Le Borne, Sabine; Wende, Michael Multilevel interpolation of scattered data using \(\mathcal{H}\)-matrices. (English) Zbl 1456.65011 Numer. Algorithms 85, No. 4, 1175-1193 (2020). MSC: 65D05 41A05 65F08 65F10 65N55 PDF BibTeX XML Cite \textit{S. Le Borne} and \textit{M. Wende}, Numer. Algorithms 85, No. 4, 1175--1193 (2020; Zbl 1456.65011) Full Text: DOI OpenURL
Thiele, Christopher; Araya-Polo, Mauricio; Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. (English) Zbl 1398.65088 Comput. Math. Appl. 74, No. 8, 1769-1778 (2017). MSC: 65F50 65F10 65N30 PDF BibTeX XML Cite \textit{C. Thiele} et al., Comput. Math. Appl. 74, No. 8, 1769--1778 (2017; Zbl 1398.65088) Full Text: DOI OpenURL
Andouze, S.; Goubet, O.; Poullet, P. A multilevel method for solving the Helmholtz equation: the analysis of the one-dimensional case. (English) Zbl 1263.65126 Int. J. Numer. Anal. Model. 8, No. 3, 365-372 (2011). MSC: 65N55 65N30 35J05 PDF BibTeX XML Cite \textit{S. Andouze} et al., Int. J. Numer. Anal. Model. 8, No. 3, 365--372 (2011; Zbl 1263.65126) Full Text: Link OpenURL
Pultarová, I. Preconditioning and a posteriori error estimates using \(h\)- and \(p\)-hierarchical finite elements with rectangular supports. (English) Zbl 1224.65077 Numer. Linear Algebra Appl. 16, No. 5, 415-430 (2009). Reviewer: Tomáš Vejchodský (Praha) MSC: 65F08 65N30 65N15 35J25 65N55 PDF BibTeX XML Cite \textit{I. Pultarová}, Numer. Linear Algebra Appl. 16, No. 5, 415--430 (2009; Zbl 1224.65077) Full Text: DOI OpenURL
Kraus, J. K.; Tomar, S. K. A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems. (English) Zbl 1212.65492 Numer. Linear Algebra Appl. 15, No. 5, 417-438 (2008). MSC: 65N55 65N30 35J25 65F10 65F08 PDF BibTeX XML Cite \textit{J. K. Kraus} and \textit{S. K. Tomar}, Numer. Linear Algebra Appl. 15, No. 5, 417--438 (2008; Zbl 1212.65492) Full Text: DOI OpenURL
Kraus, Johannes K.; Tomar, Satyendra K. Multilevel preconditioning of two-dimensional elliptic problems discretized by a class of discontinuous Galerkin methods. (English) Zbl 1177.65173 SIAM J. Sci. Comput. 30, No. 2, 684-706 (2008). Reviewer: János Karátson (Budapest) MSC: 65N30 65N55 35J25 65F08 65F10 PDF BibTeX XML Cite \textit{J. K. Kraus} and \textit{S. K. Tomar}, SIAM J. Sci. Comput. 30, No. 2, 684--706 (2008; Zbl 1177.65173) Full Text: DOI OpenURL
Margenov, Svetozar; Synka, Josef Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FEM elliptic problems. (English) Zbl 1137.65433 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, 91-99 (2007). MSC: 65N30 65N55 35J35 65N12 65F10 65F35 PDF BibTeX XML Cite \textit{S. Margenov} and \textit{J. Synka}, Lect. Notes Comput. Sci. 4310, 91--99 (2007; Zbl 1137.65433) Full Text: DOI Link OpenURL
Blaheta, Radim; Margenov, Svetozar; Neytcheva, Maya Robust optimal multilevel preconditioners for non-conforming finite element systems. (English) Zbl 1164.65518 Numer. Linear Algebra Appl. 12, No. 5-6, 495-514 (2005). MSC: 65N55 65F35 65F10 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{R. Blaheta} et al., Numer. Linear Algebra Appl. 12, No. 5--6, 495--514 (2005; Zbl 1164.65518) Full Text: DOI OpenURL
Notay, Y. Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. (English) Zbl 1164.65356 Numer. Linear Algebra Appl. 12, No. 5-6, 419-451 (2005). Reviewer: Jan Chleboun (Praha) MSC: 65F10 65N55 65F35 PDF BibTeX XML Cite \textit{Y. Notay}, Numer. Linear Algebra Appl. 12, No. 5--6, 419--451 (2005; Zbl 1164.65356) Full Text: DOI OpenURL
Axelsson, O.; Laayouni, L.; Margenov, S. Robust multilevel preconditioners for second order elliptic equations and systems of equations. (English) Zbl 1117.65368 Math. Balk., New Ser. 19, No. 3-4, 321-348 (2005). MSC: 65N55 35J25 65N30 65F10 65F35 PDF BibTeX XML Cite \textit{O. Axelsson} et al., Math. Balk., New Ser. 19, No. 3--4, 321--348 (2005; Zbl 1117.65368) OpenURL
Aksoylu, Burak; Khodakovsky, Andrei; Schröder, Peter Multilevel solvers for unstructured surface meshes. (English) Zbl 1075.65027 SIAM J. Sci. Comput. 26, No. 4, 1146-1165 (2005). MSC: 65D18 65Y20 65F10 65F35 65F50 PDF BibTeX XML Cite \textit{B. Aksoylu} et al., SIAM J. Sci. Comput. 26, No. 4, 1146--1165 (2005; Zbl 1075.65027) Full Text: DOI OpenURL
Beauwens, Robert Iterative solution methods. (English) Zbl 1062.65038 Appl. Numer. Math. 51, No. 4, 437-450 (2004). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{R. Beauwens}, Appl. Numer. Math. 51, No. 4, 437--450 (2004; Zbl 1062.65038) Full Text: DOI OpenURL
Bartsch, Guido; Wulf, Christian Adaptive multigrid for Helmholtz problems. (English) Zbl 1360.76123 J. Comput. Acoust. 11, No. 3, 341-350 (2003). MSC: 76M10 76Q05 65N50 65N55 PDF BibTeX XML Cite \textit{G. Bartsch} and \textit{C. Wulf}, J. Comput. Acoust. 11, No. 3, 341--350 (2003; Zbl 1360.76123) Full Text: DOI OpenURL
Tausch, Johannes; White, Jacob Multiscale bases for the sparse representation of boundary integral operators on complex geometry. (English) Zbl 1036.65099 SIAM J. Sci. Comput. 24, No. 5, 1610-1629 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N38 65N55 65Y20 65F20 35J05 31A10 PDF BibTeX XML Cite \textit{J. Tausch} and \textit{J. White}, SIAM J. Sci. Comput. 24, No. 5, 1610--1629 (2003; Zbl 1036.65099) Full Text: DOI OpenURL
Axelsson, O.; Margenov, S. On multilevel preconditioners which are optimal with respect to both problem and discretization parameters. (English) Zbl 1039.65078 Comput. Methods Appl. Math. 3, No. 1, 6-22 (2003). Reviewer: K. T. S. Iyengar (Bangalore) MSC: 65N30 65F10 65N55 65F35 35J25 35R05 PDF BibTeX XML Cite \textit{O. Axelsson} and \textit{S. Margenov}, Comput. Methods Appl. Math. 3, No. 1, 6--22 (2003; Zbl 1039.65078) Full Text: DOI OpenURL
Kiefer, Frank Multiscale methods for convection-diffusion problems. (Multiskalen-Verfahren für Konvektions-Diffusions Probleme.) (German) Zbl 0992.65124 Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät, 175 S. (2001). MSC: 65N30 65N12 65T60 35B25 35J25 65N55 PDF BibTeX XML Cite \textit{F. Kiefer}, Multiskalen-Verfahren für Konvektions-Diffusions Probleme. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (2001; Zbl 0992.65124) OpenURL
Bridson, Robert; Tang, Wei-Pai Multiresolution approximate inverse preconditioners. (English) Zbl 0992.65027 SIAM J. Sci. Comput. 23, No. 2, 463-479 (2001). MSC: 65F10 65N55 35J25 65N30 65F35 65F50 PDF BibTeX XML Cite \textit{R. Bridson} and \textit{W.-P. Tang}, SIAM J. Sci. Comput. 23, No. 2, 463--479 (2001; Zbl 0992.65027) Full Text: DOI OpenURL
Padyi, Aleksander On a parallel multilevel solver for linear elasticity problems. (English) Zbl 1005.74080 Numer. Linear Algebra Appl. 6, No. 3, 171-188 (1999). Reviewer: Jan Chleboun (Praha) MSC: 74S99 74B05 65N55 65Y05 65N22 PDF BibTeX XML Cite \textit{A. Padyi}, Numer. Linear Algebra Appl. 6, No. 3, 171--188 (1999; Zbl 1005.74080) Full Text: DOI OpenURL
Kolev, Tzanio V.; Margenov, Svetozar D. Multilevel HB preconditioning of non-conforming FEM systems. (English) Zbl 0980.65124 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 603-610 (1999). MSC: 65N30 65N55 65F35 65F10 35J25 PDF BibTeX XML Cite \textit{T. V. Kolev} and \textit{S. D. Margenov}, in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 603--610 (1999; Zbl 0980.65124) OpenURL
Bai, Zhongzhi A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. (English) Zbl 0922.65033 Adv. Comput. Math. 10, No. 2, 169-186 (1999). Reviewer: E.D’yakonov (Moskva) MSC: 65F35 65F10 35J25 65N30 65N55 PDF BibTeX XML Cite \textit{Z. Bai}, Adv. Comput. Math. 10, No. 2, 169--186 (1999; Zbl 0922.65033) Full Text: DOI OpenURL
Vassilevski, Panayot S.; Wang, Junping Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. (English) Zbl 0924.65108 SIAM J. Sci. Comput. 20, No. 2, 490-514 (1999). Reviewer: K.Najzar (Praha) MSC: 65N55 65N30 35J25 65Y20 65F10 65F35 PDF BibTeX XML Cite \textit{P. S. Vassilevski} and \textit{J. Wang}, SIAM J. Sci. Comput. 20, No. 2, 490--514 (1999; Zbl 0924.65108) Full Text: DOI OpenURL
Hersvik, K. J.; Espedal, M. S. Adaptive hierarchical upscaling of flow in heterogeneous reservoirs based on an a posteriori error estimate. (English) Zbl 0946.76073 Comput. Geosci. 2, No. 4, 311-336 (1998). MSC: 76M25 76S05 76T99 65M15 65M55 86A05 PDF BibTeX XML Cite \textit{K. J. Hersvik} and \textit{M. S. Espedal}, Comput. Geosci. 2, No. 4, 311--336 (1998; Zbl 0946.76073) Full Text: DOI OpenURL
Bank, Randolph E.; Gutsch, Sabine The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid. (English) Zbl 0926.65125 Hackbusch, Wolfgang (ed.) et al., Multigrid methods V. Proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1–4, 1996. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 3, 1-20 (1998). MSC: 65N55 35J25 65N06 65F10 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{S. Gutsch}, Lect. Notes Comput. Sci. Eng. 3, 1--20 (1998; Zbl 0926.65125) OpenURL
Tran, Thanh; Stephan, Ernst P.; Zaprianov, Stefan Wavelet-based preconditioners for boundary integral equations. (English) Zbl 0921.65074 Adv. Comput. Math. 9, No. 1-2, 233-249 (1998). Reviewer: Di-Rong Chen (Beijing) MSC: 65N38 35J25 65R20 65N55 65F35 45E10 PDF BibTeX XML Cite \textit{T. Tran} et al., Adv. Comput. Math. 9, No. 1--2, 233--249 (1998; Zbl 0921.65074) Full Text: DOI OpenURL
Bank, Randolph E.; Gutsch, Sabine An algebraic approach to the HBMG method for unstructured grids. (English) Zbl 0925.65201 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3, S863-S864 (1998). MSC: 65N55 65F10 65N30 65N50 35J25 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{S. Gutsch}, ZAMM, Z. Angew. Math. Mech. 78, S863--S864 (1998; Zbl 0925.65201) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. S. Vassilevski}, East-West J. Numer. Math. 6, No. 1, 65--79 (1998; Zbl 0915.65120) OpenURL
Mund, P.; Stephan, E. P.; Weiße, J. Two-level methods for the single layer potential in \(\mathbb{R}^3\). (English) Zbl 0901.65072 Computing 60, No. 3, 243-266 (1998). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N38 65N55 35J25 65F35 65N50 65F10 65N15 PDF BibTeX XML Cite \textit{P. Mund} et al., Computing 60, No. 3, 243--266 (1998; Zbl 0901.65072) Full Text: DOI OpenURL
Stevenson, Rob Experiments in 3D with a three-point hierarchical basis preconditioner. (English) Zbl 0872.65106 Appl. Numer. Math. 23, No. 1, 159-175 (1997). Reviewer: J.P.Milaszewicz (Dublin) MSC: 65N55 65N30 65F35 65N12 65F10 35J25 PDF BibTeX XML Cite \textit{R. Stevenson}, Appl. Numer. Math. 23, No. 1, 159--175 (1997; Zbl 0872.65106) Full Text: DOI OpenURL
Vassilevskij, P. S.; Wang, J. Stabilizing the hierarchical basis by approximate wavelets. I: Theory. (English) Zbl 0889.65126 Numer. Linear Algebra Appl. 4, No. 2, 103-126 (1997). Reviewer: K.Najzar (Praha) MSC: 65N55 65N30 65F10 65F35 65N50 35J25 PDF BibTeX XML Cite \textit{P. S. Vassilevskij} and \textit{J. Wang}, Numer. Linear Algebra Appl. 4, No. 2, 103--126 (1997; Zbl 0889.65126) Full Text: DOI OpenURL
Funken, Stefan A. Fast solution methods for FEM-BEM coupled equations. (Schnelle Lösungsverfahren für FEM-BEM Kopplungsgleichungen.) (German) Zbl 0886.65118 Hannover: Univ. Hannover, FB Mathematik, x, 134 p. (1997). MSC: 65N55 65F35 65N30 35J05 65F10 65N38 65Y05 PDF BibTeX XML Cite \textit{S. A. Funken}, Schnelle Lösungsverfahren für FEM-BEM Kopplungsgleichungen. Hannover: Univ. Hannover, FB Mathematik (1997; Zbl 0886.65118) OpenURL
Li, Feng; Li, Ronghua Multi-level splitting methods solving difference equations. (English) Zbl 0898.65059 Northeast. Math. J. 13, No. 2, 229-246 (1997). Reviewer: J.Mandel (Denver) MSC: 65N06 65F10 65F35 65N55 35J05 65N12 PDF BibTeX XML Cite \textit{F. Li} and \textit{R. Li}, Northeast. Math. J. 13, No. 2, 229--246 (1997; Zbl 0898.65059) OpenURL
Haase, G. Hierarchical extension operators plus smoothing in domain decomposition preconditioners. (English) Zbl 0878.65106 Appl. Numer. Math. 23, No. 3, 327-346 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N55 65N30 65F10 65F35 35J25 78A25 PDF BibTeX XML Cite \textit{G. Haase}, Appl. Numer. Math. 23, No. 3, 327--346 (1997; Zbl 0878.65106) Full Text: DOI OpenURL
Vassilevski, Panayot S. On two ways of stabilizing the hierarchical basis multilevel methods. (English) Zbl 0880.65085 SIAM Rev. 39, No. 1, 18-53 (1997). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65N30 35J25 65F35 65N12 65F10 65N55 PDF BibTeX XML Cite \textit{P. S. Vassilevski}, SIAM Rev. 39, No. 1, 18--53 (1997; Zbl 0880.65085) Full Text: DOI OpenURL
Axelsson, O. The stabilized \(V\)-cycle method. (English) Zbl 0871.65103 J. Comput. Appl. Math. 74, No. 1-2, 33-50 (1996). Reviewer: K.Georgiev (Sofia) MSC: 65N55 65N30 65F10 35J40 65N12 65F35 35J25 65Y05 65Y20 PDF BibTeX XML Cite \textit{O. Axelsson}, J. Comput. Appl. Math. 74, No. 1--2, 33--50 (1996; Zbl 0871.65103) Full Text: DOI OpenURL
Ainsworth, Mark A hierarchical domain decomposition preconditioner for \(h\)-\(p\) finite element approximation on locally refined meshes. (English) Zbl 0860.65111 SIAM J. Sci. Comput. 17, No. 6, 1395-1413 (1996). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65N30 65N55 65F10 35J25 65F35 65N50 PDF BibTeX XML Cite \textit{M. Ainsworth}, SIAM J. Sci. Comput. 17, No. 6, 1395--1413 (1996; Zbl 0860.65111) Full Text: DOI OpenURL
Bank, Randolph E.; Xu, Jinchao An algorithm for coarsening unstructured meshes. (English) Zbl 0857.65034 Numer. Math. 73, No. 1, 1-36 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 65F10 35J25 65F35 65N55 65N30 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{J. Xu}, Numer. Math. 73, No. 1, 1--36 (1996; Zbl 0857.65034) Full Text: DOI OpenURL
Casarin, Mario A.; Widlund, Olof B. A hierarchical preconditioner for the mortar finite element method. (English) Zbl 0870.65105 ETNA, Electron. Trans. Numer. Anal. 4, 75-88 (1996). Reviewer: J.P.Milaszewicz (Dublin) MSC: 65N30 65N55 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{M. A. Casarin} and \textit{O. B. Widlund}, ETNA, Electron. Trans. Numer. Anal. 4, 75--88 (1996; Zbl 0870.65105) Full Text: EuDML EMIS OpenURL
Stevenson, Rob The frequency decomposition multilevel method: A robust additive hiearchical basis preconditioner. (English) Zbl 0856.65132 Math. Comput. 65, No. 215, 983-997 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65N55 65N30 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{R. Stevenson}, Math. Comput. 65, No. 215, 983--997 (1996; Zbl 0856.65132) Full Text: DOI OpenURL
Stevenson, R. P. Robustness of the additive and multiplicative frequency decomposition multi-level method. (English) Zbl 0824.65105 Computing 54, No. 4, 331-346 (1995). Reviewer: K.Georgiev (Sofia) MSC: 65N30 65F35 65N55 65F10 35B25 35J05 35J25 PDF BibTeX XML Cite \textit{R. P. Stevenson}, Computing 54, No. 4, 331--346 (1995; Zbl 0824.65105) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Proskurowski} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 16, No. 2, 414--430 (1995; Zbl 0820.65070) Full Text: DOI OpenURL
Elman, Howard C.; Zhang, Xuejun Algebraic analysis of the hierarchical basis preconditioner. (English) Zbl 0828.65032 SIAM J. Matrix Anal. Appl. 16, No. 1, 192-206 (1995). Reviewer: R.H.W.Hoppe (München) MSC: 65F10 65F35 65N30 65N55 35J25 PDF BibTeX XML Cite \textit{H. C. Elman} and \textit{X. Zhang}, SIAM J. Matrix Anal. Appl. 16, No. 1, 192--206 (1995; Zbl 0828.65032) Full Text: DOI OpenURL
Bank, Randolph E.; Xu, Jinchao A hierarchical basis multigrid method for unstructured grids. (English) Zbl 0874.65091 Hackbusch, Wolfgang (ed.) et al., Fast solvers for flow problems. Proceedings of the tenth GAMM-Seminar Kiel, Germany, January 14–16, 1994. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 49, 1-13 (1995). MSC: 65N55 65N30 35J25 65N50 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{J. Xu}, in: Fast solvers for flow problems. Proceedings of the tenth GAMM-Seminar Kiel, Germany, January 14--16, 1994. Wiesbaden: Vieweg. 1--13 (1995; Zbl 0874.65091) OpenURL
Bank, Randolph E. Hierarchical preconditioners for elliptic partial differential equations. (English) Zbl 0833.65133 Gilbert, John (ed.) et al., Advances in numerical analysis. Vol. III: Large-scale matrix problems and the numerical solution of partial differential equations. Proceedings of the fifth summer school in numerical analysis, held at Lancaster University, Lancaster, UK, July 19-31, 1992. Oxford: Clarendon Press. Oxford Science Publications. 121-155 (1994). MSC: 65N55 65N30 65F35 65F10 35J25 PDF BibTeX XML Cite \textit{R. E. Bank}, in: Advances in numerical analysis. Vol. III: Large-scale matrix problems and the numerical solution of partial differential equations. Proceedings of the fifth summer school in numerical analysis, held at Lancaster University, Lancaster, UK, July 19-31, 1992. Oxford: Clarendon Press. 121--155 (1994; Zbl 0833.65133) OpenURL
Bank, Randolph E.; Xu, Jinchao The hierarchical basis multigrid method and incomplete LU decomposition. (English) Zbl 0817.65103 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 163-173 (1994). MSC: 65N55 65N30 65F10 65F05 35J05 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{J. Xu}, Contemp. Math. 180, 163--173 (1994; Zbl 0817.65103) OpenURL
Vassilevski, Panayot S.; Axelsson, Owe A two-level stabilizing framework for interface domain decomposition preconditioners. (English) Zbl 0812.65106 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. 196-202 (1994). Reviewer: G.Hedstrom (Livermore) MSC: 65N55 65F35 PDF BibTeX XML Cite \textit{P. S. Vassilevski} and \textit{O. Axelsson}, 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. 196--202 (1994; Zbl 0812.65106) OpenURL
Neytcheva, Maya The short length AMLI method. II: Computational and communication complexity. (English) Zbl 0840.65022 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. 162-169 (1994). MSC: 65F10 65N55 65F35 65Y05 65Y20 PDF BibTeX XML Cite \textit{M. Neytcheva}, 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. 162--169 (1994; Zbl 0840.65022) OpenURL
Elman, H. C.; Guo, Xian-Zhong Performance enhancement and parallel algorithms for two multilevel preconditioners. (English) Zbl 0786.65025 SIAM J. Sci. Comput. 14, No. 4, 890-913 (1993). Reviewer: L.S.Ioffe (Haifa) MSC: 65F10 65F35 65Y05 65N06 65N55 35J25 PDF BibTeX XML Cite \textit{H. C. Elman} and \textit{X.-Z. Guo}, SIAM J. Sci. Comput. 14, No. 4, 890--913 (1993; Zbl 0786.65025) Full Text: DOI OpenURL
Chen, Min; Temam, Roger Incremental unknowns in finite differences: Condition number of the matrix. (English) Zbl 0773.65080 SIAM J. Matrix Anal. Appl. 14, No. 2, 432-455 (1993). Reviewer: R.H.W.Hoppe (München) MSC: 65N55 65F35 65N06 65F10 65N30 35J25 PDF BibTeX XML Cite \textit{M. Chen} and \textit{R. Temam}, SIAM J. Matrix Anal. Appl. 14, No. 2, 432--455 (1993; Zbl 0773.65080) Full Text: DOI OpenURL
Bungartz, Hans-Joachim An adaptive Poisson solver using hierarchical bases and sparse grids. (English) Zbl 0785.65109 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. 293-310 (1992). MSC: 65N55 65N30 65F10 35J05 PDF BibTeX XML Cite \textit{H.-J. Bungartz}, in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 293--310 (1992; Zbl 0785.65109) OpenURL
Wang, Junping Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. (English) Zbl 0785.65115 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. 93-110 (1992). MSC: 65N55 65N30 65F10 65N12 35J25 PDF BibTeX XML Cite \textit{J. Wang}, in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 93--110 (1992; Zbl 0785.65115) OpenURL
Bank, Randolph E.; Benbourenane, Mohamed The hierarchical basis multigrid method for convection-diffusion equations. (English) Zbl 0757.65120 Numer. Math. 61, No. 1, 7-37 (1992). Reviewer: M.A.Ibiejugba (Ilorin) MSC: 65N55 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{M. Benbourenane}, Numer. Math. 61, No. 1, 7--37 (1992; Zbl 0757.65120) Full Text: DOI EuDML OpenURL
Rüde, U. The hierarchical basis extrapolation method. (English) Zbl 0745.65065 SIAM J. Sci. Stat. Comput. 13, No. 1, 307-318 (1992). Reviewer: I.N.Katz (St.Louis) MSC: 65N30 65N50 65F10 65N55 35J25 PDF BibTeX XML Cite \textit{U. Rüde}, SIAM J. Sci. Stat. Comput. 13, No. 1, 307--318 (1992; Zbl 0745.65065) Full Text: DOI OpenURL
Guo, Renli; Skeel, Robert D. An algebraic hierarchical basis preconditioner. (English) Zbl 0751.65021 Appl. Numer. Math. 9, No. 1, 21-32 (1992). Reviewer: W.Govaerts (Gent) MSC: 65F10 65F35 PDF BibTeX XML Cite \textit{R. Guo} and \textit{R. D. Skeel}, Appl. Numer. Math. 9, No. 1, 21--32 (1992; Zbl 0751.65021) Full Text: DOI OpenURL
Xu, Jinchao Iterative methods by space decomposition and subspace correction. (English) Zbl 0788.65037 SIAM Rev. 34, No. 4, 581-613 (1992). Reviewer: H.Weber (Wiesbaden) MSC: 65F10 65F35 65N55 65N30 PDF BibTeX XML Cite \textit{J. Xu}, SIAM Rev. 34, No. 4, 581--613 (1992; Zbl 0788.65037) Full Text: DOI OpenURL
Zenger, Christoph Sparse grids. (English) Zbl 0763.65091 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 241-251 (1991). Reviewer: G.Stoyan (Budapest) MSC: 65N55 65N50 65N30 PDF BibTeX XML Cite \textit{C. Zenger}, in: Parallel algorithms for partial differential equations. Proceedings of the sixth GAMM-Seminar, Kiel, Germany, January 19-21, 1990. Braunschweig: Vieweg. 241--251 (1991; Zbl 0763.65091) OpenURL
Griebel, M. A parallelizable and vectorizable multi-level algorithm on sparse grids. (English) Zbl 0741.65090 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 94-100 (1991). Reviewer: J.Vaníček (Praha) MSC: 65N55 65N30 65Y05 35J05 PDF BibTeX XML Cite \textit{M. Griebel}, in: Parallel algorithms for partial differential equations. Proceedings of the sixth GAMM-Seminar, Kiel, Germany, January 19-21, 1990. Braunschweig: Vieweg. 94--100 (1991; Zbl 0741.65090) OpenURL
Griebel, Michael Parallel multigrid methods on sparse grids. (English) Zbl 0733.65077 Multigrid methods III, Proc. 3rd Eur. Conf., Bonn/Ger. 1990, ISNM 98, 211-221 (1991). Reviewer: H.Schmitz (Heidelberg) MSC: 65N55 65Y05 65Y20 PDF BibTeX XML OpenURL
Haase, G.; Langer, U.; Meyer, A. The approximate Dirichlet domain decomposition method. II: Applications to 2nd-order elliptic B.V.P.s. (English) Zbl 0741.65092 Computing 47, No. 2, 153-167 (1991). Reviewer: E.D’yakonov (Moskva) MSC: 65N55 65N30 65F10 65Y05 35J05 PDF BibTeX XML Cite \textit{G. Haase} et al., Computing 47, No. 2, 153--167 (1991; Zbl 0741.65092) Full Text: DOI OpenURL
Tong, Charles H.; Chan, Tony F.; Kuo, C. C. Jay A domain decomposition preconditioner based on a change to a multilevel nodal basis. (English) Zbl 0744.65084 SIAM J. Sci. Stat. Comput. 12, No. 6, 1486-1495 (1991). Reviewer: I.Grosu (Iaşi) MSC: 65N55 65F10 35J25 PDF BibTeX XML Cite \textit{C. H. Tong} et al., SIAM J. Sci. Stat. Comput. 12, No. 6, 1486--1495 (1991; Zbl 0744.65084) Full Text: DOI Link OpenURL
Bank, Randolph E.; Benbourenane, Mohamed A Fourier analysis of the two-level hierarchical basis multigrid method for convection-diffusion equations. (English) Zbl 0766.65056 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 178-184 (1991). MSC: 65L05 65L60 34A30 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{M. Benbourenane}, 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. 178--184 (1991; Zbl 0766.65056) OpenURL
Yserentant, Harry Two multi-level methods for nonuniformly refined grids. (English) Zbl 0736.65084 Computer algorithms for solving linear algebraic equations. The state of the art, NATO ASI Ser., Ser. F 77, 161-167 (1991). Reviewer: Qin Mengzhao (Beijing) MSC: 65N55 65N30 65N50 35J25 PDF BibTeX XML Cite \textit{H. Yserentant}, in: ABS algorithms for general linear systems. . 161--167 (1991; Zbl 0736.65084) OpenURL
Leinen, Peter; Yserentant, Harry Two fast solvers based on the multi-level splitting of finite element spaces. (English) Zbl 0741.65094 Multigrid methods III, Proc. 3rd Eur. Conf., Bonn/Ger. 1990, ISNM 98, 83-90 (1991). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65N55 65N50 65N30 35J25 PDF BibTeX XML Cite \textit{P. Leinen} and \textit{H. Yserentant}, in: Recent developments for the PSMG multiscale method. . 83--90 (1991; Zbl 0741.65094) OpenURL
Smith, Barry F.; Widlund, Olof B. A domain decomposition algorithm using a hierarchical basis. (English) Zbl 0712.65101 SIAM J. Sci. Stat. Comput. 11, No. 6, 1212-1220 (1990). Reviewer: A.Swift MSC: 65N55 65F10 65N30 65F35 35J25 PDF BibTeX XML Cite \textit{B. F. Smith} and \textit{O. B. Widlund}, SIAM J. Sci. Stat. Comput. 11, No. 6, 1212--1220 (1990; Zbl 0712.65101) Full Text: DOI OpenURL
Kuo, C.-C. Jay; Chan, Tony F.; Tong, Charles Multilevel filtering elliptic preconditioners. (English) Zbl 0707.65081 SIAM J. Matrix Anal. Appl. 11, No. 3, 403-429 (1990). Reviewer: S.F.McCormick MSC: 65N55 65N22 35J25 65F10 65F35 PDF BibTeX XML Cite \textit{C. C. J. Kuo} et al., SIAM J. Matrix Anal. Appl. 11, No. 3, 403--429 (1990; Zbl 0707.65081) Full Text: DOI Link OpenURL
Greenbaum, Anne; Li, Congming; Chao, Han Zheng Parallelizing preconditioned conjugate gradient algorithms. (English) Zbl 0798.65040 Comput. Phys. Commun. 53, No. 1-3, 295-309 (1989). MSC: 65F10 65F35 65Y05 65Y20 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{A. Greenbaum} et al., Comput. Phys. Commun. 53, No. 1--3, 295--309 (1989; Zbl 0798.65040) Full Text: DOI OpenURL
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry The hierarchical basis multigrid method. (English) Zbl 0645.65074 Numer. Math. 52, No. 4, 427-458 (1988). Reviewer: G.Stoyan MSC: 65N30 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{R. E. Bank} et al., Numer. Math. 52, No. 4, 427--458 (1988; Zbl 0645.65074) Full Text: DOI EuDML OpenURL
Yserentant, Harry On the multi-level splitting of finite element spaces for indefinite elliptic boundary value problems. (English) Zbl 0616.65102 SIAM J. Numer. Anal. 23, 581-595 (1986). Reviewer: G.Stoyan MSC: 65N30 65N22 65F10 35J05 PDF BibTeX XML Cite \textit{H. Yserentant}, SIAM J. Numer. Anal. 23, 581--595 (1986; Zbl 0616.65102) Full Text: DOI OpenURL