-
1
-
-
0037670448
-
Parallel multigrid smoothing: Polynomial versus Gauss-Seidel
-
M. ADAMS, M. BREZINA, J. Hu, AND R. TUMINARO, Parallel multigrid smoothing: Polynomial versus Gauss-Seidel, J. Comput. Phys., 188 (2003), pp. 593-610.
-
(2003)
J. Comput. Phys.
, vol.188
, pp. 593-610
-
-
Adams, M.1
Brezina, M.2
Hu, J.3
Tuminaro, R.4
-
2
-
-
0000014842
-
The multi-grid method for the diffusion equation with strongly discontinuous coefficients
-
R. E. ALCOUFFE, A. BRANDT, J. E. DENDY, JR., AND J. W. PAINTER, The multi-grid method for the diffusion equation with strongly discontinuous coefficients, SIAM J. Sci. Stat. Comput., 2 (1981), pp. 430-454.
-
(1981)
SIAM J. Sci. Stat. Comput.
, vol.2
, pp. 430-454
-
-
Alcouffe, R.E.1
Brandt, A.2
Dendy Jr., J.E.3
Painter, J.W.4
-
3
-
-
2342488827
-
An improved algebraic multigrid method for solving Maxwell's equations
-
P. B. BOCHEV, C. J. GARASI, J. J. HU, A. C. ROBINSON, AND R. S. TUMINARO, An improved algebraic multigrid method for solving Maxwell's equations, SIAM J. Sci. Comput., 25 (2003), pp. 623-642.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 623-642
-
-
Bochev, P.B.1
Garasi, C.J.2
Hu, J.J.3
Robinson, A.C.4
Tuminaro, R.S.5
-
4
-
-
0003320310
-
Multigrid methods
-
Longman Scientific & Technical, Essex, UK
-
J. H. BRAMBLE, Multigrid Methods, Pitman Res. Notes Math. Sci. 294, Longman Scientific & Technical, Essex, UK, 1993.
-
(1993)
Pitman Res. Notes Math. Sci.
, vol.294
-
-
Bramble, J.H.1
-
5
-
-
84966233568
-
Multi-level adaptive solutions to boundary-value problems
-
A. BRANDT, Multi-level adaptive solutions to boundary-value problems, Math. Comp., 31 (1977), pp. 333-390.
-
(1977)
Math. Comp.
, vol.31
, pp. 333-390
-
-
Brandt, A.1
-
6
-
-
0001927250
-
Algebraic multigrid theory: The symmetric case
-
A. BRANDT, Algebraic multigrid theory: The symmetric case, Appl. Math. Comput., 19 (1986), pp. 23-56.
-
(1986)
Appl. Math. Comput.
, vol.19
, pp. 23-56
-
-
Brandt, A.1
-
7
-
-
0142014324
-
General highly accurate algebraic coarsening
-
A. BRANDT, General highly accurate algebraic coarsening, Elect. Trans. Numer. Anal., 10 (2000), pp. 1-20.
-
(2000)
Elect. Trans. Numer. Anal.
, vol.10
, pp. 1-20
-
-
Brandt, A.1
-
8
-
-
0002438068
-
Algebraic multigrid (AMG) for sparse matrix equations
-
D. J. Evans, ed., Cambridge University Press, Cambridge, UK
-
A. BRANDT, S. F. MCCORMICK, AND J. W. RUGE, Algebraic multigrid (AMG) for sparse matrix equations, in Sparsity and Its Applications, D. J. Evans, ed., Cambridge University Press, Cambridge, UK, 1984, pp. 257-284.
-
(1984)
Sparsity and Its Applications
, pp. 257-284
-
-
Brandt, A.1
Mccormick, S.F.2
Ruge, J.W.3
-
9
-
-
4043106376
-
Multigrid solvers and multilevel optimization strategies
-
J. Cong and J. R. Shinnerl, eds., Comb. Optim. 14, Kluwer Academic Publishers, Dordrecht, The Netherlands
-
A. BRANDT AND D. RON, Multigrid solvers and multilevel optimization strategies, in Multilevel Optimization in VLSICAD, J. Cong and J. R. Shinnerl, eds., Comb. Optim. 14, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003, pp. 1-69.
-
(2003)
Multilevel Optimization in VLSICAD
, pp. 1-69
-
-
Brandt, A.1
Ron, D.2
-
10
-
-
10244247430
-
An iterative method with convergence rate chosen a priori
-
Center for Computational Mathematics, University of Colorado at Denver, Denver, CO, available online
-
M. BREZINA, C. I. HEBERTON, J. MANDEL, AND P. VANËK, An Iterative Method with Convergence Rate Chosen a Priori, UCD/CCM Report 140, Center for Computational Mathematics, University of Colorado at Denver, Denver, CO, 1999; available online from http://www.math.cudenver.edu/ccmreports/rep140.ps.gz.
-
(1999)
UCD/CCM Report
, vol.140
-
-
Brezina, M.1
Heberton, C.I.2
Mandel, J.3
Vanëk, P.4
-
11
-
-
0034770470
-
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. RŨGE, Algebraic multigrid based on element interpolation (AMGe), SIAM J. Sci. Comput., 22 (2000), pp. 1570-1592.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1570-1592
-
-
Brezina, M.1
Cleary, A.J.2
Falgout, R.D.3
Henson, V.E.4
Jones, J.E.5
Manteuffel, T.A.6
Mccormick, S.F.7
Rũge, J.W.8
-
12
-
-
10244278127
-
Adaptive smoothed aggregation (αSA)
-
M. BREZINA, R. FALGOUT, S. MACLACHLAN, T. MANTEUFFEL, S, MCCORMICK, AND J. RUGE, Adaptive smoothed aggregation (αSA), SIAM J. Sci. Comput., 25 (2004), pp. 1896-1920.
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1896-1920
-
-
Brezina, M.1
Falgout, R.2
Maclachlan, S.3
Manteuffel, T.4
Mccormick, S.5
Ruge, J.6
-
14
-
-
1842479841
-
Spectral AMGe (pAMGe)
-
T. CHARTIER, R. D. FALGOUT, V. E. HENSON, J. JONES, T. MANTEUFFEL, S. MCCORMICK, J. RŨGE, AND P. S. VASSILEVSKI, Spectral AMGe (pAMGe), SIAM J. Sci. Comput., (2003), pp. 1-26.
-
(2003)
SIAM J. Sci. Comput.
, pp. 1-26
-
-
Chartier, T.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.4
Manteuffel, T.5
Mccormick, S.6
Rũge, J.7
Vassilevski, P.S.8
-
15
-
-
24344500970
-
A note on the relationship between adaptive AMG and PCG
-
Lawrence Livermore National Laboratory, Livermore, CA
-
R. D. FALGOUT, A Note on the Relationship Between Adaptive AMG and PCG, technical report UCRL-TR-205838, Lawrence Livermore National Laboratory, Livermore, CA, 2004.
-
(2004)
Technical Report
, vol.UCRL-TR-205838
-
-
Falgout, R.D.1
-
16
-
-
22144473175
-
On generalizing the algebraic multigrid framework
-
R. D. FALGOUT AND P. S. VASSILEVSKI, On generalizing the algebraic multigrid framework, SIAM J. Numer. Anal., 42 (2004), pp. 1669-1693.
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 1669-1693
-
-
Falgout, R.D.1
Vassilevski, P.S.2
-
18
-
-
84968508675
-
Estimating optimum overrelaxation parameters
-
L. A. HAGEMAN AND R. B. KELLOGG, Estimating optimum overrelaxation parameters, Math. Comp., 22 (1968), pp. 60-68.
-
(1968)
Math. Comp.
, vol.22
, pp. 60-68
-
-
Hageman, L.A.1
Kellogg, R.B.2
-
19
-
-
10044241891
-
Coarsening by compatible, relaxation
-
O. LIVNE, Coarsening by compatible, relaxation, Numer. Linear Algebra Appl., 11 (2004), pp. 205-227.
-
(2004)
Numer. Linear Algebra Appl.
, vol.11
, pp. 205-227
-
-
Livne, O.1
-
20
-
-
33645738905
-
-
Ph.D. thesis, University of Colorado at Boulder, Boulder, CO
-
S. MACLACHLAN, Improving Robustness in Multiscale Methods, Ph.D. thesis, University of Colorado at Boulder, Boulder, CO, 2004.
-
(2004)
Improving Robustness in Multiscale Methods
-
-
Maclachlan, S.1
-
21
-
-
34250261642
-
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
-
T. A. MANTEUFFEL, Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration, Numer. Math., 31 (1978), pp. 183-208.
-
(1978)
Numer. Math.
, vol.31
, pp. 183-208
-
-
Manteuffel, T.A.1
-
22
-
-
0002963824
-
Multigrid methods for variational problems
-
S. F. MCCORMICK AND J. W. RUGE, Multigrid methods for variational problems, SIAM J. Numer. Anal., 19 (1982), pp. 924-929.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 924-929
-
-
Mccormick, S.F.1
Ruge, J.W.2
-
23
-
-
0024904784
-
Algebraic multigrid methods applied to problems in computational structural mechanics
-
ASME, New York
-
H. F. MCCORMICK AND J. W. RUGE, Algebraic multigrid methods applied to problems in computational structural mechanics, in State-of-the-Art Surveys on Computational Mechanics, ASME, New York, 1989, pp. 237-270.
-
(1989)
State-of-the-art Surveys on Computational Mechanics
, pp. 237-270
-
-
Mccormick, H.F.1
Ruge, J.W.2
-
24
-
-
6244278664
-
Algebraic multigrid (AMG) for geodetic survey problems
-
Fort Collins, CO, Institute for Computational Studies at Colorado State University
-
J. W. RUGE, Algebraic multigrid (AMG) for geodetic survey problems, in Preliminary Proceedings of the International Multigrid Conference, Fort Collins, CO, 1983, Institute for Computational Studies at Colorado State University.
-
(1983)
Preliminary Proceedings of the International Multigrid Conference
-
-
Ruge, J.W.1
-
25
-
-
21244500395
-
Final Report on amg02
-
Gesellschaft für Mathematik und Daren-verarbeitung, St. Augustin
-
J. W. RUGE, Final Report on amg02, technical report, Gesellschaft für Mathematik und Daren-verarbeitung, St. Augustin, 1985.
-
(1985)
Technical Report
-
-
Ruge, J.W.1
-
26
-
-
0011461617
-
AMG for problems of elasticity
-
J. RUGE, AMG for problems of elasticity, Appl. Math. Comp., 19 (1986), pp. 293-309.
-
(1986)
Appl. Math. Comp.
, vol.19
, pp. 293-309
-
-
Ruge, J.1
-
27
-
-
0001885411
-
Algebraic multigrid (AMG)
-
Multigrid Methods, S. F. McCormick, ed., SIAM, Philadelphia
-
J. W. RUGE AND K. STÜBEN, Algebraic multigrid (AMG), in Multigrid Methods, S. F. McCormick, ed., Frontiers in Appl. Math. 3, SIAM, Philadelphia, 1987, pp. 73-130.
-
(1987)
Frontiers in Appl. Math.
, vol.3
, pp. 73-130
-
-
Ruge, J.W.1
Stüben, K.2
-
28
-
-
0003338384
-
-
Multigrid, U. Trottenberg, C. Oosterlee, and A. Schüller, eds., Academic Press, San Diego, CA
-
K. STÜBEN, An introduction to algebraic multigrid, in Multigrid, U. Trottenberg, C. Oosterlee, and A. Schüller, eds., Academic Press, San Diego, CA, 2001, pp. 413-528.
-
(2001)
An Introduction to Algebraic Multigrid
, pp. 413-528
-
-
Stüben, K.1
-
29
-
-
0030388574
-
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
-
P. VANĚK, J. MANDEL, AND M. BREZINA, Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems, Computing, 56 (1996), pp. 179-196.
-
(1996)
Computing
, vol.56
, pp. 179-196
-
-
Vaněk, P.1
Mandel, J.2
Brezina, M.3
-
30
-
-
0041034172
-
Convergence of algebraic multigrid based on smoothed aggregation
-
P. VANĚK, M. BREZINA, AND J. MANDEL, Convergence of algebraic multigrid based on smoothed aggregation, Numer. Math., 88 (2001), pp. 559-579.
-
(2001)
Numer. Math.
, vol.88
, pp. 559-579
-
-
Vaněk, P.1
Brezina, M.2
Mandel, J.3
-
31
-
-
17644389033
-
Filtering decompositions with respect to adaptive test vectors
-
Multigrid Methods V, Proceedings of the Fifth European Multigrid Conference, Stuttgart, Germany, Springer, Berlin
-
C. WAGNER AND G. WITTUM, Filtering decompositions with respect to adaptive test vectors, in Multigrid Methods V, Proceedings of the Fifth European Multigrid Conference, Stuttgart, Germany, 1996, W. Hackbusch and G. Wittum, eds., Lecture Notes in Comput. Sci. Engrg. 3, Springer, Berlin, 1998, pp. 320-334.
-
(1996)
Lecture Notes in Comput. Sci. Engrg.
, vol.3
, pp. 320-334
-
-
Wagner, C.1
Wittum, G.2
-
32
-
-
0031327622
-
Adaptive filtering
-
C. WAGNER AND G. WITTUM, Adaptive filtering, Numer. Math., 78 (1997), pp. 305-328.
-
(1997)
Numer. Math.
, vol.78
, pp. 305-328
-
-
Wagner, C.1
Wittum, G.2
-
33
-
-
10044254651
-
On the use of relaxation parameters in hybrid smoothers
-
U.M. YANG, On the use of relaxation parameters in hybrid smoothers, Numer. Linear Algebra Appl., 11 (2004), pp. 155-172.
-
(2004)
Numer. Linear Algebra Appl.
, vol.11
, pp. 155-172
-
-
Yang, U.M.1
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