Tamstorf, Rasmus; Benzaken, Joseph; McCormick, Stephen F. Discretization-error-accurate mixed-precision multigrid solvers. (English) Zbl 07418114 SIAM J. Sci. Comput. 43, No. 5, S420-S447 (2021). MSC: 65F10 65G50 65M55 PDFBibTeX XMLCite \textit{R. Tamstorf} et al., SIAM J. Sci. Comput. 43, No. 5, S420--S447 (2021; Zbl 07418114) Full Text: DOI
McCormick, Stephen F.; Benzaken, Joseph; Tamstorf, Rasmus Algebraic error analysis for mixed-precision multigrid solvers. (English) Zbl 07418113 SIAM J. Sci. Comput. 43, No. 5, S392-S419 (2021). MSC: 65F10 65G50 65M55 PDFBibTeX XMLCite \textit{S. F. McCormick} et al., SIAM J. Sci. Comput. 43, No. 5, S392--S419 (2021; Zbl 07418113) Full Text: DOI
Tamstorf, Rasmus; Benzaken, Joseph; McCormick, Stephen F. Discretization-error-accurate mixed-precision multigrid solvers. (English) Zbl 07378149 SIAM J. Sci. Comput. 43, No. 3, S420-S447 (2021). MSC: 65F10 65G50 65M55 PDFBibTeX XMLCite \textit{R. Tamstorf} et al., SIAM J. Sci. Comput. 43, No. 3, S420--S447 (2021; Zbl 07378149) Full Text: DOI arXiv
McCormick, Stephen F.; Benzaken, Joseph; Tamstorf, Rasmus Algebraic error analysis for mixed-precision multigrid solvers. (English) Zbl 07378148 SIAM J. Sci. Comput. 43, No. 3, S392-S419 (2021). MSC: 65F10 65G50 65M55 PDFBibTeX XMLCite \textit{S. F. McCormick} et al., SIAM J. Sci. Comput. 43, No. 3, S392--S419 (2021; Zbl 07378148) Full Text: DOI arXiv
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). (English) Zbl 1325.65169 SIAM J. Sci. Comput. 37, No. 5, S113-S136 (2015). MSC: 65N55 65M55 65Y05 PDFBibTeX XMLCite \textit{R. Bank} et al., SIAM J. Sci. Comput. 37, No. 5, S113--S136 (2015; Zbl 1325.65169) Full Text: DOI Link
Benzi, Michele (ed.); Cai, Xiao-Chuan (ed.); Duff, Iain (ed.); Elman, Howard (ed.); Jordan, Kirk (ed.); Kelley, Tim (ed.); Kilmer, Misha (ed.); Knoll, Dana (ed.); Leyffer, Sven (ed.); Livshits, Ira (ed.); Manteuffel, Tom (ed.); McCormick, Steve (ed.); Olson, Luke (ed.); Shadid, John (ed.); Silvester, David (ed.); Tuminaro, Ray (ed.); Walker, Homer (ed.); Woodward, Carol (ed.); Yavneh, Irad (ed.) Special section: 2014 Copper Mountain conference. (English) Zbl 1323.00073 SIAM J. Sci. Comput. 37, No. 5, S1-S2 (2015). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{M. Benzi} (ed.) et al., SIAM J. Sci. Comput. 37, No. 5, S1--S2 (2015; Zbl 1323.00073) Full Text: DOI
Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L. Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. (English) Zbl 1282.76193 SIAM J. Sci. Comput. 35, No. 5, S171-S191 (2013). MSC: 76W05 65F10 65N55 65N50 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 35, No. 5, S171--S191 (2013; Zbl 1282.76193) Full Text: DOI Link
Tuminaro, Ray (ed.); Benzi, Michele (ed.); Cai, Xiao-Chuan (ed.); Duff, Iain (ed.); Elman, Howard (ed.); Freund, Roland (ed.); Jordan, Kirk (ed.); Kelley, Tim (ed.); Keyes, David (ed.); Kilmer, Misha (ed.); Leyffer, Sven (ed.); Manteuffel, Tom (ed.); McCormick, Steve (ed.); Silvester, David (ed.); Walker, Homer (ed.); Woodward, Carol (ed.); Yavneh, Irad (ed.) Special section: 2010 Copper Mountain conference. (English) Zbl 1231.00050 SIAM J. Sci. Comput. 33, No. 5, 2685 (2011). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{R. Tuminaro} (ed.) et al., SIAM J. Sci. Comput. 33, No. 5, 2685 (2011; Zbl 1231.00050) Full Text: DOI Link
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Nolting, J. W.; Ruge, J. W.; Tang, L. Efficiency based adaptive local refinement for first-order system least-squares formulations. (English) Zbl 1368.65227 SIAM J. Sci. Comput. 33, No. 1, 1-24 (2011). MSC: 65N30 65N15 65N50 76M10 76W05 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 33, No. 1, 1--24 (2011; Zbl 1368.65227) Full Text: DOI Link
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D. Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. (English) Zbl 1410.76321 SIAM J. Sci. Comput. 32, No. 3, 1506-1526 (2010). MSC: 76M25 65F10 65M55 76W05 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 32, No. 3, 1506--1526 (2010; Zbl 1410.76321) Full Text: DOI
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G. Algebraic multigrid for Markov chains. (English) Zbl 1210.65016 SIAM J. Sci. Comput. 32, No. 2, 544-562 (2010). MSC: 65C40 60J22 65F10 PDFBibTeX XMLCite \textit{H. De Sterck} et al., SIAM J. Sci. Comput. 32, No. 2, 544--562 (2010; Zbl 1210.65016) Full Text: DOI
Brannick, J.; Ketelsen, C.; Manteuffel, T.; McCormick, S. Least-squares finite element methods for quantum electrodynamics. (English) Zbl 1208.81201 SIAM J. Sci. Comput. 32, No. 1, 398-417 (2010). MSC: 81V05 65N30 65N55 65C05 81V10 81T80 PDFBibTeX XMLCite \textit{J. Brannick} et al., SIAM J. Sci. Comput. 32, No. 1, 398--417 (2010; Zbl 1208.81201) Full Text: DOI
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. First-order system least squares for incompressible resistive magnetohydrodynamics. (English) Zbl 1410.76469 SIAM J. Sci. Comput. 32, No. 1, 229-248 (2010). MSC: 76W05 65N30 76D05 76M10 76X05 65N55 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 32, No. 1, 229--248 (2010; Zbl 1410.76469) Full Text: DOI
De Sterck, H.; Manteuffel, T. A.; Mccormick, S. F.; Miller, K.; Pearson, J.; Ruge, J.; Sanders, G. Smoothed aggregation multigrid for Markov chains. (English) Zbl 1209.65011 SIAM J. Sci. Comput. 32, No. 1, 40-61 (2010). MSC: 65C40 60J22 65F10 65F50 15B51 65F15 PDFBibTeX XMLCite \textit{H. De Sterck} et al., SIAM J. Sci. Comput. 32, No. 1, 40--61 (2010; Zbl 1209.65011) Full Text: DOI
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G. Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. (English) Zbl 1210.65075 SIAM J. Sci. Comput. 32, No. 1, 14-39 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N55 65F50 PDFBibTeX XMLCite \textit{M. Brezina} et al., SIAM J. Sci. Comput. 32, No. 1, 14--39 (2010; Zbl 1210.65075) Full Text: DOI
Heys, J. J.; Lee, E.; Manteuffel, T. A.; Mccormick, S. F.; Ruge, J. W. Enhanced mass conservation in least-squares methods for Navier-Stokes equations. (English) Zbl 1188.76195 SIAM J. Sci. Comput. 31, No. 3, 2303-2321 (2009). MSC: 76D05 65F10 65N30 PDFBibTeX XMLCite \textit{J. J. Heys} et al., SIAM J. Sci. Comput. 31, No. 3, 2303--2321 (2009; Zbl 1188.76195) Full Text: DOI
de Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Nguyen, Quoc; Ruge, John Multilevel adaptive aggregation for Markov chains, with application to web ranking. (English) Zbl 1173.65028 SIAM J. Sci. Comput. 30, No. 5, 2235-2262 (2008). MSC: 65F15 65C40 60J22 65F10 15B51 65F50 68P10 PDFBibTeX XMLCite \textit{H. de Sterck} et al., SIAM J. Sci. Comput. 30, No. 5, 2235--2262 (2008; Zbl 1173.65028) Full Text: DOI
Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. Spatial multigrid for isotropic neutron transport. (English) Zbl 1149.65100 SIAM J. Sci. Comput. 29, No. 5, 1900-1917 (2007). MSC: 65R20 45K05 82D75 PDFBibTeX XMLCite \textit{B. Chang} et al., SIAM J. Sci. Comput. 29, No. 5, 1900--1917 (2007; Zbl 1149.65100) Full Text: DOI Link
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. On mass-conserving least-squares methods. (English) Zbl 1388.76052 SIAM J. Sci. Comput. 28, No. 5, 1675-1693 (2006). MSC: 76D05 76M10 65F10 65N55 PDFBibTeX XMLCite \textit{J. J. Heys} et al., SIAM J. Sci. Comput. 28, No. 5, 1675--1693 (2006; Zbl 1388.76052) Full Text: DOI
Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J. Adaptive algebraic multigrid. (English) Zbl 1100.65025 SIAM J. Sci. Comput. 27, No. 4, 1261-1286 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N55 65F30 PDFBibTeX XMLCite \textit{M. Brezina} et al., SIAM J. Sci. Comput. 27, No. 4, 1261--1286 (2006; Zbl 1100.65025) Full Text: DOI Link
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation. (English) Zbl 1083.65092 SIAM J. Sci. Comput. 26, No. 5, 1573-1597 (2005). Reviewer: János Karátson (Budapest) MSC: 65M60 35Q53 35L65 65M12 PDFBibTeX XMLCite \textit{H. De Sterck} et al., SIAM J. Sci. Comput. 26, No. 5, 1573--1597 (2005; Zbl 1083.65092) Full Text: DOI
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. (English) Zbl 1105.65346 SIAM J. Sci. Comput. 26, No. 1, 31-54 (2004). MSC: 65M60 65M55 65M12 35L15 PDFBibTeX XMLCite \textit{H. De Sterck} et al., SIAM J. Sci. Comput. 26, No. 1, 31--54 (2004; Zbl 1105.65346) Full Text: DOI
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. Adaptive smoothed aggregation (\(\alpha\)SA). (English) Zbl 1061.65135 SIAM J. Sci. Comput. 25, No. 6, 1896-1920 (2004). MSC: 65N55 35J25 65N30 65F10 65N12 PDFBibTeX XMLCite \textit{M. Brezina} et al., SIAM J. Sci. Comput. 25, No. 6, 1896--1920 (2004; Zbl 1061.65135) Full Text: DOI
Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J. Asynchronous fast adaptive composite-grid methods: Numerical results. (English) Zbl 1045.65111 SIAM J. Sci. Comput. 25, No. 2, 682-700 (2003). MSC: 65N50 65F10 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{B. Lee} et al., SIAM J. Sci. Comput. 25, No. 2, 682--700 (2003; Zbl 1045.65111) Full Text: DOI
Chartier, T.; Falgout, R. D.; Henson, V. E.; Jones, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Vassilevski, P. S. Spectral AMGe (\(\rho\)AMGe). (English) Zbl 1057.65096 SIAM J. Sci. Comput. 25, No. 1, 1-26 (2003). Reviewer: Ronald H. W. Hoppe (Augsburg) MSC: 65N55 65N30 65N35 65F10 35J25 PDFBibTeX XMLCite \textit{T. Chartier} et al., SIAM J. Sci. Comput. 25, No. 1, 1--26 (2003; Zbl 1057.65096) Full Text: DOI
Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R. A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. (English) Zbl 0970.76069 SIAM J. Sci. Comput. 21, No. 6, 2381-2395 (2000). Reviewer: Qin Mengzhao (Beijing) MSC: 76M20 76B15 86A05 65M55 PDFBibTeX XMLCite \textit{J. W. Ruge} et al., SIAM J. Sci. Comput. 21, No. 6, 2381--2395 (2000; Zbl 0970.76069) Full Text: DOI
Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. First-order system least-squares for the Helmholtz equation. (English) Zbl 0957.65097 SIAM J. Sci. Comput. 21, No. 5, 1927-1949 (2000). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N30 65F10 65F20 65N12 35J05 65N55 PDFBibTeX XMLCite \textit{B. Lee} et al., SIAM J. Sci. Comput. 21, No. 5, 1927--1949 (2000; Zbl 0957.65097) Full Text: DOI
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F. First-order system least squares for the Stokes and linear elasticity equations: Further results. (English) Zbl 0968.76035 SIAM J. Sci. Comput. 21, No. 5, 1728-1739 (2000). Reviewer: Michael Sever (Jerusalem) MSC: 76M10 74S05 76D07 74B05 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Sci. Comput. 21, No. 5, 1728--1739 (2000; Zbl 0968.76035) Full Text: DOI
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F. First-order system least squares for linear elasticity: Numerical results. (English) Zbl 0988.74061 SIAM J. Sci. Comput. 21, No. 5, 1706-1727 (2000). Reviewer: N.Herrmann (Hannover) MSC: 74S05 74B05 65F10 65N55 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Sci. Comput. 21, No. 5, 1706--1727 (2000; Zbl 0988.74061) Full Text: DOI
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F. First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. (English) Zbl 0911.65108 SIAM J. Sci. Comput. 19, No. 6, 1958-1979 (1998). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 35B25 65N50 35J25 65F10 PDFBibTeX XMLCite \textit{J. M. Fiard} et al., SIAM J. Sci. Comput. 19, No. 6, 1958--1979 (1998; Zbl 0911.65108) Full Text: DOI
Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. A fast multigrid algorithm for isotropic transport problems. II: With absorption. (English) Zbl 0859.65101 SIAM J. Sci. Comput. 17, No. 6, 1449-1474 (1996). Reviewer: Ll.G.Chambers (Bangor) MSC: 65M60 65M55 65M12 65M15 35K05 65F10 80A20 PDFBibTeX XMLCite \textit{T. Manteuffel} et al., SIAM J. Sci. Comput. 17, No. 6, 1449--1474 (1996; Zbl 0859.65101) Full Text: DOI
Henson, Van Emden; Limber, Mark A.; McCormick, Stephen F.; Robinson, Bruce T. Multilevel image reconstruction with natural pixels. (English) Zbl 0838.92016 SIAM J. Sci. Comput. 17, No. 1, 193-216 (1996). MSC: 92C55 44A12 65R10 65N55 46N60 PDFBibTeX XMLCite \textit{V. E. Henson} et al., SIAM J. Sci. Comput. 17, No. 1, 193--216 (1996; Zbl 0838.92016) Full Text: DOI Link
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. (English) Zbl 0824.65097 SIAM J. Sci. Comput. 16, No. 3, 601-635 (1995). Reviewer: Ll.G.Chambers (Bangor) MSC: 65M60 65M12 65M15 65M55 65F10 35K05 PDFBibTeX XMLCite \textit{T. Manteuffel} et al., SIAM J. Sci. Comput. 16, No. 3, 601--635 (1995; Zbl 0824.65097) Full Text: DOI
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. A parallel version of a multigrid algorithm for isotropic transport equations. (English) Zbl 0799.65154 SIAM J. Sci. Comput. 15, No. 2, 474-493 (1994). Reviewer: P.Matus (Minsk) MSC: 65R20 65Y05 45K05 82C70 PDFBibTeX XMLCite \textit{T. Manteuffel} et al., SIAM J. Sci. Comput. 15, No. 2, 474--493 (1994; Zbl 0799.65154) Full Text: DOI Link