yuri
20
2014
Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems. Zbl 1266.65181
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
18
2013
An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation. Zbl 1290.76106
Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
15
2013
Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. Zbl 1242.65114
Burdakov, Oleg; Kapyrin, Ivan; Vassilevski, Yuri
14
2012
A monotone nonlinear finite volume method for advection-diffusion equations on unstructured polyhedral meshes in 3D. Zbl 1195.65195
Nikitin, K.; Vassilevski, Yu.
14
2010
A parallel Schwarz method for a convection-diffusion problem. Zbl 0971.35007
Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V.
12
2000
Parallel finite volume computation on general meshes. Zbl 1437.65003
Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan
11
2020
On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
10
2002
ILU preconditioners for nonsymmetric saddle-point matrices with application to the incompressible Navier-Stokes equations. Zbl 1326.76061
Konshin, Igor N.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
10
2015
A finite volume scheme with the discrete maximum principle for diffusion equations on polyhedral meshes. Zbl 1298.65158
Chernyshenko, Alexey; Vassilevski, Yuri
10
2014
On the elasticity of blood vessels in one-dimensional problems of hemodynamics. Zbl 1446.92026
Vassilevski, Yu. V.; Salamatova, V. Yu.; Simakov, S. S.
10
2015
Minimization of gradient errors of piecewise linear interpolation on simplicial meshes. Zbl 1231.65240
Agouzal, Abdellatif; Vassilevski, Yuri V.
9
2010
Numerical issues of modelling blood flow in networks of vessels with pathologies. Zbl 1260.92039
Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T.
9
2011
Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. Zbl 1282.76126
Terekhov, K.; Vassilevski, Yu.
8
2013
Nonlinear finite volume method with discrete maximum principle for the two-phase flow model. Zbl 1388.76184
Nikitin, K.; Novikov, K.; Vassilevski, Yuri
8
2016
A hybrid finite volume – finite element method for bulk-surface coupled problems. Zbl 1375.76098
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
8
2018
A numerical method for the simulation of free surface flows of viscoplastic fluids in 3D. Zbl 1265.76025
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
7
2011
Multiscale models of blood flow in the compliant aortic bifurcation. Zbl 1446.92012
Dobroserdova, Tatyana; Liang, Fuyou; Panasenko, Grigory; Vassilevski, Yuri
7
2019
Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations. Zbl 1102.76044
Tromeur-Dervout, Damien; Vassilevski, Yuri
7
2006
Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104
Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V.
7
2015
Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098
Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B.
6
1998
Analysis and assessment of a monolithic FSI finite element method. Zbl 1411.76068
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
6
2019
Adaptive generation of quasi-optimal tetrahedral meshes. Zbl 0946.65125
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
1999
A splitting method for numerical simulation of free surface flows of incompressible fluids with surface tension. Zbl 1309.76141
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
6
2015
A semi-Lagrangian method on dynamically adapted octree meshes. Zbl 1328.65054
Terekhov, Kirill M.; Nikitin, Kirill D.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
6
2015
Hessian-free metric-based mesh adaptation via geometry of interpolation error. Zbl 1224.65283
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
2010
An adaptive numerical method for free surface flows passing rigidly mounted obstacles. Zbl 1410.76255
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.; Yanbarisov, Ruslan M.
6
2017
Finite volume method for coupled subsurface flow problems. I: Darcy problem. Zbl 1452.65307
Terekhov, Kirill M.; Vassilevski, Yuri V.
5
2019
Parallel adaptive solution of 3D boundary value problems by Hessian recovery. Zbl 1025.65057
Lipnikov, Konstantin; Vassilevski, Yuri
5
2003
Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of diseased wall. Zbl 1229.35308
Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T.
5
2011
Concise formulas for strain analysis of soft biological tissues. Zbl 1456.74126
Vassilevski, Yu. V.; Salamatova, V. Yu.; Lozovskiy, A. V.
5
2017
Patient specific haemodynamic modeling after occlusion treatment in leg. Zbl 1307.35304
Gamilov, T.; Ivanov, Yu.; Kopylov, P.; Simakov, S.; Vassilevski, Yu.
4
2014
Hessian-based anisotropic mesh adaption in domains with discrete boundaries. Zbl 1080.65115
Vassilevski, Yu. V.; Dyadechko, V. G.; Lipnikov, K. N.
3
2005
Unified asymptotic analysis of interpolation errors for optimal meshes. Zbl 1156.65321
Vassilevski, Yu. V.; Agouzal, A.
3
2005
A multi-model approach to intravenous filter optimization. Zbl 1193.92067
Vassilevski, Y. V.; Simakov, S. S.; Kapranov, S. A.
3
2010
A hybrid domain decomposition method based on aggregation. Zbl 1164.65358
Vassilevski, Yu.
3
2004
Erratum to: “Methods of blood flow modelling”. Zbl 1384.92023
Bessonov, N.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V.
3
2016
A parallel solver for unsteady incompressible 3D Navier-Stokes equations. Zbl 0971.68220
Garbey, M.; Vassilevski, Y. V.
3
2001
A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle. Zbl 1368.76031
Danilov, Alexander; Lozovskiy, Alexander; Olshanskii, Maxim; Vassilevski, Yuri
3
2017
A quasi-Lagrangian finite element method for the Navier-Stokes equations in a time-dependent domain. Zbl 1440.76078
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2
2018
CFD technology for 3D simulation of large-scale hydrodynamic events and disasters. Zbl 1308.76214
Vassilevski, Yu. V.; Nikitin, K. D.; Olshanskii, M. A.; Terekhov, K. M.
2
2012
An unconditionally stable semi-implicit FSI finite element method. Zbl 1423.76256
Lozovskiy, Alexander; Olshanskii, Maxim A.; Salamatova, Victoria; Vassilevski, Yuri V.
2
2015
A finite volume scheme with improved well modeling in subsurface flow simulation. Zbl 1396.76059
Kramarenko, Vasiliy; Nikitin, Kirill; Vassilevski, Yuri
2
2017
Finite element models of hyperelastic materials based on a new strain measure. Zbl 1460.74083
Salamatova, V. Yu.; Vassilevski, Yu. V.; Wang, L.
2
2018
Mathematical modelling of atherosclerosis. Zbl 1431.92031
El Khatib, N.; Kafi, O.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V.
2
2019
Nonlinear monotone FV schemes for radionuclide geomigration and multiphase flow models. Zbl 1426.76384
Kapyrin, Ivan; Nikitin, Kirill; Terekhov, Kirill; Vassilevski, Yuri
2
2014
Transcranial ultrasound of cerebral vessels in silico: proof of concept. Zbl 1349.92090
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kazakov, Alexander O.; Kulberg, Nikolay S.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vasyukov, Aleksey V.
2
2016
Numerical modelling of medical ultrasound: phantom-based verification. Zbl 1379.92028
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.
2
2017
A splitting method for free surface flows over partially submerged obstacles. Zbl 1392.65067
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
2
2018
A nonlinear correction FV scheme for near-well regions. Zbl 1365.76160
Kramarenko, Vasiliy; Nikitin, Kirill; Vassilevski, Yuri
1
2017
Error estimates for a finite element solution of the diffusion equation based on composite norms. Zbl 1170.65085
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
1
2009
POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture. Zbl 1344.76068
Tromeur-Dervout, D.; Vassilevski, Y.
1
2007
Generation of quasi-optimal meshes based on a posteriori error estimates. Zbl 1134.65310
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri
1
2008
Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes. Zbl 1177.76381
Vassilevskij, Yu. V.; Kapyrin, I. V.
1
2008
Two methods of surface tension treatment in free surface flow simulations. Zbl 1448.76063
Nikitin, Kirill D.; Terekhov, Kirill M.; Vassilevski, Yuri V.
1
2018
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Zbl 1221.65291
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri V.
1
2011
LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. Zbl 1424.76011
Konshin, Igor; Olshanskii, Maxim; Vassilevski, Yuri
1
2017
Numerical simulation of aberrated medical ultrasound signals. Zbl 1405.92132
Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.; Vassilevski, Yuri V.
1
2018
Parallel finite volume computation on general meshes. Zbl 1437.65003
Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan
11
2020
Multiscale models of blood flow in the compliant aortic bifurcation. Zbl 1446.92012
Dobroserdova, Tatyana; Liang, Fuyou; Panasenko, Grigory; Vassilevski, Yuri
7
2019
Analysis and assessment of a monolithic FSI finite element method. Zbl 1411.76068
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
6
2019
Finite volume method for coupled subsurface flow problems. I: Darcy problem. Zbl 1452.65307
Terekhov, Kirill M.; Vassilevski, Yuri V.
5
2019
Mathematical modelling of atherosclerosis. Zbl 1431.92031
El Khatib, N.; Kafi, O.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V.
2
2019
A hybrid finite volume – finite element method for bulk-surface coupled problems. Zbl 1375.76098
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
8
2018
A quasi-Lagrangian finite element method for the Navier-Stokes equations in a time-dependent domain. Zbl 1440.76078
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2
2018
Finite element models of hyperelastic materials based on a new strain measure. Zbl 1460.74083
Salamatova, V. Yu.; Vassilevski, Yu. V.; Wang, L.
2
2018
A splitting method for free surface flows over partially submerged obstacles. Zbl 1392.65067
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
2
2018
Two methods of surface tension treatment in free surface flow simulations. Zbl 1448.76063
Nikitin, Kirill D.; Terekhov, Kirill M.; Vassilevski, Yuri V.
1
2018
Numerical simulation of aberrated medical ultrasound signals. Zbl 1405.92132
Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.; Vassilevski, Yuri V.
1
2018
An adaptive numerical method for free surface flows passing rigidly mounted obstacles. Zbl 1410.76255
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.; Yanbarisov, Ruslan M.
6
2017
Concise formulas for strain analysis of soft biological tissues. Zbl 1456.74126
Vassilevski, Yu. V.; Salamatova, V. Yu.; Lozovskiy, A. V.
5
2017
A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle. Zbl 1368.76031
Danilov, Alexander; Lozovskiy, Alexander; Olshanskii, Maxim; Vassilevski, Yuri
3
2017
A finite volume scheme with improved well modeling in subsurface flow simulation. Zbl 1396.76059
Kramarenko, Vasiliy; Nikitin, Kirill; Vassilevski, Yuri
2
2017
Numerical modelling of medical ultrasound: phantom-based verification. Zbl 1379.92028
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.
2
2017
A nonlinear correction FV scheme for near-well regions. Zbl 1365.76160
Kramarenko, Vasiliy; Nikitin, Kirill; Vassilevski, Yuri
1
2017
LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. Zbl 1424.76011
Konshin, Igor; Olshanskii, Maxim; Vassilevski, Yuri
1
2017
Nonlinear finite volume method with discrete maximum principle for the two-phase flow model. Zbl 1388.76184
Nikitin, K.; Novikov, K.; Vassilevski, Yuri
8
2016
Erratum to: “Methods of blood flow modelling”. Zbl 1384.92023
Bessonov, N.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V.
3
2016
Transcranial ultrasound of cerebral vessels in silico: proof of concept. Zbl 1349.92090
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kazakov, Alexander O.; Kulberg, Nikolay S.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vasyukov, Aleksey V.
2
2016
ILU preconditioners for nonsymmetric saddle-point matrices with application to the incompressible Navier-Stokes equations. Zbl 1326.76061
Konshin, Igor N.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
10
2015
On the elasticity of blood vessels in one-dimensional problems of hemodynamics. Zbl 1446.92026
Vassilevski, Yu. V.; Salamatova, V. Yu.; Simakov, S. S.
10
2015
Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104
Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V.
7
2015
A splitting method for numerical simulation of free surface flows of incompressible fluids with surface tension. Zbl 1309.76141
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
6
2015
A semi-Lagrangian method on dynamically adapted octree meshes. Zbl 1328.65054
Terekhov, Kirill M.; Nikitin, Kirill D.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
6
2015
An unconditionally stable semi-implicit FSI finite element method. Zbl 1423.76256
Lozovskiy, Alexander; Olshanskii, Maxim A.; Salamatova, Victoria; Vassilevski, Yuri V.
2
2015
A monotone nonlinear finite volume method for diffusion equations and multiphase flows. Zbl 1378.76076
Nikitin, Kirill; Terekhov, Kirill; Vassilevski, Yuri
20
2014
A finite volume scheme with the discrete maximum principle for diffusion equations on polyhedral meshes. Zbl 1298.65158
Chernyshenko, Alexey; Vassilevski, Yuri
10
2014
Patient specific haemodynamic modeling after occlusion treatment in leg. Zbl 1307.35304
Gamilov, T.; Ivanov, Yu.; Kopylov, P.; Simakov, S.; Vassilevski, Yu.
4
2014
Nonlinear monotone FV schemes for radionuclide geomigration and multiphase flow models. Zbl 1426.76384
Kapyrin, Ivan; Nikitin, Kirill; Terekhov, Kirill; Vassilevski, Yuri
2
2014
Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems. Zbl 1266.65181
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
18
2013
An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation. Zbl 1290.76106
Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
15
2013
Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. Zbl 1282.76126
Terekhov, K.; Vassilevski, Yu.
8
2013
Minimal stencil finite volume scheme with the discrete maximum principle. Zbl 1262.65151
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu.
38
2012
Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. Zbl 1242.65114
Burdakov, Oleg; Kapyrin, Ivan; Vassilevski, Yuri
14
2012
CFD technology for 3D simulation of large-scale hydrodynamic events and disasters. Zbl 1308.76214
Vassilevski, Yu. V.; Nikitin, K. D.; Olshanskii, M. A.; Terekhov, K. M.
2
2012
Numerical issues of modelling blood flow in networks of vessels with pathologies. Zbl 1260.92039
Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T.
9
2011
A numerical method for the simulation of free surface flows of viscoplastic fluids in 3D. Zbl 1265.76025
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
7
2011
Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of diseased wall. Zbl 1229.35308
Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T.
5
2011
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Zbl 1221.65291
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri V.
1
2011
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. Zbl 1192.65140
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu. V.
36
2010
A monotone nonlinear finite volume method for advection-diffusion equations on unstructured polyhedral meshes in 3D. Zbl 1195.65195
Nikitin, K.; Vassilevski, Yu.
14
2010
Minimization of gradient errors of piecewise linear interpolation on simplicial meshes. Zbl 1231.65240
Agouzal, Abdellatif; Vassilevski, Yuri V.
9
2010
Hessian-free metric-based mesh adaptation via geometry of interpolation error. Zbl 1224.65283
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
2010
A multi-model approach to intravenous filter optimization. Zbl 1193.92067
Vassilevski, Y. V.; Simakov, S. S.; Kapranov, S. A.
3
2010
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. Zbl 1158.65083
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
70
2009
A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes. Zbl 1166.65394
Danilov, A. A.; Vassilevski, Yu. V.
33
2009
Error estimates for a finite element solution of the diffusion equation based on composite norms. Zbl 1170.65085
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
1
2009
Generation of quasi-optimal meshes based on a posteriori error estimates. Zbl 1134.65310
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri
1
2008
Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes. Zbl 1177.76381
Vassilevskij, Yu. V.; Kapyrin, I. V.
1
2008
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
103
2007
Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028
Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri
33
2007
Pressure Schur complement preconditioners for the discrete Oseen problem. Zbl 1252.65070
Olshanskii, Maxim A.; Vassilevski, Yuri V.
24
2007
POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture. Zbl 1344.76068
Tromeur-Dervout, D.; Vassilevski, Y.
1
2007
Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations. Zbl 1102.76044
Tromeur-Dervout, Damien; Vassilevski, Yuri
7
2006
Hessian-based anisotropic mesh adaption in domains with discrete boundaries. Zbl 1080.65115
Vassilevski, Yu. V.; Dyadechko, V. G.; Lipnikov, K. N.
3
2005
Unified asymptotic analysis of interpolation errors for optimal meshes. Zbl 1156.65321
Vassilevski, Yu. V.; Agouzal, A.
3
2005
A hybrid domain decomposition method based on aggregation. Zbl 1164.65358
Vassilevski, Yu.
3
2004
Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310
Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M.
31
2003
Parallel adaptive solution of 3D boundary value problems by Hessian recovery. Zbl 1025.65057
Lipnikov, Konstantin; Vassilevski, Yuri
5
2003
On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
10
2002
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
28
2001
A parallel solver for unsteady incompressible 3D Navier-Stokes equations. Zbl 0971.68220
Garbey, M.; Vassilevski, Y. V.
3
2001
A parallel Schwarz method for a convection-diffusion problem. Zbl 0971.35007
Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V.
12
2000
Adaptive generation of quasi-optimal tetrahedral meshes. Zbl 0946.65125
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
1999
Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098
Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B.
6
1998
all top 5

Cited by 662 Authors

34 Vassilevski, Yuri V.
30 Yuan, Guangwei
20 Sheng, Zhiqiang
18 Olshanskii, Maxim A.
16 Wu, Jiming
15 He, Xiaoming
15 Terekhov, Kirill M.
11 Nikitin, Kirill D.
10 Edwards, Michael G.
9 Beklemysheva, Katerina A.
8 Gao, Zhiming
8 Masson, Roland
8 Petrov, Igor’ Borisovich
8 Salamatova, Victoria Yu.
8 Su, Shuai
7 Boglaev, Igor P.
7 Chen, Zhangxin
7 Lipnikov, Konstantin N.
6 Brenner, Konstantin
6 Simakov, Sergey S.
6 Sun, Shuyu
6 Vasyukov, Aleksey V.
6 Wheeler, Mary Fanett
6 Xu, Jinchao
5 Dong, Qiannan
5 Nakshatrala, K. B.
5 Pušić, Milenko
5 Rebholz, Leo G.
5 Svyatsky, Daniil
5 Tchelepi, Hamdi A.
5 Yanbarisov, Ruslan M.
5 Yotov, Ivan
4 Agouzal, Abdellatif
4 Bui, Quan M.
4 Chang, Lina
4 Chernyshenko, Alexey Y.
4 Dimkić, Milan
4 Dotlić, Milan
4 Feng, Xinlong
4 Flemisch, Bernd
4 Helmig, Rainer
4 Huang, Weizhang
4 Li, Jian
4 Li, Yonghai
4 Lozovskiy, Alexander V.
4 Pal, Mayur
4 Pokorni, Boris
4 Schneider, Martin
4 Vidovic, Dragan
4 Vohralík, Martin
4 Zhang, Chensong
3 Beirão da Veiga, Lourenço
3 Brezzi, Franco
3 Castelletto, Nicola
3 Dobroserdova, Tatiana K.
3 Gamilov, Timur M.
3 Ganis, Benjamin
3 Gao, Yali
3 Grigoriev, Georgiy K.
3 Guibault, François
3 Gunzburger, Max D.
3 Heister, Timo
3 Hennicker, Julian
3 Kapyrin, Ivan Viktorovich
3 Kazakov, Alexander O.
3 Kopylov, Philipp Yu.
3 Kulberg, Nikolay S.
3 Kumar, Sunil
3 Le Potier, Christophe
3 Liang, Fuyou
3 Liogky, Alexey A.
3 Liu, Hui
3 Lyra, Paulo Roberto Maciel
3 Ming, Ju
3 Osei-Kuffuor, Daniel
3 Pencheva, Gergina V.
3 Qiu, Changxin
3 Vassilev, Danail
3 Vuik, Cornelis
3 Wang, Changqing
3 Wang, Kun
3 Wang, Yihong
3 Wathen, Andrew John
3 White, Joshua A.
3 Wu, Shuhong
3 Xiao, Xufeng
3 Xie, Hui
3 Xu, Xuejun
3 Yong, Heng
3 Zhai, Chuanlei
3 Zheng, Hongwen
2 Abushaikha, Ahmad S.
2 Adibi, Hojatollah
2 Anuprienko, D. V.
2 Aulisa, Eugenio
2 Beaude, Laurence
2 Benzi, Michele
2 Bochev, Pavel B.
2 Burdakov, Oleg P.
2 Büsing, Henrik
...and 562 more Authors
all top 5

Cited in 77 Serials

82 Journal of Computational Physics
31 Computer Methods in Applied Mechanics and Engineering
22 Computational Geosciences
19 Journal of Computational and Applied Mathematics
19 Russian Journal of Numerical Analysis and Mathematical Modelling
18 SIAM Journal on Scientific Computing
14 Journal of Scientific Computing
12 Applied Mathematics and Computation
10 Computers and Fluids
10 Computers & Mathematics with Applications
10 Communications in Computational Physics
9 International Journal for Numerical Methods in Fluids
9 Applied Numerical Mathematics
8 Lobachevskii Journal of Mathematics
7 Numerische Mathematik
6 Applied Mathematics Letters
6 Computational Mathematics and Mathematical Physics
5 Mathematics of Computation
5 International Journal for Numerical Methods in Engineering
5 Numerical Linear Algebra with Applications
5 Advances in Computational Mathematics
4 Mathematics and Computers in Simulation
4 Numerical Methods for Partial Differential Equations
4 Mathematical Modelling of Natural Phenomena
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Computing and Visualization in Science
3 Differential Equations
3 Journal of Numerical Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Advances in Applied Mathematics and Mechanics
2 SIAM Journal on Numerical Analysis
2 Computational Mechanics
2 Applied Mathematical Modelling
2 Linear Algebra and its Applications
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Matematicheskoe Modelirovanie
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics
2 Multiscale Modeling & Simulation
2 GEM - International Journal on Geomathematics
2 International Journal on Finite Volumes
1 Acta Mechanica
1 Mathematical Methods in the Applied Sciences
1 Moscow University Mathematics Bulletin
1 ACM Transactions on Mathematical Software
1 BIT
1 Calcolo
1 Journal of Optimization Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Journal of Computational Mathematics
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Filomat
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Mathematical and Computer Modelling of Dynamical Systems
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Foundations of Computational Mathematics
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 GAMM-Mitteilungen
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Algorithms
1 Science China. Mathematics
1 Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Communications on Applied Mathematics and Computation
1 Journal of Computational and Theoretical Transport

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