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Algebraic multigrid is an iterative method that is often optimal for solving the matrix equations that arise in a wide variety of applications, including discretized partial differential equations.
Algebraic multigrid (AMG) for automatic multigrid solution with application to geodetic computations
A. Brandt, S. McCormick, and J. W. Ruge · 1983
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Algebraic multigrid (AMG) for sparse matrix equations
A. Brandt, S. McCormick, and J. Ruge · 1984
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Algebraic multigrid theory: The symmetric case
A. Brandt · 1986
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Algebraic multigrid (AMG)
J. W. Ruge and K. Stüben · 1987
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Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
P. Vaněk, J. Mandel, and M. Brezina · 1996
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Parallel preconditioning with sparse approximate inverses
M.J. Grote and T. Huckle · 1997
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Coarse-grid selection for parallel algebraic multigrid
A.J. Cleary, R.D. Falgout, V.E. Henson, and J.E. Jones · 1998
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Algebraic multigrid based on element interpolation (AMGe)
M. Brezina, A.J. Cleary, R.D. Falgout, V.E. Henson, J.E. Jones, T.A. Manteuffel, S.F. McCormick, and J.W. Ruge · 2000
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A Multigrid Tutorial
W. L. Briggs, V. E. Henson, and S. F. McCormick · 2000
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General highly accurate algebraic coarsening
A. Brandt · 2000
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Multiscale scientific computation: Review 2001
A. Brandt · 2001
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Numerical experiments with algebraic multilevel preconditioners
G. A. Meurant · 2001
Cited alongside, same era.
An introduction to algebraic multigrid
K. Stüben · 2001
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BoomerAMG: a parallel algebraic multigrid solver and preconditioner
V.E. Henson and U.M. Yang · 2002
Cited alongside, same era.
Parallel Multigrid Methods using Sparse Approximate Inverses
O. Broker · 2003
Cited alongside, same era.
Spectral AMGe (
T. Chartier, R.D. Falgout, V.E. Henson, J.E. Jones, T.A. Manteuffel, S.F. McCormick, J.W. Ruge, and P.S. Vassilevski · 2003
Cited alongside, same era.
An unstructured multigrid method based on geometric smoothness
E. Chow · 2003
Cited alongside, same era.
Algebraic multigrid methods based on compatible relaxation and energy minimization
J. Brannick and L.Zikatanov · 2007
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Adaptive Algebraic Multigrid for Lattice QCD Computations
K. Kahl · 2009
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Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations
P. Vassilevski · 2009
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Bootstrap AMG for Markov chains
A. Brandt, J. Brannick, M. Bolten, A. Frommer, K. Kahl, and I. Livshits · 2010
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Compatible relaxation and coarsening in algebraic multigrid
J. Brannick and R. Falgout · 2010
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Principles of systematic upscaling
A. Brandt · 2010
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R. Falgout and P. Vassilevski · 2004
Cited alongside, same era.
Coarsening by compatible relaxation
O. Livne · 2004
Cited alongside, same era.
Adaptive amg (aAMG)
M. Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick, and J. Ruge · 2005
Cited alongside, same era.
An energy-based AMG coarsening strategy
J. Brannick, M. Brezina, S. Maclachlan, T. Manteuffel, S. Mccormick, and J. Ruge · 2006
Cited alongside, same era.
Reducing complexity in parallel algebraic multigrid preconditioners
H. De Sterck, U.M. Yang, and J.J. Heys · 2006
Cited alongside, same era.
Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine monte carlo acceleration
A. Brandt and D. Ron
Cited in the paper.
Operator-based interpolation for bootstrap algebraic multigrid
T. Manteuffel, S. McCormick, M. Park, and J. Ruge · 2010
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Bootstrap AMG
A. Brandt, J. Brannick, K. Kahl, and I. Livshits · 2011
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An algebraic multigrid method based on matching of graphs
J. Brannick, Y. Chen, J. Krauss, and L. Zikatanov · 2011
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An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching
J. Brannick, Y. Chen, and L. Zikatanov · 2011
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