Nonsymmetric Reduction-Based Algebraic Multigrid.

John W. Ruge

Thomas A. Manteuffel Steffen Münzenmaier John W. Ruge Ben S. Southworth Nonsymmetric Reduction-Based Algebraic Multigrid. S242-S268 2019 41 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/18M1193761 https://www.wikidata.org/entity/Q126856495 db/journals/siamsc/siamsc41.html#ManteuffelMRS19

Thomas A. Manteuffel John W. Ruge Ben S. Southworth Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (ℓAIR). A4105-A4130 2018 40 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/17M1144350 db/journals/siamsc/siamsc40.html#ManteuffelRS18

David J. Appelhans Tom Manteuffel Stephen F. McCormick John W. Ruge A low-communication, parallel algorithm for solving PDEs based on range decomposition. 2017 24 Numer. Linear Algebra Appl. 3 https://doi.org/10.1002/nla.2041 db/journals/nla/nla24.html#AppelhansMMR17

Klaus Stüben John W. Ruge Tanja Clees Sebastian Gries Algebraic Multigrid: From Academia to Industry. 83-119 2017 Scientific Computing and Algorithms in Industrial Simulations https://doi.org/10.1007/978-3-319-62458-7_5 books/sp/17/GSS2017 db/books/collections/GSS2017.html#StubenRCG17

R. Bank Robert D. Falgout Toby Jones Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD). 2015 37 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/140974717 db/journals/siamsc/siamsc37.html#BankFJMMR15

Marian Brezina Alireza Doostan Tom Manteuffel Steve F. McCormick John W. Ruge Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. 239-255 2014 21 Numer. Linear Algebra Appl. 2 https://doi.org/10.1002/nla.1924 db/journals/nla/nla21.html#BrezinaDMMR14

Kuo Liu Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Lei Tang Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations. 2214-2237 2013 51 SIAM J. Numer. Anal. 4 https://doi.org/10.1137/120868906 db/journals/siamnum/siamnum51.html#LiuMMRT13

James H. Adler Marian Brezina Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Lei Tang Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics. 2013 35 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/120880227 db/journals/siamsc/siamsc35.html#AdlerBMMRT13

Travis M. Austin Marian Brezina Ben Jamroz Chetan Jhurani Thomas A. Manteuffel John W. Ruge Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes. 4694-4708 2012 231 J. Comput. Phys. 14 https://doi.org/10.1016/j.jcp.2012.03.013 db/journals/jcphy/jcphy231.html#AustinBJJMR12

Marian Brezina Christian Ketelsen Thomas A. Manteuffel Stephen F. McCormick Minho Park 0006 John W. Ruge Relaxation-corrected bootstrap algebraic multigrid (rBAMG). 178-193 2012 19 Numer. Linear Algebra Appl. 2 https://doi.org/10.1002/nla.1821 db/journals/nla/nla19.html#BrezinaKMMPR12

Marian Brezina José García Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Lei Tang Parallel adaptive mesh refinement for first-order system least squares. 343-366 2012 19 Numer. Linear Algebra Appl. 2 https://doi.org/10.1002/nla.1820 db/journals/nla/nla19.html#BrezinaGMMRT12

J. H. Adler Thomas A. Manteuffel Stephen F. McCormick J. W. Nolting John W. Ruge Lei Tang Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations. 1-24 2011 33 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/100786897 db/journals/siamsc/siamsc33.html#AdlerMMNRT11

Thomas A. Manteuffel Steve F. McCormick Joshua Nolting John W. Ruge Geoffrey Sanders Further results on error estimators for local refinement with first-order system least squares (FOSLS). 387-413 2010 17 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.696 db/journals/nla/nla17.html#ManteuffelMNRS10

Tom Manteuffel Steve F. McCormick Minho Park 0006 John W. Ruge Operator-based interpolation for bootstrap algebraic multigrid. 519-537 2010 17 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.711 db/journals/nla/nla17.html#ManteuffelMPR10

Christian Ketelsen Tom Manteuffel Steve F. McCormick John W. Ruge Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field. 539-556 2010 17 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.709 db/journals/nla/nla17.html#KetelsenMMR10

Marian Brezina Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Geoffrey Sanders Towards Adaptive Smoothed Aggregation (AlphaSA) for Nonsymmetric Problems. 14-39 2010 32 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/080727336 db/journals/siamsc/siamsc32.html#BrezinaMMRS10

Hans De Sterck Thomas A. Manteuffel Stephen F. McCormick Killian Miller J. Pearson John W. Ruge Geoffrey Sanders Smoothed Aggregation Multigrid for Markov Chains. 40-61 2010 32 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/080719157 db/journals/siamsc/siamsc32.html#SterckMMMPRS10

J. H. Adler Thomas A. Manteuffel Stephen F. McCormick John W. Ruge First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics. 229-248 2010 32 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/080727282 db/journals/siamsc/siamsc32.html#AdlerMMR10

Hans De Sterck Thomas A. Manteuffel Stephen F. McCormick Killian Miller John W. Ruge Geoffrey Sanders Algebraic Multigrid for Markov Chains. 544-562 2010 32 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/090753589 db/journals/siamsc/siamsc32.html#SterckMMMRS10

J. H. Adler Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Geoffrey D. Sanders Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics. 1506-1526 2010 32 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/090766905 db/journals/siamsc/siamsc32.html#AdlerMMRS10

Jeffrey J. Heys Eunjung Lee Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations. 2303-2321 2009 31 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/080721303 db/journals/siamsc/siamsc31.html#HeysLMMR09

J. H. Adler Thomas A. Manteuffel Stephen F. McCormick J. W. Nolting John W. Ruge Lei Tang An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamics. 1-13 2009 LSSC https://doi.org/10.1007/978-3-642-12535-5_1 conf/lssc/2009 db/conf/lssc/lssc2009.html#AdlerMMNRT09

Hans De Sterck Thomas A. Manteuffel Stephen F. McCormick Joshua Nolting John W. Ruge Lei Tang Efficiency-based h- and hp-refinement strategies for finite element methods. 89-114 2008 15 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.567 db/journals/nla/nla15.html#SterckMMNRT08

Marian Brezina Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Geoffrey Sanders Panayot S. Vassilevski A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. 249-269 2008 15 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.575 db/journals/nla/nla15.html#BrezinaMMRSV08

Hans De Sterck Thomas A. Manteuffel Stephen F. McCormick Quoc Nguyen John W. Ruge Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking. 2235-2262 2008 30 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/070685142 db/journals/siamsc/siamsc30.html#SterckMMNR08

Britton Chang Thomas A. Manteuffel Stephen F. McCormick John W. Ruge B. Sheehan Spatial Multigrid for Isotropic Neutron Transport. 1900-1917 2007 29 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/060661363 db/journals/siamsc/siamsc29.html#ChangMMRS07

James J. Brannick Marian Brezina Scott P. MacLachlan Thomas A. Manteuffel Stephen F. McCormick John W. Ruge An energy-based AMG coarsening strategy. 133-148 2006 13 Numer. Linear Algebra Appl. 2-3 https://doi.org/10.1002/nla.480 db/journals/nla/nla13.html#BrannickBMMMR06

Thomas A. Manteuffel Stephen F. McCormick Oliver Röhrle John W. Ruge Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results. 120-138 2006 44 SIAM J. Numer. Anal. 1 https://doi.org/10.1137/040617698 db/journals/siamnum/siamnum44.html#ManteuffelMRR06

Marian Brezina Robert D. Falgout Scott P. MacLachlan Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Adaptive Algebraic Multigrid. 1261-1286 2006 27 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/040614402 db/journals/siamsc/siamsc27.html#BrezinaFMMMR06

Thomas A. Manteuffel Stephen F. McCormick John W. Ruge J. G. Schmidt First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane. 2098-2120 2005 43 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/S0036142903430402 db/journals/siamnum/siamnum43.html#ManteuffelMRS05

Marian Brezina Robert D. Falgout Scott P. MacLachlan Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Adaptive Smoothed Aggregation (AlphaSA) Multigrid. 317-346 2005 47 SIAM Rev. 2 https://doi.org/10.1137/050626272 db/journals/siamrev/siamrev47.html#BrezinaFMMMR05

Marian Brezina Robert D. Falgout Scott P. MacLachlan Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Adaptive Smoothed Aggregation (αSA). 1896-1920 2004 25 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/S1064827502418598 db/journals/siamsc/siamsc25.html#BrezinaFMMMR04

A. L. Codd Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Multilevel First-Order System Least Squares for Elliptic Grid Generation. 2210-2232 2003 41 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/S0036142902404418 db/journals/siamnum/siamnum41.html#CoddMMR03

Tim Chartier Robert D. Falgout Van Enden Henson Jim E. Jones Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Panayot S. Vassilevski Spectral AMGe (ρAMGe). 1-26 2003 25 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/S106482750139892X db/journals/siamsc/siamsc25.html#ChartierFHJMMRV03

Zhiqiang Cai 0001 Thomas A. Manteuffel Stephen F. McCormick John W. Ruge First-Order System \CL\CL* (FOSLL*): Scalar Elliptic Partial Differential Equations. 1418-1445 2001 39 SIAM J. Numer. Anal. 4 https://doi.org/10.1137/S0036142900388049 db/journals/siamnum/siamnum39.html#CaiMMR01

Marian Brezina Andrew J. Cleary Robert D. Falgout Van Enden Henson Jim E. Jones Thomas A. Manteuffel Stephen F. McCormick John W. Ruge Algebraic Multigrid Based on Element Interpolation (AMGe). 1570-1592 2001 22 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/S1064827598344303 db/journals/siamsc/siamsc22.html#BrezinaCFHJMMR01

Andrew J. Cleary Robert D. Falgout Van Emden Henson Jim E. Jones Thomas A. Manteuffel Stephen F. McCormick Gerald N. Miranda John W. Ruge Robustness and Scalability of Algebraic Multigrid. 1886-1908 2000 21 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/S1064827598339402 db/journals/siamsc/siamsc21.html#ClearyFEJMMMR00

Barry Lee Thomas A. Manteuffel Stephen F. McCormick John W. Ruge First-Order System Least-Squares for the Helmholtz Equation. 1927-1949 2000 21 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/S1064827598339773 db/journals/siamsc/siamsc21.html#LeeMMR00

John W. Ruge Yong Li Steve F. McCormick Achi Brandt J. R. Bates A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere. 2381-2395 2000 21 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/S1064827595284841 db/journals/siamsc/siamsc21.html#RugeLMBB00

J. H. AdlerJames H. Adler David AppelhansDavid J. Appelhans Travis M. Austin R. Bank J. R. Bates Achi Brandt James J. Brannick Marian Brezina Zhiqiang Cai 0001 Britton Chang Tim Chartier Andrew J. Cleary Tanja Clees A. L. Codd Alireza Doostan Robert D. Falgout José García Sebastian Gries Van Emden Henson Van Enden Henson Jeffrey J. Heys Ben Jamroz Chetan Jhurani Jim E. Jones Toby Jones Christian Ketelsen Barry Lee Eunjung Lee Yong Li Kuo Liu Scott P. MacLachlan Thomas A. ManteuffelTom Manteuffel Stephen F. McCormickSteve F. McCormick Killian Miller Gerald N. Miranda Steffen Münzenmaier Quoc Nguyen J. W. NoltingJoshua Nolting Minho Park 0006 J. Pearson Oliver Röhrle Geoffrey SandersGeoffrey D. Sanders J. G. Schmidt B. Sheehan Ben S. Southworth Hans De Sterck Klaus Stüben Lei Tang Panayot S. Vassilevski