-
1
-
-
0002899459
-
Simulation of coupled viscous and porous flow problems
-
1 D. K. Gartling, C. E. Hickox, and R. C. Givler, Simulation of coupled viscous and porous flow problems, Comp Fluid Dyn 7 (1996), 23–48.
-
(1996)
Comp Fluid Dyn
, vol.7
, pp. 23-48
-
-
Gartling, D.K.1
Hickox, C.E.2
Givler, R.C.3
-
2
-
-
0028450252
-
Finite element formulations for large‐scale, coupled flows in adjacent porous and open fluid domains
-
2 A. G. Salinger, R. Aris, and J. J. Derby, Finite element formulations for large‐scale, coupled flows in adjacent porous and open fluid domains, Int J Numer Methods Fluids 18 (1994), 1185–1209.
-
(1994)
Int J Numer Methods Fluids
, vol.18
, pp. 1185-1209
-
-
Salinger, A.G.1
Aris, R.2
Derby, J.J.3
-
3
-
-
0347337976
-
Coupling fluid flow with porous media flow
-
3 W. Layton, F. Schieweck, and I. Yotov, Coupling fluid flow with porous media flow, SIAM J Numer Anal 40 (2003), 2195–2218.
-
(2003)
SIAM J Numer Anal
, vol.40
, pp. 2195-2218
-
-
Layton, W.1
Schieweck, F.2
Yotov, I.3
-
4
-
-
0036776588
-
Mathematical and numerical models for coupling surface and groundwater flows
-
4 E. Miglio, M. Discacciati, and A. Quarteroni, Mathematical and numerical models for coupling surface and groundwater flows, Appl Numer Math 43 (2002), 57–74.
-
(2002)
Appl Numer Math
, vol.43
, pp. 57-74
-
-
Miglio, E.1
Discacciati, M.2
Quarteroni, A.3
-
5
-
-
85120593328
-
A conforming mixed finite element method for the coupling of fluid flow with porous media flow, Preprint 06‐01, Departamento de Ingeniería Mathemática
-
5 G. Gatica, S. Meddahi, and R. Oyarzúa, A conforming mixed finite element method for the coupling of fluid flow with porous media flow, Preprint 06‐01, Departamento de Ingeniería Mathemática, Universidad de Concepción, 2006.
-
(2006)
-
-
Gatica, G.1
Meddahi, S.2
Oyarzúa, R.3
-
6
-
-
17444430004
-
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problem
-
6 B. Rivière, Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problem, J Sci Comput 22 (2005), 479–500.
-
(2005)
J Sci Comput
, vol.22
, pp. 479-500
-
-
Rivière, B.1
-
7
-
-
27744551448
-
Locally conservative coupling of Stokes and Darcy flows
-
7 B. Rivière and I. Yotov, Locally conservative coupling of Stokes and Darcy flows, SIAM J Numer Anal 42 (2005), 1959–1977.
-
(2005)
SIAM J Numer Anal
, vol.42
, pp. 1959-1977
-
-
Rivière, B.1
Yotov, I.2
-
8
-
-
85028182647
-
A computational method for approximating a Darcy‐Stokes system governing a vuggy porous medium, ICES Report 03–47
-
8 T. Arbogast and D. S. Brunson, A computational method for approximating a Darcy‐Stokes system governing a vuggy porous medium, ICES Report 03–47, University of Texas, Austin, 2003.
-
(2003)
-
-
Arbogast, T.1
Brunson, D.S.2
-
9
-
-
0019362553
-
Old and new finite elements for incompressible flows
-
9 M. Fortin, Old and new finite elements for incompressible flows, Int J Numer Methods Fluids 1 (1981), 347–364.
-
(1981)
Int J Numer Methods Fluids
, vol.1
, pp. 347-364
-
-
Fortin, M.1
-
10
-
-
27744482072
-
A family of rectangular mixed elements with a continuous flux for second order elliptic problems
-
10 T. Arbogast and M. Wheeler, A family of rectangular mixed elements with a continuous flux for second order elliptic problems, SIAM J Numer Anal 42 (2005), 1914–1931.
-
(2005)
SIAM J Numer Anal
, vol.42
, pp. 1914-1931
-
-
Arbogast, T.1
Wheeler, M.2
-
11
-
-
78149488189
-
Boundary conditions at a natural permeable wall
-
11 G. S. Beavers and D. D. Joseph, Boundary conditions at a natural permeable wall, J Fluid Mech 30 (1967), 197–207.
-
(1967)
J Fluid Mech
, vol.30
, pp. 197-207
-
-
Beavers, G.S.1
Joseph, D.D.2
-
12
-
-
0042826384
-
On the boundary conditions at the interface of a porous medium
-
12 P. G. Saffmann, On the boundary conditions at the interface of a porous medium, Studies Appl Math 1 (1973), 93–101.
-
(1973)
Studies Appl Math
, vol.1
, pp. 93-101
-
-
Saffmann, P.G.1
-
13
-
-
0344896697
-
A robust finite element method for the Darcy‐Stokes flow
-
13 K.‐A. Mardal, X.‐C. Tai, and R. Winther, A robust finite element method for the Darcy‐Stokes flow, SIAM J Numer Anal 40 (2002), 1605–1631.
-
(2002)
SIAM J Numer Anal
, vol.40
, pp. 1605-1631
-
-
Mardal, K.‐A.1
Tai, X.‐C.2
Winther, R.3
-
14
-
-
33846372237
-
A discrete de Rahm complex with enhanced smoothness
-
14 X.‐C. Tai and R. Winther, A discrete de Rahm complex with enhanced smoothness, Calcolo 43 (2006), 287–306.
-
(2006)
Calcolo
, vol.43
, pp. 287-306
-
-
Tai, X.‐C.1
Winther, R.2
-
15
-
-
0016093926
-
On the existence, uniqueness and approximation of saddle‐point problems arising from Lagrangian multipliers
-
15 F. Brezzi, On the existence, uniqueness and approximation of saddle‐point problems arising from Lagrangian multipliers, RAIRO Numer Anal 8 (1974), 129–151.
-
(1974)
RAIRO Numer Anal
, vol.8
, pp. 129-151
-
-
Brezzi, F.1
-
16
-
-
2942670777
-
Korn's inequalities for picewise H1 vector fields
-
16 S. Brenner, Korn's inequalities for picewise H 1 vector fields, Math Comput 73 (2003), 1067–1087.
-
(2003)
Math Comput
, vol.73
, pp. 1067-1087
-
-
Brenner, S.1
-
17
-
-
0003507785
-
Finite element methods for Navier Stokes equations
-
17 V. Girault and P.‐A. Raviart, Finite element methods for Navier Stokes equations, Springer, 1986.
-
(1986)
-
-
Girault, V.1
Raviart, P.‐A.2
-
18
-
-
1842459324
-
Poincaré–Friedrichs inequalities for piecewise H1 functions
-
18 S. Brenner, Poincaré–Friedrichs inequalities for piecewise H 1 functions, SIAM J Numer Anal 41 (2003), 306–324.
-
(2003)
SIAM J Numer Anal
, vol.41
, pp. 306-324
-
-
Brenner, S.1
-
19
-
-
32944468762
-
An observation on Korn's inequality for nonconforming finite element methods
-
19 K.‐A. Mardal and R. Winther, An observation on Korn's inequality for nonconforming finite element methods, Math Comput 75 (2006), 1–6.
-
(2006)
Math Comput
, vol.75
, pp. 1-6
-
-
Mardal, K.‐A.1
Winther, R.2
-
20
-
-
51249186403
-
A stable finite element for the Stokes equation
-
20 D. N. Arnold, F. Brezzi, and M. Fortin, A stable finite element for the Stokes equation, Calcolo 21 (1984), 337–344.
-
(1984)
Calcolo
, vol.21
, pp. 337-344
-
-
Arnold, D.N.1
Brezzi, F.2
Fortin, M.3
-
21
-
-
0003966593
-
Finite elements—Fast solvers and applications in solid mechanics
-
21 D. Braess, Finite elements—Fast solvers and applications in solid mechanics, 2nd Ed., Cambridge University Press, 2001.
-
(2001)
-
-
Braess, D.1
-
22
-
-
0016541865
-
Approximation by finite element functions using local regularizations
-
22 P. Clement, Approximation by finite element functions using local regularizations, RAIRO Numer Anal 9 (1975), 77–84.
-
(1975)
RAIRO Numer Anal
, vol.9
, pp. 77-84
-
-
Clement, P.1
-
23
-
-
0003881705
-
Mixed and hybrid finite element methods
-
23 F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, Springer, 1991.
-
(1991)
-
-
Brezzi, F.1
Fortin, M.2
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