Multigrid manuscripts
- aamg1.pdf
- Adaptive algebraic multigrid,
M. Brezina, R. Falgout, S. MacLachlan,
T. Manteuffel, S. McCormick, and J. Ruge,
SIAM J. Sci. Comp. 27 (2006), pp. 1261-1286.
- aamgr.pdf
- Adaptive reduction-based AMG,
S. MacLachlan, T. Manteuffel, and S. McCormick,
Num. Lin. Alg. Appl., 13 (2006), pp. 599-620.
- afacx1.ps
- Asynchronous fast adaptive composite-grid methods for
elliptic problems: theoretical foundations,
B. Lee, S. McCormick, B.
Philip, and D. Quinlan,
SIAM J. Num. Anal. 42 (2004), pp. 130-152 .
- afacx2.ps
- Asynchronous fast adaptive composite-grid methods:
numerical results,
B. Lee, S. McCormick, B. Philip, and D. Quinlan,
SIAM J. Sci. Comp. 25 (2003), pp. 682-700.
- amg0.pdf
- Algebraic multigrid (AMG) for automatic multigrid solution
with application to geodetic computations,
A. Brandt, S. McCormick, and J. Ruge,
report, Inst. Comp. Studies, Colo. State Univ. (1982).
- amg1.pdf
- Algebraic multigrid (AMG) for sparse matrix equations,
A. Brandt, S. McCormick, and J. Ruge,
Sparsity and Its Applications (D.J. Evans, ed.), Cambridge
Univ. Press (1984).
- amgcomp.pdf
- Robustness and algorithmic scalability of algebraic
multigrid (AMG),
A. Cleary, R. Falgout, V. Henson, J. Jones, T.
Manteuffel, S. McCormick, G. Miranda, and J. Ruge,
SIAM J. Sci. Comp. 21 (2000), pp. 1886-1908.
- amgcoarsen.pdf
- An energy-based AMG coarsening strategy,
J. Brannick, M. Brezina, S. MacLachlan, T. Manteuffel, S.
McCormick, and J. Ruge,
Num. Lin. Alg. Appl.
13 (2006), pp. 133-148.
- amge.ps
- Algebraic multigrid based on element interpolation
(AMGe),
M. Brezina, A. Cleary, R. Falgout, V. Henson, J. Jones,
T. Manteuffel, S. McCormick, and J. Ruge,
SIAM J. Sci. Comp. 22 (2001), pp. 1570-1592.
- amghoe.pdf
- Algebraic multigrid (AMG) for higher-order
finite elements,
J. Heys, T. Manteuffel, S. McCormick, and L. Olson,
J. Comp. Phys. 204 (2005), pp. 520-532.
- amgoogle.pdf
- Multilevel adaptive aggregation for Markov chains, with
application to web ranking,
H. de Sterck, T. Manteuffel, S. McCormick, Q. Nguyen, and J. Ruge,
SIAM J. Sci. Comp. 30 (2008), pp. 2235-2262.
- aSA.ps
- Adaptive smoothed aggregation (aSA),
M. Brezina, R. Falgout, S. MacLachlan,
T. Manteuffel, S. McCormick, and J. Ruge,
SIAM J. Sci. Comp. 25 (2004), pp. 1896-1920.
- aSAm.pdf
- Adaptive smoothed aggregation (aSA) multigrid,
M. Brezina, R. Falgout, S. MacLachlan,
T. Manteuffel, S. McCormick, and J. Ruge,
SIAM Review SIGEST 47 (2005), pp. 317-346.
- asme.ps
- Multilevel projection methods for first-order system least
squares,
T. Manteuffel and S. McCormick,
Procs. ASME,
Lake Tahoe, CA, June 9-23, 1994.
- cvfem.ps
- Control volume mixed finite elements,
Z. Cai,
J. Jones, S. McCormick, and T. Russell,
Comp. Geosci. 1 (1997), pp. 289-315.
- ecoarse.pdf
- An energy-based AMG coarsening strategy,
J. Brannick, M. Brezina, S. MacLachlan, T. Manteuffel,
S.McCormick, and J. Ruge,J. Numer. Lin. Alg. Appl.
13 (2006), pp. 133-148.
- eigen.ps
- Multigrid methods for nearly singular linear equations and
eigenvalue problems,
Z. Cai, J. Mandel, and S. McCormick,
SIAM J. Numer. Anal. 34 (1997), pp. 178-200.
- extendmg.pdf
- Extending the applicability of multigrid methods,
J. Brannick, M. Brezina, R. Falgout, T. Manteuffel, S. McCormick,
J. Ruge, B. Sheehan, J. Xu, and L. Zikatanov,
Phys.: Conf. Ser. 46 (2006), pp. 443-452.
- faceval.ps
- Multilevel adaptive methods for elliptic eigenproblems:
two-level convergence theory,
Steve McCormick,
SIAM J. Numer. Anal. 31 (1994), pp. 1731-1745.
- ges-sa.pdf
- A generalized eigensolver based on smoothed aggregation (GES-SA)
for initializing smoothed aggregation multigrid (SA),
M. Brezina, T. Manteuffel, S. McCormick, J. Ruge, G. Sanders,
and P. Vassilevski,
J. Numer. Lin. Alg. Appl. 15 (2008), pp. 89-114.
- ibamg.pdf
- Operator-based interpolation for bootstrap algebraic multigrid,
T. Manteuffel, S. McCormick, M. Park, and J. Ruge
J. Num. Lin. Alg. Appl. 17 (2010), pp. 519-537.
- image.ps
- Multilevel image reconstruction with natural pixels,
V. Henson, M. Limber, S. McCormick, and B. Robinson,
SIAM J. Sci. Comp. 17 (1996), pp. 193-216.
- mcamg.pdf
- Algebraic multigrid for Markov chains,
H. de Sterck, T. Manteuffel, S. McCormick, K. Miller,
J. Ruge, and G. Sanders, SIAM J. Sci. Comp.
32 (2010), pp. 544-562.
- nssa.pdf
- Towards adaptive smooth aggregation (aSA) for nonsymmetric
problems,
M. Brezina, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders,
SIAM J. Sci. Comp. 32 (2010), pp. 14-39.
- paramg.ps
- Parallel multigrid methods,
J. Jones and S. McCormick,
NASA/LaRC Interdisciplinary Ser. in Sci. and Engr.,
Parallel Numerical Algorithms
(D. Keyes, A. Sameh, V. Venkatakrishnan,
eds.) Kluwer, 1997.
- pml_numerics.pdf
- Projection multilevel methods for quasilinear elliptic
partial differential equations: numerical results,
T. Manteuffel, S. McCormick, O. Roehrle, and J. Ruge,
SIAM J. Num. Anal. 44 (2006), pp. 120-138.
- pml_theory.pdf
- Projection multilevel methods for quasilinear elliptic
partial differential equations: theoretical results,
T. Manteuffel, S. McCormick, and O. Roehrle,
SIAM J. Num. Anal. 44 (2006), pp. 138-152.
- pml_theory_vcycle.pdf
- Projection multilevel methods for quasilinear elliptic
partial differential equations: V-cycle theory,
S. McCormick,
SIAM J. Mult. Modeling Sim., 4 (2006), pp. 1339-1348.
- qed1.pdf
- Least-squares finite element methods for quantum
electrodynamics,
J. Brannick, C. Ketelsen, T. Manteuffel, and S. McCormick,
SIAM J. Sci. Comp. 32 (2010), pp. 398-417.
- qed2.pdf
- Finite element methods for quantum electrodynamics
using a Helmholtz decomposition of the gauge field,
C. Ketelsen, T. Manteuffel, S. McCormick, and J. Ruge
J. Num. Lin. Alg. Appl. 17 (2010), pp. 539-556.
- qcd1.pdf
- Adaptive smoothed aggregation in lattice QCD,
J. Brannick, M. Brezina, D. Keyes, O. Livne, I. Livshits,
S. MacLachlan, T. Manteuffel, S. McCormick, J. Ruge, and
L. Zikatanov, Lecture Notes Comp. Sci. Eng., Springer Verlag
, 55 (2007), pp. 505-512.
- qcd2.pdf
- The removal of critical slowing down,
J. Brannick, M. Clark, R. Brower, T. Manteuffel, S. McCormick,
J. Osborn, and C. Rebbi, Procs. XXVI Int. Symp. On Lattice Field
Thoery, July 14-19, 2008.
- qcd3.pdf
- Adaptive multigrid algorithm for the lattice Wilson-Dirac
operator,
R. Babich, J. Brannick, R. Brower, M. Clark, T. Manteuffel,
S. McCormick, J. Osborn, and C. Rebbi,
Physical Review Letters, to appear.
- reaamge.pdf
- Spectral element agglomerate AMGe,
T. Chartier, R. Falgout, V. E.
Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and
P. Vassilevski, report.
- rhoamge.ps
- Spectral AMGe (rhoAMGe),
T. Chartier, R. Falgout, V. E.
Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and
P. Vassilevski,
SIAM J. Sci. Comp. 25 (2003), pp. 1-26.
- sam.pdf
- Smoothed aggregation multigrid for Markov chains,
H. de Sterck, T. Manteuffel, S. McCormick, K. Miller, J. Pearson,
J. Ruge, and G. Sanders, SIAM J. Sci. Comp. 32 (2010), pp. 40-61.
- schwarz.ps
- Schwarz alternating procedure for elliptic problems
discretized by least squares mixed finite elements,
Z. Cai and S. McCormick, CU-Boulder report, April,
1995.
- scidac05.pdf
- New multigrid solver advances in TOPS,
R. Falgout, J. Brannick, M. Brezina, T. Manteuffel, and
S. McCormick,
Proceedings of SciDAC 2005, Journal of Physics: Conference
Series, Institute of
Physics, San Francisco, CA, June 26-30 (2005).
- transport1.ps
- A fast multigrid algorithm for isotropic transport
problems, part I: pure scattering,
T. Manteuffel,
S. McCormick, J. Morel, S. Oliviera, and G. Yang,
SIAM J. Sci. Comp. 16 (1995), pp. 601-635.
- transport2.ps
- A fast multigrid algorithm for isotropic transport
problems, part II: with absorption,
T. Manteuffel,
S. McCormick, J. Morel, and G. Yang,
SIAM J. Sci. Comp. 17 (1996), pp. 1449-1474.