Edit Profile (opens in new tab) Kuznetsov, Yurii Alekseevich Compute Distance To: Compute Author ID: kuznetsov.yurii-alekseevich Published as: Kuznetsov, Yu. A.; Kuznetsov, Yuri A.; Kuznetsov, Yuri; Kuznetsov, Yu.; Kuznetsov, Y.; Kuznetsov, Y. A.; Kuznetsov, Yurij A. more...less Homepage: https://www.math.uh.edu/~kuz/index.html External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 154 Publications since 1968, including 3 Books 24 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 91 Co-Authors with 112 Joint Publications 3,090 Co-Co-Authors 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 all top 5 Fields 151 Numerical analysis (65-XX) 105 Partial differential equations (35-XX) 24 General and overarching topics; collections (00-XX) 22 Fluid mechanics (76-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 0537.65024Voevodin, V. V.; Kuznetsov, Yu. A. 109 1984 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 52 2007 New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113Kuznetsov, Yu.; Repin, S. 37 2003 New algorithms for approximate realization of implicit difference schemes. Zbl 0825.65066Kuznetsov, Yu. A. 34 1988 Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Zbl 0839.65031Kuznetsov, Yu. A. 32 1995 The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046Kuznetsov, Y.; Lipnikov, K.; Shashkov, M. 32 2005 Fictitious domain and domain decomposition methods. Zbl 0825.65027Marchuk, 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 1005.65127Glowinski, Roland; Kuznetsov, Yuri 22 1998 Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari 15 1998 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114Kuznetsov, Yu.; Repin, S. 15 2005 Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O. 13 1995 Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 13 1994 A parallel Schwarz method for a convection-diffusion problem. Zbl 0971.35007Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V. 12 2000 Overlapping domain decomposition methods for FE-problems with elliptic singular perturbed operators. Zbl 0766.65089Kuznetsov, 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 0825.65080Finogenov, S. A.; Kuznetsov, Yu. A. 9 1988 Algebraic multigrid domain decomposition methods. Zbl 0825.65091Kuznetsov, Yu. A. 9 1989 Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. Zbl 0832.65134Kuznetsov, Yu. A.; Wheeler, M. F. 8 1995 Overlapping domain decomposition methods for parabolic problems. Zbl 0811.65078Kuznetsov, Yu. A. 8 1994 Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N. 8 1999 Numerical methods in subspaces. Zbl 0599.65069Kuznetsov, Yu. A. 8 1985 Domain decomposition methods for unsteady convection-diffusion problems. Zbl 0744.65063Kuznetsov, 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 0807.65068Kuznetsov, 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 1380.65234Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail 7 2017 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. 6 1996 Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B. 6 1998 A penalty/Newton/conjugate gradient method for the solution of obstacle problems. Zbl 1028.65073Glowinski, Roland; Kuznetsov, Yuri A.; Pan, Tsorng-Whay 6 2003 Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 6 1994 Multigrid domain decomposition methods for elliptic problems. Zbl 0692.65056Kuznetsov, Yu. A. 6 1989 Preconditioned iterative methods for algebraic saddle-point problems. Zbl 1169.65027Kuznetsov, Yu. 5 2009 Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle 5 1992 Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100Kuznetsov, Yu. A. 5 2011 Iterative methods for solution of non-compatible systems of linear equations. Zbl 0351.65024Kuznetsov, Y. A. 5 1976 Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114Kuznetsov, Yuri; Repin, Sergey 5 2004 3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185Kuznetsov, Yu. A.; Lipnikov, K. N. 4 1998 Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods. Zbl 0919.65058Hebeker, F. K.; Kuznetsov, Yu. A. 4 1998 On a parallel implementation of the mortar element method. Zbl 0946.65111Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe 4 1999 New iterative methods for singular perturbed positive definite matrices. Zbl 0945.65031Kuznetsov, Yu. A. 4 2000 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Fast direct method for solving algebraic systems with separable symmetric band matrices. Zbl 0859.65020Kuznetsov, 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 1060.65610Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay 4 2004 Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393Kuznetsov, Yuri; Lipnikov, Konstantin; Lyons, Stephen; Maliassov, Serguei 4 2003 Mixed finite element methods on polyhedral meshes for diffusion equations. Zbl 1149.65324Kuznetsov, Yuri A. 4 2008 Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. Zbl 1122.65112Kuznetsov, Yu. A. 4 2006 A new multilevel algebraic preconditioner for the diffusion equation in heterogeneous media. Zbl 1240.65095Kuznetsov, Yu.; Prokopenko, A. 3 2010 Nonmatching grids for fluids. Zbl 0919.76045Achdou, 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 0911.65110Kuznetsov, Yuri 3 1997 Overlapping domain decomposition with non-matching grids. Zbl 0930.65135Kuznetsov, Y. A. 3 1998 Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. Zbl 0970.65047Heikkola, E.; Rossi, T.; Tarvainen, P.; Kuznetsov, Y. 3 1998 Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115Achdou, Y.; Kuznetsov, Yu. A. 3 1995 Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144Kuznetsov, Yu. A.; Repin, S. I. 3 2013 Two-level preconditioners with projectors for unstructured grids. Zbl 0959.65125Kuznetsov, Yu. A. 3 2000 Multi-level domain decomposition methods. Zbl 0694.65049Kuznetsov, Yu. A. 3 1990 Domain decomposition methods for the time dependent problems. Zbl 0705.65072Kuznetsov, Yu. A. 3 1989 New homogenization method for diffusion equations. Zbl 1391.76713Kuznetsov, Yuri A. 3 2018 Approximations with piecewise constant fluxes for diffusion equations on polyhedral meshes: algorithms and applications. Zbl 1262.65164Boyarkin, O.; Kikinzon, E.; Kuznetsov, Yu. A.; Prokopenko, A. 2 2012 On the partial solution of systems of linear algebraic equations. Zbl 0435.65022Kuznetsov, Yu. A.; Matsokin, A. M. 2 1978 Necessary conditions for optimality in problems of control by systems described by elliptic equations. Zbl 0437.49024Kuznetsov, Yu. A. 2 1980 Domain decomposition method to realize an implicit difference scheme for the one-phase Stefan problem. Zbl 0825.65095Kuznetsov, Yu. A.; Lapin, A. V. 2 1988 On partial solution of systems of linear algebraic equations. Zbl 0825.65015Kuznetsov, 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 0872.65103Axelsson, 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 0805.65116Kuznetsov, Yu. A. 2 1989 Algebraic multigrid/substructuring preconditioners on triangular grids. Zbl 0816.65099Hakopian, Yu. R.; Kuznetsov, Yu. A. 2 1991 Monotonicity in \(\mathrm{RT}_0\) and PWCF methods on triangular and tetrahedral meshes. Zbl 1416.65455Kikinzon, E.; Kuznetsov, Y.; Liu, Zhuo 2 2016 Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri 2 2019 Chebyshev iterative methods for solving incompatible systems. Zbl 0535.65024Kuznetsov, Yu. A.; Lebedev, V. I. 2 1983 On optimal iteration processes. Zbl 0179.21406Marchuk, G. I.; Kuznetsov, Yu. A. 2 1968 Overlapping domain decomposition methods for the simplified Dirichlet- Signorini problem. Zbl 0765.65065Kuznetsov, Yu. A.; Neittaanmäki, P. 1 1992 Iterative methods in numerical solution of differential equations. Zbl 0396.65062Il’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 0417.49026Kuznetsov, Yu. A. 1 1979 Overlapping domain decomposition with non-matching grids. Zbl 0918.65075Kuznetsov, Yu. A. 1 1998 A fictitious domain method with distributed Lagrange multipliers. Zbl 0968.65091Glowinski, R.; Kuznetsov, Yu. A.; Rossi, T.; Toivanen, J. 1 2000 An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065Kuznetsov, 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 0825.65077Abakumov, A. A.; Eremin, A. Yu.; Kuznetsov, Yu. A. 1 1988 On some versions of the domain decomposition method. Zbl 0825.65088Agapov, V. K.; Kuznetsov, Yu. A. 1 1988 Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026Marchuk, G. I.; Kuznetsov, Yu. A. 1 1975 Lower bounds for eigenvalues of elliptic operators by overlapping domain decomposition. Zbl 1183.65139Kuznetsov, Yuri A. 1 2009 A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037Achdou, Y.; Kuznetsov, Y.; Pironneau, O. 1 1996 Matrix analysis of mixed finite element methods for the diffusion equation. I. Zbl 1075.65138Kuznetsov, Yu. A. 1 2005 A robust preconditioner for high-contrast problems (research). Zbl 1440.65040Gorb, Yuliya; Kurzanova, Daria; Kuznetsov, Yuri 1 2020 Modeling fluid flow and compaction in sedimentary basins using mixed finite elements. Zbl 1395.65079Kikinzon, Evgeny; Kuznetsov, Yuri; Maliassov, Serguei; Sumant, Prasad 1 2015 Matrix iterative methods in subspaces. Zbl 0569.65025Kuznetsov, Yu. A. 1 1984 Error estimates for the \(RT_{0}\) and PWCF methods for the diffusion equations on triangular and tetrahedral meshes. Zbl 1309.65126Kuznetsov, Yuri A. 1 2015 Fictitious component and domain decomposition methods for the solution of eigenvalue problems. Zbl 0677.65033Kuznetsov, Yu. A. 1 1986 Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114Marchuk, G. I.; Kuznetsov, Yu. A. 1 1986 Mixed FE method with piece-wise constant fluxes on polyhedral meshes. Zbl 1297.65158Kuznetsov, Yuri A. 1 2014 On necessary optimality conditions in problems of control of systems describable by the eigenfunctions of an elliptic operator. Zbl 0495.49012Kuznetsov, Yu. A. 1 1982 Matrix computational processes in subspaces. Zbl 0564.65014Kuznetsov, Yu. A. 1 1984 Numerical analysis of a two-level preconditioner for the diffusion equation with an anisotropic diffusion tensor. Zbl 1124.65110Kuznetsov, 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 0191.15806Kuznetsov, Yu. A. 1 1969 On some versions of the domain decomposition method. Zbl 0706.65117Agapov, V. K.; Kuznetsov, Yu. A. 1 1987 Multigrid domain decomposition methods. Zbl 0707.65082Kuznetsov, Yuri A. 1 1990 A robust preconditioner for high-contrast problems (research). Zbl 1440.65040Gorb, Yuliya; Kurzanova, Daria; Kuznetsov, Yuri 1 2020 Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri 2 2019 New homogenization method for diffusion equations. Zbl 1391.76713Kuznetsov, Yuri A. 3 2018 Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. Zbl 1380.65234Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail 7 2017 Monotonicity in \(\mathrm{RT}_0\) and PWCF methods on triangular and tetrahedral meshes. Zbl 1416.65455Kikinzon, E.; Kuznetsov, Y.; Liu, Zhuo 2 2016 Modeling fluid flow and compaction in sedimentary basins using mixed finite elements. Zbl 1395.65079Kikinzon, 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 1309.65126Kuznetsov, Yuri A. 1 2015 Mixed FE method with piece-wise constant fluxes on polyhedral meshes. Zbl 1297.65158Kuznetsov, Yuri A. 1 2014 Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144Kuznetsov, Yu. A.; Repin, S. I. 3 2013 Approximations with piecewise constant fluxes for diffusion equations on polyhedral meshes: algorithms and applications. Zbl 1262.65164Boyarkin, O.; Kikinzon, E.; Kuznetsov, Yu. A.; Prokopenko, A. 2 2012 Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100Kuznetsov, Yu. A. 5 2011 A new multilevel algebraic preconditioner for the diffusion equation in heterogeneous media. Zbl 1240.65095Kuznetsov, Yu.; Prokopenko, A. 3 2010 Preconditioned iterative methods for algebraic saddle-point problems. Zbl 1169.65027Kuznetsov, Yu. 5 2009 Lower bounds for eigenvalues of elliptic operators by overlapping domain decomposition. Zbl 1183.65139Kuznetsov, Yuri A. 1 2009 Mixed finite element methods on polyhedral meshes for diffusion equations. Zbl 1149.65324Kuznetsov, Yuri A. 4 2008 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 52 2007 Numerical analysis of a two-level preconditioner for the diffusion equation with an anisotropic diffusion tensor. Zbl 1124.65110Kuznetsov, 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 1122.65112Kuznetsov, Yu. A. 4 2006 The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046Kuznetsov, Y.; Lipnikov, K.; Shashkov, M. 32 2005 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114Kuznetsov, Yu.; Repin, S. 15 2005 Matrix analysis of mixed finite element methods for the diffusion equation. I. Zbl 1075.65138Kuznetsov, Yu. A. 1 2005 Mixed finite element method on polygonal and polyhedral meshes. Zbl 1056.65114Kuznetsov, Yuri; Repin, Sergey 5 2004 On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay 4 2004 New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113Kuznetsov, Yu.; Repin, S. 37 2003 A penalty/Newton/conjugate gradient method for the solution of obstacle problems. Zbl 1028.65073Glowinski, Roland; Kuznetsov, Yuri A.; Pan, Tsorng-Whay 6 2003 Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393Kuznetsov, 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 0971.35007Garbey, M.; Kuznetsov, Yu. A.; Vassilevski, Yu. V. 12 2000 New iterative methods for singular perturbed positive definite matrices. Zbl 0945.65031Kuznetsov, Yu. A. 4 2000 Two-level preconditioners with projectors for unstructured grids. Zbl 0959.65125Kuznetsov, Yu. A. 3 2000 A fictitious domain method with distributed Lagrange multipliers. Zbl 0968.65091Glowinski, R.; Kuznetsov, Yu. A.; Rossi, T.; Toivanen, J. 1 2000 An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065Kuznetsov, Yu.; Lipnikov, K. 1 2000 Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N. 8 1999 On a parallel implementation of the mortar element method. Zbl 0946.65111Abdoulaev, 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 1005.65127Glowinski, Roland; Kuznetsov, Yuri 22 1998 Fictitious domain methods for the numerical solution of two-dimensional scattering problems. Zbl 0909.65119Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari 15 1998 Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B. 6 1998 3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185Kuznetsov, Yu. A.; Lipnikov, K. N. 4 1998 Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods. Zbl 0919.65058Hebeker, F. K.; Kuznetsov, Yu. A. 4 1998 Nonmatching grids for fluids. Zbl 0919.76045Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe 3 1998 Overlapping domain decomposition with non-matching grids. Zbl 0930.65135Kuznetsov, Y. A. 3 1998 Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. Zbl 0970.65047Heikkola, E.; Rossi, T.; Tarvainen, P.; Kuznetsov, Y. 3 1998 Overlapping domain decomposition with non-matching grids. Zbl 0918.65075Kuznetsov, Yu. A. 1 1998 Iterative analysis of finite element problems with Lagrange multipliers. Zbl 0911.65110Kuznetsov, Yuri 3 1997 Multilevel preconditioning for perturbed finite element matrices. Zbl 0872.65103Axelsson, O.; Hakopian, Yu. R.; Kuznetsov, Yu. A. 2 1997 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115Chen, 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 0859.65020Kuznetsov, Yu. A.; Rossi, T. 4 1996 A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037Achdou, Y.; Kuznetsov, Y.; Pironneau, O. 1 1996 Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Zbl 0839.65031Kuznetsov, Yu. A. 32 1995 Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O. 13 1995 Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. Zbl 0832.65134Kuznetsov, Yu. A.; Wheeler, M. F. 8 1995 Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115Achdou, Y.; Kuznetsov, Yu. A. 3 1995 Schwarz methods for obstacle problems with convection-diffusion operators. Zbl 0817.65052Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 13 1994 Overlapping domain decomposition methods for parabolic problems. Zbl 0811.65078Kuznetsov, 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 0807.65068Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 7 1994 Overlapping domain decomposition methods for the obstacle problem. Zbl 0795.65083Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. 6 1994 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle 5 1992 Overlapping domain decomposition methods for the simplified Dirichlet- Signorini problem. Zbl 0765.65065Kuznetsov, Yu. A.; Neittaanmäki, P. 1 1992 Overlapping domain decomposition methods for FE-problems with elliptic singular perturbed operators. Zbl 0766.65089Kuznetsov, 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 0816.65099Hakopian, Yu. R.; Kuznetsov, Yu. A. 2 1991 Domain decomposition methods for unsteady convection-diffusion problems. Zbl 0744.65063Kuznetsov, Yu. A. 7 1990 Multi-level domain decomposition methods. Zbl 0694.65049Kuznetsov, Yu. A. 3 1990 Multigrid domain decomposition methods. Zbl 0707.65082Kuznetsov, Yuri A. 1 1990 Algebraic multigrid domain decomposition methods. Zbl 0825.65091Kuznetsov, Yu. A. 9 1989 Multigrid domain decomposition methods for elliptic problems. Zbl 0692.65056Kuznetsov, Yu. A. 6 1989 Domain decomposition methods for the time dependent problems. Zbl 0705.65072Kuznetsov, 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 0805.65116Kuznetsov, Yu. A. 2 1989 New algorithms for approximate realization of implicit difference schemes. Zbl 0825.65066Kuznetsov, Yu. A. 34 1988 Two-stage fictitious components method for solving the Dirichlet boundary value problem. Zbl 0825.65080Finogenov, S. A.; Kuznetsov, Yu. A. 9 1988 Domain decomposition method to realize an implicit difference scheme for the one-phase Stefan problem. Zbl 0825.65095Kuznetsov, 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 0825.65077Abakumov, A. A.; Eremin, A. Yu.; Kuznetsov, Yu. A. 1 1988 On some versions of the domain decomposition method. Zbl 0825.65088Agapov, V. K.; Kuznetsov, Yu. A. 1 1988 On some versions of the domain decomposition method. Zbl 0706.65117Agapov, V. K.; Kuznetsov, Yu. A. 1 1987 Fictitious domain and domain decomposition methods. Zbl 0825.65027Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M. 24 1986 Fictitious component and domain decomposition methods for the solution of eigenvalue problems. Zbl 0677.65033Kuznetsov, Yu. A. 1 1986 Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114Marchuk, G. I.; Kuznetsov, Yu. A. 1 1986 Numerical methods in subspaces. Zbl 0599.65069Kuznetsov, Yu. A. 8 1985 Matrices and computations. (Matritsy i vychisleniya). Zbl 0537.65024Voevodin, V. V.; Kuznetsov, Yu. A. 109 1984 Matrix iterative methods in subspaces. Zbl 0569.65025Kuznetsov, Yu. A. 1 1984 Matrix computational processes in subspaces. Zbl 0564.65014Kuznetsov, Yu. A. 1 1984 Chebyshev iterative methods for solving incompatible systems. Zbl 0535.65024Kuznetsov, 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 0495.49012Kuznetsov, Yu. A. 1 1982 Necessary conditions for optimality in problems of control by systems described by elliptic equations. Zbl 0437.49024Kuznetsov, Yu. A. 2 1980 Iterative methods in numerical solution of differential equations. Zbl 0396.65062Il’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 0417.49026Kuznetsov, Yu. A. 1 1979 On the partial solution of systems of linear algebraic equations. Zbl 0435.65022Kuznetsov, Yu. A.; Matsokin, A. M. 2 1978 On partial solution of systems of linear algebraic equations. Zbl 0825.65015Kuznetsov, Yu. A.; Matsokin, A. M. 2 1978 Iterative methods for solution of non-compatible systems of linear equations. Zbl 0351.65024Kuznetsov, Y. A. 5 1976 Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026Marchuk, 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 0191.15806Kuznetsov, Yu. A. 1 1969 On optimal iteration processes. Zbl 0179.21406Marchuk, G. I.; Kuznetsov, Yu. A. 2 1968 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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