-
1
-
-
0036924061
-
An introduction to multipoint flux approximations for quadrilateral grids
-
10.1023/A:1021291114475
-
I. Aavatsmark, An introduction to multipoint flux approximations for quadrilateral grids, Comput. Geosci. 6 (2002) 404-432. 10.1023/ A:1021291114475
-
(2002)
Comput. Geosci.
, vol.6
, pp. 404-432
-
-
Aavatsmark, I.1
-
2
-
-
11544279515
-
Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods
-
10.1137/S1064827595293594
-
I. Aavatsmark, T. Barkve, Ø. Bøe and T. Mannseth, Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods, SIAM J. Sci. Comput. 19 (1998) 1700-1716. 10.1137/S1064827595293594
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1700-1716
-
-
Aavatsmark, I.1
Barkve, T.2
Bøe, Ø.3
Mannseth, T.4
-
3
-
-
11544277985
-
Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results
-
10.1137/S1064827595293594
-
I. Aavatsmark, T. Barkve, Ø. Bøe and T. Mannseth, Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results, SIAM J. Sci. Comput. 19 (1998) 1717-1736. 10.1137/S1064827595293594
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1717-1736
-
-
Aavatsmark, I.1
Barkve, T.2
Bøe, Ø.3
Mannseth, T.4
-
4
-
-
0032090249
-
Control-volume discretization methods for 3D quadrilateral grids in inhomogeneous, anisotropic reservoirs
-
I. Aavatsmark, T. Barkve and T. Mannseth, Control-volume discretization methods for 3D quadrilateral grids in inhomogeneous, anisotropic reservoirs, SPE Journal 3 (1998) 146-154.
-
(1998)
SPE Journal
, vol.3
, pp. 146-154
-
-
Aavatsmark, I.1
Barkve, T.2
Mannseth, T.3
-
5
-
-
11744378418
-
Enhanced cell-centered finite differences for elliptic equations on general geometry
-
10.1137/S1064827594264545
-
T. Arbogast, C.N. Dawson, P.T. Keenan, M.F. Wheeler and I. Yotov, Enhanced cell-centered finite differences for elliptic equations on general geometry, SIAM J. Sci. Comput. 19 (1998) 404-425. 10.1137/ S1064827594264545
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 404-425
-
-
Arbogast, T.1
Dawson, C.N.2
Keenan, P.T.3
Wheeler, M.F.4
Yotov, I.5
-
6
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
-
10.1137/S0036142994262585
-
T. Arbogast, M.F. Wheeler and I. Yotov, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. Numer. Anal. 34 (1997) 828-852. 10.1137/ S0036142994262585
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 828-852
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
8
-
-
0035708126
-
Convergence of mimetic finite difference discretizations of the diffusion equation
-
M. Berndt, K. Lipnukov, J.D. Moulton and M. Shashkov, Convergence of mimetic finite difference discretizations of the diffusion equation, East-West J. Numer. Math. 9 (2001) 253-316.
-
(2001)
East-West J. Numer. Math.
, vol.9
, pp. 253-316
-
-
Berndt, M.1
Lipnukov, K.2
Moulton, J.D.3
Shashkov, M.4
-
10
-
-
0031544742
-
Control-volume mixed finite element methods
-
10.1023/A:1011577530905
-
Z. Cai, J.E. Jones, S.F. McCormick and T.F. Russell, Control-volume mixed finite element methods, Comput. Geosci. 1 (1997) 289-315. 10.1023/ A:1011577530905
-
(1997)
Comput. Geosci.
, vol.1
, pp. 289-315
-
-
Cai, Z.1
Jones, J.E.2
McCormick, S.F.3
Russell, T.F.4
-
11
-
-
0035452999
-
A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case
-
10.1137/S003614290037544X
-
S. Chou, D.Y. Kwak and K.Y. Kim, A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case, SIAM J. Numer. Anal. 39 (2001) 1170-1196. 10.1137/S003614290037544X
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1170-1196
-
-
Chou, S.1
Kwak, D.Y.2
Kim, K.Y.3
-
12
-
-
0028562727
-
Accuracy of mixed and control-volume finite element approximations to Darcy velocity and related quantities
-
10.1029/94WR00061
-
L.J. Durlofsky, Accuracy of mixed and control-volume finite element approximations to Darcy velocity and related quantities, Water Resourc. Res. 30 (1994) 965-973. 10.1029/94WR00061
-
(1994)
Water Resourc. Res.
, vol.30
, pp. 965-973
-
-
Durlofsky, L.J.1
-
13
-
-
0036923067
-
Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids
-
10.1023/A:1021243231313
-
M.G. Edwards, Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids, Comput. Geosci. 6 (2002) 433-452. 10.1023/A:1021243231313
-
(2002)
Comput. Geosci.
, vol.6
, pp. 433-452
-
-
Edwards, M.G.1
-
14
-
-
13844301158
-
Special Issue on Locally Conservative Numerical Methods for Flow in Porous Media
-
ed
-
M.G. Edwards, R.D. Lazarov and I. Yotov, ed., Special Issue on Locally Conservative Numerical Methods for Flow in Porous Media, Comput. Geosci. 6(3/4) (2002).
-
(2002)
Comput. Geosci.
, vol.6
, Issue.3-4
-
-
Edwards, M.G.1
Lazarov, R.D.2
Yotov, I.3
-
16
-
-
0032460761
-
Finite volume discretization with imposed flux continuity for the general tensor pressure equation
-
10.1023/A:1011510505406
-
M.G. Edwards and C.F. Rogers, Finite volume discretization with imposed flux continuity for the general tensor pressure equation, Comput. Geosci. 2 (1998) 259-290. 10.1023/A:1011510505406
-
(1998)
Comput. Geosci.
, vol.2
, pp. 259-290
-
-
Edwards, M.G.1
Rogers, C.F.2
-
17
-
-
0036927494
-
Symmetry and M-matrix issues for the O-method on an unstructured grid
-
10.1023/A:1021239130404
-
G.T. Eigestad, I. Aavatsmark and M. Espedal, Symmetry and M-matrix issues for the O-method on an unstructured grid, Comput. Geosci. 6 (2002) 381-404. 10.1023/A:1021239130404
-
(2002)
Comput. Geosci.
, vol.6
, pp. 381-404
-
-
Eigestad, G.T.1
Aavatsmark, I.2
Espedal, M.3
-
18
-
-
22144468185
-
On the convergence of the MPFA O-method; Numerical experiments for discontinuous media
-
accepted
-
G.T. Eigestad and R.A. Klausen: On the convergence of the MPFA O-method; Numerical experiments for discontinuous media, Numer. Methods Partial Differential Equations (2004) accepted.
-
(2004)
Numer. Methods Partial Differential Equations
-
-
Eigestad, G.T.1
Klausen, R.A.2
-
19
-
-
0001367937
-
Superconvergence of mixed finite element approximation over quadrilaterals
-
10.1137/S0036142997322801
-
R.E. Ewing, M. Liu and J. Wang, Superconvergence of mixed finite element approximation over quadrilaterals, SIAM J. Numer. Anal. 36 (1999) 772-787. 10.1137/S0036142997322801
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 772-787
-
-
Ewing, R.E.1
Liu, M.2
Wang, J.3
-
20
-
-
0036923031
-
Mimetic finite difference methods for diffusion equations
-
10.1023/A:1021282912658
-
J. Hyman, J. Morel, M. Shashkov and S. Steinberg, Mimetic finite difference methods for diffusion equations, Comput. Geosci. 6 (2002) 333-352. 10.1023/A:1021282912658
-
(2002)
Comput. Geosci.
, vol.6
, pp. 333-352
-
-
Hyman, J.1
Morel, J.2
Shashkov, M.3
Steinberg, S.4
-
21
-
-
0000536753
-
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
-
10.1006/jcph.1996.5633
-
J. Hyman, M. Shashkov and S. Steinberg, The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials, J. Comput. Phys. 132 (1997) 130-148. 10.1006/jcph.1996.5633
-
(1997)
J. Comput. Phys.
, vol.132
, pp. 130-148
-
-
Hyman, J.1
Shashkov, M.2
Steinberg, S.3
-
22
-
-
22144441475
-
Multi-point flux approximations and finite element methods; practical aspects of discontinuous media
-
Cannes, France (30 August-2 September 2004)
-
R.A. Klausen and G.T. Eigestad, Multi-point flux approximations and finite element methods; practical aspects of discontinuous media, in: Proc. of ECMOR IX, Cannes, France (30 August-2 September 2004).
-
Proc. of ECMOR IX
-
-
Klausen, R.A.1
Eigestad, G.T.2
-
23
-
-
0036924076
-
A finite-volume method with hexahedral multi-block grids for modeling low in porous media
-
10.1023/A:1021287013566
-
S.H. Lee, P. Jenny and H.A. Tchelepi, A finite-volume method with hexahedral multi-block grids for modeling low in porous media, Comput. Geosci. 6 (2002) 353-379. 10.1023/A:1021287013566
-
(2002)
Comput. Geosci.
, vol.6
, pp. 353-379
-
-
Lee, S.H.1
Jenny, P.2
Tchelepi, H.A.3
-
24
-
-
0022077278
-
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method
-
L.D. Marini, An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method, SIAM J. Numer. Anal. 22(3) (1985).
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, Issue.3
-
-
Marini, L.D.1
-
25
-
-
0036927302
-
Nonconforming finite volume methods
-
10.1023/A:1021214424953
-
I. Mishev, Nonconforming finite volume methods, Comput. Geosci. 6 (2002) 253-268. 10.1023/A:1021214424953
-
(2002)
Comput. Geosci.
, vol.6
, pp. 253-268
-
-
Mishev, I.1
-
26
-
-
0028669967
-
Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity?
-
10.1029/94WR01786
-
R. Mosé, P. Siegel, P. Ackerer and G. Chavent, Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity? Water Resourc. Res. 30 (1994) 3001-3012. 10.1029/ 94WR01786
-
(1994)
Water Resourc. Res.
, vol.30
, pp. 3001-3012
-
-
Mosé, R.1
Siegel, P.2
Ackerer, P.3
Chavent, G.4
-
27
-
-
0036929306
-
Shape functions for velocity interpolation on general hexahedral cells
-
10.1023/A:1021218525861
-
R.L. Naff, T.F. Russel and J.D. Wilson, Shape functions for velocity interpolation on general hexahedral cells, Comput. Geosci. 6 (2002) 285-314. 10.1023/A:1021218525861
-
(2002)
Comput. Geosci.
, vol.6
, pp. 285-314
-
-
Naff, R.L.1
Russel, T.F.2
Wilson, J.D.3
-
28
-
-
22144455129
-
Monotonicity conditions for control-volume methods on uniform parallelogram grids in homogeneous media
-
submitted
-
J.M. Nordbotten and I. Aavatsmark, Monotonicity conditions for control-volume methods on uniform parallelogram grids in homogeneous media, submitted.
-
-
-
Nordbotten, J.M.1
Aavatsmark, I.2
-
29
-
-
0001175293
-
A mixed finite element method for 2nd order elliptic problems
-
eds. I. Galligani E. Magenes Springer New York Lecture Notes in Mathematics
-
P.A. Raviart J.M. Thomas 1977 A mixed finite element method for 2nd order elliptic problems eds. I. Galligani E. Magenes Mathematical Aspects of Finite Element Methods Lecture Notes in Mathematics 606 Springer New York 292-315
-
(1977)
Mathematical Aspects of Finite Element Methods
, vol.606
, pp. 292-315
-
-
Raviart, P.A.1
Thomas, J.M.2
-
30
-
-
0012311613
-
Relationships among some conservative discretization methods
-
ed. Z. Chen Lecture Notes in Physics Springer Heidelberg
-
T.F. Russell 2000 Relationships among some conservative discretization methods ed. Z. Chen Numerical Treatment of Multiphase Flows in Porous Media Lecture Notes in Physics 552 Springer Heidelberg 267-282
-
(2000)
Numerical Treatment of Multiphase Flows in Porous Media
, vol.552
, pp. 267-282
-
-
Russell, T.F.1
-
31
-
-
85096889357
-
Finite element and finite difference methods for continuous flows in porous media
-
ed. R.E. Ewing Frontiers in Applied Mathematics SIAM Philadelphia, PA
-
T.F. Russell M.F. Wheeler 1983 Finite element and finite difference methods for continuous flows in porous media ed. R.E. Ewing The Mathematics of Reservoir Simulation Frontiers in Applied Mathematics 1 SIAM Philadelphia, PA 35-106
-
(1983)
The Mathematics of Reservoir Simulation
, vol.1
, pp. 35-106
-
-
Russell, T.F.1
Wheeler, M.F.2
-
33
-
-
0030525010
-
Solving diffusion equations with rough coefficients in rough grids
-
10.1006/jcph.1996.0257
-
M. Shashkov and S. Steinberg, Solving diffusion equations with rough coefficients in rough grids, J. Comput. Phys. 129 (1996) 383-405. 10.1006/jcph.1996.0257
-
(1996)
J. Comput. Phys.
, vol.129
, pp. 383-405
-
-
Shashkov, M.1
Steinberg, S.2
-
36
-
-
0036932039
-
Enhanced velocity mixed methods for flow in multiblock domains
-
10.1023/A:1021270509932
-
J.A. Wheeler, M.F. Wheeler and I. Yotov, Enhanced velocity mixed methods for flow in multiblock domains, Comput. Geosci. 6 (2002) 315-332. 10.1023/A:1021270509932
-
(2002)
Comput. Geosci.
, vol.6
, pp. 315-332
-
-
Wheeler, J.A.1
Wheeler, M.F.2
Yotov, I.3
|