-
1
-
-
0742289177
-
A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
-
Achdou Y., Bernardi C., and Coquel F. A priori and a posteriori analysis of finite volume discretizations of Darcy's equations. Numer. Math. 96 (2003) 17-42
-
(2003)
Numer. Math.
, vol.96
, pp. 17-42
-
-
Achdou, Y.1
Bernardi, C.2
Coquel, F.3
-
2
-
-
33947675924
-
A stabilized finite element method for the Stokes problem including element and edge residuals
-
Araya R., Barrenechea G.R., and Valentin F. A stabilized finite element method for the Stokes problem including element and edge residuals. IMA J. Numer. Anal. 27 (2007) 172-197
-
(2007)
IMA J. Numer. Anal.
, vol.27
, pp. 172-197
-
-
Araya, R.1
Barrenechea, G.R.2
Valentin, F.3
-
3
-
-
33847673273
-
Stabilized finite element methods based on multiscale enrichment for the Stokes problem
-
Araya R., Barrenechea G.R., and Valentin F. Stabilized finite element methods based on multiscale enrichment for the Stokes problem. SIAM J. Numer. Anal. 44 (2006) 322-348
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, pp. 322-348
-
-
Araya, R.1
Barrenechea, G.R.2
Valentin, F.3
-
5
-
-
18444389215
-
Analysis of a two-scale locally conservative subgrid upscaling for elliptic problems
-
Arbogast T. Analysis of a two-scale locally conservative subgrid upscaling for elliptic problems. SIAM J. Numer. Anal. 42 (2004) 576-598
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 576-598
-
-
Arbogast, T.1
-
6
-
-
33947642168
-
-
T. Arbogast, D. Brunson, A computational method for approximating a Darcy-Stokes system governing a Vuggy porous medium, preprint, 2005.
-
-
-
-
8
-
-
0027642848
-
A posteriori error estimates based on hierarchical bases
-
Bank R., and Smith K. A posteriori error estimates based on hierarchical bases. SIAM J. Numer. Anal. 30 (1993) 921-935
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 921-935
-
-
Bank, R.1
Smith, K.2
-
9
-
-
33947701656
-
-
G.R. Barrenechea, L.P. Franca, F. Valentin, Error analysis of a Petrov-Galerkin enriched method for the Darcy model, in preparation.
-
-
-
-
10
-
-
0036026629
-
An unusual stabilized finite element method for a generalized Stokes problem
-
Barrenechea G.R., and Valentin F. An unusual stabilized finite element method for a generalized Stokes problem. Numer. Math. 92 (2002) 653-677
-
(2002)
Numer. Math.
, vol.92
, pp. 653-677
-
-
Barrenechea, G.R.1
Valentin, F.2
-
11
-
-
27944460345
-
Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem
-
Barrenechea G.R., and Valentin F. Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem. CRAS 341 (2005) 635-640
-
(2005)
CRAS
, vol.341
, pp. 635-640
-
-
Barrenechea, G.R.1
Valentin, F.2
-
12
-
-
33644512080
-
On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles
-
Bochev P., and Gunzburger M. On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. SIAM J. Numer. Anal. 42 (2005) 340-362
-
(2005)
SIAM J. Numer. Anal.
, vol.42
, pp. 340-362
-
-
Bochev, P.1
Gunzburger, M.2
-
13
-
-
33947687269
-
-
P. Bochev, M. Gunzburger, A locally conservative least-squares method for Darcy flows, Commun. Numer. Methods Engrg., to appear.
-
-
-
-
14
-
-
0016093926
-
uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
-
Brezzi F., and existence O.t. uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO Ser. Rouge 8 (1974) 129-151
-
(1974)
RAIRO Ser. Rouge
, vol.8
, pp. 129-151
-
-
Brezzi, F.1
existence, O.t.2
-
15
-
-
0026853555
-
A relationship between stabilized finite element methods and the Galerkin method with bubble functions
-
Brezzi F., Bristeau M., Franca L., Mallet M., and Rogé G. A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Comput. Methods Appl. Mech. Engrg. 96 (1992) 117-129
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.96
, pp. 117-129
-
-
Brezzi, F.1
Bristeau, M.2
Franca, L.3
Mallet, M.4
Rogé, G.5
-
16
-
-
34250118577
-
Two families of mixed finite elements for second order elliptic problems
-
Brezzi F., Douglas J., and Marini L. Two families of mixed finite elements for second order elliptic problems. Numer. Math. 47 (1985) 217-235
-
(1985)
Numer. Math.
, vol.47
, pp. 217-235
-
-
Brezzi, F.1
Douglas, J.2
Marini, L.3
-
17
-
-
0003312979
-
Mixed and Hybrid Finite Element Methods
-
Springer-Verlag, Berlin, New York
-
Brezzi F., and Fortin M. Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics vol. 15 (1991), Springer-Verlag, Berlin, New York
-
(1991)
Springer Series in Computational Mathematics
, vol.15
-
-
Brezzi, F.1
Fortin, M.2
-
18
-
-
30944463647
-
Error analysis of constant pressure approximations of Darcy's law
-
Brezzi F., Fortin M., and Marini L. Error analysis of constant pressure approximations of Darcy's law. Comput. Methods Appl. Mech. Engrg. 195 (2006) 1547-1559
-
(2006)
Comput. Methods Appl. Mech. Engrg.
, vol.195
, pp. 1547-1559
-
-
Brezzi, F.1
Fortin, M.2
Marini, L.3
-
20
-
-
0032515215
-
Further considerations on residual-free bubbles for advective-diffusive equations
-
Brezzi F., Franca L.P., and Russo A. Further considerations on residual-free bubbles for advective-diffusive equations. Comput. Methods Appl. Mech. Engrg. 166 (1998) 25-33
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.166
, pp. 25-33
-
-
Brezzi, F.1
Franca, L.P.2
Russo, A.3
-
21
-
-
0034400351
-
Residual-free bubbles for advection-diffusion problems: the general error analysis
-
Brezzi F., Marini D., and Suli E. Residual-free bubbles for advection-diffusion problems: the general error analysis. Numer. Math. 85 (2000) 31-47
-
(2000)
Numer. Math.
, vol.85
, pp. 31-47
-
-
Brezzi, F.1
Marini, D.2
Suli, E.3
-
22
-
-
0001078341
-
Choosing bubbles for advection-diffusion problems
-
Brezzi F., and Russo A. Choosing bubbles for advection-diffusion problems. Math. Models Methods Appl. Sci. 4 (1994) 571-587
-
(1994)
Math. Models Methods Appl. Sci.
, vol.4
, pp. 571-587
-
-
Brezzi, F.1
Russo, A.2
-
23
-
-
33748428656
-
A unified stabilized method for Stokes' and Darcy's equations
-
Burman E., and Hansbo P. A unified stabilized method for Stokes' and Darcy's equations. J. Comput. Appl. Math. 198 1 (2007) 35-51
-
(2007)
J. Comput. Appl. Math.
, vol.198
, Issue.1
, pp. 35-51
-
-
Burman, E.1
Hansbo, P.2
-
24
-
-
0034448340
-
Conservative P1 conforming and nonconforming Galerkin FEMS: effective flux evaluation via a nonmixed method approach
-
Chou S., and Tanf S. Conservative P1 conforming and nonconforming Galerkin FEMS: effective flux evaluation via a nonmixed method approach. SIAM J. Numer. Anal. 38 (2000) 660-680
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 660-680
-
-
Chou, S.1
Tanf, S.2
-
25
-
-
33745585566
-
Convergence analysis of a multiscale finite element method for singularly perturbed problems
-
Franca L.P., Madureira A.L., Tobiska L., and Valentin F. Convergence analysis of a multiscale finite element method for singularly perturbed problems. SIAM Multiscale Model. Simul. 4 (2005) 839-866
-
(2005)
SIAM Multiscale Model. Simul.
, vol.4
, pp. 839-866
-
-
Franca, L.P.1
Madureira, A.L.2
Tobiska, L.3
Valentin, F.4
-
26
-
-
18144399279
-
Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
-
Franca L.P., Madureira A.L., and Valentin F. Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions. Comput. Methods Appl. Mech. Engrg. 194 (2005) 3006-3021
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, pp. 3006-3021
-
-
Franca, L.P.1
Madureira, A.L.2
Valentin, F.3
-
27
-
-
0032515205
-
On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method
-
Franca L.P., Nesliturk A., and Stynes M. On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Comput. Methods Appl. Mech. Engrg. 166 (1998) 35-49
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.166
, pp. 35-49
-
-
Franca, L.P.1
Nesliturk, A.2
Stynes, M.3
-
29
-
-
0026386228
-
Error analysis of Galerkin least squares methods for the elasticity equations
-
Franca L.P., and Stenberg R. Error analysis of Galerkin least squares methods for the elasticity equations. SIAM J. Numer. Anal. 28 (1991) 1680-1697
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1680-1697
-
-
Franca, L.P.1
Stenberg, R.2
-
30
-
-
0034351657
-
On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
-
Franca L.P., and Valentin F. On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Comput. Methods Appl. Mech. Engrg. 190 (2000) 1785-1800
-
(2000)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 1785-1800
-
-
Franca, L.P.1
Valentin, F.2
-
31
-
-
0003208901
-
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
-
Springer-Verlag, Berlin, New York
-
Girault V., and Raviart P. Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms. Springer Series in Computational Mathematics vol. 5 (1986), Springer-Verlag, Berlin, New York
-
(1986)
Springer Series in Computational Mathematics
, vol.5
-
-
Girault, V.1
Raviart, P.2
-
32
-
-
34548837833
-
Incompressible Flow and the Finite Element Method
-
J. Wiley
-
Gresho P., and Sani R. Incompressible Flow and the Finite Element Method. Isothermal Laminar Flow vol. 2 (1998), J. Wiley
-
(1998)
Isothermal Laminar Flow
, vol.2
-
-
Gresho, P.1
Sani, R.2
-
33
-
-
0031161210
-
A multiscale finite element method for elliptic problems in composite materials and porous media
-
Hou T.Y., and Wu X.-H. A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys. 134 (1997) 169-189
-
(1997)
J. Comput. Phys.
, vol.134
, pp. 169-189
-
-
Hou, T.Y.1
Wu, X.-H.2
-
34
-
-
0023450642
-
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces
-
Hughes T.J.R., and Franca L.P. A new finite element formulation for computational fluid dynamics. 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
-
35
-
-
0022810283
-
A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuska-Brezzi condition: a stable Petrov Galerkin formulation of the Stokes problem accommodating equal-order interpolations
-
Hughes T.J.R., Franca L.P., and Balestra M. A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuska-Brezzi condition: a stable Petrov Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99
-
(1986)
Comput. Methods Appl. Mech. Engrg.
, vol.59
, pp. 85-99
-
-
Hughes, T.J.R.1
Franca, L.P.2
Balestra, M.3
-
37
-
-
0002300333
-
Analysis of locally stabilised mixed finite element methods for the Stokes problem
-
Kechkar N., and Silvester D. Analysis of locally stabilised mixed finite element methods for the Stokes problem. Math. Comput. 58 (1992) 1-10
-
(1992)
Math. Comput.
, vol.58
, pp. 1-10
-
-
Kechkar, N.1
Silvester, D.2
-
38
-
-
0029489597
-
Higher-order gradient post-processing for second-order elliptic problems
-
Loula A., Rochinha F., and Murad M. Higher-order gradient post-processing for second-order elliptic problems. Compt. Methods Appl. Mech. Engrg. 128 (1995) 361-381
-
(1995)
Compt. Methods Appl. Mech. Engrg.
, vol.128
, pp. 361-381
-
-
Loula, A.1
Rochinha, F.2
Murad, M.3
-
39
-
-
0344896697
-
A robust finite element method for Darcy-Stokes flow
-
Mardal K., Tai X., and Winther R. A robust finite element method for Darcy-Stokes flow. SIAM J. Numer. Anal. 40 (2002) 1605-1631
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 1605-1631
-
-
Mardal, K.1
Tai, X.2
Winther, R.3
-
40
-
-
0037200458
-
A stabilized mixed finite element method for Darcy flow
-
Masud A., and Hughes T.J.R. A stabilized mixed finite element method for Darcy flow. Comput. Methods Appl. Mech. Engrg. 191 (2002) 4341-4370
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, pp. 4341-4370
-
-
Masud, A.1
Hughes, T.J.R.2
-
41
-
-
0000291118
-
Optimal selection of the bubble function in the stabilization of the P1-P1 element for the Stokes problem
-
Pierre R. Optimal selection of the bubble function in the stabilization of the P1-P1 element for the Stokes problem. SIAM J. Numer. Anal. 32 (1995) 1210-1224
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1210-1224
-
-
Pierre, R.1
-
42
-
-
0001175293
-
A mixed finite element method for 2nd order elliptic problems
-
Mathematical Aspect of Finite Element Methods, Springer-Verlag, New York
-
Raviart R., and Thomas J. A mixed finite element method for 2nd order elliptic problems. Mathematical Aspect of Finite Element Methods. Lecture Notes in Mathematics vol. 606 (1977), Springer-Verlag, New York 292-315
-
(1977)
Lecture Notes in Mathematics
, vol.606
, pp. 292-315
-
-
Raviart, R.1
Thomas, J.2
-
43
-
-
0034541019
-
Global and local error analysis for the residual-free bubbles method applied to advection-dominated problems
-
Sangalli G. Global and local error analysis for the residual-free bubbles method applied to advection-dominated problems. SIAM J. Numer. Anal. 38 (2000) 1496-1522
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1496-1522
-
-
Sangalli, G.1
-
44
-
-
34249971216
-
A posteriori error estimators for the Stokes problem
-
Verfurth R. A posteriori error estimators for the Stokes problem. Numer. Math. 55 (1989) 292-315
-
(1989)
Numer. Math.
, vol.55
, pp. 292-315
-
-
Verfurth, R.1
-
45
-
-
0033461695
-
A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
-
Wohlmuth B., and Hoppe R. A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. Math. Comput. 68 (1999) 1347-1378
-
(1999)
Math. Comput.
, vol.68
, pp. 1347-1378
-
-
Wohlmuth, B.1
Hoppe, R.2
|