Schafelner, Andreas; Vassilevski, Panayot S. Numerical results for adaptive (negative norm) constrained first order system least squares formulations. (English) Zbl 1524.65591 Comput. Math. Appl. 95, 256-270 (2021). MSC: 65M60 65M50 65M15 65M12 65M55 65F08 65F10 65K10 65Y05 58A12 PDFBibTeX XMLCite \textit{A. Schafelner} and \textit{P. S. Vassilevski}, Comput. Math. Appl. 95, 256--270 (2021; Zbl 1524.65591) Full Text: DOI
Kalchev, Delyan Z.; Vassilevski, Panayot A condensed constrained nonconforming mortar-based approach for preconditioning finite element discretization problems. (English) Zbl 1452.65343 SIAM J. Sci. Comput. 42, No. 5, A3136-A3156 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N22 65N55 65F08 PDFBibTeX XMLCite \textit{D. Z. Kalchev} and \textit{P. Vassilevski}, SIAM J. Sci. Comput. 42, No. 5, A3136--A3156 (2020; Zbl 1452.65343) Full Text: DOI arXiv
Kalchev, Delyan Z.; Vassilevski, Panayot S. Auxiliary space preconditioning of finite element equations using a nonconforming interior penalty reformulation and static condensation. (English) Zbl 1448.65235 SIAM J. Sci. Comput. 42, No. 3, A1741-A1764 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N22 65N55 65F08 35J15 PDFBibTeX XMLCite \textit{D. Z. Kalchev} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 42, No. 3, A1741--A1764 (2020; Zbl 1448.65235) Full Text: DOI arXiv
Cai, Difeng; Vassilevski, Panayot S. Eigenvalue problems for exponential-type kernels. (English) Zbl 1437.65230 Comput. Methods Appl. Math. 20, No. 1, 61-78 (2020). MSC: 65R15 65R20 45C05 45P05 PDFBibTeX XMLCite \textit{D. Cai} and \textit{P. S. Vassilevski}, Comput. Methods Appl. Math. 20, No. 1, 61--78 (2020; Zbl 1437.65230) Full Text: DOI Link
Voronin, Kirill; Lee, Chak Shing; Neumüller, Martin; Sepulveda, Paulina; Vassilevski, Panayot S. Space-time discretizations using constrained first-order system least squares (CFOSLS). (English) Zbl 1416.65362 J. Comput. Phys. 373, 863-876 (2018). MSC: 65M60 65Y05 PDFBibTeX XMLCite \textit{K. Voronin} et al., J. Comput. Phys. 373, 863--876 (2018; Zbl 1416.65362) Full Text: DOI Link
la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. (English) Zbl 1432.76160 J. Comput. Appl. Math. 340, 691-708 (2018). MSC: 76M10 65N30 65N22 65N55 76S05 PDFBibTeX XMLCite \textit{M. la Cour Christensen} et al., J. Comput. Appl. Math. 340, 691--708 (2018; Zbl 1432.76160) Full Text: DOI Link
la Cour Christensen, Max; Villa, Umberto; Engsig-Karup, Allan P.; Vassilevski, Panayot S. Numerical multilevel upscaling for incompressible flow in reservoir simulation: an element-based algebraic multigrid (amge) approach. (English) Zbl 1360.65247 SIAM J. Sci. Comput. 39, No. 1, B102-B137 (2017). MSC: 65M60 65M55 76S05 PDFBibTeX XMLCite \textit{M. la Cour Christensen} et al., SIAM J. Sci. Comput. 39, No. 1, B102--B137 (2017; Zbl 1360.65247) Full Text: DOI Link
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. Arbitrary dimension convection-diffusion schemes for space-time discretizations. (English) Zbl 1348.65139 J. Comput. Appl. Math. 310, 19-31 (2017). MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{R. E. Bank} et al., J. Comput. Appl. Math. 310, 19--31 (2017; Zbl 1348.65139) Full Text: DOI arXiv
Ayuso de Dios, B.; Barker, A. T.; Vassilevski, P. S. A combined preconditioning strategy for nonsymmetric systems. (English) Zbl 1308.65043 SIAM J. Sci. Comput. 36, No. 6, A2533-A2556 (2014). Reviewer: Anton Iliev (Plovdiv) MSC: 65F08 65F10 65N30 PDFBibTeX XMLCite \textit{B. Ayuso de Dios} et al., SIAM J. Sci. Comput. 36, No. 6, A2533--A2556 (2014; Zbl 1308.65043) Full Text: DOI arXiv
Kalchev, D.; Ketelsen, C.; Vassilevski, P. S. Two-level adaptive algebraic multigrid for a sequence of problems with slowly varying random coefficients. (English) Zbl 1285.65083 SIAM J. Sci. Comput. 35, No. 6, B1215-B1234 (2013). MSC: 65N55 35J25 65N30 65F10 65C05 65C40 65C30 35R60 PDFBibTeX XMLCite \textit{D. Kalchev} et al., SIAM J. Sci. Comput. 35, No. 6, B1215--B1234 (2013; Zbl 1285.65083) Full Text: DOI Link
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T. Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. (English) Zbl 1259.65190 SIAM J. Numer. Anal. 50, No. 3, 1675-1694 (2012). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N55 65N30 35J25 35R05 65N12 PDFBibTeX XMLCite \textit{R. Scheichl} et al., SIAM J. Numer. Anal. 50, No. 3, 1675--1694 (2012; Zbl 1259.65190) Full Text: DOI Link
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou A new approach for solving Stokes systems arising from a distributive relaxation method. (English) Zbl 1221.65301 Numer. Methods Partial Differ. Equations 27, No. 4, 898-914 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N30 35J25 35Q30 65N12 PDFBibTeX XMLCite \textit{C. Bacuta} et al., Numer. Methods Partial Differ. Equations 27, No. 4, 898--914 (2011; Zbl 1221.65301) Full Text: DOI
Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S. Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. (English) Zbl 1217.65222 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 407-414 (2011). MSC: 65N55 65N30 35J25 65N12 65F10 65F08 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Lect. Notes Comput. Sci. Eng. 78, 407--414 (2011; Zbl 1217.65222) Full Text: DOI Link
Vassilevski, Panayot S. Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. (English) Zbl 1170.65001 New York, NY: Springer (ISBN 978-0-387-71563-6/hbk). xiv, 529 p. (2008). Reviewer: Jan Mandel (Denver) MSC: 65-02 65N55 65F10 65F50 15-02 35J25 35Q60 65H10 65F35 65N12 65N30 65K10 49J40 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. New York, NY: Springer (2008; Zbl 1170.65001) Full Text: DOI
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. (English) Zbl 1224.65263 Numer. Linear Algebra Appl. 13, No. 9, 753-770 (2006). Reviewer: Vít Dolejší (Praha) MSC: 65N30 65N22 65F10 65F08 35J25 PDFBibTeX XMLCite \textit{V. A. Dobrev} et al., Numer. Linear Algebra Appl. 13, No. 9, 753--770 (2006; Zbl 1224.65263) Full Text: DOI
Kim, T.; Pasciak, J. E.; Vassilevski, P. S. Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. (English) Zbl 1193.65200 Numer. Linear Algebra Appl. 13, No. 1, 23-47 (2006). Reviewer: Karel Segeth (Praha) MSC: 65N30 65H10 PDFBibTeX XMLCite \textit{T. Kim} et al., Numer. Linear Algebra Appl. 13, No. 1, 23--47 (2006; Zbl 1193.65200) Full Text: DOI Link
Vassilevski, Panayot S.; Zikatanov, Ludmil T. Multiple vector preserving interpolation mappings in algebraic multigrid. (English) Zbl 1102.65040 SIAM J. Matrix Anal. Appl. 27, No. 4, 1040-1055 (2006). MSC: 65F10 65N30 35J25 65N55 65F50 PDFBibTeX XMLCite \textit{P. S. Vassilevski} and \textit{L. T. Zikatanov}, SIAM J. Matrix Anal. Appl. 27, No. 4, 1040--1055 (2006; Zbl 1102.65040) Full Text: DOI Link
Cai, Xiao-Chuan; Marcinkowski, Leszek; Vassilevski, Panayot S. An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. (English) Zbl 1099.65031 Appl. Math., Praha 50, No. 3, 247-275 (2005). MSC: 65F10 65F35 65N55 65N30 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., Appl. Math., Praha 50, No. 3, 247--275 (2005; Zbl 1099.65031) Full Text: DOI EuDML Link
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. (English) Zbl 1095.65103 Numer. Math. 96, No. 2, 295-315 (2003). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 35J25 65F10 65Y05 65N15 65F35 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Numer. Math. 96, No. 2, 295--315 (2003; Zbl 1095.65103) Full Text: DOI
Brown, Peter N.; Vassilevski, Panayot S.; Woodward, Carol S. On mesh-independent convergence of an inexact Newton–multigrid algorithm. (English) Zbl 1049.65115 SIAM J. Sci. Comput. 25, No. 2, 570-590 (2003). Reviewer: Dietrich Braess (Bochum) MSC: 65N12 65N55 65N30 35J65 65J15 47J25 PDFBibTeX XMLCite \textit{P. N. Brown} et al., SIAM J. Sci. Comput. 25, No. 2, 570--590 (2003; Zbl 1049.65115) Full Text: DOI
Lazarov, Raytcho D.; Vassilevski, Panayot S. Numerical methods for convection-diffusion problems on general grids. (English) Zbl 1029.65129 Bojanov, B. D. (ed.), Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 258-283 (2002). MSC: 65N30 65-02 65F10 65F35 35J25 65N50 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{P. S. Vassilevski}, in: Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 258--283 (2002; Zbl 1029.65129)
Dobrev, Veselin; Vassilevski, Panayot Local refinement in non-overlapping domain decomposition. (English) Zbl 0978.65115 Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 253-264 (2001). MSC: 65N55 65N30 65N50 65F10 74S05 65F35 35J25 74B05 PDFBibTeX XMLCite \textit{V. Dobrev} and \textit{P. Vassilevski}, Lect. Notes Comput. Sci. 1988, 253--264 (2001; Zbl 0978.65115)
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Multiplier spaces for the mortar finite element method in three dimensions. (English) Zbl 1006.65129 SIAM J. Numer. Anal. 39, No. 2, 519-538 (2001). Reviewer: M.Plum (Karlsruhe) MSC: 65N30 65F10 65N12 35J05 35J25 65N50 PDFBibTeX XMLCite \textit{C. Kim} et al., SIAM J. Numer. Anal. 39, No. 2, 519--538 (2001; Zbl 1006.65129) Full Text: DOI
Petrova, S. I.; Tobiska, L.; Vassilevski, P. S. Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems. (English) Zbl 0979.65112 East-West J. Numer. Math. 8, No. 3, 223-242 (2000). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N55 65N30 65F10 65F35 65Y20 35J25 PDFBibTeX XMLCite \textit{S. I. Petrova} et al., East-West J. Numer. Math. 8, No. 3, 223--242 (2000; Zbl 0979.65112)
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Mixed finite element methods for elliptic problems on non-matching grids. (English) Zbl 0965.65128 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems II. Proceedings of the 2nd workshop, Sozopol, Bulgaria, June 2-6, 1999. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 73, 25-35 (2000). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Notes Numer. Fluid Mech. 73, 25--35 (2000; Zbl 0965.65128)
Chou, So-Hsiang; Vassilevski, Panayot S. A general mixed covolume framework for constructing conservative schemes for elliptic problems. (English) Zbl 0924.65099 Math. Comput. 68, No. 227, 991-1011 (1999). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N30 65F10 35J25 65M25 PDFBibTeX XMLCite \textit{S.-H. Chou} and \textit{P. S. Vassilevski}, Math. Comput. 68, No. 227, 991--1011 (1999; Zbl 0924.65099) Full Text: DOI
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar Domain embedding preconditioners for mixed systems. (English) Zbl 0969.65105 Numer. Linear Algebra Appl. 5, No. 5, 321-345 (1998). Reviewer: J.Maryška (Liberec) MSC: 65N30 65F35 35J25 65F10 PDFBibTeX XMLCite \textit{T. Rusten} et al., Numer. Linear Algebra Appl. 5, No. 5, 321--345 (1998; Zbl 0969.65105) Full Text: DOI
Margenov, Svetozar D.; Vassilevski, Panayot S. Algebraic two-level preconditioning of non-conforming FEM systems. (English) Zbl 0912.65103 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems. Proceedings of the 1st workshop, Varna, Bulgaria, June 7–11, 1997. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 62, 239-248 (1998). MSC: 65N55 65F10 65F35 65N30 35J25 PDFBibTeX XMLCite \textit{S. D. Margenov} and \textit{P. S. Vassilevski}, Notes Numer. Fluid Mech. 62, 239--248 (1998; Zbl 0912.65103)
Vassilevski, P. S. A block-factorization (algebraic) formulation of multigrid and Schwarz methods. (English) Zbl 0915.65120 East-West J. Numer. Math. 6, No. 1, 65-79 (1998). Reviewer: G.Schmidt (Berlin) MSC: 65N55 65F10 65F35 65N30 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, East-West J. Numer. Math. 6, No. 1, 65--79 (1998; Zbl 0915.65120)
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. Mixed covolume methods for elliptic problems on triangular grids. (English) Zbl 0914.65107 SIAM J. Numer. Anal. 35, No. 5, 1850-1861 (1998). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N30 65F35 65N15 65N12 35J05 65F10 PDFBibTeX XMLCite \textit{S.-H. Chou} et al., SIAM J. Numer. Anal. 35, No. 5, 1850--1861 (1998; Zbl 0914.65107) Full Text: DOI
Neytcheva, Maya G.; Vassilevski, Panayot S. Preconditioning of indefinite and almost singular finite element elliptic equations. (English) Zbl 0955.65083 SIAM J. Sci. Comput. 19, No. 5, 1471-1485 (1998). MSC: 65N30 65F10 65F35 65N55 35J25 65F15 PDFBibTeX XMLCite \textit{M. G. Neytcheva} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 19, No. 5, 1471--1485 (1998; Zbl 0955.65083) Full Text: DOI
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. (English) Zbl 0895.65049 East-West J. Numer. Math. 5, No. 4, 249-264 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 35J25 35B25 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., East-West J. Numer. Math. 5, No. 4, 249--264 (1997; Zbl 0895.65049)
Vassilevski, Panayot S. On some applications of \(H^ \sigma\)-stable wavelet-like hierarchical finite element space decompositions. (English) Zbl 0871.65095 Whiteman, J. R. (ed.), The mathematics of finite elements and applications. Highlights 1996. Proceedings of the 9th conference, MAFELAP 1996, Uxbridge, GB, June 25–28, 1996, Chichester: Wiley. 371-395 (1997). MSC: 65N30 35J25 65N12 65F10 65N55 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, in: The mathematics of finite elements and applications. Highlights 1996. Proceedings of the 9th conference, MAFELAP 1996, Uxbridge, GB, June 25--28, 1996,. Chichester: Wiley. 371--395 (1997; Zbl 0871.65095)
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar Interior penalty preconditioners for mixed finite element approximations of elliptic problems. (English) Zbl 0857.65117 Math. Comput. 65, No. 214, 447-466 (1996). Reviewer: S.L.Svensson (Lund) MSC: 65N30 65F35 35J25 65F10 65N55 PDFBibTeX XMLCite \textit{T. Rusten} et al., Math. Comput. 65, No. 214, 447--466 (1996; Zbl 0857.65117) Full Text: DOI
Proskurowski, Włodzimierz; Vassilevski, Panayot S. Preconditioning nonsymmetric and indefinite capacitance matrix problems in domain imbedding. (English) Zbl 0820.65070 SIAM J. Sci. Comput. 16, No. 2, 414-430 (1995). Reviewer: K.Georgiev (Sofia) MSC: 65N30 65F10 65F35 65N55 35J25 PDFBibTeX XMLCite \textit{W. Proskurowski} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 16, No. 2, 414--430 (1995; Zbl 0820.65070) Full Text: DOI
Margenov, Svetozar D.; Vassilevski, Panayot S. Algebraic multilevel preconditioning of anisotropic elliptic problems. (English) Zbl 0813.65066 SIAM J. Sci. Comput. 15, No. 5, 1026-1037 (1994). Reviewer: R.Blaheta (Ostrava) MSC: 65F10 65N30 65F35 65N55 35J25 PDFBibTeX XMLCite \textit{S. D. Margenov} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 15, No. 5, 1026--1037 (1994; Zbl 0813.65066) Full Text: DOI
Proskurowski, Wlodek; Vassilevski, Panayot S. Preconditioning capacitance matrix problems in domain imbedding. (English) Zbl 0806.65118 SIAM J. Sci. Comput. 15, No. 1, 77-88 (1994). Reviewer: V.Korneev (St.Peterburg) MSC: 65N55 65F10 65N30 65F35 35J25 PDFBibTeX XMLCite \textit{W. Proskurowski} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 15, No. 1, 77--88 (1994; Zbl 0806.65118) Full Text: DOI
Ewing, Richard E.; Shen, Jian; Vassilevski, Panayot S. Vectorizable preconditioners for mixed finite element solution of second- order elliptic problems. (English) Zbl 0758.65022 Int. J. Comput. Math. 44, No. 1-4, 313-327 (1992). Reviewer: T.C.Mohan (Madras) MSC: 65F10 65N30 65F35 65Y05 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Int. J. Comput. Math. 44, No. 1--4, 313--327 (1992; Zbl 0758.65022) Full Text: DOI
Vassilevski, Panayot S.; Wang, Junping Multilevel iterative methods for mixed finite element discretizations of elliptic problems. (English) Zbl 0797.65086 Numer. Math. 63, No. 4, 513-520 (1992). Reviewer: E.Lanckau (Chemnitz) MSC: 65N30 65F10 65N50 35J45 PDFBibTeX XMLCite \textit{P. S. Vassilevski} and \textit{J. Wang}, Numer. Math. 63, No. 4, 513--520 (1992; Zbl 0797.65086) Full Text: DOI EuDML
Axelsson, O.; Vassilevski, P. S. Construction of variable-step preconditioners for inner-outer iteration methods. (English) Zbl 0785.65018 Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 1-14 (1992). MSC: 65F10 65N55 65F35 65N30 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{P. S. Vassilevski}, in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 1--14 (1992; Zbl 0785.65018)
Vassilevski, Panayot S.; Etova, Maya H. Computation of constants in the strengthened Cauchy inequality for elliptic bilinear forms with anisotropy. (English) Zbl 0763.65083 SIAM J. Sci. Stat. Comput. 13, No. 3, 655-665 (1992). Reviewer: T.Mitsui (Chikusa-ku / Nagoya) MSC: 65N12 65N30 65N55 35J25 65F10 PDFBibTeX XMLCite \textit{P. S. Vassilevski} and \textit{M. H. Etova}, SIAM J. Sci. Stat. Comput. 13, No. 3, 655--665 (1992; Zbl 0763.65083) Full Text: DOI
Ewing, Richard E.; Vassilevski, Panayot S. Two-level iterative refinement preconditioners. (English) Zbl 0774.65022 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 262-270 (1992). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F35 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{P. S. Vassilevski}, in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 262--270 (1992; Zbl 0774.65022)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Mixed finite element solutions of second order elliptic problems on grids with regular local refinement. (English) Zbl 0767.65075 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 206-212 (1991). MSC: 65N30 65N50 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 206--212 (1991; Zbl 0767.65075)
Axelsson, O.; Vassilevski, P. S. Algebraic multilevel preconditioning methods. III. (English) Zbl 0768.65075 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 163-177 (1991). MSC: 65N55 65N12 65N30 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{P. S. Vassilevski}, in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 163--177 (1991; Zbl 0768.65075)
Vassilevski, P. S. Algebraic multilevel preconditioners for nonsymmetric problems. (English) Zbl 0726.65136 C. R. Acad. Bulg. Sci. 43, No. 9, 33-36 (1990). Reviewer: U.Langer (Chemnitz) MSC: 65N55 65N30 65F10 65N06 65F35 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, C. R. Acad. Bulg. Sci. 43, No. 9, 33--36 (1990; Zbl 0726.65136)
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. (English) Zbl 0719.65024 Preconditioned conjugate gradient methods, Proc. Conf., Nijmegen/Neth. 1989, Lect. Notes Math. 1457, 28-43 (1990). Reviewer: J.Lovíšek (Bratislava) MSC: 65F10 65N30 65F35 35J25 PDFBibTeX XML
Vassilevski, P. S. Hybrid v-cycle algebraic multilevel preconditioners. (English) Zbl 0716.65104 C. R. Acad. Bulg. Sci. 43, No. 8, 23-26 (1990). Reviewer: U.Langer MSC: 65N55 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, C. R. Acad. Bulg. Sci. 43, No. 8, 23--26 (1990; Zbl 0716.65104)
Axelsson, O.; Vassilevski, P. S. Algebraic multilevel preconditioning methods. II. (English) Zbl 0715.65091 SIAM J. Numer. Anal. 27, No. 6, 1569-1590 (1990). MSC: 65N55 65F10 65N30 65F35 65N12 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{P. S. Vassilevski}, SIAM J. Numer. Anal. 27, No. 6, 1569--1590 (1990; Zbl 0715.65091) Full Text: DOI
Vassilevski, P. S. Algebraic multilevel preconditioners for elliptic problems with condensation of the finite element stiffness matrix. (English) Zbl 0708.65104 C. R. Acad. Bulg. Sci. 43, No. 6, 25-28 (1990). Reviewer: A.Varga MSC: 65N30 65F10 65N50 65F35 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski}, C. R. Acad. Bulg. Sci. 43, No. 6, 25--28 (1990; Zbl 0708.65104)
Axelsson, O.; Eijkhout, V.; Polman, B.; Vassilevski, P. Incomplete block-matrix factorization iterative methods for convection- diffusion problems. (English) Zbl 0687.65029 BIT 29, No. 4, 867-889 (1989). Reviewer: S.Filippi MSC: 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} et al., BIT 29, No. 4, 867--889 (1989; Zbl 0687.65029) Full Text: DOI
Vassilevski, Panayot Multilevel preconditioning matrices and multigrid V-cycle methods. (English) Zbl 0675.65018 Robust multi-grid methods, Proc. 4th GAMM-Semin., Kiel/FRG 1988, Notes Numer. Fluid Mech. 23, 200-208 (1989). Reviewer: W.Heinrichs MSC: 65F10 65F35 65N30 35J25 PDFBibTeX XML
Axelsson, O.; Vassilevski, P. S. Algebraic multilevel preconditioning methods. I. (English) Zbl 0661.65110 Numer. Math. 56, No. 2-3, 157-177 (1989). Reviewer: O. Axelsson MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{P. S. Vassilevski}, Numer. Math. 56, No. 2--3, 157--177 (1989; Zbl 0661.65110) Full Text: DOI EuDML
Vassilevski, Panayot Multigrid method in subspace and domain partitioning in the discrete solution of elliptic problems. (English) Zbl 0636.65106 Multigrid methods II, Proc. 2nd Eur. Conf., Cologne/Ger. 1985, Lect. Notes Math. 1228, 301-314 (1986). Reviewer: P.Onumanyi MSC: 65N22 65N30 35J05 35J25 65F10 PDFBibTeX XML