-
1
-
-
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), 189-213.
-
(1994)
Numer. Math.
, vol.68
, pp. 189-213
-
-
Ait, A.1
Ammi, O.2
Marion, M.3
-
2
-
-
33644535997
-
A Posteriori error estimator for finite element discretizations of quasi-Newtonian flows
-
A. Agouzal, A Posteriori error estimator for finite element discretizations of quasi-Newtonian flows, International Journal of Numerical Analysis and Modeling, 2 (2005), 221-239.
-
(2005)
International Journal of Numerical Analysis and Modeling
, vol.2
, pp. 221-239
-
-
Agouzal, A.1
-
3
-
-
0001023383
-
Stability of finite elements under divergence constraints
-
J. Boland and R. A. Nicolaides, Stability of finite elements under divergence constraints, SIAM J. Numer. Anal., 20 (1983), 722-731.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 722-731
-
-
Boland, J.1
Nicolaides, R.A.2
-
4
-
-
0003385001
-
Error estimates for finite element solution of the Stokes problem in the primitive variables
-
J. Bercovier and O. Pironneau, Error estimates for finite element solution of the Stokes problem in the primitive variables, Numer. Math., 33 (1979), 211-224.
-
(1979)
Numer. Math.
, vol.33
, pp. 211-224
-
-
Bercovier, J.1
Pironneau, O.2
-
5
-
-
84966214346
-
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
-
J. H. Bramble and J. E. Pasciak, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems, Math. Comp., 50 (1988), 1-16.
-
(1988)
Math. Comp.
, vol.50
, pp. 1-16
-
-
Bramble, J.H.1
Pasciak, J.E.2
-
6
-
-
0003130485
-
On the stabilisation of finite element approximations of the Stokes problems
-
(W. Hackbusch, ed.), Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig
-
F. Brezzi and J. Pitkäranta, On the stabilisation of finite element approximations of the Stokes problems, Efficient Solutions of Elliptic Systems(W. Hackbusch, ed.), Notes on Numerical Fluid Mechanics, Vol. 10, Vieweg, Braunschweig, 1984, 11-19.
-
(1984)
Efficient Solutions of Elliptic Systems
, vol.10
, pp. 11-19
-
-
Brezzi, F.1
Pitkäranta, J.2
-
7
-
-
0022077035
-
A conforming finite element method for the time dependent Navier-Stokes equations
-
C. Bernardi and G. Raugel, A conforming finite element method for the time dependent Navier-Stokes equations, SIAM J. Numer. Anal., 22 (1985), 455-473.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 455-473
-
-
Bernardi, C.1
Raugel, G.2
-
8
-
-
33644539124
-
Edge stabilization for the generalized Stokes problem: A continuous interior penalty method
-
Chalmers Finite Element Center
-
E. Burman and P. Hansbo, Edge stabilization for the generalized Stokes problem: a continuous interior penalty method, Technical Report 2003-16, Chalmers Finite Element Center, 2003.
-
(2003)
Technical Report 2003-16
-
-
Burman, E.1
Hansbo, P.2
-
11
-
-
0037855869
-
A modified nonlinear Galerkin method for the viscoelastic fluid motion equations
-
J.R. Cannon, R.E. Ewing, Yinnian He and Yanping Lin, A modified nonlinear Galerkin method for the viscoelastic fluid motion equations, Internat. J. Engrg. Sci., 37 (1999), 1643-1662.
-
(1999)
Internat. J. Engrg. Sci.
, vol.37
, pp. 1643-1662
-
-
Cannon, J.R.1
Ewing, R.E.2
He, Y.3
Lin, Y.4
-
13
-
-
84966220003
-
A absolutely stabilized finite element method for the Stokes problem
-
J. Douglas, Jr. and J. Wang, A absolutely stabilized finite element method for the Stokes problem, Math. Comp., 52 (1989), 495-508.
-
(1989)
Math. Comp.
, vol.52
, pp. 495-508
-
-
Douglas Jr., J.1
Wang, J.2
-
14
-
-
0026928030
-
Stabilized finite element methods, II: The incompressible Navier-Stokes equations
-
L. P. Franca and S. L. Frey, Stabilized finite element methods, II: The incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 99 (1992), 209-233.
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.99
, pp. 209-233
-
-
Franca, L.P.1
Frey, S.L.2
-
16
-
-
0000051734
-
Postprocessing the Galerkin method: The finite element case
-
B. Garcia-Archilia and E. S. Titi, Postprocessing the Galerkin method: The finite element case, SIAM J. Numer. Anal., 37 (1995), 470-499.
-
(1995)
SIAM J. Numer. Anal.
, vol.37
, pp. 470-499
-
-
Garcia-Archilia, B.1
Titi, E.S.2
-
17
-
-
33644519850
-
Nonstandard nonconforming approximation of the Stokes problem, I: Periodic boundary conditions
-
Jean Luc Guermond, Nonstandard nonconforming approximation of the Stokes problem, I: Periodic boundary conditions, International Journal of Numerical Analysis and Modeling, 2 (2005), 345-354.
-
(2005)
International Journal of Numerical Analysis and Modeling
, vol.2
, pp. 345-354
-
-
Guermond, J.L.1
-
18
-
-
0025547284
-
A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
-
P. Hansbo and A. Szepessy, A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 84 (1990), 175-192
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.84
, pp. 175-192
-
-
Hansbo, P.1
Szepessy, A.2
-
19
-
-
0142199773
-
A fully discrete stabilized finite element method for the time-dependent Navier-Stokes problem
-
Yinnian He, A fully discrete stabilized finite element method for the time-dependent Navier-Stokes problem, IMA J. Numer. Anal., 23 (2003), 665-691.
-
(2003)
IMA J. Numer. Anal.
, vol.23
, pp. 665-691
-
-
He, Y.1
-
20
-
-
0032364016
-
Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
-
Yinnian He and Kaitai Li, Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations, Numer. Math., 79 (1998), 77-106.
-
(1998)
Numer. Math.
, vol.79
, pp. 77-106
-
-
He, Y.1
Li, K.2
-
21
-
-
20344375713
-
Stabilized finite element method for the stationary Navier-Stokes equations
-
Yinnian He, Aiwen Wang and Liqun Mei, Stabilized finite element method for the stationary Navier-Stokes equations, J. Engineering Mathematics, 51 (2005), 367-380.
-
(2005)
J. Engineering Mathematics
, vol.51
, pp. 367-380
-
-
He, Y.1
Wang, A.2
Mei, L.3
-
22
-
-
84968486864
-
An error estimate uniform in time for spectral Galerkin approximations of the Navier-Stokes problem
-
J. G. Heywood, An error estimate uniform in time for spectral Galerkin approximations of the Navier-Stokes problem, Pacific J. Math., 98 (1982), 333-345.
-
(1982)
Pacific J. Math.
, vol.98
, pp. 333-345
-
-
Heywood, J.G.1
-
23
-
-
0023450642
-
A new finite element formulation for CFD: VII. the Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
-
T. J. R. Hughes and L. P. Franca, A new finite element formulation for CFD: VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces, Comput. Methods Appl. Mech. Engrg., 65 (1987), 85-96.
-
(1987)
Comput. Methods Appl. Mech. Engrg.
, vol.65
, pp. 85-96
-
-
Hughes, T.J.R.1
Franca, L.P.2
-
24
-
-
0034288886
-
Approximation of the global attractor for the incompressible Navier-Stokes problem
-
A. T. Hill &: E.Süli, Approximation of the global attractor for the incompressible Navier-Stokes problem, IMA J. Numer. Anal., 20 (2000), 633-667.
-
(2000)
IMA J. Numer. Anal.
, vol.20
, pp. 633-667
-
-
Hill, A.T.1
Süli, E.2
-
25
-
-
0000966077
-
Finite element approximation of the nonstationary Navier-Stokes problem I: Regularity of solutions and second-order error estimates for spatial discretization
-
J. G. Heywood and R. Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem I: Regularity of solutions and second-order error estimates for spatial discretization, SIAM J. Numer. Anal., 19 (1982), 275-311.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 275-311
-
-
Heywood, J.G.1
Rannacher, R.2
-
26
-
-
0022767064
-
Finite element approximation of the nonstationary Navier-Stokes problem II: Stability of solutions and error estimates uniform in time
-
J. G. Heywood and R. Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem II: Stability of solutions and error estimates uniform in time, SIAM J. Numer. Anal., 23 (1986), 750-776.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 750-776
-
-
Heywood, J.G.1
Rannacher, R.2
-
27
-
-
84966256937
-
Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations
-
C. Johnson and J. Saranen, Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations, Math. Comp., 47 (1986), 1-18.
-
(1986)
Math. Comp.
, vol.47
, pp. 1-18
-
-
Johnson, C.1
Saranen, J.2
-
28
-
-
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), 397-431.
-
(1976)
J. Funct. Anal.
, vol.21
, pp. 397-431
-
-
Kellogg, R.B.1
Osborn, J.E.2
-
29
-
-
0033294668
-
A posteriori error estimation for stabilized mixed approximations of the Stokes equations
-
D. Kay and D. Silvester, A posteriori error estimation for stabilized mixed approximations of the Stokes equations, SIAM J. Sci. Comput., 21 (2000), 1321-1336.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1321-1336
-
-
Kay, D.1
Silvester, D.2
-
30
-
-
0002300333
-
Analysis of locally stabilized mixed finite element methods for the Stokes problem
-
N. Kechkar and D. Silvester, Analysis of locally stabilized mixed finite element methods for the Stokes problem, Math. Comp., 58 (1992), 1-10.
-
(1992)
Math. Comp.
, vol.58
, pp. 1-10
-
-
Kechkar, N.1
Silvester, D.2
-
31
-
-
0004951446
-
A two-level method with backtraking for the Navier-Stokes equations
-
W. Layton and L. Tobiska, A two-level method with backtraking for the Navier-Stokes equations, SIAM J. Numer. Anal., 35 (1998), 2035-2054.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2035-2054
-
-
Layton, W.1
Tobiska, L.2
-
32
-
-
33644537282
-
Taylor expansion algorithm for the branching solution of the Navier-Stokes equations
-
Kaitai Li and Yinnian He, Taylor expansion algorithm for the branching solution of the Navier-Stokes equations, International Journal of Numerical Analysis and Modeling, 2 (2005), 459-478.
-
(2005)
International Journal of Numerical Analysis and Modeling
, vol.2
, pp. 459-478
-
-
Li, K.1
He, Y.2
-
33
-
-
0000752968
-
Error estimates on a new nonlinear Galerkin method based on two-grad finite elements
-
M. Marion and J. Xu, Error estimates on a new nonlinear Galerkin method based on two-grad finite elements, SIAM J. Numer. Anal., 32 (1995), 1170-1184.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1170-1184
-
-
Marion, M.1
Xu, J.2
-
34
-
-
0019353782
-
The cause and cure(?) of the spuious pressures generated by certain finite element method solutions of the incompressible Navier-Stokes equations
-
R. L. Sani, P. M. Gresho, R. L. Lee and D. F. Griffiths, The cause and cure(?) of the spuious pressures generated by certain finite element method solutions of the incompressible Navier-Stokes equations, Parts 1 and 2, Internat J. Numer. Methods Fluids, 1 (1981), 17-43; 171-204.
-
(1981)
Parts 1 and 2, Internat J. Numer. Methods Fluids
, vol.1
, pp. 17-43
-
-
Sani, R.L.1
Gresho, P.M.2
Lee, R.L.3
Griffiths, D.F.4
-
35
-
-
0025404289
-
Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem
-
D. J. Silvester and N. Kechkar, Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem, Comput. Methods Appl. Mech. Engrg., 79 (1990), 71-86.
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.79
, pp. 71-86
-
-
Silvester, D.J.1
Kechkar, N.2
-
36
-
-
84968512389
-
Analysis of mixed finite elements for the Stokes problem: A unified approach
-
R. Stenberg, Analysis of mixed finite elements for the Stokes problem: A unified approach, Math. Comp., 42 (1984), 9-23.
-
(1984)
Math. Comp.
, vol.42
, pp. 9-23
-
-
Stenberg, R.1
-
37
-
-
0003887517
-
-
North-Holland, Amsterdam
-
R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis, Third ed., North-Holland, Amsterdam, 1983.
-
(1983)
Navier-Stokes Equations, Theory and Numerical Analysis, Third Ed.
-
-
Temam, R.1
-
39
-
-
0000935072
-
Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations
-
T. Tobiska and R. Verfurth, Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations, SIAM J. Numer. Anal., 33 (1996), 107-127.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 107-127
-
-
Tobiska, T.1
Verfurth, R.2
-
40
-
-
0021418230
-
A multilevel algorithm for mixed problems
-
R. Verfürth, A multilevel algorithm for mixed problems, SIAM J. Numer. Anal., 21 (1984), 264-271.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 264-271
-
-
Verfürth, R.1
-
41
-
-
0000752968
-
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements
-
J. Xu, Error estimates on a new nonlinear Galerkin method based on two-grid finite elements, SIAM J. Numer. Anal., 32 (1995), 1170-1184.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1170-1184
-
-
Xu, J.1
|