-
1
-
-
0001326593
-
Efficient solution of finite difference and finite element equations by algebraic multigrid (AMG)
-
Paddon DJ, Holstein H (eds). Clarendon Press: Oxford
-
Ruge JW, Stüben K. Efficient solution of finite difference and finite element equations by algebraic multigrid (AMG). In Multigrid Methods for Integral and Differential Equations, Paddon DJ, Holstein H (eds). Clarendon Press: Oxford, 1985; 169-212.
-
(1985)
Multigrid Methods for Integral and Differential Equations
, pp. 169-212
-
-
Ruge, J.W.1
Stüben, K.2
-
2
-
-
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
-
3
-
-
0033710185
-
Robustness and scalability of algebraic multigrid
-
Cleary AJ, Falgout RD, Henson VE, Jones JE, Manteuffel TA, McCormick SF, Miranda GN, Ruge JW. Robustness and scalability of algebraic multigrid. SIAM Journal on Scientific Computing 2000; 21:1886-1908.
-
(2000)
SIAM Journal on Scientific Computing
, vol.21
, pp. 1886-1908
-
-
Cleary, A.J.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.E.4
Manteuffel, T.A.5
McCormick, S.F.6
Miranda, G.N.7
Ruge, J.W.8
-
4
-
-
0036226531
-
Element-free AMGe: General algorithms for computing the interpolation weights in AMG
-
Henson VE, Vassilevski PS. Element-free AMGe: general algorithms for computing the interpolation weights in AMG. SIAM Journal on Scientific Computing 2001; 23:629-650.
-
(2001)
SIAM Journal on Scientific Computing
, vol.23
, pp. 629-650
-
-
Henson, V.E.1
Vassilevski, P.S.2
-
6
-
-
0000762041
-
An approximate factorization procedure for solving self-adjoint elliptic difference equations
-
Dupont T, Kendall RP, Rachford HH. An approximate factorization procedure for solving self-adjoint elliptic difference equations. SIAM Journal on Numerical Analysis 1968; 5:559-573.
-
(1968)
SIAM Journal on Numerical Analysis
, vol.5
, pp. 559-573
-
-
Dupont, T.1
Kendall, R.P.2
Rachford, H.H.3
-
7
-
-
0001085784
-
ILUM: A multi-elimination ILU preconditioner for general sparse matrices
-
Saad Y. ILUM: a multi-elimination ILU preconditioner for general sparse matrices. SIAM Journal on Scientific and Statistical Computing 1996; 17:830-847.
-
(1996)
SIAM Journal on Scientific and Statistical Computing
, vol.17
, pp. 830-847
-
-
Saad, Y.1
-
9
-
-
0000279499
-
The nested recursive two-level factorization method for nine-point difference matrices
-
Axelsson O, Eijkhout V. The nested recursive two-level factorization method for nine-point difference matrices. SIAM Journal on Scientific and Statistical Computing 1991; 12:1373-1400.
-
(1991)
SIAM Journal on Scientific and Statistical Computing
, vol.12
, pp. 1373-1400
-
-
Axelsson, O.1
Eijkhout, V.2
-
10
-
-
0042260619
-
Condition numbers of approximate Schur complements in two- And three-dimensional discretizations on hierarchically ordered grids
-
Kraus JK, Brand CW. Condition numbers of approximate Schur complements in two- and three-dimensional discretizations on hierarchically ordered grids. Computing 2000; 65:135-154.
-
(2000)
Computing
, vol.65
, pp. 135-154
-
-
Kraus, J.K.1
Brand, C.W.2
-
11
-
-
0034511247
-
Optimal order preconditioning of finite difference matrices
-
Notay Y. Optimal order preconditioning of finite difference matrices. SIAM Journal on Scientific Computing 2000; 21:1991-2007.
-
(2000)
SIAM Journal on Scientific Computing
, vol.21
, pp. 1991-2007
-
-
Notay, Y.1
-
13
-
-
38249042495
-
A general incomplete block-matrix factorization method
-
Axelsson O. A general incomplete block-matrix factorization method. Linear Algebra and its Applications 1986; 74:179-190.
-
(1986)
Linear Algebra and Its Applications
, vol.74
, pp. 179-190
-
-
Axelsson, O.1
-
17
-
-
0033207377
-
A multilevel block incomplete factorization preconditioning
-
Notay Y. A multilevel block incomplete factorization preconditioning. Applied Numerical Mathematics 1999; 31:209-225.
-
(1999)
Applied Numerical Mathematics
, vol.31
, pp. 209-225
-
-
Notay, Y.1
-
18
-
-
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
-
22
-
-
0001116752
-
A black box generalized conjugate gradient solver with inner iterations and variablestep preconditioning
-
Axelsson O, Vassilevski PS. A black box generalized conjugate gradient solver with inner iterations and variablestep preconditioning. SIAM Journal on Matrix Analysis and Applications 1991; 12:625-644.
-
(1991)
SIAM Journal on Matrix Analysis and Applications
, vol.12
, pp. 625-644
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
23
-
-
84985330885
-
Variable-step multilevel preconditioning methods, 1: Self-adjoint and positive definite elliptic problems
-
Axelsson O, Vassilevski PS. Variable-step multilevel preconditioning methods, 1: self-adjoint and positive definite elliptic problems. Numerical Linear Algebra with Applications 1994; 1:75-101.
-
(1994)
Numerical Linear Algebra with Applications
, vol.1
, pp. 75-101
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
24
-
-
0036453449
-
An algebraic preconditioning method for M-Matrices: Linear versus nonlinear multilevel iteration
-
Kraus JK. An algebraic preconditioning method for M-Matrices: linear versus nonlinear multilevel iteration. Numerical Linear Algebra with Applications 2002; 9:599-618.
-
(2002)
Numerical Linear Algebra with Applications
, vol.9
, pp. 599-618
-
-
Kraus, J.K.1
-
25
-
-
0032252492
-
Optimal V-cycle algebraic multilevel preconditioning
-
Notay Y. Optimal V-cycle algebraic multilevel preconditioning. Numerical Linear Algebra with Applications 1998; 5:441-459.
-
(1998)
Numerical Linear Algebra with Applications
, vol.5
, pp. 441-459
-
-
Notay, Y.1
-
26
-
-
0031101117
-
On two ways of stabilizing the hierarchical basis multilevel methods
-
Vassilevski PS. On two ways of stabilizing the hierarchical basis multilevel methods. SIAM Reiiew 1997; 39:18-53.
-
(1997)
SIAM Reiiew
, vol.39
, pp. 18-53
-
-
Vassilevski, P.S.1
-
27
-
-
0006743875
-
A unified framework for the construction of various algebraic multilevel preconditioning methods
-
Axelsson O, Bai Z. A unified framework for the construction of various algebraic multilevel preconditioning methods. Acta Mathematicae Applicatae Sinica 1999; 15:132-143.
-
(1999)
Acta Mathematicae Applicatae Sinica
, vol.15
, pp. 132-143
-
-
Axelsson, O.1
Bai, Z.2
-
28
-
-
85022608074
-
Hierarchical bases and the finite element method
-
Bank RE. Hierarchical bases and the finite element method. Acta Numerica 1996; 5:1-43.
-
(1996)
Acta Numerica
, vol.5
, pp. 1-43
-
-
Bank, R.E.1
-
29
-
-
0026219648
-
The role of the strengthened CBS inequality in multilevel methods
-
Eijkhout V, Vassilevski PS. The role of the strengthened CBS 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
-
30
-
-
84985370889
-
Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations
-
Margenov SD. Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations. Numerical Linear Algebra with Applications 1994; 1:65-74.
-
(1994)
Numerical Linear Algebra with Applications
, vol.1
, pp. 65-74
-
-
Margenov, S.D.1
-
31
-
-
0012788594
-
Nearly optimal iterative methods for solving finite element elliptic equations based on multilevel splitting of the matrix
-
Institute for Scientific Computation, University of Wyoming, Laramie, U.S.A.
-
Vassilevski PS. Nearly optimal iterative methods for solving finite element elliptic equations based on multilevel splitting of the matrix. Technical Report 1989-09, Institute for Scientific Computation, University of Wyoming, Laramie, U.S.A., 1989.
-
(1989)
Technical Report
, vol.1989
, Issue.9
-
-
Vassilevski, P.S.1
-
32
-
-
0032344210
-
Using approximate inverses in algebraic multilevel methods
-
Notay Y. Using approximate inverses in algebraic multilevel methods. Numerische Mathematik 1998; 80: 397-417.
-
(1998)
Numerische Mathematik
, vol.80
, pp. 397-417
-
-
Notay, Y.1
-
33
-
-
0036391779
-
Robust parameter-free algebraic multilevel preconditioning
-
Notay Y. Robust parameter-free algebraic multilevel preconditioning. Numerical Linear Algebra with Applications 2002; 9:409-428.
-
(2002)
Numerical Linear Algebra with Applications
, vol.9
, pp. 409-428
-
-
Notay, Y.1
-
35
-
-
31644446351
-
An agglomeration-based multilevel-topology concept with application to 3D-FE meshes
-
Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria
-
Kraus JK, Synka J. An agglomeration-based multilevel-topology concept with application to 3D-FE meshes. Technical Report 2004-08, Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria, 2004.
-
(2004)
Technical Report
, vol.2004
, Issue.8
-
-
Kraus, J.K.1
Synka, J.2
-
36
-
-
0142109867
-
On the existence problem of incomplete factorisation methods
-
UT-CS-99-435, Computer Science Department, University of Tennessee, U.S.A.
-
Eijkhout V. On the existence problem of incomplete factorisation methods. Lapack Working Note 144, UT-CS-99-435, Computer Science Department, University of Tennessee, U.S.A., 1999.
-
(1999)
Lapack Working Note
, vol.144
-
-
Eijkhout, V.1
-
38
-
-
0033293990
-
On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems
-
Axelsson O, Padiy A. On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems. SIAM Journal on Scientific Computing 1999; 20:1807-1830.
-
(1999)
SIAM Journal on Scientific Computing
, vol.20
, pp. 1807-1830
-
-
Axelsson, O.1
Padiy, A.2
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