-
4
-
-
0001822668
-
Multigrid methods: Fundamental algorithms, model problem analysis and applications
-
Hackbusch W, Trottenberg U (eds). Lectures Notes in Mathematics, Springer: Berlin, Heidelberg, New York
-
Stüben K, Trottenberg KU. Multigrid methods: fundamental algorithms, model problem analysis and applications. in Multigrid Methods, Hackbusch W, Trottenberg U (eds). Lectures Notes in Mathematics, vol. 960. Springer: Berlin, Heidelberg, New York, 1982; 1-176.
-
(1982)
Multigrid Methods
, vol.960
, pp. 1-176
-
-
Stüben, K.1
Trottenberg, K.U.2
-
5
-
-
21844485073
-
Fourier analysis of a robust multigrid method for convection-diffusion equations
-
Reusken A. Fourier analysis of a robust multigrid method for convection-diffusion equations. Numerische Mathematik 1995; 71:365-398.
-
(1995)
Numerische Mathematik
, vol.71
, pp. 365-398
-
-
Reusken, A.1
-
6
-
-
0034397438
-
A robust algebraic multilevel preconditioner for non symmetric M-matrices
-
Notay Y. A robust algebraic multilevel preconditioner for non symmetric M-matrices. Numerical Linear Algebra with Applications 2000; 7:243-267.
-
(2000)
Numerical Linear Algebra With Applications
, vol.7
, pp. 243-267
-
-
Notay, Y.1
-
7
-
-
0001927250
-
Algebraic multigrid theory: The symmetric case
-
Brandt A. Algebraic multigrid theory: the symmetric case. Applied Mathematics and Computation 1986; 19:23-56.
-
(1986)
Applied Mathematics and Computation
, vol.19
, pp. 23-56
-
-
Brandt, A.1
-
8
-
-
0034770470
-
Algebraic multigrid based on element interpolation (AMGe)
-
Brezina M, Cleary AJ, Falgout RD, Henson VE, Jones JE, Manteuffel TA, McCormick SF, Ruge JW. Algebraic multigrid based on element interpolation (AMGe). SIAM Journal on Scientific Computing 2000; 22:1570-1592.
-
(2000)
SIAM Journal on Scientific Computing
, 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
Ruge, J.W.8
-
11
-
-
0001885411
-
Algebraic multigrid (AMG)
-
McCormick SF (ed.). Frontiers in Applied Mathematics, SIAM: Philadelphia, PA
-
Ruge JW, Stüben K. Algebraic multigrid (AMG). in Multigrid Methods, McCormick SF (ed.). Frontiers in Applied Mathematics, vol. 3. SIAM: Philadelphia, PA, 1987; 73-130.
-
(1987)
Multigrid Methods
, vol.3
, pp. 73-130
-
-
Ruge, J.W.1
Stüben, K.2
-
12
-
-
0003338384
-
An introduction to algebraic multigrid
-
Trottenberg U, Oosterlee CW, Schüller A (eds). Academic Press: San Diego, London, Appendix A
-
Stüben K. An introduction to algebraic multigrid. in Multigrid, Trottenberg U, Oosterlee CW, Schüller A (eds). Academic Press: San Diego, London, 2001; 413-532. Appendix A.
-
(2001)
Multigrid
, pp. 413-532
-
-
Stüben, K.1
-
13
-
-
1842479841
-
Spectral AMGe (ρAMGe)
-
Chartier T, Falgout RD, Henson VE, Jones J, Manteuffel T, McCormick S, Ruge J, Vassilevski PS. Spectral AMGe (ρAMGe). SIAM Journal on Scientific Computing 2004; 25:1-26.
-
(2004)
SIAM Journal on Scientific Computing
, vol.25
, pp. 1-26
-
-
Chartier, T.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.4
Manteuffel, T.5
McCormick, S.6
Ruge, J.7
Vassilevski, P.S.8
-
14
-
-
0036226531
-
Element-free AMGe: General algorithms for computing interpolation weights in AMG
-
Henson VE, Vassilevski PS. Element-free AMGe: general algorithms for computing interpolation weights in AMG. SIAM Journal on Scientific Computing 2002; 23:629-650.
-
(2002)
SIAM Journal on Scientific Computing
, vol.23
, pp. 629-650
-
-
Henson, V.E.1
Vassilevski, P.S.2
-
15
-
-
0030388574
-
Algebraic multigrid based on smoothed aggregation for second and fourth order elliptic problems
-
Vaněk P, Mandel J, Brezina M. Algebraic multigrid based on smoothed aggregation for second and fourth order elliptic problems. Computing 1996; 56:179-196.
-
(1996)
Computing
, vol.56
, pp. 179-196
-
-
Vaněk, P.1
Mandel, J.2
Brezina, M.3
-
19
-
-
51549098350
-
On algebraic multilevel methods for non-symmetric systems-comparison results
-
Mense C, Nabben R. On algebraic multilevel methods for non-symmetric systems-comparison results. Linear Algebra and its Applications 2008; 429:2567-2588.
-
(2008)
Linear Algebra and Its Applications
, vol.429
, pp. 2567-2588
-
-
Mense, C.1
Nabben, R.2
-
20
-
-
58449096398
-
On algebraic multilevel methods for non-symmetric systems-convergence results
-
Mense C, Nabben R. On algebraic multilevel methods for non-symmetric systems-convergence results. Electronic Transactions on Numerical Analysis 2008; 20:323-345.
-
(2008)
Electronic Transactions on Numerical Analysis
, vol.20
, pp. 323-345
-
-
Mense, C.1
Nabben, R.2
-
21
-
-
22144438010
-
Algebraic multigrid and algebraic multilevel methods: A theoretical comparison
-
Notay Y. Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. Numerical Linear Algebra with Applications 2005; 12:419-451.
-
(2005)
Numerical Linear Algebra With Applications
, vol.12
, pp. 419-451
-
-
Notay, Y.1
-
24
-
-
0000555209
-
Black box multigrid for nonsymmetric problems
-
Dendy JE. Black box multigrid for nonsymmetric problems. Applied Mathematics and Computation 1983; 13:261-283.
-
(1983)
Applied Mathematics and Computation
, vol.13
, pp. 261-283
-
-
Dendy, J.E.1
-
26
-
-
72449122329
-
Towards adaptive smoothed aggregation (αSA) for nonsymmetric problems
-
University of Colorado at Boulder
-
Brezina M, Manteuffel T, McCormick S, Ruge J, Sanders G. Towards adaptive smoothed aggregation (αSA) for nonsymmetric problems. Technical Report, University of Colorado at Boulder, 2008.
-
(2008)
Technical Report
-
-
Brezina, M.1
Manteuffel, T.2
McCormick, S.3
Ruge, J.4
Sanders, G.5
-
27
-
-
34249296232
-
AMG strategies for PDE systems with applications in industrial semiconductor simulation
-
University of Cologne, Germany
-
Clees T. AMG strategies for PDE systems with applications in industrial semiconductor simulation. Ph.D. Dissertation, University of Cologne, Germany, 2004.
-
(2004)
Ph.d. Dissertation
-
-
Clees, T.1
-
28
-
-
72449124673
-
An aggregation-based algebraic multigrid method
-
Université Libre de Bruxelles, Brussels, Belgium, Available from
-
Notay Y. An aggregation-based algebraic multigrid method. Technical Report GANMN 08-02, Université Libre de Bruxelles, Brussels, Belgium, 2008. Available from: http://homepages.ulb.ac.be/~ynotay.
-
(2008)
Technical Report Ganmn 08-02
-
-
Notay, Y.1
-
29
-
-
51449106109
-
Two-sided bounds on the convergence rate of two-level methods
-
Zikatanov LT. Two-sided bounds on the convergence rate of two-level methods. Numerical Linear Algebra with Applications 2007; 15:439-454.
-
(2007)
Numerical Linear Algebra With Applications
, vol.15
, pp. 439-454
-
-
Zikatanov, L.T.1
-
30
-
-
84878786891
-
Algebraic multigrid methods based on compatible relaxation and energy minimization
-
Widlund OB, Keyes DE (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin, Heidelberg
-
Brannick J, Zikatanov L. Algebraic multigrid methods based on compatible relaxation and energy minimization. in Domain Decomposition Methods in Science and Engineering XVI, Widlund OB, Keyes DE (eds). Lecture Notes in Computational Science and Engineering, vol. 55. Springer: Berlin, Heidelberg, 2007; 15-26.
-
(2007)
Domain Decomposition Methods in Science and Engineering Xvi
, vol.55
, pp. 15-26
-
-
Brannick, J.1
Zikatanov, L.2
-
32
-
-
4043101775
-
A survey of algebraic multilevel iterations (AMLI) methods
-
Axelsson O. A survey of algebraic multilevel iterations (AMLI) methods. BIT 2003; 43:863-879.
-
(2003)
BIT
, vol.43
, pp. 863-879
-
-
Axelsson, O.1
-
33
-
-
0026219648
-
The role of the strengthened c.b.s. inequality in multilevel methods
-
Eijkhout V, Vassilevski PS. The role of the strengthened c.b.s. inequality in multilevel methods. SIAM Review 1991; 33:405-419.
-
(1991)
SIAM Review
, vol.33
, pp. 405-419
-
-
Eijkhout, V.1
Vassilevski, P.S.2
|