-
1
-
-
0003796630
-
-
Academic Press, New York
-
R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
ADAMS, R.A.1
-
2
-
-
21344488252
-
Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
-
A. AIT OU AMMI AND M. MARION, Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations, Numer. Math., 68 (1994), pp. 189-213.
-
(1994)
Numer. Math
, vol.68
, pp. 189-213
-
-
AIT, A.1
AMMI, O.2
MARION, M.3
-
3
-
-
33747192336
-
-
manuscript, Harvard University, Cambridge, MA
-
G. A. BAKER, Galerkin Approximations for the Navier-Stokes Equations, manuscript, Harvard University, Cambridge, MA, 1976.
-
(1976)
Galerkin Approximations for the Navier-Stokes Equations
-
-
BAKER, G.A.1
-
4
-
-
84966210193
-
On a high order accurate fully discrete Galerkin approximation to the Navier-Stokes equations
-
G. A. BAKER. V. A. DOUGALIS, AND O. A. KARAKASHIAN, On a high order accurate fully discrete Galerkin approximation to the Navier-Stokes equations, Math. Comp., 39 (1982), pp. 339-375.
-
(1982)
Math. Comp
, vol.39
, pp. 339-375
-
-
BAKER, G.A.1
DOUGALIS, V.A.2
KARAKASHIAN, O.A.3
-
5
-
-
0025445438
-
2 error estimates for finite-element methods for nonlinear diffusion equations with memory
-
2 error estimates for finite-element methods for nonlinear diffusion equations with memory, SIAM J. Numer. Anal., 27 (1990), pp. 595-607.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 595-607
-
-
CANNON, J.R.1
LIN, Y.2
-
7
-
-
42649105572
-
-
W. E AND J.-G. LIU, Projection methods I: Convergence and numerical boundary layers, SIAM J. Numer. Anal., 32(1995), pp. 1017-1057.
-
W. E AND J.-G. LIU, Projection methods I: Convergence and numerical boundary layers, SIAM J. Numer. Anal., 32(1995), pp. 1017-1057.
-
-
-
-
8
-
-
42649141750
-
Orthogonal Spline Collocation Methods for the Navier-Stokes Equations in Stream Function and Vorticity Formulation
-
submitted
-
G. FAIRWEATHER, H. MA, AND W. SUN, Orthogonal Spline Collocation Methods for the Navier-Stokes Equations in Stream Function and Vorticity Formulation, submitted.
-
-
-
FAIRWEATHER, G.1
MA, H.2
SUN, W.3
-
11
-
-
0032364016
-
Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
-
Y. HE AND K. LI, Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations, Numer. Math., 79 (1998), pp. 77-106.
-
(1998)
Numer. Math
, vol.79
, pp. 77-106
-
-
HE, Y.1
LI, K.2
-
12
-
-
0005503413
-
Nonlinear Galerkin method and two-step method for the Navier-Stokes equations
-
Y. HE AND K. LI, Nonlinear Galerkin method and two-step method for the Navier-Stokes equations, Numer. Methods Partial Differential Equations, 12 (1996), pp. 283-305.
-
(1996)
Numer. Methods Partial Differential Equations
, vol.12
, pp. 283-305
-
-
HE, Y.1
LI, K.2
-
13
-
-
4544337461
-
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations
-
Y. HE, Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations, SIAM J. Numer. Anal., 41 (2003), pp. 1263-1285.
-
(2003)
SIAM J. Numer. Anal
, vol.41
, pp. 1263-1285
-
-
HE, Y.1
-
14
-
-
27844565929
-
A multi-level finite element method for the time-dependent Navier-Stokes equations
-
Y. HE AND K. M. LIU, A multi-level finite element method for the time-dependent Navier-Stokes equations, Numer. Methods for Partial Differential Equations, 21 (2005), pp. 1052-1068.
-
(2005)
Numer. Methods for Partial Differential Equations
, vol.21
, pp. 1052-1068
-
-
HE, Y.1
LIU, K.M.2
-
15
-
-
0000966077
-
Finite-element approximations of the nonslationary Navier-Stokes problem. Part I: Regularity of solutions and second-order spatial discretization
-
J. G. HEYWOOD AND R. RANNACHER, Finite-element approximations of the nonslationary Navier-Stokes problem. Part I: Regularity of solutions and second-order spatial discretization, SIAM J. Numer. Anal., 19 (1982), pp. 275-311.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, pp. 275-311
-
-
HEYWOOD, J.G.1
RANNACHER, R.2
-
16
-
-
0025416424
-
Finite-element approximations of the nonstationary Navier-Stokes problem. Part IV: Error estimates for second-order time discretization
-
J. G. HEYWOOD AND R. RANNACHER, Finite-element approximations of the nonstationary Navier-Stokes problem. Part IV: Error estimates for second-order time discretization, SIAM J. Numer. Anal., 27 (1990), pp. 353-384.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 353-384
-
-
HEYWOOD, J.G.1
RANNACHER, R.2
-
17
-
-
0034288886
-
Approximation of the global attractor for the incompressible Navier-Stokes equations
-
A. T. HILL AND E. SÜLI, Approximation of the global attractor for the incompressible Navier-Stokes equations, IMA J. Numer. Anal., 20 (2000), pp. 633-667.
-
(2000)
IMA J. Numer. Anal
, vol.20
, pp. 633-667
-
-
HILL, A.T.1
SÜLI, E.2
-
19
-
-
4344609365
-
Accurate, stable and efficient Navier-Stokes slovers based on explicit treatment of the pressure term
-
H. JOHNSTON AND J.-G. LIU, Accurate, stable and efficient Navier-Stokes slovers based on explicit treatment of the pressure term, J. Comput. Phys., 199 (2004), pp. 221-259.
-
(2004)
J. Comput. Phys
, vol.199
, pp. 221-259
-
-
JOHNSTON, H.1
LIU, J.-G.2
-
20
-
-
46549092989
-
Application of a fractional-step method to incompressible Navier-Stokes equations
-
J. KIM AND P. MOIN, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59 (1985), pp. 308-323.
-
(1985)
J. Comput. Phys
, vol.59
, pp. 308-323
-
-
KIM, J.1
MOIN, P.2
-
21
-
-
0001415204
-
A regularity result for the Stokes problem in a convex polygon
-
R. B. KELLOGG AND J. E. OSBORN, A regularity result for the Stokes problem in a convex polygon, J. Funct. Anal., 21 (1976), pp. 397-431.
-
(1976)
J. Funct. Anal
, vol.21
, pp. 397-431
-
-
KELLOGG, R.B.1
OSBORN, J.E.2
-
22
-
-
0037944746
-
The long-time behavior of finite-element approximations of solutions to semilinear parabolic problems
-
S. LARSSON, The long-time behavior of finite-element approximations of solutions to semilinear parabolic problems, SIAM J. Numer. Anal., 26 (1989), pp. 348-365.
-
(1989)
SIAM J. Numer. Anal
, vol.26
, pp. 348-365
-
-
LARSSON, S.1
-
23
-
-
0025447066
-
Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions
-
Y. LIN, Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions, SIAM J. Numer. Anal., 27 (1990), pp. 608-621.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 608-621
-
-
LIN, Y.1
-
24
-
-
0042922604
-
Optimal error estimates of the Legendre Petro-Galerkin and pseudospectral methods for the generalized Korteweg-de Vries equation
-
H. MA AND W. SUN, Optimal error estimates of the Legendre Petro-Galerkin and pseudospectral methods for the generalized Korteweg-de Vries equation, SIAM J. Numer. Anal., 39 (2001), pp. 1380-1394.
-
(2001)
SIAM J. Numer. Anal
, vol.39
, pp. 1380-1394
-
-
MA, H.1
SUN, W.2
-
25
-
-
0000122159
-
-
Handb. Numer. Anal. VI, North-Holland, Amsterdam
-
M. MARION AND R. TEMAM, Navier-Stokes equations: Theory and approximation, Handb. Numer. Anal. VI, North-Holland, Amsterdam, 1998, pp. 503-688.
-
(1998)
Navier-Stokes equations: Theory and approximation
, pp. 503-688
-
-
MARION, M.1
TEMAM, R.2
-
26
-
-
33745505380
-
A finite element Gauge-Uzawa method Part I: Navier-Stokes equations
-
R. H. NOCHETTO AND J.-H. PYO, A finite element Gauge-Uzawa method Part I: Navier-Stokes equations, SIAM J. Numer. Anal., 43 (2005), pp. 1043-1068.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, pp. 1043-1068
-
-
NOCHETTO, R.H.1
PYO, J.-H.2
-
27
-
-
0001092754
-
Long time stability and convergence for fully discrete nonlinear Galerkin methods
-
J. SHEN, Long time stability and convergence for fully discrete nonlinear Galerkin methods, Appl. Anal., 38 (1990), pp. 201-229.
-
(1990)
Appl. Anal
, vol.38
, pp. 201-229
-
-
SHEN, J.1
-
28
-
-
0028196309
-
Unconditional stability and long-term behavior of transient algo-rithms for the incompressible Navier-Stokes and Euler equations
-
J. C. SIMO AND F. ARMERO, Unconditional stability and long-term behavior of transient algo-rithms for the incompressible Navier-Stokes and Euler equations, Comput. Methods Appl. Mech. Engrg., 111 (1994), pp. 111-154.
-
(1994)
Comput. Methods Appl. Mech. Engrg
, vol.111
, pp. 111-154
-
-
SIMO, J.C.1
ARMERO, F.2
-
29
-
-
0003887517
-
-
3rd ed, North-Holland, Amsterdam
-
R. TEMAM, Navier-Stokes Equations, Theory and Numerical Analysis, 3rd ed., North-Holland, Amsterdam, 1983.
-
(1983)
Navier-Stokes Equations, Theory and Numerical Analysis
-
-
TEMAM, R.1
-
30
-
-
2342543999
-
Error analysis for a second scheme for the Navier-Stokes equations
-
F. TONE, Error analysis for a second scheme for the Navier-Stokes equations, Appl. Numer. Math., 50 (2004), pp. 93-119.
-
(2004)
Appl. Numer. Math
, vol.50
, pp. 93-119
-
-
TONE, F.1
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