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Kuznetsov, Yurii Alekseevich

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Author ID: kuznetsov.yurii-alekseevich Recent zbMATH articles by "Kuznetsov, Yurii Alekseevich"
Published as: Kuznetsov, Yu. A.; Kuznetsov, Yuri A.; Kuznetsov, Yuri; Kuznetsov, Yu.; Kuznetsov, Y.; Kuznetsov, Y. A.; Kuznetsov, Yurij A.
Homepage: https://www.math.uh.edu/~kuz/index.html
External Links: MGP · Wikidata · Math-Net.Ru
all top 5

Co-Authors

64 single-authored
10 Neittaanmäki, Pekka J.
10 Pironneau, Olivier
8 Glowinski, Roland
8 Périaux, Jacques F.
6 Achdou, Yves
6 Marchuk, Guriĭ Ivanovich
6 Matsokin, A. M.
6 Vassilevski, Yuri V.
5 Hoppe, Ronald H. W.
5 Tarvainen, Pasi
4 Finogenov, S. A.
4 Hakopian, Yuriĭ R.
4 Heikkola, Erkki
4 Kikinzon, Evgeny
4 Lipnikov, Konstantin N.
4 Repin, Sergeĭ Igorevich
4 Sabaev, E. F.
3 Boiarkine, O. V.
3 Chetverushkin, Boris Nikolaevich
3 Fitzgibbon, William Edward
3 Garbey, Marc
3 Gorb, Yuliya
3 Kramarenko, Vasily K.
3 Prud’homme, Christophe
3 Rossi, Tuomo
3 Trufanov, O. D.
3 Wohlmuth, Barbara I.
2 Abdoulaev, Gassan S.
2 Agapov, V. K.
2 Bakhvalov, Nikolaĭ Sergeevich
2 Bespalov, Alexander
2 Désidéri, Jean-Antoine
2 Dymnikov, Valentin Pavlovich
2 Engelmann, Bernd
2 Ewing, Richard Edward
2 Hontand, Jean-Claude
2 Iliash, Yu. I.
2 Lapin, Aleksandr Vasil’evich
2 Lazarov, Raytcho D.
2 Lebedev, Vyacheslav Ivanovich
2 Maliassov, Serguei
2 Osorgin, G. K.
2 Pan, Tsorng-Whay
2 Shaĭdurov, Vladimir Victorovich
2 Shashkov, Mikhail J.
2 Shutyaev, Victor Petrovich
2 Toivanen, Jari
2 Widlund, Olof B.
2 Yavich, N. B.
1 Abakumov, A. A.
1 Abdoulaev, Gassav S.
1 Abdulaev, G. S.
1 Agoshkov, Valeriĭ Ivanovich
1 Apokorinaya, V. S.
1 Axelsson, Axel Owe Holger
1 Bensoussan, Alain
1 Bersenëv, S. M.
1 Bespalov, A. N.
1 Bock, Hans Georg
1 Boyarkin, Oleg M.
1 Brezzi, Franco
1 Chen, Zhangxin
1 Dacorogna, Bernard
1 Dashevski, D.
1 Debit, Naïma
1 Deinezhenko, A. L.
1 Faddeev, Dmitriĭ Konstantinovich
1 Fadeeva, V. N.
1 Hebeker, Friedrich-Karl
1 Hooyman, Joost
1 Il’in, Valeriĭ Pavlovich
1 Ivana, V. V.
1 Kanschat, Guido
1 Kapyrin, Ivan Viktorovich
1 Keyes, David Elliot
1 Korneev, Vadim Glebovich
1 Kublanovskaya, Vera Nikolaevna
1 Kurzanova, Daria
1 Langer, Ulrich
1 Lebedev, Vladimir Sergeevich
1 Lemonnier, P.
1 Lions, Jacques-Louis
1 Lipnikov, Konstatin
1 Liu, Zhuo
1 Lyons, Stephen L.
1 Macokin, A.
1 Maliassov, S. Yu.
1 Marchouk, G. I.
1 Marozov, V. A.
1 Matsokin, Aleksandr
1 Mestiashvili, K. V.
1 Meurant, Gérard A.
1 Morozov, Stanislav Fedorovich
1 Muzafarov, Kh. A.
1 Olshanskii, Maxim A.
1 Quarteroni, Alfio M.
1 Rannacher, Rolf
1 Sablin, N. I.
1 Sarkisyan, Artem Sarkisovich
1 Shajdurov, V. V.
...and 10 more Co-Authors
all top 5

Serials

24 Russian Journal of Numerical Analysis and Mathematical Modelling
14 Soviet Journal of Numerical Analysis and Mathematical Modelling
9 East-West Journal of Numerical Mathematics
7 Journal of Numerical Mathematics
4 Soviet Mathematics. Doklady
3 Numerical Linear Algebra with Applications
3 Computational Methods in Applied Sciences
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Computational Physics
2 Differential Equations
2 Siberian Mathematical Journal
2 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Computational Geosciences
2 Trudy Seminara Metody Vychislitel’noĭ i Prikladnoĭ Matematiki
2 CMAS. Computational Methods in Applied Sciences
1 Acta Universitatis Carolinae. Mathematica et Physica
1 IMA Journal of Numerical Analysis
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Differentsial’nye Uravneniya
1 Journal of Computational and Applied Mathematics
1 Numerische Mathematik
1 Soviet Mathematics
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 IMPACT of Computing in Science and Engineering
1 SIAM Journal on Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 SIAM Journal on Scientific Computing
1 Vychislitel’nye Protsessy i Sistemy
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 RIMS Kokyuroku
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Lobachevskii Journal of Mathematics
1 Computational Methods in Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Computational Acoustics
1 Contemporary Mathematics

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 686 times in 542 Documents Cited by Year
Matrices and computations. (Matritsy i vychisleniya). Zbl 0537.65024
Voevodin, V. V.; Kuznetsov, Yu. A.
109
1984
Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369
Glowinski, R.; Kuznetsov, Yu.
52
2007
New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113
Kuznetsov, Yu.; Repin, S.
37
2003
New algorithms for approximate realization of implicit difference schemes. Zbl 0825.65066
Kuznetsov, Yu. A.
34
1988
Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Zbl 0839.65031
Kuznetsov, Yu. A.
32
1995
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
32
2005
Fictitious domain and domain decomposition methods. Zbl 0825.65027
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M.
24
1986
On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127
Glowinski, Roland; Kuznetsov, Yuri
22
1998
Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119
Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari
15
1998
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
15
2005
Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
13
1995
Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
13
1994
A parallel Schwarz method for a convection-diffusion problem. Zbl 0971.35007
Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V.
12
2000
Overlapping domain decomposition methods for FE-problems with elliptic singular perturbed operators. Zbl 0766.65089
Kuznetsov, Yu. A.
10
1991
Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Zbl 0758.00010
10
1991
Two-stage fictitious components method for solving the Dirichlet boundary value problem. Zbl 0825.65080
Finogenov, S. A.; Kuznetsov, Yu. A.
9
1988
Algebraic multigrid domain decomposition methods. Zbl 0825.65091
Kuznetsov, Yu. A.
9
1989
Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. Zbl 0832.65134
Kuznetsov, Yu. A.; Wheeler, M. F.
8
1995
Overlapping domain decomposition methods for parabolic problems. Zbl 0811.65078
Kuznetsov, Yu. A.
8
1994
Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140
Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N.
8
1999
Numerical methods in subspaces. Zbl 0599.65069
Kuznetsov, Yu. A.
8
1985
Domain decomposition methods for unsteady convection-diffusion problems. Zbl 0744.65063
Kuznetsov, Yu. A.
7
1990
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
7
1994
Block relaxation methods for algebraic obstacle problems with \(M\)- matrices. Zbl 0807.65068
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
7
1994
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. Zbl 1380.65234
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail
7
2017
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A.
6
1996
Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098
Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B.
6
1998
A penalty/Newton/conjugate gradient method for the solution of obstacle problems. Zbl 1028.65073
Glowinski, Roland; Kuznetsov, Yuri A.; Pan, Tsorng-Whay
6
2003
Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
6
1994
Multigrid domain decomposition methods for elliptic problems. Zbl 0692.65056
Kuznetsov, Yu. A.
6
1989
Preconditioned iterative methods for algebraic saddle-point problems. Zbl 1169.65027
Kuznetsov, Yu.
5
2009
Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068
Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle
5
1992
Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100
Kuznetsov, Yu. A.
5
2011
Iterative methods for solution of non-compatible systems of linear equations. Zbl 0351.65024
Kuznetsov, Y. A.
5
1976
Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114
Kuznetsov, Yuri; Repin, Sergey
5
2004
3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185
Kuznetsov, Yu. A.; Lipnikov, K. N.
4
1998
Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods. Zbl 0919.65058
Hebeker, F. K.; Kuznetsov, Yu. A.
4
1998
On a parallel implementation of the mortar element method. Zbl 0946.65111
Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe
4
1999
New iterative methods for singular perturbed positive definite matrices. Zbl 0945.65031
Kuznetsov, Yu. A.
4
2000
Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S.
4
1994
Fast direct method for solving algebraic systems with separable symmetric band matrices. Zbl 0859.65020
Kuznetsov, Yu. A.; Rossi, T.
4
1996
On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610
Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay
4
2004
Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393
Kuznetsov, Yuri; Lipnikov, Konstantin; Lyons, Stephen; Maliassov, Serguei
4
2003
Mixed finite element methods on polyhedral meshes for diffusion equations. Zbl 1149.65324
Kuznetsov, Yuri A.
4
2008
Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. Zbl 1122.65112
Kuznetsov, Yu. A.
4
2006
A new multilevel algebraic preconditioner for the diffusion equation in heterogeneous media. Zbl 1240.65095
Kuznetsov, Yu.; Prokopenko, A.
3
2010
Nonmatching grids for fluids. Zbl 0919.76045
Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe
3
1998
Iterative analysis of finite element problems with Lagrange multipliers. Zbl 0911.65110
Kuznetsov, Yuri
3
1997
Overlapping domain decomposition with non-matching grids. Zbl 0930.65135
Kuznetsov, Y. A.
3
1998
Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. Zbl 0970.65047
Heikkola, E.; Rossi, T.; Tarvainen, P.; Kuznetsov, Y.
3
1998
Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115
Achdou, Y.; Kuznetsov, Yu. A.
3
1995
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
3
2013
Two-level preconditioners with projectors for unstructured grids. Zbl 0959.65125
Kuznetsov, Yu. A.
3
2000
Multi-level domain decomposition methods. Zbl 0694.65049
Kuznetsov, Yu. A.
3
1990
Domain decomposition methods for the time dependent problems. Zbl 0705.65072
Kuznetsov, Yu. A.
3
1989
New homogenization method for diffusion equations. Zbl 1391.76713
Kuznetsov, Yuri A.
3
2018
Approximations with piecewise constant fluxes for diffusion equations on polyhedral meshes: algorithms and applications. Zbl 1262.65164
Boyarkin, O.; Kikinzon, E.; Kuznetsov, Yu. A.; Prokopenko, A.
2
2012
On the partial solution of systems of linear algebraic equations. Zbl 0435.65022
Kuznetsov, Yu. A.; Matsokin, A. M.
2
1978
Necessary conditions for optimality in problems of control by systems described by elliptic equations. Zbl 0437.49024
Kuznetsov, Yu. A.
2
1980
Domain decomposition method to realize an implicit difference scheme for the one-phase Stefan problem. Zbl 0825.65095
Kuznetsov, Yu. A.; Lapin, A. V.
2
1988
On partial solution of systems of linear algebraic equations. Zbl 0825.65015
Kuznetsov, Yu. A.; Matsokin, A. M.
2
1978
Sur les méthodes numériques en sciences physiques et economiques. Zbl 0332.65040
2
1974
Multilevel preconditioning for perturbed finite element matrices. Zbl 0872.65103
Axelsson, O.; Hakopian, Yu. R.; Kuznetsov, Yu. A.
2
1997
Multilevel domain decomposition methods. Papers from the Seventh French-Italian-Soviet Symposium on Numerical Methods for Solving Large Systems of Functional Equations held in Moscow, June 1987. Zbl 0805.65116
Kuznetsov, Yu. A.
2
1989
Algebraic multigrid/substructuring preconditioners on triangular grids. Zbl 0816.65099
Hakopian, Yu. R.; Kuznetsov, Yu. A.
2
1991
Monotonicity in \(\mathrm{RT}_0\) and PWCF methods on triangular and tetrahedral meshes. Zbl 1416.65455
Kikinzon, E.; Kuznetsov, Y.; Liu, Zhuo
2
2016
Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri
2
2019
Chebyshev iterative methods for solving incompatible systems. Zbl 0535.65024
Kuznetsov, Yu. A.; Lebedev, V. I.
2
1983
On optimal iteration processes. Zbl 0179.21406
Marchuk, G. I.; Kuznetsov, Yu. A.
2
1968
Overlapping domain decomposition methods for the simplified Dirichlet- Signorini problem. Zbl 0765.65065
Kuznetsov, Yu. A.; Neittaanmäki, P.
1
1992
Iterative methods in numerical solution of differential equations. Zbl 0396.65062
Il’in, V. P.; Kuznetsov, Yu. A.
1
1979
Über notwendige Bedingungen der Optimalität in Problemen der Regelung durch Systeme, die durch Gleichungen vom elliptischen Typ beschrieben werden. Zbl 0417.49026
Kuznetsov, Yu. A.
1
1979
Overlapping domain decomposition with non-matching grids. Zbl 0918.65075
Kuznetsov, Yu. A.
1
1998
A fictitious domain method with distributed Lagrange multipliers. Zbl 0968.65091
Glowinski, R.; Kuznetsov, Yu. A.; Rossi, T.; Toivanen, J.
1
2000
An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065
Kuznetsov, Yu.; Lipnikov, K.
1
2000
Efficient fast direct method of solving Poisson’s equation on a parallelepiped and its implementation in an array processor. Zbl 0825.65077
Abakumov, A. A.; Eremin, A. Yu.; Kuznetsov, Yu. A.
1
1988
On some versions of the domain decomposition method. Zbl 0825.65088
Agapov, V. K.; Kuznetsov, Yu. A.
1
1988
Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1975
Lower bounds for eigenvalues of elliptic operators by overlapping domain decomposition. Zbl 1183.65139
Kuznetsov, Yuri A.
1
2009
A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037
Achdou, Y.; Kuznetsov, Y.; Pironneau, O.
1
1996
Matrix analysis of mixed finite element methods for the diffusion equation. I. Zbl 1075.65138
Kuznetsov, Yu. A.
1
2005
A robust preconditioner for high-contrast problems (research). Zbl 1440.65040
Gorb, Yuliya; Kurzanova, Daria; Kuznetsov, Yuri
1
2020
Modeling fluid flow and compaction in sedimentary basins using mixed finite elements. Zbl 1395.65079
Kikinzon, Evgeny; Kuznetsov, Yuri; Maliassov, Serguei; Sumant, Prasad
1
2015
Matrix iterative methods in subspaces. Zbl 0569.65025
Kuznetsov, Yu. A.
1
1984
Error estimates for the \(RT_{0}\) and PWCF methods for the diffusion equations on triangular and tetrahedral meshes. Zbl 1309.65126
Kuznetsov, Yuri A.
1
2015
Fictitious component and domain decomposition methods for the solution of eigenvalue problems. Zbl 0677.65033
Kuznetsov, Yu. A.
1
1986
Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1986
Mixed FE method with piece-wise constant fluxes on polyhedral meshes. Zbl 1297.65158
Kuznetsov, Yuri A.
1
2014
On necessary optimality conditions in problems of control of systems describable by the eigenfunctions of an elliptic operator. Zbl 0495.49012
Kuznetsov, Yu. A.
1
1982
Matrix computational processes in subspaces. Zbl 0564.65014
Kuznetsov, Yu. A.
1
1984
Numerical analysis of a two-level preconditioner for the diffusion equation with an anisotropic diffusion tensor. Zbl 1124.65110
Kuznetsov, Yu. A.; Boiarkine, O. V.; Kapyrin, I. V.; Yavich, N. B.
1
2007
Numerical methods for scientific computing. Variational problems and applications. Zbl 1158.65006
1
2003
On the theory of iteration processes. Zbl 0191.15806
Kuznetsov, Yu. A.
1
1969
On some versions of the domain decomposition method. Zbl 0706.65117
Agapov, V. K.; Kuznetsov, Yu. A.
1
1987
Multigrid domain decomposition methods. Zbl 0707.65082
Kuznetsov, Yuri A.
1
1990
A robust preconditioner for high-contrast problems (research). Zbl 1440.65040
Gorb, Yuliya; Kurzanova, Daria; Kuznetsov, Yuri
1
2020
Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri
2
2019
New homogenization method for diffusion equations. Zbl 1391.76713
Kuznetsov, Yuri A.
3
2018
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. Zbl 1380.65234
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail
7
2017
Monotonicity in \(\mathrm{RT}_0\) and PWCF methods on triangular and tetrahedral meshes. Zbl 1416.65455
Kikinzon, E.; Kuznetsov, Y.; Liu, Zhuo
2
2016
Modeling fluid flow and compaction in sedimentary basins using mixed finite elements. Zbl 1395.65079
Kikinzon, Evgeny; Kuznetsov, Yuri; Maliassov, Serguei; Sumant, Prasad
1
2015
Error estimates for the \(RT_{0}\) and PWCF methods for the diffusion equations on triangular and tetrahedral meshes. Zbl 1309.65126
Kuznetsov, Yuri A.
1
2015
Mixed FE method with piece-wise constant fluxes on polyhedral meshes. Zbl 1297.65158
Kuznetsov, Yuri A.
1
2014
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
3
2013
Approximations with piecewise constant fluxes for diffusion equations on polyhedral meshes: algorithms and applications. Zbl 1262.65164
Boyarkin, O.; Kikinzon, E.; Kuznetsov, Yu. A.; Prokopenko, A.
2
2012
Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100
Kuznetsov, Yu. A.
5
2011
A new multilevel algebraic preconditioner for the diffusion equation in heterogeneous media. Zbl 1240.65095
Kuznetsov, Yu.; Prokopenko, A.
3
2010
Preconditioned iterative methods for algebraic saddle-point problems. Zbl 1169.65027
Kuznetsov, Yu.
5
2009
Lower bounds for eigenvalues of elliptic operators by overlapping domain decomposition. Zbl 1183.65139
Kuznetsov, Yuri A.
1
2009
Mixed finite element methods on polyhedral meshes for diffusion equations. Zbl 1149.65324
Kuznetsov, Yuri A.
4
2008
Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369
Glowinski, R.; Kuznetsov, Yu.
52
2007
Numerical analysis of a two-level preconditioner for the diffusion equation with an anisotropic diffusion tensor. Zbl 1124.65110
Kuznetsov, Yu. A.; Boiarkine, O. V.; Kapyrin, I. V.; Yavich, N. B.
1
2007
Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. Zbl 1122.65112
Kuznetsov, Yu. A.
4
2006
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
32
2005
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
15
2005
Matrix analysis of mixed finite element methods for the diffusion equation. I. Zbl 1075.65138
Kuznetsov, Yu. A.
1
2005
Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114
Kuznetsov, Yuri; Repin, Sergey
5
2004
On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610
Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay
4
2004
New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113
Kuznetsov, Yu.; Repin, S.
37
2003
A penalty/Newton/conjugate gradient method for the solution of obstacle problems. Zbl 1028.65073
Glowinski, Roland; Kuznetsov, Yuri A.; Pan, Tsorng-Whay
6
2003
Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393
Kuznetsov, Yuri; Lipnikov, Konstantin; Lyons, Stephen; Maliassov, Serguei
4
2003
Numerical methods for scientific computing. Variational problems and applications. Zbl 1158.65006
1
2003
A parallel Schwarz method for a convection-diffusion problem. Zbl 0971.35007
Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V.
12
2000
New iterative methods for singular perturbed positive definite matrices. Zbl 0945.65031
Kuznetsov, Yu. A.
4
2000
Two-level preconditioners with projectors for unstructured grids. Zbl 0959.65125
Kuznetsov, Yu. A.
3
2000
A fictitious domain method with distributed Lagrange multipliers. Zbl 0968.65091
Glowinski, R.; Kuznetsov, Yu. A.; Rossi, T.; Toivanen, J.
1
2000
An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065
Kuznetsov, Yu.; Lipnikov, K.
1
2000
Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140
Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N.
8
1999
On a parallel implementation of the mortar element method. Zbl 0946.65111
Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe
4
1999
On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127
Glowinski, Roland; Kuznetsov, Yuri
22
1998
Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119
Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari
15
1998
Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098
Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B.
6
1998
3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185
Kuznetsov, Yu. A.; Lipnikov, K. N.
4
1998
Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods. Zbl 0919.65058
Hebeker, F. K.; Kuznetsov, Yu. A.
4
1998
Nonmatching grids for fluids. Zbl 0919.76045
Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe
3
1998
Overlapping domain decomposition with non-matching grids. Zbl 0930.65135
Kuznetsov, Y. A.
3
1998
Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. Zbl 0970.65047
Heikkola, E.; Rossi, T.; Tarvainen, P.; Kuznetsov, Y.
3
1998
Overlapping domain decomposition with non-matching grids. Zbl 0918.65075
Kuznetsov, Yu. A.
1
1998
Iterative analysis of finite element problems with Lagrange multipliers. Zbl 0911.65110
Kuznetsov, Yuri
3
1997
Multilevel preconditioning for perturbed finite element matrices. Zbl 0872.65103
Axelsson, O.; Hakopian, Yu. R.; Kuznetsov, Yu. A.
2
1997
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A.
6
1996
Fast direct method for solving algebraic systems with separable symmetric band matrices. Zbl 0859.65020
Kuznetsov, Yu. A.; Rossi, T.
4
1996
A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037
Achdou, Y.; Kuznetsov, Y.; Pironneau, O.
1
1996
Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Zbl 0839.65031
Kuznetsov, Yu. A.
32
1995
Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
13
1995
Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. Zbl 0832.65134
Kuznetsov, Yu. A.; Wheeler, M. F.
8
1995
Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115
Achdou, Y.; Kuznetsov, Yu. A.
3
1995
Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
13
1994
Overlapping domain decomposition methods for parabolic problems. Zbl 0811.65078
Kuznetsov, Yu. A.
8
1994
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
7
1994
Block relaxation methods for algebraic obstacle problems with \(M\)- matrices. Zbl 0807.65068
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
7
1994
Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P.
6
1994
Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S.
4
1994
Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068
Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle
5
1992
Overlapping domain decomposition methods for the simplified Dirichlet- Signorini problem. Zbl 0765.65065
Kuznetsov, Yu. A.; Neittaanmäki, P.
1
1992
Overlapping domain decomposition methods for FE-problems with elliptic singular perturbed operators. Zbl 0766.65089
Kuznetsov, Yu. A.
10
1991
Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Zbl 0758.00010
10
1991
Algebraic multigrid/substructuring preconditioners on triangular grids. Zbl 0816.65099
Hakopian, Yu. R.; Kuznetsov, Yu. A.
2
1991
Domain decomposition methods for unsteady convection-diffusion problems. Zbl 0744.65063
Kuznetsov, Yu. A.
7
1990
Multi-level domain decomposition methods. Zbl 0694.65049
Kuznetsov, Yu. A.
3
1990
Multigrid domain decomposition methods. Zbl 0707.65082
Kuznetsov, Yuri A.
1
1990
Algebraic multigrid domain decomposition methods. Zbl 0825.65091
Kuznetsov, Yu. A.
9
1989
Multigrid domain decomposition methods for elliptic problems. Zbl 0692.65056
Kuznetsov, Yu. A.
6
1989
Domain decomposition methods for the time dependent problems. Zbl 0705.65072
Kuznetsov, Yu. A.
3
1989
Multilevel domain decomposition methods. Papers from the Seventh French-Italian-Soviet Symposium on Numerical Methods for Solving Large Systems of Functional Equations held in Moscow, June 1987. Zbl 0805.65116
Kuznetsov, Yu. A.
2
1989
New algorithms for approximate realization of implicit difference schemes. Zbl 0825.65066
Kuznetsov, Yu. A.
34
1988
Two-stage fictitious components method for solving the Dirichlet boundary value problem. Zbl 0825.65080
Finogenov, S. A.; Kuznetsov, Yu. A.
9
1988
Domain decomposition method to realize an implicit difference scheme for the one-phase Stefan problem. Zbl 0825.65095
Kuznetsov, Yu. A.; Lapin, A. V.
2
1988
Efficient fast direct method of solving Poisson’s equation on a parallelepiped and its implementation in an array processor. Zbl 0825.65077
Abakumov, A. A.; Eremin, A. Yu.; Kuznetsov, Yu. A.
1
1988
On some versions of the domain decomposition method. Zbl 0825.65088
Agapov, V. K.; Kuznetsov, Yu. A.
1
1988
On some versions of the domain decomposition method. Zbl 0706.65117
Agapov, V. K.; Kuznetsov, Yu. A.
1
1987
Fictitious domain and domain decomposition methods. Zbl 0825.65027
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M.
24
1986
Fictitious component and domain decomposition methods for the solution of eigenvalue problems. Zbl 0677.65033
Kuznetsov, Yu. A.
1
1986
Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1986
Numerical methods in subspaces. Zbl 0599.65069
Kuznetsov, Yu. A.
8
1985
Matrices and computations. (Matritsy i vychisleniya). Zbl 0537.65024
Voevodin, V. V.; Kuznetsov, Yu. A.
109
1984
Matrix iterative methods in subspaces. Zbl 0569.65025
Kuznetsov, Yu. A.
1
1984
Matrix computational processes in subspaces. Zbl 0564.65014
Kuznetsov, Yu. A.
1
1984
Chebyshev iterative methods for solving incompatible systems. Zbl 0535.65024
Kuznetsov, Yu. A.; Lebedev, V. I.
2
1983
On necessary optimality conditions in problems of control of systems describable by the eigenfunctions of an elliptic operator. Zbl 0495.49012
Kuznetsov, Yu. A.
1
1982
Necessary conditions for optimality in problems of control by systems described by elliptic equations. Zbl 0437.49024
Kuznetsov, Yu. A.
2
1980
Iterative methods in numerical solution of differential equations. Zbl 0396.65062
Il’in, V. P.; Kuznetsov, Yu. A.
1
1979
Über notwendige Bedingungen der Optimalität in Problemen der Regelung durch Systeme, die durch Gleichungen vom elliptischen Typ beschrieben werden. Zbl 0417.49026
Kuznetsov, Yu. A.
1
1979
On the partial solution of systems of linear algebraic equations. Zbl 0435.65022
Kuznetsov, Yu. A.; Matsokin, A. M.
2
1978
On partial solution of systems of linear algebraic equations. Zbl 0825.65015
Kuznetsov, Yu. A.; Matsokin, A. M.
2
1978
Iterative methods for solution of non-compatible systems of linear equations. Zbl 0351.65024
Kuznetsov, Y. A.
5
1976
Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1975
Sur les méthodes numériques en sciences physiques et economiques. Zbl 0332.65040
2
1974
On the theory of iteration processes. Zbl 0191.15806
Kuznetsov, Yu. A.
1
1969
On optimal iteration processes. Zbl 0179.21406
Marchuk, G. I.; Kuznetsov, Yu. A.
2
1968
all top 5

Cited by 804 Authors

25 Kuznetsov, Yurii Alekseevich
15 Lipnikov, Konstantin N.
13 Düster, Alexander
12 Glowinski, Roland
11 Brezzi, Franco
11 Manzini, Gianmarco
11 Rank, Ernst
10 Shashkov, Mikhail J.
10 Toivanen, Jari
8 Beirão da Veiga, Lourenço
8 Boglaev, Igor P.
8 Liang, Dong
8 Pearson, John W.
7 Marini, Luisa Donatella
7 Schillinger, Dominik
6 Chen, Zhangxin
6 Chuĭko, Sergeĭ Mikhaĭlovich
6 Droniou, Jérôme
6 Misrikhanov, M. Sh.
6 Sapagovas, Mifodijus
6 Yotov, Ivan
5 Axelsson, Axel Owe Holger
5 Boffi, Daniele
5 Caboussat, Alexandre
5 Duczek, Sascha
5 Gastaldi, Lucia
5 Heikkola, Erkki
5 Kikinzon, Evgeny
5 Lazarov, Raytcho D.
5 Repin, Sergeĭ Igorevich
5 Russo, Alessandro
5 Ryabchenko, Vladimir Nikolaevich
5 Vabishchevich, Pëtr Nikolaevich
5 Vassilevski, Panayot Spirov
5 Zeng, Jinping
5 Zhou, Zhongguo
4 Angot, Philippe
4 Arrarás, Andres
4 Castelletto, Nicola
4 Di Pietro, Daniele Antonio
4 Eremin, Yuri A.
4 Ewing, Richard Edward
4 Gabbert, Ulrich
4 Gaspar, Francisco José
4 Ito, Kazufumi
4 Joulaian, Meysam
4 Kollmannsberger, Stefan
4 Pertsev, Nikolaĭ Viktorovich
4 Portero, Laura
4 Rapetti, Francesca
4 Rodrigo, Carmen
4 Rossi, Tuomo
4 Ruess, Martin
4 Štikonienė, Olga
4 Svyatsky, Daniil
4 Tarvainen, Pasi
4 Vohralík, Martin
4 Yuan, Guangwei
4 Zhou, Shuzi
3 Belliard, Michel
3 Bertoluzza, Silvia
3 Chen, Jinru
3 Cheng, Hanz Martin C.
3 Ferronato, Massimiliano
3 Frigo, Matteo
3 Gyrya, Vitaliy T.
3 Hsu, Ming-Chen
3 Hubrich, Simeon
3 Joly, Patrick
3 Khimich, A. N.
3 Kumar, Sunil
3 Lapin, Aleksandr Vasil’evich
3 Le Tallec, Patrick
3 Maday, Yvon
3 Nataf, Frédéric
3 Pan, Tsorng-Whay
3 Parussini, Lucia
3 Pestana, Jennifer
3 Popkov, Yuriĭ Solomonovich
3 Ramière, Isabelle
3 Redkovskij, N. N.
3 Shchepakin, M. B.
3 Stoll, Martin
3 Sun, Pengtao
3 Wheeler, Mary Fanett
3 Wohlmuth, Barbara I.
3 Xu, Xuejun
2 Abramyan, M. Eh.
2 Airaksinen, Tuomas
2 Albelda, José
2 Antonyuk, A. A.
2 Aulisa, Eugenio
2 Blatov, Igor A.
2 Börgers, Christoph
2 Breil, Jérôme
2 Buffat, Marc
2 Cangiani, Andrea
2 Cao, Yanzhao
2 Chang, Lina
2 Chau, Ming
...and 704 more Authors
all top 5

Cited in 119 Serials

50 Journal of Computational Physics
38 Computer Methods in Applied Mechanics and Engineering
33 Journal of Computational and Applied Mathematics
23 Computers & Mathematics with Applications
19 Applied Numerical Mathematics
18 Applied Mathematics and Computation
18 Numerische Mathematik
16 Russian Journal of Numerical Analysis and Mathematical Modelling
15 Automation and Remote Control
14 Mathematics of Computation
12 Computers and Fluids
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Cybernetics and Systems Analysis
11 Numerical Linear Algebra with Applications
9 Journal of Scientific Computing
9 SIAM Journal on Scientific Computing
8 Computational Mechanics
8 Journal of Mathematical Sciences (New York)
8 Journal of Numerical Mathematics
7 Siberian Mathematical Journal
7 Computational Mathematics and Mathematical Physics
7 Journal of Computer and Systems Sciences International
7 Differential Equations
6 Mathematical Notes
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 International Journal for Numerical Methods in Engineering
5 Numerical Methods for Partial Differential Equations
4 Computing
4 SIAM Journal on Numerical Analysis
4 Cybernetics
4 Numerical Algorithms
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Computational Geosciences
4 Lobachevskii Journal of Mathematics
4 Archives of Computational Methods in Engineering
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal for Numerical Methods in Fluids
3 Ukrainian Mathematical Journal
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Linear Algebra and its Applications
3 Vestnik St. Petersburg University. Mathematics
3 Advances in Computational Mathematics
2 Lithuanian Mathematical Journal
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Moscow University Computational Mathematics and Cybernetics
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Computational Mathematics and Modeling
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Global Optimization
2 Russian Mathematics
2 Communications in Numerical Methods in Engineering
2 Computational and Applied Mathematics
2 Engineering Analysis with Boundary Elements
2 Matematychni Metody ta Fizyko-Mekhanichni Polya
2 Doklady Mathematics
2 Optimization Methods & Software
2 Communications in Nonlinear Science and Numerical Simulation
2 Advances in Difference Equations
2 Journal of Computational Acoustics
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 GAMM-Mitteilungen
2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Theoretical and Mathematical Physics
1 BIT
1 Calcolo
1 Functional Analysis and its Applications
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Zeitschrift für Analysis und ihre Anwendungen
1 Computer Aided Geometric Design
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Symbolic Computation
1 Communications in Applied Numerical Methods
1 COMPEL
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Applications of Mathematics
1 Discrete Mathematics and Applications
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Advances in Engineering Software
1 Computational Optimization and Applications
1 Journal of Inverse and Ill-Posed Problems
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Matematicheskie Trudy
1 Engineering Computations
1 Optimization and Engineering
1 International Journal of Nonlinear Sciences and Numerical Simulation
...and 19 more Serials
all top 5

Cited in 36 Fields

394 Numerical analysis (65-XX)
225 Partial differential equations (35-XX)
108 Fluid mechanics (76-XX)
55 Mechanics of deformable solids (74-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
24 Operations research, mathematical programming (90-XX)
20 Systems theory; control (93-XX)
19 Ordinary differential equations (34-XX)
18 Optics, electromagnetic theory (78-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
13 Biology and other natural sciences (92-XX)
9 Computer science (68-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Geophysics (86-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Approximations and expansions (41-XX)
4 Integral equations (45-XX)
4 Operator theory (47-XX)
3 Combinatorics (05-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Probability theory and stochastic processes (60-XX)
3 Statistics (62-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Potential theory (31-XX)
2 Information and communication theory, circuits (94-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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