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Olshanskii, Maxim A.

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Author ID: olshanskii.maxim-a Recent zbMATH articles by "Olshanskii, Maxim A."
Published as: Ol’shanskii, M. A.; Ol’shanskij, M. A.; Olshanskii, M. A.; Olshanskii, Maxim; Olshanskii, Maxim A.
Documents Indexed: 99 Publications since 1993, including 3 Books

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 1,137 times in 610 Documents Cited by Year
Grad-div stablilization for Stokes equations. Zbl 1051.65103
Olshanskii, Maxim A.; Reusken, Arnold
83
2004
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
79
2006
A finite element method for elliptic equations on surfaces. Zbl 1204.58019
Olshanskii, Maxim A.; Reusken, Arnold; Grande, Jörg
61
2009
Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations. Zbl 1231.76161
Olshanskii, Maxim; Lube, Gert; Heister, Timo; Löwe, Johannes
58
2009
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. Zbl 1161.76030
Layton, William; Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
51
2008
Stabilized finite element schemes with LBB-stable elements for incompressible flows. Zbl 1063.76054
Gelhard, Tobias; Lube, Gert; Olshanskii, Maxim A.; Starcke, Jan-Hendrik
39
2005
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
38
2011
Iterative methods for linear systems. Theory and applications. Zbl 1320.65050
Olshanskii, Maxim A.; Tyrtyshnikov, Eugene E.
29
2014
Analysis of a Stokes interface problem. Zbl 1092.65104
Olshanskii, Maxim A.; Reusken, Arnold
28
2006
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
26
2015
A finite element method for surface PDEs: Matrix properties. Zbl 1204.65136
Olshanskii, Maxim A.; Reusken, Arnold
26
2010
Two-level method and some a priori estimates in unsteady Navier-Stokes calculations. Zbl 0940.76079
Olshanskii, Maxim A.
24
1999
An Eulerian space-time finite element method for diffusion problems on evolving surfaces. Zbl 1320.76072
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
23
2014
A stabilized finite element method for advection-diffusion equations on surfaces. Zbl 1293.65159
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
23
2014
Pressure Schur complement preconditioners for the discrete Oseen problem. Zbl 1252.65070
Olshanskii, Maxim A.; Vassilevski, Yuri V.
23
2007
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Zbl 1120.65059
Olshanskii, Maxim A.; Peters, Jörg; Reusken, Arnold
23
2006
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
22
2011
Error analysis of a space-time finite element method for solving PDEs on evolving surfaces. Zbl 1307.65120
Olshanskii, Maxim A.; Reusken, Arnold
21
2014
Enabling numerical accuracy of Navier-Stokes-\(\alpha\) through deconvolution and enhanced stability. Zbl 1267.76021
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
21
2011
On simulation of outflow boundary conditions in finite difference calculations for incompressible fluid. Zbl 0959.76062
Ol’shanskii, M. A.; Staroverov, V. M.
19
2000
An iterative method for the Stokes-type problem with variable viscosity. Zbl 1410.76290
Grinevich, Piotr P.; Olshanskii, Maxim A.
18
2009
Trace finite element methods for PDEs on surfaces. Zbl 1448.65245
Olshanskii, Maxim A.; Reusken, Arnold
17
2017
Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. Zbl 0964.65129
Kobelkov, Georgij M.; Olshanskii, Maxim A.
17
2000
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. Zbl 1334.76083
Olshanskii, Maxim A.; Rebholz, Leo G.
16
2010
On conservation laws of Navier-Stokes Galerkin discretizations. Zbl 1415.65222
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
13
2017
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1387.76052
Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
13
2017
Convergence analysis of a multigrid method for a convection-dominated model problem. Zbl 1080.65105
Olshanskii, Maxim A.; Reusken, Arnold
13
2004
Stable finite element calculation of incompressible flows using the rotation form of convection. Zbl 1016.76051
Lube, Gert; Olshanskii, Maxim A.
13
2002
Inf-sup stability of geometrically unfitted Stokes finite elements. Zbl 1391.76121
Guzmán, Johnny; Olshanskii, Maxim
12
2018
An adaptive surface finite element method based on volume meshes. Zbl 1248.65122
Demlow, Alan; Olshanskii, Maxim A.
12
2012
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. Zbl 1335.65094
Olshanskii, Maxim A.; Safin, Danil
11
2016
On error analysis for the 3D Navier-Stokes equations in velocity-vorticity-helicity form. Zbl 1222.35143
Lee, Hyesuk K.; Olshanskii, Maxim A.; Rebholz, Leo G.
11
2011
On the convergence of a multigrid method for linear reaction-diffusion problems. Zbl 0972.65082
Olshanskii, M. A.; Reusken, A.
10
2000
On the best constant in the inf-sup condition for enlongated rectangular domains. Zbl 0979.76070
Ol’shanskij, M. A.; Chizhonkov, E. V.
10
2000
Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
9
2018
A finite element method for the surface Stokes problem. Zbl 1397.65287
Olshanskii, Maxim A.; Quaini, Annalisa; Reusken, Arnold; Yushutin, Vladimir
9
2018
A trace finite element method for vector-Laplacians on surfaces. Zbl 1402.65158
Gross, Sven; Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
9
2018
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
Bordas, Stéphane P. A. (ed.); Burman, Erik (ed.); Larson, Mats G. (ed.); Olshanskii, Maxim A. (ed.)
9
2017
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.
9
2015
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.
9
2013
Multigrid analysis for the time dependent Stokes problem. Zbl 1426.76293
Olshanskii, Maxim A.
9
2012
On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
9
2011
An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations. Zbl 0998.76069
Olshanskii, Maxim A.
9
1999
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
8
2008
Navier–Stokes equations in rotation form: A robust multigrid solver for the velocity problem. Zbl 1020.65095
Olshanskii, Maxim A.; Reusken, Arnold
8
2002
A trace finite element method for PDEs on evolving surfaces. Zbl 1371.65110
Olshanskii, Maxim A.; Xu, Xianmin
7
2017
Robust preconditioning for XFEM applied to time-dependent Stokes problems. Zbl 1398.76106
Gross, Sven; Ludescher, Thomas; Olshanskii, Maxim; Reusken, Arnold
7
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.
6
2018
Numerical integration over implicitly defined domains for higher order unfitted finite element methods. Zbl 1354.65252
Olshanskii, M. A.; Safin, D.
6
2016
A finite element solver and energy stable coupling for 3D and 1D fluid models. Zbl 1286.76082
Dobroserdova, Tatiana K.; Olshanskii, Maxim A.
6
2013
Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics. Zbl 1426.74302
Olshanskii, Maxim A.; Rebholz, Leo G.
6
2011
Two finite-difference schemes for calculation of Bingham fluid flows in a cavity. Zbl 1151.76539
Muravleva, E. A.; Olshanskii, M. A.
6
2008
A stabilized trace finite element method for partial differential equations on evolving surfaces. Zbl 1402.65112
Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin
5
2018
An adaptive octree finite element method for PDEs posed on surfaces. Zbl 1425.65155
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.
5
2015
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.
5
2011
A mixed formulation of the Bingham fluid flow problem: analysis and numerical solution. Zbl 1230.76007
Aposporidis, Alexis; Haber, Eldad; Olshanskii, Maxim A.; Veneziani, Alessandro
5
2011
Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations. Zbl 1227.76037
Olshanskii, Maxim; Rebholz, Leo G.
5
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.
4
2017
Natural vorticity boundary conditions on solid walls. Zbl 1423.76100
Olshanskii, Maxim A.; Heister, Timo; Rebholz, Leo G.; Galvin, Keith J.
4
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.
4
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.
4
2015
A connection between filter stabilization and eddy viscosity models. Zbl 1277.76040
Olshanskii, Maxim A.; Xiong, Xin
4
2013
Non-degenerate Eulerian finite element method for solving PDEs on surfaces. Zbl 1276.65079
Chernyshenko, A. Y.; Olshanskii, M. A.
4
2013
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
4
2012
Analysis of semi-staggered finite difference method with application to Bingham flows. Zbl 1229.76067
Olshanskii, Maxim A.
4
2009
An unfitted finite element method for the Darcy problem in a fracture network. Zbl 1448.76152
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.
3
2020
An Eulerian finite element method for PDEs in time-dependent domains. Zbl 1422.65223
Lehrenfeld, Christoph; Olshanskii, Maxim
3
2019
On surface meshes induced by level set functions. Zbl 1388.65157
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
3
2012
Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060
Olshanskii, M. A.; Simoncini, V.
3
2010
On the Stokes problem with model boundary conditions. Zbl 0886.35110
Ol’shanskij, M. A.
3
1997
Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. Zbl 07074572
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
2
2019
Analysis and assessment of a monolithic FSI finite element method. Zbl 1411.76068
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2
2019
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
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
2
2018
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
2
2017
A fluid solver based on vorticity-helical density equations with application to a natural convection in a cubic cavity. Zbl 1253.76080
Olshanskii, Maxim A.
2
2012
A discrete projection method for incompressible viscous flow with Coriolis force. Zbl 1194.76218
Sokolov, Andriy; Olshanskii, Maxim A.; Turek, Stefan
2
2008
A penalty finite element method for a fluid system posed on embedded surface. Zbl 1446.76095
Olshanskii, Maxim A.; Yushutin, Vladimir
1
2019
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.
1
2018
LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. Zbl 1424.76011
Konshin, Igor; Olshanskii, Maxim; Vassilevski, Yuri
1
2017
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.
1
2012
Numerical study of a discrete projection method for rotating incompressible flows. Zbl 1175.35104
Sokolov, Andriy; Turek, Stefan; Olshanskii, Maxim A.
1
2008
An analysis of the multigtrid method for the convection-diffusion equations with the Dirichlet boundary conditions. Zbl 1100.76037
Ol’shanskij, M. A.
1
2004
On numerical solution of nonstationary Stokes equations. Zbl 0836.76062
Ol’shanskii, M. A.
1
1995
An unfitted finite element method for the Darcy problem in a fracture network. Zbl 1448.76152
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.
3
2020
An Eulerian finite element method for PDEs in time-dependent domains. Zbl 1422.65223
Lehrenfeld, Christoph; Olshanskii, Maxim
3
2019
Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. Zbl 07074572
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
2
2019
Analysis and assessment of a monolithic FSI finite element method. Zbl 1411.76068
Lozovskiy, Alexander; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2
2019
A penalty finite element method for a fluid system posed on embedded surface. Zbl 1446.76095
Olshanskii, Maxim A.; Yushutin, Vladimir
1
2019
Inf-sup stability of geometrically unfitted Stokes finite elements. Zbl 1391.76121
Guzmán, Johnny; Olshanskii, Maxim
12
2018
Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
9
2018
A finite element method for the surface Stokes problem. Zbl 1397.65287
Olshanskii, Maxim A.; Quaini, Annalisa; Reusken, Arnold; Yushutin, Vladimir
9
2018
A trace finite element method for vector-Laplacians on surfaces. Zbl 1402.65158
Gross, Sven; Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
9
2018
A hybrid finite volume – finite element method for bulk-surface coupled problems. Zbl 1375.76098
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
6
2018
A stabilized trace finite element method for partial differential equations on evolving surfaces. Zbl 1402.65112
Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin
5
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
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
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.
1
2018
Trace finite element methods for PDEs on surfaces. Zbl 1448.65245
Olshanskii, Maxim A.; Reusken, Arnold
17
2017
On conservation laws of Navier-Stokes Galerkin discretizations. Zbl 1415.65222
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
13
2017
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Zbl 1387.76052
Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.
13
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
Bordas, Stéphane P. A. (ed.); Burman, Erik (ed.); Larson, Mats G. (ed.); Olshanskii, Maxim A. (ed.)
9
2017
A trace finite element method for PDEs on evolving surfaces. Zbl 1371.65110
Olshanskii, Maxim A.; Xu, Xianmin
7
2017
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.
4
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
2
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
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. Zbl 1335.65094
Olshanskii, Maxim A.; Safin, Danil
11
2016
Robust preconditioning for XFEM applied to time-dependent Stokes problems. Zbl 1398.76106
Gross, Sven; Ludescher, Thomas; Olshanskii, Maxim; Reusken, Arnold
7
2016
Numerical integration over implicitly defined domains for higher order unfitted finite element methods. Zbl 1354.65252
Olshanskii, M. A.; Safin, D.
6
2016
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
26
2015
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.
9
2015
An adaptive octree finite element method for PDEs posed on surfaces. Zbl 1425.65155
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.
5
2015
Natural vorticity boundary conditions on solid walls. Zbl 1423.76100
Olshanskii, Maxim A.; Heister, Timo; Rebholz, Leo G.; Galvin, Keith J.
4
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.
4
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.
4
2015
Iterative methods for linear systems. Theory and applications. Zbl 1320.65050
Olshanskii, Maxim A.; Tyrtyshnikov, Eugene E.
29
2014
An Eulerian space-time finite element method for diffusion problems on evolving surfaces. Zbl 1320.76072
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
23
2014
A stabilized finite element method for advection-diffusion equations on surfaces. Zbl 1293.65159
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
23
2014
Error analysis of a space-time finite element method for solving PDEs on evolving surfaces. Zbl 1307.65120
Olshanskii, Maxim A.; Reusken, Arnold
21
2014
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.
9
2013
A finite element solver and energy stable coupling for 3D and 1D fluid models. Zbl 1286.76082
Dobroserdova, Tatiana K.; Olshanskii, Maxim A.
6
2013
A connection between filter stabilization and eddy viscosity models. Zbl 1277.76040
Olshanskii, Maxim A.; Xiong, Xin
4
2013
Non-degenerate Eulerian finite element method for solving PDEs on surfaces. Zbl 1276.65079
Chernyshenko, A. Y.; Olshanskii, M. A.
4
2013
An adaptive surface finite element method based on volume meshes. Zbl 1248.65122
Demlow, Alan; Olshanskii, Maxim A.
12
2012
Multigrid analysis for the time dependent Stokes problem. Zbl 1426.76293
Olshanskii, Maxim A.
9
2012
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
4
2012
On surface meshes induced by level set functions. Zbl 1388.65157
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
3
2012
A fluid solver based on vorticity-helical density equations with application to a natural convection in a cubic cavity. Zbl 1253.76080
Olshanskii, Maxim A.
2
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.
1
2012
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
38
2011
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
22
2011
Enabling numerical accuracy of Navier-Stokes-\(\alpha\) through deconvolution and enhanced stability. Zbl 1267.76021
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
21
2011
On error analysis for the 3D Navier-Stokes equations in velocity-vorticity-helicity form. Zbl 1222.35143
Lee, Hyesuk K.; Olshanskii, Maxim A.; Rebholz, Leo G.
11
2011
On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
9
2011
Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics. Zbl 1426.74302
Olshanskii, Maxim A.; Rebholz, Leo G.
6
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.
5
2011
A mixed formulation of the Bingham fluid flow problem: analysis and numerical solution. Zbl 1230.76007
Aposporidis, Alexis; Haber, Eldad; Olshanskii, Maxim A.; Veneziani, Alessandro
5
2011
A finite element method for surface PDEs: Matrix properties. Zbl 1204.65136
Olshanskii, Maxim A.; Reusken, Arnold
26
2010
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. Zbl 1334.76083
Olshanskii, Maxim A.; Rebholz, Leo G.
16
2010
Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations. Zbl 1227.76037
Olshanskii, Maxim; Rebholz, Leo G.
5
2010
Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060
Olshanskii, M. A.; Simoncini, V.
3
2010
A finite element method for elliptic equations on surfaces. Zbl 1204.58019
Olshanskii, Maxim A.; Reusken, Arnold; Grande, Jörg
61
2009
Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations. Zbl 1231.76161
Olshanskii, Maxim; Lube, Gert; Heister, Timo; Löwe, Johannes
58
2009
An iterative method for the Stokes-type problem with variable viscosity. Zbl 1410.76290
Grinevich, Piotr P.; Olshanskii, Maxim A.
18
2009
Analysis of semi-staggered finite difference method with application to Bingham flows. Zbl 1229.76067
Olshanskii, Maxim A.
4
2009
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. Zbl 1161.76030
Layton, William; Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.
51
2008
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
8
2008
Two finite-difference schemes for calculation of Bingham fluid flows in a cavity. Zbl 1151.76539
Muravleva, E. A.; Olshanskii, M. A.
6
2008
A discrete projection method for incompressible viscous flow with Coriolis force. Zbl 1194.76218
Sokolov, Andriy; Olshanskii, Maxim A.; Turek, Stefan
2
2008
Numerical study of a discrete projection method for rotating incompressible flows. Zbl 1175.35104
Sokolov, Andriy; Turek, Stefan; Olshanskii, Maxim A.
1
2008
Pressure Schur complement preconditioners for the discrete Oseen problem. Zbl 1252.65070
Olshanskii, Maxim A.; Vassilevski, Yuri V.
23
2007
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
79
2006
Analysis of a Stokes interface problem. Zbl 1092.65104
Olshanskii, Maxim A.; Reusken, Arnold
28
2006
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Zbl 1120.65059
Olshanskii, Maxim A.; Peters, Jörg; Reusken, Arnold
23
2006
Stabilized finite element schemes with LBB-stable elements for incompressible flows. Zbl 1063.76054
Gelhard, Tobias; Lube, Gert; Olshanskii, Maxim A.; Starcke, Jan-Hendrik
39
2005
Grad-div stablilization for Stokes equations. Zbl 1051.65103
Olshanskii, Maxim A.; Reusken, Arnold
83
2004
Convergence analysis of a multigrid method for a convection-dominated model problem. Zbl 1080.65105
Olshanskii, Maxim A.; Reusken, Arnold
13
2004
An analysis of the multigtrid method for the convection-diffusion equations with the Dirichlet boundary conditions. Zbl 1100.76037
Ol’shanskij, M. A.
1
2004
Stable finite element calculation of incompressible flows using the rotation form of convection. Zbl 1016.76051
Lube, Gert; Olshanskii, Maxim A.
13
2002
Navier–Stokes equations in rotation form: A robust multigrid solver for the velocity problem. Zbl 1020.65095
Olshanskii, Maxim A.; Reusken, Arnold
8
2002
On simulation of outflow boundary conditions in finite difference calculations for incompressible fluid. Zbl 0959.76062
Ol’shanskii, M. A.; Staroverov, V. M.
19
2000
Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. Zbl 0964.65129
Kobelkov, Georgij M.; Olshanskii, Maxim A.
17
2000
On the convergence of a multigrid method for linear reaction-diffusion problems. Zbl 0972.65082
Olshanskii, M. A.; Reusken, A.
10
2000
On the best constant in the inf-sup condition for enlongated rectangular domains. Zbl 0979.76070
Ol’shanskij, M. A.; Chizhonkov, E. V.
10
2000
Two-level method and some a priori estimates in unsteady Navier-Stokes calculations. Zbl 0940.76079
Olshanskii, Maxim A.
24
1999
An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations. Zbl 0998.76069
Olshanskii, Maxim A.
9
1999
On the Stokes problem with model boundary conditions. Zbl 0886.35110
Ol’shanskij, M. A.
3
1997
On numerical solution of nonstationary Stokes equations. Zbl 0836.76062
Ol’shanskii, M. A.
1
1995
all top 5

Cited by 935 Authors

50 Olshanskii, Maxim A.
46 Rebholz, Leo G.
23 Larson, Mats G.
22 Linke, Alexander
18 Hansbo, Peter
18 Reusken, Arnold
14 Sváček, Petr
12 Burman, Erik
11 He, Yinnian
11 Vassilevski, Yuri V.
10 Benzi, Michele
10 Neda, Monika
9 Layton, William J.
9 Massing, André
8 Elliott, Charles M.
8 Lehrenfeld, Christoph
8 Lube, Gert
8 Shang, Yueqiang
7 Heister, Timo
7 John, Volker
7 Repin, Sergeĭ Igorevich
7 Wilson, Nicholas E.
7 Zahedi, Sara
6 García-Archilla, Bosco
6 Groß, Sven
6 Guzmán, Johnny
6 Horáček, Jaromir
6 Huang, Pengzhan
6 Larsson, Karl
6 Merdon, Christian
6 Novo, Julia
6 Tobiska, Lutz
6 Xiao, Mengying
5 Ahmed, Naveed
5 Axelsson, Axel Owe Holger
5 Badia, Santiago
5 Kaya, Songul
5 Le Borne, Sabine
5 Manica, Carolina Cardoso
5 Mardal, Kent-Andre
5 Neilan, Michael
5 Rüde, Ulrich
5 Sun, Pengtao
5 Vuik, Cornelis
5 Wang, Zhen
5 Wohlmuth, Barbara I.
5 Zheng, Weiying
4 Akbas, Mine
4 Aulisa, Eugenio
4 Bowers, Abigail L.
4 Chen, Jinru
4 Chen, Long
4 Chernyshenko, Alexey Y.
4 Çibik, Aytekin Bayram
4 de Frutos, Javier
4 Farrell, Patrick Emmet
4 Feistauer, Miloslav
4 Fried, Eliot
4 Grande, Jörg
4 Jiang, Nan
4 Kim, Tae-Yeon
4 Li, Lingxiao
4 Liang, Zhao-Zheng
4 Lozovskiy, Alexander V.
4 Matthies, Gunar
4 Neytcheva, Maya G.
4 Rukavishnikov, Alexey V.
4 Takhirov, Aziz
4 Terekhov, Kirill M.
4 Voigt, Axel
4 Wall, Wolfgang A.
4 Wathen, Andrew John
4 Winther, Ragnar
4 Xu, Hui
4 Xu, Xianmin
4 Zhang, Guofeng
3 Bonito, Andrea
3 Cenanovic, Mirza
3 Cousins, Benjamin R.
3 Decaria, Victor
3 Demlow, Alan
3 Feng, Xinlong
3 Fries, Thomas-Peter
3 Galvin, Keith J.
3 Ghattas, Omar N.
3 Haber, Eldad
3 He, Xin
3 Howle, Victoria E.
3 Jenkins, Eleanor W.
3 Johansson, August
3 Jolivet, Pierre
3 Ke, Guoyi
3 Ma, Yichen
3 MacLachlan, Scott P.
3 Mohebujjaman, Muhammad
3 Nikitin, Kirill D.
3 Nitschke, Ingo
3 Niu, Qiang
3 Oyarzúa, Ricardo
3 Qin, Jin
...and 835 more Authors
all top 5

Cited in 104 Serials

84 Computer Methods in Applied Mechanics and Engineering
57 Journal of Computational Physics
40 Journal of Computational and Applied Mathematics
36 SIAM Journal on Scientific Computing
25 Computers & Mathematics with Applications
25 Numerische Mathematik
23 Journal of Scientific Computing
19 Computers and Fluids
18 SIAM Journal on Numerical Analysis
18 Applied Numerical Mathematics
15 Applied Mathematics and Computation
14 Mathematics of Computation
12 Numerical Methods for Partial Differential Equations
11 Numerical Linear Algebra with Applications
10 International Journal for Numerical Methods in Fluids
10 Journal of Mathematical Analysis and Applications
10 Advances in Computational Mathematics
10 Journal of Numerical Mathematics
7 SIAM Journal on Matrix Analysis and Applications
7 Journal of Mathematical Sciences (New York)
6 Russian Journal of Numerical Analysis and Mathematical Modelling
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 International Journal for Numerical Methods in Engineering
5 Applied Mathematics Letters
5 Numerical Algorithms
5 International Journal of Computer Mathematics
5 Computing and Visualization in Science
4 Journal of Fluid Mechanics
4 Computational and Applied Mathematics
4 Journal of Mathematical Fluid Mechanics
4 Archives of Computational Methods in Engineering
3 Calcolo
3 Computational Mechanics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Computational Optimization and Applications
3 Computational Methods in Applied Mathematics
3 International Journal of Numerical Analysis and Modeling
3 SMAI Journal of Computational Mathematics
2 International Journal of Heat and Mass Transfer
2 Bulletin of Mathematical Biology
2 BIT
2 Mathematics and Computers in Simulation
2 Computational Mathematics and Mathematical Physics
2 Linear Algebra and its Applications
2 SIAM Journal on Mathematical Analysis
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics
2 International Journal of Computational Methods
2 GEM - International Journal on Geomathematics
2 East Asian Journal on Applied Mathematics
2 Results in Applied Mathematics
1 Applicable Analysis
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Moscow University Mathematics Bulletin
1 Computing
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Quarterly of Applied Mathematics
1 Acta Applicandae Mathematicae
1 Mathematical and Computer Modelling
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Physics of Fluids
1 St. Petersburg Mathematical Journal
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 International Journal of Computational Fluid Dynamics
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Journal of Shanghai University
1 European Journal of Mechanics. B. Fluids
1 Interfaces and Free Boundaries
1 Flow, Turbulence and Combustion
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of Turbulence
1 Matematicheskoe Modelirovanie
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Portugaliae Mathematica. Nova Série
1 Milan Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Journal of Statistical Mechanics: Theory and Experiment
1 Complex Variables and Elliptic Equations
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
1 Advances in Numerical Analysis
1 Symmetry
1 ISRN Applied Mathematics
1 Journal of Theoretical Biology
1 ISRN Computational Mathematics
1 Communications in Mathematics and Statistics
...and 4 more Serials

Citations by Year