Porta, Federica; Cornelio, Anastasia; Ruggiero, Valeria Runge-Kutta-like scaling techniques for first-order methods in convex optimization. (English) Zbl 1372.65181 Appl. Numer. Math. 116, 256-272 (2017). MSC: 65K05 90C25 65L06 PDF BibTeX XML Cite \textit{F. Porta} et al., Appl. Numer. Math. 116, 256--272 (2017; Zbl 1372.65181) Full Text: DOI
Bouchala, Jiři; Dostál, Z.; Sadowská, M. Theoretically supported scalable BETI method for variational inequalities. (English) Zbl 1154.65052 Computing 82, No. 1, 53-75 (2008). MSC: 65K10 49J40 49M27 65Y05 65F35 PDF BibTeX XML Cite \textit{J. Bouchala} et al., Computing 82, No. 1, 53--75 (2008; Zbl 1154.65052) Full Text: DOI
Giannoutakis, Konstantinos M.; Gravvanis, George A. High performance finite element approximate inverse preconditioning. (English) Zbl 1148.65021 Appl. Math. Comput. 201, No. 1-2, 293-304 (2008). MSC: 65F10 65N30 65F50 65Y05 65F35 65Y20 35J25 PDF BibTeX XML Cite \textit{K. M. Giannoutakis} and \textit{G. A. Gravvanis}, Appl. Math. Comput. 201, No. 1--2, 293--304 (2008; Zbl 1148.65021) Full Text: DOI
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 PDF BibTeX XML Cite \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
Carpentieri, B.; Giraud, L.; Gratton, S. Additive and multiplicative two-level spectral preconditioning for general linear systems. (English) Zbl 1145.65023 SIAM J. Sci. Comput. 29, No. 4, 1593-1612 (2007). MSC: 65F10 65F35 78A45 65N55 82D37 65F50 PDF BibTeX XML Cite \textit{B. Carpentieri} et al., SIAM J. Sci. Comput. 29, No. 4, 1593--1612 (2007; Zbl 1145.65023) Full Text: DOI Link
Lukáš, Dalibor Multigrid-based optimal shape and topology design in magnetostatics. (English) Zbl 1137.65369 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 82-90 (2007). MSC: 65K10 49J20 65F35 65H10 90C55 35J65 65N55 78A30 78M20 65N06 49Q10 49M37 PDF BibTeX XML Cite \textit{D. Lukáš}, Lect. Notes Comput. Sci. 4310, 82--90 (2007; Zbl 1137.65369) Full Text: DOI
Gravvanis, George A.; Giannoutakis, Konstantinos M. Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. (English) Zbl 1109.65039 Int. J. Numer. Methods Eng. 65, No. 1, 84-110 (2006). MSC: 65F35 65F50 65Y05 65N06 35J25 65Y20 65F10 65N12 PDF BibTeX XML Cite \textit{G. A. Gravvanis} and \textit{K. M. Giannoutakis}, Int. J. Numer. Methods Eng. 65, No. 1, 84--110 (2006; Zbl 1109.65039) Full Text: DOI
Chacón, L.; Lapenta, G. A fully implicit, nonlinear adaptive grid strategy. (English) Zbl 1083.65110 J. Comput. Phys. 212, No. 2, 703-717 (2006). MSC: 65N50 65N55 65H10 65F35 65K10 49J20 PDF BibTeX XML Cite \textit{L. Chacón} and \textit{G. Lapenta}, J. Comput. Phys. 212, No. 2, 703--717 (2006; Zbl 1083.65110) Full Text: DOI
Kunoth, Angela Wavelet-based multiresolution methods for stationary PDEs and PDE-constrained control problems. (English) Zbl 1082.65119 Blowey, James F. (ed.) et al., Frontiers of numerical analysis. Durham 2004. Written contributions of the 11th LMS-EPSRC computational mathematics and scientific computing summer scholl, Durham, UK, July 4–9, 2004. Berlin: Springer (ISBN 3-540-23921-9/pbk). Universitext, 1-63 (2005). MSC: 65N30 65T60 35J25 65K10 49J20 49M27 65N55 65F10 65F35 PDF BibTeX XML Cite \textit{A. Kunoth}, in: Frontiers of numerical analysis. Durham 2004. Written contributions of the 11th LMS-EPSRC computational mathematics and scientific computing summer scholl, Durham, UK, July 4--9, 2004. Berlin: Springer. 1--63 (2005; Zbl 1082.65119)
Rostamy Varnos Fadrony, D. Hybrid preconditioned algorithms for boundary hypersingular integral equations. (English) Zbl 1078.65113 Appl. Math. Comput. 166, No. 3, 531-550 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65F35 35J05 65N12 PDF BibTeX XML Cite \textit{D. Rostamy Varnos Fadrony}, Appl. Math. Comput. 166, No. 3, 531--550 (2005; Zbl 1078.65113) Full Text: DOI
Kunoth, Angela Adaptive wavelet schemes for an elliptic control problem with Dirichlet boundary control. (English) Zbl 1069.65069 Numer. Algorithms 39, No. 1-3, 199-220 (2005). MSC: 65K10 49J20 65T60 65F10 49M25 65F35 PDF BibTeX XML Cite \textit{A. Kunoth}, Numer. Algorithms 39, No. 1--3, 199--220 (2005; Zbl 1069.65069) Full Text: DOI
Heinkenschloss, Matthias A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. (English) Zbl 1075.65091 J. Comput. Appl. Math. 173, No. 1, 169-198 (2005). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49M27 49J20 49N10 65F10 65F35 PDF BibTeX XML Cite \textit{M. Heinkenschloss}, J. Comput. Appl. Math. 173, No. 1, 169--198 (2005; Zbl 1075.65091) Full Text: DOI
Bertaccini, Daniele; Ng, Michael K. Band-Toeplitz preconditioned GMRES iterations for time-dependent PDEs. (English) Zbl 1052.65016 BIT 43, Suppl., 901-914 (2003). Reviewer: Krassimir Georgiev (Sofia) MSC: 65F10 65F35 65M06 35K05 35L45 PDF BibTeX XML Cite \textit{D. Bertaccini} and \textit{M. K. Ng}, BIT 43, 901--914 (2003; Zbl 1052.65016) Full Text: DOI
Glowinski, Roland; Periaux, Jacques; Toivanen, Jari Time-periodic solutions of wave equation via controllability and fictitious domain methods. (English) Zbl 1049.65056 Cohen, Gary C. (ed.) et al., Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Berlin: Springer (ISBN 3-540-40127-X/hbk). 805-810 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65K10 49J20 65M70 65F10 65F35 35L05 93B05 PDF BibTeX XML Cite \textit{R. Glowinski} et al., in: Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June -- 4 July 2003. Berlin: Springer. 805--810 (2003; Zbl 1049.65056)
Carpentieri, B.; Duff, I. S.; Giraud, L. A class of spectral two-level preconditioners. (English) Zbl 1048.65043 SIAM J. Sci. Comput. 25, No. 2, 749-765 (2003). Reviewer: Michael Jung (Dresden) MSC: 65F35 65F50 65F10 78A55 65N38 PDF BibTeX XML Cite \textit{B. Carpentieri} et al., SIAM J. Sci. Comput. 25, No. 2, 749--765 (2003; Zbl 1048.65043) Full Text: DOI
Gravvanis, George A.; Giannoutakis, Konstantinos M. Normalized explicit finite element approximate inverses. (English) Zbl 1045.65102 Int. J. Differ. Equ. Appl. 6, No. 3, 253-267 (2002). MSC: 65N30 65F35 35J25 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{G. A. Gravvanis} and \textit{K. M. Giannoutakis}, Int. J. Differ. Equ. Appl. 6, No. 3, 253--267 (2002; Zbl 1045.65102)
Gravvanis, George A. Explicit preconditioned domain decomposition schemes. (English) Zbl 1031.65053 Int. J. Comput. Numer. Anal. Appl. 2, No. 1, 19-36 (2002). MSC: 65F10 65N06 65Y20 35J25 65F35 65Y05 65N55 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Int. J. Comput. Numer. Anal. Appl. 2, No. 1, 19--36 (2002; Zbl 1031.65053)
Flórez, E.; García, M. D.; González, L.; Montero, G. The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems. (English) Zbl 1024.65038 Adv. Eng. Softw. 33, No. 7-10, 611-619 (2002). MSC: 65F35 35J25 65F10 65F50 65N30 PDF BibTeX XML Cite \textit{E. Flórez} et al., Adv. Eng. Softw. 33, No. 7--10, 611--619 (2002; Zbl 1024.65038) Full Text: DOI
Gravvanis, G. A. Explicit approximate inverse preconditioning techniques. (English) Zbl 1032.65046 Arch. Comput. Methods Eng. 9, No. 4, 371-402 (2002). MSC: 65F35 35J65 35K55 65F10 65H10 65M55 65F50 65M06 65M60 65N06 65N30 65N55 35J25 35K20 65Y20 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Arch. Comput. Methods Eng. 9, No. 4, 371--402 (2002; Zbl 1032.65046) Full Text: DOI
Gravvanis, George A. Domain decomposition-finite difference approximate inverse preconditioned schemes for solving fourth-order equations. (English) Zbl 1016.65098 J. Math. Model. Algorithms 1, No. 3, 181-192 (2002). MSC: 65N55 65N06 65F10 65F50 65Y20 65Y05 35J40 65F35 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, J. Math. Model. Algorithms 1, No. 3, 181--192 (2002; Zbl 1016.65098) Full Text: DOI
Gravvanis, George A. Explicit approximate inverse matrix techniques. (English) Zbl 1045.65028 Int. J. Differ. Equ. Appl. 3, No. 3, 285-300 (2001). MSC: 65F10 35K15 65F35 65N06 65M06 35J65 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Int. J. Differ. Equ. Appl. 3, No. 3, 285--300 (2001; Zbl 1045.65028)
Gravvanis, George A. The convergence rate and complexity fo explicit preconditioned conjugate gradient methods based on approximate inverse banded matrix techniques. (English) Zbl 0992.65025 Neural Parallel Sci. Comput. 9, No. 3-4, 355-368 (2001). MSC: 65F10 65Y20 65F50 65F35 65Y05 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Neural Parallel Sci. Comput. 9, No. 3--4, 355--368 (2001; Zbl 0992.65025)
Gravvanis, George A. Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. (English) Zbl 1051.65102 Int. J. Appl. Math. 2, No. 11, 1363-1378 (2000). MSC: 65N06 65F35 65H10 35J65 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Int. J. Appl. Math. 2, No. 11, 1363--1378 (2000; Zbl 1051.65102)
Moriya, Kentaro; Nodera, Takashi The DEFLATED-GMRES\((m,k)\) method with switching the restart frequency dynamically. (English) Zbl 1051.65037 Numer. Linear Algebra Appl. 7, No. 7-8, 569-584 (2000). Reviewer: Jan Zítko (Praha) MSC: 65F10 65F35 65N06 35J25 65N12 PDF BibTeX XML Cite \textit{K. Moriya} and \textit{T. Nodera}, Numer. Linear Algebra Appl. 7, No. 7--8, 569--584 (2000; Zbl 1051.65037) Full Text: DOI
Xu, Jinchao; Zou, Jun Some nonoverlapping domain decomposition methods. (English) Zbl 0913.65115 SIAM Rev. 40, No. 4, 857-914 (1998). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N55 65N30 65F35 35J25 65F10 PDF BibTeX XML Cite \textit{J. Xu} and \textit{J. Zou}, SIAM Rev. 40, No. 4, 857--914 (1998; Zbl 0913.65115) Full Text: DOI
Coriand, Andrea Methods for sparse linear systems. (Verfahren für dünnbesetzte lineare Systeme.) (German) Zbl 0897.65034 DLR Forschungsbericht. 97-31. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt, 162 S. (1997). Reviewer: M.Jung (Chemnitz) MSC: 65F50 65F05 65-02 15-04 65F10 65F35 PDF BibTeX XML Cite \textit{A. Coriand}, Verfahren für dünnbesetzte lineare Systeme. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt (1997; Zbl 0897.65034)
Kunoth, Angela Multilevel preconditioning. (English) Zbl 0833.65132 Aachen: Verl. Shaker. 199 p. (1994). MSC: 65N55 65F10 65F35 65N30 35J25 35J40 PDF BibTeX XML Cite \textit{A. Kunoth}, Multilevel preconditioning. Aachen: Verl. Shaker (1994; Zbl 0833.65132)
Krechel, Arno; Plum, Hans-Joachim A parallel block preconditioned conjugate gradient method. (English) Zbl 0742.65024 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 157-176 (1991). Reviewer: S.Wright (Argonne) MSC: 65F10 65F35 65Y05 65Y20 PDF BibTeX XML Cite \textit{A. Krechel} and \textit{H.-J. Plum}, Notes Numer. Fluid Mech. 31, 157--176 (1991; Zbl 0742.65024)
Evans, D. J.; Missirlis, N. M. Preconditioned iterative methods for the numerical solution of elliptic partial differential equations. (English) Zbl 0766.65026 Preconditioning methods. Analysis and applications, Top. Comput. Math. 1, 115-177 (1991). MSC: 65F10 65F35 65N30 65N06 35J25 PDF BibTeX XML Cite \textit{D. J. Evans} and \textit{N. M. Missirlis}, in: Preconditioning methods: Analysis and applications. New York: Gordon and Breach Science Publishers. 115--177 (1991; Zbl 0766.65026)
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 PDF BibTeX XML
Moré, J. J. Recent developments in algorithms and software for trust region methods. (English) Zbl 0546.90077 Mathematical programming, 11th int. Symp., Bonn 1982, 258-287 (1983). Reviewer: R.Lepp MSC: 90C30 49M37 65K05 PDF BibTeX XML
Axelsson, O. Iterative methods for finite element equations. (English) Zbl 0467.65055 Elliptic problem solvers, Proc. Conf., Santa Fe/N.M. 1980, 191-195 (1981). MSC: 65N30 65F10 65F35 35J25 74S05 PDF BibTeX XML