Gorb, Yuliya; Kurzanova, Daria; Kuznetsov, Yuri A robust preconditioner for high-contrast problems (research). (English) Zbl 1440.65040 Acu, Bahar (ed.) et al., Advances in mathematical sciences. AWM research symposium, Houston, TX, USA, April 6–7, 2019. Cham: Springer. Assoc. Women Math. Ser. 21, 289-310 (2020). MSC: 65F08 65N55 65F10 65N30 PDFBibTeX XMLCite \textit{Y. Gorb} et al., Assoc. Women Math. Ser. 21, 289--310 (2020; Zbl 1440.65040) Full Text: DOI arXiv
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri Preconditioned iterative methods for diffusion problems with high-contrast inclusions. (English) Zbl 1449.65058 Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019). Reviewer: Miroslav Rozloznik MSC: 65F10 65F08 65N22 PDFBibTeX XMLCite \textit{Y. Gorb} et al., Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019; Zbl 1449.65058) Full Text: DOI arXiv
Kuznetsov, Yuri A. Monotone discretizations for diffusion equations on triangular and tetrahedral meshes. (English) Zbl 1368.65041 Russ. J. Numer. Anal. Math. Model. 32, No. 4, 253-258 (2017). MSC: 65F08 PDFBibTeX XMLCite \textit{Y. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 32, No. 4, 253--258 (2017; Zbl 1368.65041) Full Text: DOI
Kuznetsov, Yuri A.; Kramarenko, Vasily K. Preconditioners with projectors for mixed hybrid finite element methods. (English) Zbl 1365.65077 Russ. J. Numer. Anal. Math. Model. 32, No. 1, 39-45 (2017). MSC: 65F08 35J25 65N30 PDFBibTeX XMLCite \textit{Y. A. Kuznetsov} and \textit{V. K. Kramarenko}, Russ. J. Numer. Anal. Math. Model. 32, No. 1, 39--45 (2017; Zbl 1365.65077) Full Text: DOI
Kuznetsov, Yuri A. Block steepest descent method based on nonoverlapping domain decomposition. I. (English) Zbl 1339.65176 Russ. J. Numer. Anal. Math. Model. 31, No. 3, 173-177 (2016). MSC: 65M60 35K05 65F10 65M50 65M55 PDFBibTeX XMLCite \textit{Y. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 31, No. 3, 173--177 (2016; Zbl 1339.65176) Full Text: DOI
Kuznetsov, Yu. A.; Prokopenko, A.; Yavich, N. Multilevel substructuring preconditioners for anisotropic diffusion problems on rectangular meshes. (English) Zbl 1262.65149 Russ. J. Numer. Anal. Math. Model. 27, No. 6, 559-576 (2012). MSC: 65N08 35J25 65F08 65N55 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., Russ. J. Numer. Anal. Math. Model. 27, No. 6, 559--576 (2012; Zbl 1262.65149) Full Text: DOI
Kuznetsov, Yu.; Prokopenko, A. A new multilevel algebraic preconditioner for the diffusion equation in heterogeneous media. (English) Zbl 1240.65095 Numer. Linear Algebra Appl. 17, No. 5, 759-769 (2010). Reviewer: Jan Chleboun (Praha) MSC: 65F08 65N55 65N08 35J25 PDFBibTeX XMLCite \textit{Yu. Kuznetsov} and \textit{A. Prokopenko}, Numer. Linear Algebra Appl. 17, No. 5, 759--769 (2010; Zbl 1240.65095) Full Text: DOI
Kuznetsov, Yu. Preconditioned iterative methods for algebraic saddle-point problems. (English) Zbl 1169.65027 J. Numer. Math. 17, No. 1, 67-75 (2009). MSC: 65F10 65F35 35J25 65N30 PDFBibTeX XMLCite \textit{Yu. Kuznetsov}, J. Numer. Math. 17, No. 1, 67--75 (2009; Zbl 1169.65027) Full Text: DOI
Glowinski, R.; Kuznetsov, Yu. Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. (English) Zbl 1173.65369 Comput. Methods Appl. Mech. Eng. 196, No. 8, 1498-1506 (2007). MSC: 65N99 PDFBibTeX XMLCite \textit{R. Glowinski} and \textit{Yu. Kuznetsov}, Comput. Methods Appl. Mech. Eng. 196, No. 8, 1498--1506 (2007; Zbl 1173.65369) Full Text: DOI
Kuznetsov, Yu. A.; Boiarkine, O. V.; Kapyrin, I. V.; Yavich, N. B. Numerical analysis of a two-level preconditioner for the diffusion equation with an anisotropic diffusion tensor. (English) Zbl 1124.65110 Russ. J. Numer. Anal. Math. Model. 22, No. 4, 377-391 (2007). MSC: 65N30 35J25 65F10 65F35 65N55 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., Russ. J. Numer. Anal. Math. Model. 22, No. 4, 377--391 (2007; Zbl 1124.65110) Full Text: DOI
Kuznetsov, Yu. A. Matrix analysis of mixed finite element methods for the diffusion equation. I. (English) Zbl 1075.65138 Russ. J. Numer. Anal. Math. Model. 20, No. 3, 263-281 (2005). MSC: 65N30 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 20, No. 3, 263--281 (2005; Zbl 1075.65138) Full Text: DOI
Kuznetsov, Yuri Mixed finite element methods for diffusion equations on nonmatching grids. (English) Zbl 1066.65128 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 311-318 (2005). MSC: 65N30 35F15 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{Y. Kuznetsov}, Lect. Notes Comput. Sci. Eng. 40, 311--318 (2005; Zbl 1066.65128)
Kuznetsov, Yu. A. Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes. (English) Zbl 1022.65125 J. Numer. Math. 11, No. 1, 61-74 (2003). MSC: 65N30 65F35 65N55 65F10 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, J. Numer. Math. 11, No. 1, 61--74 (2003; Zbl 1022.65125) Full Text: DOI
Kuznetsov, Yuri; Vassilevski, Yuri An interface preconditioner for the mortar element method. (English) Zbl 0971.65098 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 753-761 (2000). MSC: 65N30 65F10 65F35 65N55 35J05 PDFBibTeX XMLCite \textit{Y. Kuznetsov} and \textit{Y. Vassilevski}, in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 753--761 (2000; Zbl 0971.65098)
Glowinski, R.; Kuznetsov, Yu. A.; Rossi, T.; Toivanen, J. A fictitious domain method with distributed Lagrange multipliers. (English) Zbl 0968.65091 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 733-742 (2000). MSC: 65N30 65N35 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{R. Glowinski} et al., in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 733--742 (2000; Zbl 0968.65091)
Kuznetsov, Yu. A. Two-level preconditioners with projectors for unstructured grids. (English) Zbl 0959.65125 Russ. J. Numer. Anal. Math. Model. 15, No. 3-4, 247-255 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 35J25 65F10 65F35 65N55 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 15, No. 3--4, 247--255 (2000; Zbl 0959.65125) Full Text: DOI
Engelmann, B.; Hoppe, R. H. W.; Iliash, Y.; Kuznetsov, Y. A.; Vassilevski, Y.; Wohlmuth, B. Adaptive finite element methods for domain decomposition on nonmatching grids. (English) Zbl 0961.65107 Bjørstad, Petter (ed.) et al., Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9-13, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 120, 57-83 (2000). MSC: 65N55 65N30 65N15 65N50 35J25 65F10 65F35 76B15 76M10 PDFBibTeX XMLCite \textit{B. Engelmann} et al., IMA Vol. Math. Appl. 120, 57--83 (2000; Zbl 0961.65107)
Kuznetsov, Yu. A. New iterative methods for singular perturbed positive definite matrices. (English) Zbl 0945.65031 Russ. J. Numer. Anal. Math. Model. 15, No. 1, 65-71 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 15, No. 1, 65--71 (2000; Zbl 0945.65031) Full Text: DOI
Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe On a parallel implementation of the mortar element method. (English) Zbl 0946.65111 M2AN, Math. Model. Numer. Anal. 33, No. 2, 245-259 (1999). Reviewer: W.Schönauer (Karlsruhe) MSC: 65N30 65F10 65F35 35J25 65N55 65Y05 PDFBibTeX XMLCite \textit{G. S. Abdoulaev} et al., M2AN, Math. Model. Numer. Anal. 33, No. 2, 245--259 (1999; Zbl 0946.65111) Full Text: DOI EuDML Link
Heikkola, E.; Rossi, T.; Tarvainen, P.; Kuznetsov, Y. Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. (English) Zbl 0970.65047 Bock, Hans Georg (ed.) et al., ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28-October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 646-661 (1998). MSC: 65F35 65N30 65N55 65F10 35J25 65F50 PDFBibTeX XMLCite \textit{E. Heikkola} et al., in: ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28--October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 646--661 (1998; Zbl 0970.65047)
Engelmann, B.; Hoppe, R. H. W.; Wohlmuth, B.; Kuznetsov, Yu. A.; Iliash, Yu. I.; Vassilevski, Yu. V. Adaptive macro-hybrid finite element methods. (English) Zbl 0968.65092 Bock, Hans Georg (ed.) et al., ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28-October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 294-302 (1998). MSC: 65N30 35J25 65F10 65F35 65N55 65N50 65N15 65Y05 PDFBibTeX XMLCite \textit{B. Engelmann} et al., in: ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28--October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 294--302 (1998; Zbl 0968.65092)
Kuznetsov, Y. A. Overlapping domain decomposition with non-matching grids. (English) Zbl 0930.65135 Fujita, H. (ed.) et al., Recent developments in domain decomposition methods and flow problems. Dedicated to Professor Hideo Kawarada on the occasion of his 60th birthday. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 11, 62-71 (1998). MSC: 65N55 35J25 65Y20 65N30 PDFBibTeX XMLCite \textit{Y. A. Kuznetsov}, GAKUTO Int. Ser., Math. Sci. Appl. 11, 62--71 (1998; Zbl 0930.65135)
Kuznetsov, Yu. A. Overlapping domain decomposition with non-matching grids. (English) Zbl 0918.65075 East-West J. Numer. Math. 6, No. 4, 299-308 (1998). Reviewer: G.Hedstrom (Livermore) MSC: 65N55 65F10 35J05 65N30 65Y20 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, East-West J. Numer. Math. 6, No. 4, 299--308 (1998; Zbl 0918.65075)
Glowinski, Roland; Kuznetsov, Yuri On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. (English. Abridged French version) Zbl 1005.65127 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 7, 693-698 (1998). MSC: 65N30 65F35 65F10 35J05 65Y20 PDFBibTeX XMLCite \textit{R. Glowinski} and \textit{Y. Kuznetsov}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 7, 693--698 (1998; Zbl 1005.65127) Full Text: DOI
Axelsson, O.; Hakopian, Yu. R.; Kuznetsov, Yu. A. Multilevel preconditioning for perturbed finite element matrices. (English) Zbl 0872.65103 IMA J. Numer. Anal. 17, No. 1, 125-149 (1997). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65N55 65F10 65F35 65N30 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} et al., IMA J. Numer. Anal. 17, No. 1, 125--149 (1997; Zbl 0872.65103) Full Text: DOI Link
Kuznetsov, Yuri A. Overlapping domain decomposition with non-matching grids. (English) Zbl 0928.65150 RIMS Kokyuroku 989, 148-157 (1997). MSC: 65N55 65N30 35J05 PDFBibTeX XMLCite \textit{Y. A. Kuznetsov}, RIMS Kokyuroku 989, 148--157 (1997; Zbl 0928.65150)
Kuznetsov, Yuri Iterative analysis of finite element problems with Lagrange multipliers. (English) Zbl 0911.65110 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 170-178 (1997). MSC: 65N30 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{Y. Kuznetsov}, in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 170--178 (1997; Zbl 0911.65110)
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. Multilevel preconditioners for mixed methods for second order elliptic problems. (English) Zbl 0906.65115 Numer. Linear Algebra Appl. 3, No. 5, 427-453 (1996). Reviewer: J.Chleboun (Praha) MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Z. Chen} et al., Numer. Linear Algebra Appl. 3, No. 5, 427--453 (1996; Zbl 0906.65115) Full Text: DOI
Kuznetsov, Yu. A.; Maliassov, S. Yu. Substructuring preconditioners for nonconforming finite element approximations of second-order elliptic problems with anisotropy. (English) Zbl 0840.65121 Russ. J. Numer. Anal. Math. Model. 10, No. 6, 511-533 (1995). Reviewer: D.Braess (Bochum) MSC: 65N55 65N30 35J05 65F35 65F10 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{S. Yu. Maliassov}, Russ. J. Numer. Anal. Math. Model. 10, No. 6, 511--533 (1995; Zbl 0840.65121) Full Text: DOI
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O. Substructuring preconditioners for the \(Q_ 1\) mortar element method. (English) Zbl 0840.65122 Numer. Math. 71, No. 4, 419-449 (1995). Reviewer: D.Braess (Bochum) MSC: 65N55 65N30 65F10 65F35 35J05 PDFBibTeX XMLCite \textit{Y. Achdou} et al., Numer. Math. 71, No. 4, 419--449 (1995; Zbl 0840.65122) Full Text: DOI
Kuznetsov, Yu. A. Efficient iterative solvers for elliptic finite element problems on nonmatching grids. (English) Zbl 0839.65031 Russ. J. Numer. Anal. Math. Model. 10, No. 3, 187-211 (1995). Reviewer: B.D.Reddy (Rondebosch) MSC: 65F10 65N30 65N55 65F35 65Y20 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 10, No. 3, 187--211 (1995; Zbl 0839.65031) Full Text: DOI
Kuznetsov, Yu. A.; Wheeler, M. F. Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. (English) Zbl 0832.65134 East-West J. Numer. Math. 3, No. 2, 127-143 (1995). Reviewer: M.A.Ibiejugba (Ilorin) MSC: 65N55 65N50 65F35 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{M. F. Wheeler}, East-West J. Numer. Math. 3, No. 2, 127--143 (1995; Zbl 0832.65134)
Achdou, Y.; Kuznetsov, Yu. A. Substructuring preconditioners for finite element methods on nonmatching grids. (English) Zbl 0831.65115 East-West J. Numer. Math. 3, No. 1, 1-28 (1995). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Y. Achdou} and \textit{Yu. A. Kuznetsov}, East-West J. Numer. Math. 3, No. 1, 1--28 (1995; Zbl 0831.65115)
Hakopian, Yu. R.; Kuznetsov, Yu. A. Algebraic multigrid/fictitious domain preconditioner on quasihierarchical triangular grids. (English) Zbl 0820.65021 Russ. J. Numer. Anal. Math. Model. 9, No. 3, 201-222 (1994). MSC: 65F35 65N55 65F10 65N30 35J05 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{Yu. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 9, No. 3, 201--222 (1994; Zbl 0820.65021) Full Text: DOI
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. Preconditioning of nonconforming finite element approximations of second order elliptic problems. (English) Zbl 0820.65069 Dimov, I. T. (ed.) et al., Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 101-110 (1994). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., in: Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 101--110 (1994; Zbl 0820.65069)
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. Block relaxation methods for algebraic obstacle problems with \(M\)- matrices. (English) Zbl 0807.65068 East-West J. Numer. Math. 2, No. 1, 75-89 (1994). Reviewer: A.Roose (Tallinn) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., East-West J. Numer. Math. 2, No. 1, 75--89 (1994; Zbl 0807.65068)
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. Overlapping domain decomposition methods for the obstacle problem. (English) Zbl 0795.65083 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 271-277 (1994). Reviewer: W.Velte (Würzburg) MSC: 65Z05 65N30 65N55 65K10 35J85 49J40 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., Contemp. Math. 157, 271--277 (1994; Zbl 0795.65083)
Kuznetsov, Yu. A. Overlapping domain decomposition methods for parabolic problems. (English) Zbl 0811.65078 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 63-69 (1994). MSC: 65M55 65F10 65F35 65M60 35K15 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Contemp. Math. 157, 63--69 (1994; Zbl 0811.65078)
Hakopian, Yu. R.; Kuznetsov, Yu. A. Algebraic multigrid/substructuring preconditioners on quasihierarchical triangular grids. (English) Zbl 0835.65133 East-West J. Numer. Math. 1, No. 2, 87-110 (1993). MSC: 65N55 65N30 65F10 65F35 35J05 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{Yu. A. Kuznetsov}, East-West J. Numer. Math. 1, No. 2, 87--110 (1993; Zbl 0835.65133)
Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle Fictitious domains with separable preconditioners versus unstructured adapted meshes. (English) Zbl 0760.76068 IMPACT Comput. Sci. Eng. 4, No. 3, 217-249 (1992). MSC: 76M25 76M10 76B10 65N50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., IMPACT Comput. Sci. Eng. 4, No. 3, 217--249 (1992; Zbl 0760.76068) Full Text: DOI
Hakopian, Yu. R.; Kuznetsov, Yu. A. Algebraic multigrid/substructuring preconditioners on triangular grids. (English) Zbl 0816.65099 Sov. J. Numer. Anal. Math. Model. 6, No. 6, 453-483 (1991). MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{Yu. A. Kuznetsov}, Sov. J. Numer. Anal. Math. Model. 6, No. 6, 453--483 (1991; Zbl 0816.65099)
Kuznetsov, Yuri A. Multigrid domain decomposition methods. (English) Zbl 0707.65082 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 290-313 (1990). Reviewer: Raoul F. Gloden (Ispra) MSC: 65N55 65F10 35J25 65F35 PDFBibTeX XML
Kuznetsov, Yu. A. Algebraic multigrid domain decomposition methods. (English) Zbl 0825.65091 Sov. J. Numer. Anal. Math. Model. 4, No. 5, 351-379 (1989). MSC: 65N55 65N30 65N06 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Sov. J. Numer. Anal. Math. Model. 4, No. 5, 351--379 (1989; Zbl 0825.65091)
Kuznetsov, Yu. A. 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. (Russian) Zbl 0805.65116 Kuznetsov, Yu. A. (ed.), Numerical analysis and mathematical modeling. Collection of scientific works. Moskva: Otdel Vychislitel’noj Matematiki AN SSSR, 109-126 (1989). MSC: 65N55 65N30 65N12 65F10 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, in: Chislennyj analiz i matematicheskoe modelirovanie. Sbornik nauchnykh trudov. Moskva: Otdel Vychislitel'noj Matematiki AN SSSR. 109--126 (1989; Zbl 0805.65116)
Kuznetsov, Yu. A. Multigrid domain decomposition methods for elliptic problems. (English) Zbl 0692.65056 Comput. Methods Appl. Mech. Eng. 75, No. 1-3, 185-193 (1989). Reviewer: W.Heinrichs MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Comput. Methods Appl. Mech. Eng. 75, No. 1--3, 185--193 (1989; Zbl 0692.65056) Full Text: DOI
Kuznetsov, Yu. A.; Trufanov, O. D. Two-stage fictitious components method for solving the wave Helmholtz equation. (English) Zbl 0825.65089 Sov. J. Numer. Anal. Math. Model. 3, No. 5, 373-391 (1988). MSC: 65N55 65N06 65N12 65F10 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{O. D. Trufanov}, Sov. J. Numer. Anal. Math. Model. 3, No. 5, 373--391 (1988; Zbl 0825.65089)
Finogenov, S. A.; Kuznetsov, Yu. A. Two-stage fictitious components method for solving the Dirichlet boundary value problem. (English) Zbl 0825.65080 Sov. J. Numer. Anal. Math. Model. 3, No. 4, 301-323 (1988). MSC: 65N30 65F10 65Y20 35J25 PDFBibTeX XMLCite \textit{S. A. Finogenov} and \textit{Yu. A. Kuznetsov}, Sov. J. Numer. Anal. Math. Model. 3, No. 4, 301--323 (1988; Zbl 0825.65080)
Agapov, V. K.; Kuznetsov, Yu. A. On some versions of the domain decomposition method. (English) Zbl 0825.65088 Sov. J. Numer. Anal. Math. Model. 3, No. 4, 245-265 (1988). MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{V. K. Agapov} and \textit{Yu. A. Kuznetsov}, Sov. J. Numer. Anal. Math. Model. 3, No. 4, 245--265 (1988; Zbl 0825.65088)
Marchuk, G. I.; Kuznetsov, Yu. A. Approximate algorithms for implicit difference schemes. (English) Zbl 0683.65092 Analyse mathématique et applications, Contrib. Honneur Jaques-Louis Lions, 357-371 (1988). Reviewer: V.Korneev MSC: 65N22 65F10 65N12 35K20 PDFBibTeX XML
Kuznetsov, Yu. A.; Trufanov, O. D. Domain decomposition methods for the wave Helmholtz equation. (English) Zbl 0825.65092 Sov. J. Numer. Anal. Math. Model. 2, No. 2, 113-136 (1987). MSC: 65N55 65N06 65N12 65F10 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{O. D. Trufanov}, Sov. J. Numer. Anal. Math. Model. 2, No. 2, 113--136 (1987; Zbl 0825.65092)
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M. Fictitious domain and domain decomposition methods. (English) Zbl 0825.65027 Sov. J. Numer. Anal. Math. Model. 1, No. 1, 3-35 (1986). MSC: 65F10 65N55 PDFBibTeX XMLCite \textit{G. I. Marchuk} et al., Sov. J. Numer. Anal. Math. Model. 1, No. 1, 3--35 (1986; Zbl 0825.65027)
Kuznetsov, Yurij A. Iterative methods in subspaces for eigenvalue problems. (English) Zbl 0603.65020 Vistas in applied mathematics. Numerical analysis, atmospheric sciences, immunology, dedic. G. I. Marchuk occas. 60th birthday, 96-113 (1986). Reviewer: P.Burda MSC: 65F15 65N25 35P15 PDFBibTeX XML
Kuznetsov, Yu. A.; Matsokin, A. M.; Shajdurov, V. V. Fast iterative methods for the solution of systems of difference equations. (Russian) Zbl 0621.65113 Current problems of numerical mathematics and mathematical simulation, Work Collect., Novosibirsk 1985, 207-228 (1985). Reviewer: Ju.V.Kostarčuk MSC: 65N22 65F10 65N12 65N50 35Q99 PDFBibTeX XML
Kuznetsov, Yu. A. Numerical methods in subspaces. (Russian) Zbl 0599.65069 Vychisl. Protsessy Sist. 2, 265-350 (1985). Reviewer: K.Najzar MSC: 65N22 65F05 65N12 65F10 35Q99 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Vychisl. Prots. Sist. 2, 265--350 (1985; Zbl 0599.65069)
Kuznetsov, Yu. A. Iterative methods in subspaces. (Iteratsionnye metody v podprostranstvakh). (Russian) Zbl 0658.65037 Moskva: Otdel Vychislitel’noj Matematiki AN SSSR. 134 p. R. 1.00 (GOE: (85 A 4102) (1984). MSC: 65F10 65F50 65-02 65N22 35J25 PDFBibTeX XML
Kuznetsov, Yu. A. Matrix iterative methods in subspaces. (English) Zbl 0569.65025 Proc. Int. Congr. Math., Warszawa 1983, Vol. 2, 1509-1521 (1984). Reviewer: W.Niethammer MSC: 65F10 65N22 PDFBibTeX XML
Kuznetsov, Yu. A. Matrix computational processes in subspaces. (English) Zbl 0564.65014 Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 15-31 (1984). Reviewer: F.Szidarovsky MSC: 65F10 PDFBibTeX XML
Kuznetsov, Yu. A.; Trufanov, O. D. A fast numerical method for the wave Helmholtz’s equation. (English) Zbl 0556.65084 Numerical solutions of non linear problems, France-Italy-URSS 6th Joint Symp., INRIA, Rocquencourt/France 1983, 269-282 (1984). MSC: 65N22 65F10 35J05 PDFBibTeX XML
Kuznetsov, Yu. A.; Lebedev, V. I. Chebyshev iterative methods for solving incompatible systems. (English. Russian original) Zbl 0535.65024 Sov. Math. 27, No. 7, 72-83 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 7(254), 59-68 (1983). MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{V. I. Lebedev}, Sov. Math. 27, No. 7, 72--83 (1983; Zbl 0535.65024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 7(254), 59--68 (1983)
Kuznetsov, Yu. A. Block-relaxation methods in subspaces, their optimization and application. (Russian) Zbl 0552.65026 Numerical methods in applied mathematics, Collect., Novosibirsk 1982, 119-143 (1982). MSC: 65F10 PDFBibTeX XML
Kuznetsov, Yu. A. The block-relaxation method for solution of the Dirichlet problem. (English) Zbl 0478.65059 Differential equations and numerical mathematics, Sel. Pap. Nat. Conf., Novosibirsk 1978, 133-138 (1982). MSC: 65N22 65F10 35J25 PDFBibTeX XML
Kuznetsov, Yu. A. Block-relaxational method in a subspace for solving two- and three- dimensional diffusion equations in multizonal domains. (Russian) Zbl 0538.65069 Tr. Semin. Metody Vychisl. Prikl. Mat. 5, 24-59 (1979). MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Tr. Semin. Metody Vychisl. Prikl. Mat. 5, 24--59 (1979; Zbl 0538.65069)
Il’in, V. P.; Kuznetsov, Yu. A. Iterative methods in numerical solution of differential equations. (English) Zbl 0396.65062 Computing methods in applied sciences and engineering, I, 3rd int. Symp., Paris 1977, Lect. Notes Math. 704, 23-36 (1979). MSC: 65N22 65F10 65-02 PDFBibTeX XML
Kuznetsov, Yu. A.; Matsokin, A. M. On partial solution of systems of linear algebraic equations. (English. Russian original) Zbl 0825.65015 Sov. J. Numer. Anal. Math. Model. 4, No. 6, 453-467 (1989); translation from Tr. Semin. Metody Vychisl. Prikl. Mat 3, 62-89 (1978). MSC: 65F05 65F10 65N06 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{A. M. Matsokin}, Sov. J. Numer. Anal. Math. Model. 4, No. 6, 453--467 (1978; Zbl 0825.65015); translation from Tr. Semin. Metody Vychisl. Prikl. Mat 3, 62--89 (1978)
Kuznetsov, Yu. A. Block relaxation methods in subspaces, their optimization and application. (English. Russian original) Zbl 0825.65026 Sov. J. Numer. Anal. Math. Model. 4, No. 6, 433-451 (1989); translation from Variational-difference methods in mathematical physics, Mater. All- Union Conf., Novosibirsk 1977, 178-212 (1978). MSC: 65F10 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, Sov. J. Numer. Anal. Math. Model. 4, No. 6, 1 (1978; Zbl 0825.65026); translation from Variational-difference methods in mathematical physics, Mater. All- Union Conf., Novosibirsk 1977, 178--212 (1978)
Kuznetsov, Yu. A. Block-relaxation methods in a subspace, their optimization and applications. (Russian) Zbl 0443.65017 Variational-difference methods in mathematical physics, Mater. All-Union Conf., Novosibirsk 1977, 178-212 (1978). MSC: 65F10 PDFBibTeX XML
Kuznetsov, Yu. A.; Matsokin, A. M. On the partial solution of systems of linear algebraic equations. (Russian) Zbl 0435.65022 Tr. Semin. ”Metody Vychisl. Prikl. Mat.” 3, 62-89 (1978). MSC: 65F05 65F10 65N22 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{A. M. Matsokin}, Tr. Semin. Metody Vychisl. Prikl. Mat. 3, 62--89 (1978; Zbl 0435.65022)
Kuznetsov, Yu. A. On the convergence of the splitting method for systems with positive semi-definite matrices. (Russian) Zbl 0425.65017 Methods of numerical and applied mathematics, Works Semin., Novosibirsk 1977, 112-119 (1977). MSC: 65F10 PDFBibTeX XML
Kuznetsov, Yu. A. Iterationsmethoden zur Lösung unverträglicher Systeme von linearen Gleichungen. (Russian) Zbl 0315.65028 Nekot. Probl. vycislit. Prikl. Mat., 199-207 (1975). MSC: 65F20 65F10 PDFBibTeX XML
Marchuk, G. I.; Kuznetsov, Yu. A. Iterative methods for the solution of systems of linear equations with singular matrices. (Russian) Zbl 0313.65026 Acta Univ. Carol., Math. Phys. 15(1974), No. 1-2, 87-95 (1975). MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{G. I. Marchuk} and \textit{Yu. A. Kuznetsov}, Acta Univ. Carol., Math. Phys. 15, No. 1--2, 87--95 (1975; Zbl 0313.65026)
Lions, J. L. (ed.); Marchouk, G. I. (ed.) [Kuznetsov, Yu. A.; Bensoussan, A.; Temam, R.; Lemonnier, P.] Sur les méthodes numériques en sciences physiques et economiques. (French) Zbl 0332.65040 Methodes Mathematiques de l’Informatique. 4. Paris: Dunod. XII, 298 p. F 190.00 (1974). MSC: 65J05 65F10 65-02 65M99 65N99 65K05 91Bxx 49Mxx PDFBibTeX XML
Marchuk, G. I. (ed.) [Fadeev, D. K.; Fadeeva, V. N.; Lebedev, V. I.; Ivanov, V. V.; Marozov, V. A.; Finogenov, S. A.; Bersenev, S. M.; Matsokin, A. M.; Shajdurov, V. V.; Deinezhenko, A. L.; Kublanovskaya, V. N.; Sablin, N. I.; Lebedev, V. S.; Apokorinaya, V. S.; Kuznetsov, Yu. A.; Macokin, A.; Ivana, V. V.] Numerical methods of linear algebra. Work compendium. (Vycislitel’nye metody lineinoi algebra. Sbornik trudov.). (Russian) Zbl 0399.65015 Novosibirsk: Academy of Sciences of the USSR, Siberian Dept., Computing Centre. 95 p. R. 0.42 (1973). MSC: 65Fxx 65-02 00Bxx PDFBibTeX XML