-
1
-
-
0030491606
-
An approximate minimum degree ordering algorithm
-
P. R. AMESTOY. T. A. DAVIS, AND I. S. DUFF, An approximate minimum degree ordering algorithm, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 886-905.
-
(1996)
SIAM J. Matrix Anal. Appl
, vol.17
, pp. 886-905
-
-
AMESTOY, P.R.1
DAVIS, T.A.2
DUFF, I.S.3
-
2
-
-
0042415257
-
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
-
Z.-Z. BAI, G. H. GOLUB, AND M. K. NG, Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, SIAM J. Matrix Anal. Appl., 24 (2003), pp. 603-626.
-
(2003)
SIAM J. Matrix Anal. Appl
, vol.24
, pp. 603-626
-
-
BAI, Z.-Z.1
GOLUB, G.H.2
NG, M.K.3
-
3
-
-
4043070565
-
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems
-
M. BENZI, M. J. GANDER, AND G. H. GOLUB, Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems, BIT, 43 (2003), pp. 881-900.
-
(2003)
BIT
, vol.43
, pp. 881-900
-
-
BENZI, M.1
GANDER, M.J.2
GOLUB, G.H.3
-
4
-
-
14544302325
-
A preconditioner for generalized saddle point problems
-
M. BENZI AND G. H. GOLUB, A preconditioner for generalized saddle point problems, SIAM J. Matrix Anal. Appl., 26 (2004), pp. 20-41.
-
(2004)
SIAM J. Matrix Anal. Appl
, vol.26
, pp. 20-41
-
-
BENZI, M.1
GOLUB, G.H.2
-
5
-
-
20044390432
-
Numerical solution of saddle point problems
-
M. BENZI, G. H. GOLUB, AND J. LIESEN, Numerical solution of saddle point problems, Acta Numer., 14 (2005), pp. 1-137.
-
(2005)
Acta Numer
, vol.14
, pp. 1-137
-
-
BENZI, M.1
GOLUB, G.H.2
LIESEN, J.3
-
6
-
-
33645533824
-
On the eigenvalues of a class of saddle point matrices
-
M. BENZI AND V. SIMONCINI, On the eigenvalues of a class of saddle point matrices, Numer. Math., 103 (2006), pp. 173-196.
-
(2006)
Numer. Math
, vol.103
, pp. 173-196
-
-
BENZI, M.1
SIMONCINI, V.2
-
7
-
-
0031485176
-
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
-
M. BENZI AND D. B. SZYLD, Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods, Numer. Math., 76 (1997), pp. 309-321.
-
(1997)
Numer. Math
, vol.76
, pp. 309-321
-
-
BENZI, M.1
SZYLD, D.B.2
-
8
-
-
0024249068
-
Some fast 3-D finite element solvers for the generalized Stokes problem
-
J. CAHOUET AND J. P. CHABARD, Some fast 3-D finite element solvers for the generalized Stokes problem, Internat. J. Numer. Methods Fluids, 8 (1988), pp. 869-895.
-
(1988)
Internat. J. Numer. Methods Fluids
, vol.8
, pp. 869-895
-
-
CAHOUET, J.1
CHABARD, J.P.2
-
9
-
-
0037142979
-
Analysis of an exact fractional step method
-
W. CHANG, F. GIRALDO, AND J. B. PEROT, Analysis of an exact fractional step method, J. Comput. Phys., 180 (2002), pp. 183-199.
-
(2002)
J. Comput. Phys
, vol.180
, pp. 183-199
-
-
CHANG, W.1
GIRALDO, F.2
PEROT, J.B.3
-
10
-
-
0033279287
-
Preconditioning for the steady-state Navier-Stokes equations with low viscosity
-
H. C. ELMAN, Preconditioning for the steady-state Navier-Stokes equations with low viscosity, SIAM J. Sci. Comput., 20 (1999), pp. 1299-1316.
-
(1999)
SIAM J. Sci. Comput
, vol.20
, pp. 1299-1316
-
-
ELMAN, H.C.1
-
11
-
-
0036003235
-
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
-
H. C. ELMAN, D. J. SILVESTER, AND A. J. WATHEN, Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations, Numer. Math., 90 (2002), pp. 665-688.
-
(2002)
Numer. Math
, vol.90
, pp. 665-688
-
-
ELMAN, H.C.1
SILVESTER, D.J.2
WATHEN, A.J.3
-
12
-
-
0346429871
-
-
Numer. Math. Sci. Comput, Oxford University Press, Oxford, UK
-
H. C. ELMAN, D. J. SILVESTER, AND A. J. WATHEN, Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics, Numer. Math. Sci. Comput., Oxford University Press, Oxford, UK, 2005.
-
(2005)
Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics
-
-
ELMAN, H.C.1
SILVESTER, D.J.2
WATHEN, A.J.3
-
13
-
-
34247492932
-
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
-
C. GREIF AND D. SCHOTZAU, Preconditioners for the discretized time-harmonic Maxwell equations in mixed form, Numer. Linear Algebra Appl., 14 (2007), pp. 281-297.
-
(2007)
Numer. Linear Algebra Appl
, vol.14
, pp. 281-297
-
-
GREIF, C.1
SCHOTZAU, D.2
-
14
-
-
12044252810
-
Incompressible fluid dynamics: Some fundamental formulation issues
-
P. M. GRESHO, Incompressible fluid dynamics: Some fundamental formulation issues, Ann. Rev. Fluid Mech., 23 (1991), pp. 413-453.
-
(1991)
Ann. Rev. Fluid Mech
, vol.23
, pp. 413-453
-
-
GRESHO, P.M.1
-
15
-
-
33749190078
-
Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
-
F. H. HARLOW AND J. E. WELCH, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Phys. Fluids, 8 (1965), pp. 2182-2189.
-
(1965)
Phys. Fluids
, vol.8
, pp. 2182-2189
-
-
HARLOW, F.H.1
WELCH, J.E.2
-
16
-
-
0012969881
-
On a Galerkin-Lagrange multiplier method for the stationary Navier-Stokes equations
-
O. A. KARAKASHIAN, On a Galerkin-Lagrange multiplier method for the stationary Navier-Stokes equations, SIAM J. Numer. Anal., 19 (1982), pp. 909-923.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, pp. 909-923
-
-
KARAKASHIAN, O.A.1
-
17
-
-
0034372562
-
Effective preconditioning of Uzawa type scheme for a generalized Stokes problem
-
G. M. KOBELKOV AND M. A. OLSHANSKII, Effective preconditioning of Uzawa type scheme for a generalized Stokes problem, Numer. Math., 86 (2000), pp. 443-470.
-
(2000)
Numer. Math
, vol.86
, pp. 443-470
-
-
KOBELKOV, G.M.1
OLSHANSKII, M.A.2
-
18
-
-
10044219848
-
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow
-
C. LI AND C. VUIK, Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow, Numer. Linear Algebra Appl., 11 (2004), pp. 511-523.
-
(2004)
Numer. Linear Algebra Appl
, vol.11
, pp. 511-523
-
-
LI, C.1
VUIK, C.2
-
19
-
-
52649121728
-
-
Ph.D. thesis, Department of Mathematics and Computer Science, Emory University, Atlanta, available online at
-
J. LIU, Preconditioned Krylov Subspace Methods for Incompressible Flow Problems, Ph.D. thesis, Department of Mathematics and Computer Science, Emory University, Atlanta, 2006; available online at http://www.uwf.edu/jliu/research.htm.
-
(2006)
Preconditioned Krylov Subspace Methods for Incompressible Flow Problems
-
-
LIU, J.1
-
20
-
-
0011836476
-
Stable finite element calculation of incompressible flows using the rotation form of convection
-
G. LUBE AND M. A. OLSHANSKII, Stable finite element calculation of incompressible flows using the rotation form of convection, IMA J. Numer. Anal., 22 (2002), pp. 437-461.
-
(2002)
IMA J. Numer. Anal
, vol.22
, pp. 437-461
-
-
LUBE, G.1
OLSHANSKII, M.A.2
-
21
-
-
0033436754
-
An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations
-
M. A. OLSHANSKII, An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations, Numer. Linear Algebra Appl., 6 (1999), pp. 353-378.
-
(1999)
Numer. Linear Algebra Appl
, vol.6
, pp. 353-378
-
-
OLSHANSKII, M.A.1
-
22
-
-
0037159815
-
A low order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: A stabilization issue and iterative methods
-
M. A. OLSHANSKII, A low order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: A stabilization issue and iterative methods, Comput. Methods Appl. Mech. Engrg., 191 (2002), pp. 5515-5536.
-
(2002)
Comput. Methods Appl. Mech. Engrg
, vol.191
, pp. 5515-5536
-
-
OLSHANSKII, M.A.1
-
23
-
-
52649161172
-
Preconditioned iterations for the linearized Navier-Stokes system in rotation form
-
Mechanics, K. J. Bathe, ed, Elsevier, New York
-
M. A. OLSHANSKII, Preconditioned iterations for the linearized Navier-Stokes system in rotation form, in Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, K. J. Bathe, ed., Elsevier, New York, 2003, pp. 1074-1077.
-
(2003)
Proceedings of the Second MIT Conference on Computational Fluid and Solid
, pp. 1074-1077
-
-
OLSHANSKII, M.A.1
-
24
-
-
0036982737
-
Navier-Stokes equations in rotation form: A robust multigrid solver for the velocity problem
-
M. A. OLSHANSKII AND A. REUSKEN, Navier-Stokes equations in rotation form: A robust multigrid solver for the velocity problem, SIAM J. Sci. Comput., 23 (2002), pp. 1683-1706.
-
(2002)
SIAM J. Sci. Comput
, vol.23
, pp. 1683-1706
-
-
OLSHANSKII, M.A.1
REUSKEN, A.2
-
25
-
-
33644962842
-
Fast iterative solvers for discrete Stokes equations
-
J. PETERS, V. REICHELT, AND A. REUSKEN, Fast iterative solvers for discrete Stokes equations, SIAM J. Sci. Comput., 27 (2005), pp. 646-666.
-
(2005)
SIAM J. Sci. Comput
, vol.27
, pp. 646-666
-
-
PETERS, J.1
REICHELT, V.2
REUSKEN, A.3
-
26
-
-
0034234056
-
Factorization methods for the numerical approximation of Navier-Stokes equations
-
A. QUARTERONI, F. SALERI, AND A. VENEZIANI, Factorization methods for the numerical approximation of Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 188 (2000), pp. 505-526.
-
(2000)
Comput. Methods Appl. Mech. Engrg
, vol.188
, pp. 505-526
-
-
QUARTERONI, A.1
SALERI, F.2
VENEZIANI, A.3
-
27
-
-
39949083464
-
An energy- and helicity-conserving finite element scheme for the Navier-Stokes equations
-
L. G. REBHOLZ, An energy- and helicity-conserving finite element scheme for the Navier-Stokes equations, SIAM J. Numer. Anal., 45 (2007), pp. 1622-1638.
-
(2007)
SIAM J. Numer. Anal
, vol.45
, pp. 1622-1638
-
-
REBHOLZ, L.G.1
-
28
-
-
0000954680
-
A flexible inner-outer preconditioned GMRES algorithm
-
Y. SAAD, A flexible inner-outer preconditioned GMRES algorithm, SIAM J. Sci. Comput., 14 (1993), pp. 461-469.
-
(1993)
SIAM J. Sci. Comput
, vol.14
, pp. 461-469
-
-
SAAD, Y.1
-
30
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
-
(1986)
SIAM J. Sci. Statist. Comput
, vol.7
, pp. 856-869
-
-
SAAD, Y.1
SCHULTZ, M.H.2
-
31
-
-
20044381802
-
Pressure correction algebraic splitting methods for the incompressible Navier-Stokes equations
-
F. SALERI AND A. VENEZIANI, Pressure correction algebraic splitting methods for the incompressible Navier-Stokes equations, SIAM J. Numer. Anal., 43 (2005), pp. 174-194.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, pp. 174-194
-
-
SALERI, F.1
VENEZIANI, A.2
-
32
-
-
0028517184
-
Fast iterative solution of stabilised Stokes systems. Part II: Using general block preconditioners
-
D. J. SILVESTER AND A. J. WATHEN, Fast iterative solution of stabilised Stokes systems. Part II: Using general block preconditioners, SIAM J. Numer. Anal., 31 (1994), pp. 1352-1367.
-
(1994)
SIAM J. Numer. Anal
, vol.31
, pp. 1352-1367
-
-
SILVESTER, D.J.1
WATHEN, A.J.2
-
33
-
-
17444384127
-
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems
-
V. SIMONCINI AND M. BENZI, Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems, SIAM J. Matrix Anal. Appl., 26 (2004), pp. 377-389.
-
(2004)
SIAM J. Matrix Anal. Appl
, vol.26
, pp. 377-389
-
-
SIMONCINI, V.1
BENZI, M.2
-
34
-
-
3042707652
-
-
Cambridge Monogr. Appl. Comput. Math. 13, Cambridge University Press, Cambridge, UK
-
H. A. VAN DER VORST, Iterative Krylov Methods for Large Linear Systems, Cambridge Monogr. Appl. Comput. Math. 13, Cambridge University Press, Cambridge, UK, 2003.
-
(2003)
Iterative Krylov Methods for Large Linear Systems
-
-
VAN DER VORST, H.A.1
-
35
-
-
0038610818
-
Block factorized preconditioners for high-order accurate in time approximation to the Navier-Stokes equations
-
A. VENEZIANI, Block factorized preconditioners for high-order accurate in time approximation to the Navier-Stokes equations, Numer. Methods Partial Differential Equations, 19 (2003), pp. 487-510.
-
(2003)
Numer. Methods Partial Differential Equations
, vol.19
, pp. 487-510
-
-
VENEZIANI, A.1
-
37
-
-
0025842042
-
On the rotation and skew-symmetric forms for incompressible flow simulations
-
T. A. ZANG, On the rotation and skew-symmetric forms for incompressible flow simulations, Appl. Numer. Math., 7 (1991), pp. 27-40.
-
(1991)
Appl. Numer. Math
, vol.7
, pp. 27-40
-
-
ZANG, T.A.1
|