Chaabi, Omar; Kobaisi, Mohammed Al Algorithmic monotone multiscale finite volume methods for porous media flow. (English) Zbl 07819077 J. Comput. Phys. 499, Article ID 112739, 24 p. (2024). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{O. Chaabi} and \textit{M. A. Kobaisi}, J. Comput. Phys. 499, Article ID 112739, 24 p. (2024; Zbl 07819077) Full Text: DOI arXiv
Liu, Chang; Henshaw, William Multigrid with nonstandard coarse-level operators and coarsening factors. (English) Zbl 07698822 J. Sci. Comput. 94, No. 3, Paper No. 58, 27 p. (2023). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{C. Liu} and \textit{W. Henshaw}, J. Sci. Comput. 94, No. 3, Paper No. 58, 27 p. (2023; Zbl 07698822) Full Text: DOI
Fu, Kejie; Liao, Mingjie; Wang, Yangshuai; Chen, Jianjun; Zhang, Lei Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics. (English) Zbl 07690214 J. Comput. Phys. 485, Article ID 112113, 18 p. (2023). MSC: 65Nxx 90Cxx 82Dxx PDFBibTeX XMLCite \textit{K. Fu} et al., J. Comput. Phys. 485, Article ID 112113, 18 p. (2023; Zbl 07690214) Full Text: DOI arXiv
Brannick, James; Cao, Shuhao A bootstrap multigrid eigensolver. (English) Zbl 1504.65248 SIAM J. Matrix Anal. Appl. 43, No. 4, 1627-1657 (2022). MSC: 65N25 65N30 65N55 58C40 PDFBibTeX XMLCite \textit{J. Brannick} and \textit{S. Cao}, SIAM J. Matrix Anal. Appl. 43, No. 4, 1627--1657 (2022; Zbl 1504.65248) Full Text: DOI arXiv
Weymouth, Gabriel D. Data-driven multi-grid solver for accelerated pressure projection. (English) Zbl 1521.76760 Comput. Fluids 246, Article ID 105620, 7 p. (2022). MSC: 76M99 65F10 PDFBibTeX XMLCite \textit{G. D. Weymouth}, Comput. Fluids 246, Article ID 105620, 7 p. (2022; Zbl 1521.76760) Full Text: DOI arXiv
Franceschini, Andrea; Gazzola, Laura; Ferronato, Massimiliano A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures. (English) Zbl 07536775 J. Comput. Phys. 463, Article ID 111276, 22 p. (2022). MSC: 65Fxx 65Nxx 74Sxx PDFBibTeX XMLCite \textit{A. Franceschini} et al., J. Comput. Phys. 463, Article ID 111276, 22 p. (2022; Zbl 07536775) Full Text: DOI arXiv
Franceschini, Andrea; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A. Scalable preconditioning for the stabilized contact mechanics problem. (English) Zbl 07525141 J. Comput. Phys. 459, Article ID 111150, 32 p. (2022). MSC: 65Nxx 65Fxx 74Sxx PDFBibTeX XMLCite \textit{A. Franceschini} et al., J. Comput. Phys. 459, Article ID 111150, 32 p. (2022; Zbl 07525141) Full Text: DOI
Gottschalk, Hanno; Kahl, Karsten Coarsening in algebraic multigrid using Gaussian processes. (English) Zbl 07436828 ETNA, Electron. Trans. Numer. Anal. 54, 514-533 (2021). MSC: 65F08 65F10 65N22 65N55 60G15 PDFBibTeX XMLCite \textit{H. Gottschalk} and \textit{K. Kahl}, ETNA, Electron. Trans. Numer. Anal. 54, 514--533 (2021; Zbl 07436828) Full Text: DOI arXiv Link
Miraçi, Ani; Papež, Jan; Vohralík, Martin Contractive local adaptive smoothing based on Dörfler’s marking in a-posteriori-steered \(p\)-robust multigrid solvers. (English) Zbl 1476.65327 Comput. Methods Appl. Math. 21, No. 2, 445-468 (2021). MSC: 65N55 65N30 65F10 65N15 65N22 PDFBibTeX XMLCite \textit{A. Miraçi} et al., Comput. Methods Appl. Math. 21, No. 2, 445--468 (2021; Zbl 1476.65327) Full Text: DOI
Hu, Xiaozhe; Wu, Kaiyi; Zikatanov, Ludmil T. A posteriori error estimates for multilevel methods for graph Laplacians. (English) Zbl 1481.65257 SIAM J. Sci. Comput. 43, No. 5, S727-S742 (2021). MSC: 65N55 65K10 65F10 05C50 PDFBibTeX XMLCite \textit{X. Hu} et al., SIAM J. Sci. Comput. 43, No. 5, S727--S742 (2021; Zbl 1481.65257) Full Text: DOI arXiv
Isotton, Giovanni; Frigo, Matteo; Spiezia, Nicolò; Janna, Carlo Chronos: a general purpose classical AMG solver for high performance computing. (English) Zbl 1487.65032 SIAM J. Sci. Comput. 43, No. 5, C335-C357 (2021). MSC: 65F08 65F10 65F50 65N55 65Y05 68W10 PDFBibTeX XMLCite \textit{G. Isotton} et al., SIAM J. Sci. Comput. 43, No. 5, C335--C357 (2021; Zbl 1487.65032) Full Text: DOI arXiv
Zhang, Ning; Han, Xiaole; He, Yunhui; Xie, Hehu; You, Chun’guang An algebraic multigrid method for eigenvalue problems and its numerical tests. (English) Zbl 1468.65181 East Asian J. Appl. Math. 11, No. 1, 1-19 (2021). MSC: 65N25 65N55 65N30 PDFBibTeX XMLCite \textit{N. Zhang} et al., East Asian J. Appl. Math. 11, No. 1, 1--19 (2021; Zbl 1468.65181) Full Text: DOI
Katrutsa, Alexandr; Daulbaev, Talgat; Oseledets, Ivan Black-box learning of multigrid parameters. (English) Zbl 1440.65265 J. Comput. Appl. Math. 368, Article ID 112524, 12 p. (2020). MSC: 65N55 65N06 65K10 68T05 62L20 35J05 PDFBibTeX XMLCite \textit{A. Katrutsa} et al., J. Comput. Appl. Math. 368, Article ID 112524, 12 p. (2020; Zbl 1440.65265) Full Text: DOI
Hu, Xiaozhe; Lin, Junyuan; Zikatanov, Ludmil T. An adaptive multigrid method based on path cover. (English) Zbl 1428.65106 SIAM J. Sci. Comput. 41, No. 5, S220-S241 (2019). MSC: 65N55 65F10 65F35 PDFBibTeX XMLCite \textit{X. Hu} et al., SIAM J. Sci. Comput. 41, No. 5, S220--S241 (2019; Zbl 1428.65106) Full Text: DOI arXiv
Paludetto Magri, Victor A.; Franceschini, Andrea; Janna, Carlo A novel algebraic multigrid approach based on adaptive smoothing and prolongation for ill-conditioned systems. (English) Zbl 1433.65069 SIAM J. Sci. Comput. 41, No. 1, A190-A219 (2019). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F08 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{V. A. Paludetto Magri} et al., SIAM J. Sci. Comput. 41, No. 1, A190--A219 (2019; Zbl 1433.65069) Full Text: DOI
Shen, Zhao-Li; Huang, Ting-Zhu; Carpentieri, Bruno; Wen, Chun; Gu, Xian-Ming Block-accelerated aggregation multigrid for Markov chains with application to PageRank problems. (English) Zbl 1510.94105 Commun. Nonlinear Sci. Numer. Simul. 59, 472-487 (2018). MSC: 94C30 65C40 PDFBibTeX XMLCite \textit{Z.-L. Shen} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 472--487 (2018; Zbl 1510.94105) Full Text: DOI Link
Kahl, Karsten; Rottmann, Matthias Least angle regression coarsening in bootstrap algebraic multigrid. (English) Zbl 1403.62135 SIAM J. Sci. Comput. 40, No. 6, A3928-A3954 (2018). MSC: 62J07 65F08 65F10 65K10 65N22 65N55 PDFBibTeX XMLCite \textit{K. Kahl} and \textit{M. Rottmann}, SIAM J. Sci. Comput. 40, No. 6, A3928--A3954 (2018; Zbl 1403.62135) Full Text: DOI arXiv
Brannick, James; Cao, Fei; Kahl, Karsten; Falgout, Robert D.; Hu, Xiaozhe Optimal interpolation and compatible relaxation in classical algebraic multigrid. (English) Zbl 1448.65258 SIAM J. Sci. Comput. 40, No. 3, A1473-A1493 (2018). MSC: 65N55 65F10 65N22 65N12 65D05 PDFBibTeX XMLCite \textit{J. Brannick} et al., SIAM J. Sci. Comput. 40, No. 3, A1473--A1493 (2018; Zbl 1448.65258) Full Text: DOI arXiv
Volkov, K. N.; Kozelkov, A. S.; Lashkin, S. V.; Tarasova, N. V.; Yalozo, A. V. A parallel implementation of the algebraic multigrid method for solving problems in dynamics of viscous incompressible fluid. (English. Russian original) Zbl 1444.76045 Comput. Math. Math. Phys. 57, No. 12, 2030-2046 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2079-2097 (2017). MSC: 76D05 65M55 65Y05 PDFBibTeX XMLCite \textit{K. N. Volkov} et al., Comput. Math. Math. Phys. 57, No. 12, 2030--2046 (2017; Zbl 1444.76045); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2079--2097 (2017) Full Text: DOI
Xu, Jinchao; Zikatanov, Ludmil Algebraic multigrid methods. (English) Zbl 1378.65182 Acta Numerica 26, 591-721 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65N55 65F10 PDFBibTeX XMLCite \textit{J. Xu} and \textit{L. Zikatanov}, Acta Numerica 26, 591--721 (2017; Zbl 1378.65182) Full Text: DOI arXiv
Manteuffel, Thomas A.; Olson, Luke N.; Schroder, Jacob B.; Southworth, Ben S. A root-node-based algebraic multigrid method. (English) Zbl 1392.65064 SIAM J. Sci. Comput. 39, No. 5, S723-S756 (2017). MSC: 65F10 65M22 65M55 PDFBibTeX XMLCite \textit{T. A. Manteuffel} et al., SIAM J. Sci. Comput. 39, No. 5, S723--S756 (2017; Zbl 1392.65064) Full Text: DOI arXiv
Xu, Xiaowen; Mo, Zeyao Algebraic interface-based coarsening AMG preconditioner for multi-scale sparse matrices with applications to radiation hydrodynamics computation. (English) Zbl 1413.65081 Numer. Linear Algebra Appl. 24, No. 2, e2078, 18 p. (2017). Reviewer: Ivana Pultarová (Praha) MSC: 65F10 65F08 65F50 65Y05 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Z. Mo}, Numer. Linear Algebra Appl. 24, No. 2, e2078, 18 p. (2017; Zbl 1413.65081) Full Text: DOI
Gratton, Serge; Hénon, Pascal; Jiránek, Pavel; Vasseur, Xavier Reducing complexity of algebraic multigrid by aggregation. (English) Zbl 1413.65444 Numer. Linear Algebra Appl. 23, No. 3, 501-518 (2016). Reviewer: Michael Jung (Dresden) MSC: 65N55 65Y05 PDFBibTeX XMLCite \textit{S. Gratton} et al., Numer. Linear Algebra Appl. 23, No. 3, 501--518 (2016; Zbl 1413.65444) Full Text: DOI
Dell’Acqua, Pietro; Frangioni, Antonio; Serra-Capizzano, Stefano Accelerated multigrid for graph Laplacian operators. (English) Zbl 1410.65099 Appl. Math. Comput. 270, 193-215 (2015). MSC: 65F10 05C50 15A12 PDFBibTeX XMLCite \textit{P. Dell'Acqua} et al., Appl. Math. Comput. 270, 193--215 (2015; Zbl 1410.65099) Full Text: DOI Link
Shen, Zhao-Li; Huang, Ting-Zhu; Carpentieri, Bruno; Wen, Chun A cost-effective smoothed multigrid with modified neighborhood-based aggregation for Markov chains. (English) Zbl 1394.65007 Math. Probl. Eng. 2015, Article ID 816935, 15 p. (2015). MSC: 65C40 60J22 PDFBibTeX XMLCite \textit{Z.-L. Shen} et al., Math. Probl. Eng. 2015, Article ID 816935, 15 p. (2015; Zbl 1394.65007) Full Text: DOI
Dell’Acqua, Pietro; Frangioni, Antonio; Serra-Capizzano, Stefano Computational evaluation of multi-iterative approaches for solving graph-structured large linear systems. (English) Zbl 1329.65069 Calcolo 52, No. 4, 425-444 (2015). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{P. Dell'Acqua} et al., Calcolo 52, No. 4, 425--444 (2015; Zbl 1329.65069) Full Text: DOI Link
Yang, Yidu; Bi, Hai; Han, Jiayu; Yu, Yuanyuan The shifted-inverse iteration based on the multigrid discretizations for eigenvalue problems. (English) Zbl 1327.65229 SIAM J. Sci. Comput. 37, No. 6, A2583-A2606 (2015). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Yang} et al., SIAM J. Sci. Comput. 37, No. 6, A2583--A2606 (2015; Zbl 1327.65229) Full Text: DOI
Livshits, I. Multiple Galerkin adaptive algebraic multigrid algorithm for the Helmholtz equations. (English) Zbl 1457.65240 SIAM J. Sci. Comput. 37, No. 5, S195-S215 (2015). MSC: 65N55 65N30 65N22 65F08 65F10 PDFBibTeX XMLCite \textit{I. Livshits}, SIAM J. Sci. Comput. 37, No. 5, S195--S215 (2015; Zbl 1457.65240) Full Text: DOI
MacLachlan, Scott P.; Olson, Luke N. Theoretical bounds for algebraic multigrid performance: review and analysis. (English) Zbl 1340.65302 Numer. Linear Algebra Appl. 21, No. 2, 194-220 (2014). MSC: 65N55 65F10 65F50 PDFBibTeX XMLCite \textit{S. P. MacLachlan} and \textit{L. N. Olson}, Numer. Linear Algebra Appl. 21, No. 2, 194--220 (2014; Zbl 1340.65302) Full Text: DOI
D’Ambra, Pasqua; Vassilevski, Panayot S. Adaptive AMG with coarsening based on compatible weighted matching. (English) Zbl 1376.65038 Comput. Vis. Sci. 16, No. 2, 59-76 (2013). MSC: 65F10 65N55 PDFBibTeX XMLCite \textit{P. D'Ambra} and \textit{P. S. Vassilevski}, Comput. Vis. Sci. 16, No. 2, 59--76 (2013; Zbl 1376.65038) Full Text: DOI Link
Pu, Bing-Yuan; Huang, Ting-Zhu; Wen, Chun; Lin, Yi-Qin The extrapolation-accelerated multilevel aggregation method in PageRank computation. (English) Zbl 1299.68008 Math. Probl. Eng. 2013, Article ID 525313, 8 p. (2013). MSC: 68M11 15-04 15B15 65F99 PDFBibTeX XMLCite \textit{B.-Y. Pu} et al., Math. Probl. Eng. 2013, Article ID 525313, 8 p. (2013; Zbl 1299.68008) Full Text: DOI
Ferronato, Massimiliano Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives. (English) Zbl 1264.65037 ISRN Appl. Math. 2012, Article ID 127647, 49 p. (2012). MSC: 65F08 65F10 65-03 01A61 65-02 PDFBibTeX XMLCite \textit{M. Ferronato}, ISRN Appl. Math. 2012, Article ID 127647, 49 p. (2012; Zbl 1264.65037) Full Text: DOI
MacLachlan, S. P.; Moulton, J. D.; Chartier, T. P. Robust and adaptive multigrid methods: comparing structured and algebraic approaches. (English) Zbl 1274.65322 Numer. Linear Algebra Appl. 19, No. 2, 389-413 (2012). Reviewer: Irad Yavneh (Haifa) MSC: 65N55 PDFBibTeX XMLCite \textit{S. P. MacLachlan} et al., Numer. Linear Algebra Appl. 19, No. 2, 389--413 (2012; Zbl 1274.65322) Full Text: DOI
Brezina, M.; Ketelsen, C.; Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). (English) Zbl 1274.65269 Numer. Linear Algebra Appl. 19, No. 2, 178-193 (2012). Reviewer: Scott P. MacLachlan (Medford) MSC: 65M55 65F10 81V05 35Q40 PDFBibTeX XMLCite \textit{M. Brezina} et al., Numer. Linear Algebra Appl. 19, No. 2, 178--193 (2012; Zbl 1274.65269) Full Text: DOI
De Sterck, H.; Miller, K.; Treister, E.; Yavneh, I. Fast multilevel methods for Markov chains. (English) Zbl 1265.65009 Numer. Linear Algebra Appl. 18, No. 6, 961-980 (2011). Reviewer: Ivana Pultarová (Praha) MSC: 65C40 60J22 PDFBibTeX XMLCite \textit{H. De Sterck} et al., Numer. Linear Algebra Appl. 18, No. 6, 961--980 (2011; Zbl 1265.65009) Full Text: DOI
De Sterck, H.; Miller, K.; Manteuffel, T.; Sanders, G. Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains. (English) Zbl 1230.65013 Adv. Comput. Math. 35, No. 2-4, 375-403 (2011). MSC: 65C40 60J22 65F15 PDFBibTeX XMLCite \textit{H. De Sterck} et al., Adv. Comput. Math. 35, No. 2--4, 375--403 (2011; Zbl 1230.65013) Full Text: DOI
Nash, Stephen G.; Lewis, Robert Michael Assessing the performance of an optimization-based multilevel method. (English) Zbl 1228.65091 Optim. Methods Softw. 26, No. 4-5, 693-717 (2011). MSC: 65K05 90C06 90C30 65N55 PDFBibTeX XMLCite \textit{S. G. Nash} and \textit{R. M. Lewis}, Optim. Methods Softw. 26, No. 4--5, 693--717 (2011; Zbl 1228.65091) Full Text: DOI
Dendy, J. E. jun.; Moulton, J. D. Black box multigrid with coarsening by a factor of three. (English) Zbl 1242.65265 Numer. Linear Algebra Appl. 17, No. 2-3, 577-598 (2010). Reviewer: Vít Vondrák (Ostrava) MSC: 65N55 35J20 35J05 65N06 65N30 PDFBibTeX XMLCite \textit{J. E. Dendy jun.} and \textit{J. D. Moulton}, Numer. Linear Algebra Appl. 17, No. 2--3, 577--598 (2010; Zbl 1242.65265) Full Text: DOI
Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. Operator-based interpolation for bootstrap algebraic multigrid. (English) Zbl 1240.65115 Numer. Linear Algebra Appl. 17, No. 2-3, 519-537 (2010). Reviewer: Petr Přikryl (Praha) MSC: 65F10 65N55 PDFBibTeX XMLCite \textit{T. Manteuffel} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 519--537 (2010; Zbl 1240.65115) Full Text: DOI
Karer, E.; Kraus, J. K. Algebraic multigrid for finite element elasticity equations: determination of nodal dependence via edge-matrices and two-level convergence. (English) Zbl 1197.74181 Int. J. Numer. Methods Eng. 83, No. 5, 642-670 (2010). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{E. Karer} and \textit{J. K. Kraus}, Int. J. Numer. Methods Eng. 83, No. 5, 642--670 (2010; Zbl 1197.74181) Full Text: DOI
Liu, Qunfeng; Zeng, Jinping Convergence analysis of multigrid methods with residual scaling techniques. (English) Zbl 1198.65062 J. Comput. Appl. Math. 234, No. 10, 2932-2942 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65N55 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{J. Zeng}, J. Comput. Appl. Math. 234, No. 10, 2932--2942 (2010; Zbl 1198.65062) Full Text: DOI