-
1
-
-
2942612789
-
Tenth SPE comparative solution project: A comparison of upscaling techniques
-
M.A. Christie and M.J. Blunt, Tenth SPE comparative solution project: A comparison of upscaling techniques, SPE Reservoir Eng. 12 (2001), pp. 308-317.
-
(2001)
SPE Reservoir Eng.
, vol.12
, pp. 308-317
-
-
Christie, M.A.1
Blunt, M.J.2
-
2
-
-
0013079987
-
Parallel computation of flow in heterogeneous media modelled by mixed finite elements
-
K.A. Cliffe, I.G. Graham, R. Scheichl, and L. Stals, Parallel computation of flow in heterogeneous media modelled by mixed finite elements, J. Comput. Phys. 164 (2000), pp. 258-282.
-
(2000)
J. Comput. Phys.
, vol.164
, pp. 258-282
-
-
Cliffe, K.A.1
Graham, I.G.2
Scheichl, R.3
Stals, L.4
-
4
-
-
0031260069
-
Calculating equivalent permeability: A review
-
P. Renard and G. de Marsily, Calculating equivalent permeability: A review, Adv. Water. Resour. 20 (1997), pp. 253-278.
-
(1997)
Adv. Water. Resour.
, vol.20
, pp. 253-278
-
-
Renard, P.1
de Marsily, G.2
-
5
-
-
0030455072
-
Upscaling hydraulic conductivities in heterogeneous media: An overview
-
X.-H. Wen and J.J. Gomez-Hernandez, Upscaling hydraulic conductivities in heterogeneous media: An overview, J. Hydrol. 183 (1996), pp. ix-xxxii.
-
(1996)
J. Hydrol.
, vol.183
-
-
Wen, X.-H.1
Gomez-Hernandez, J.J.2
-
6
-
-
0029405472
-
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
-
T.J.R. Hughes, Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods, Comput. Meth. Appl. Mech. Eng. 127 (1995), pp. 387-401.
-
(1995)
Comput. Meth. Appl. Mech. Eng.
, vol.127
, pp. 387-401
-
-
Hughes, T.J.R.1
-
7
-
-
0031161210
-
A multiscale finite element method for elliptic problems in composite materials and porous media
-
T.Y. Hou and X.H. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys. 134 (1997), pp. 169-189.
-
(1997)
J. Comput. Phys.
, vol.134
, pp. 169-189
-
-
Hou, T.Y.1
Wu, X.H.2
-
8
-
-
85128805678
-
The heterogeneous multi-scale method
-
E. Weinan and B. Engquist, The heterogeneous multi-scale method, Comm. Math. Sci. 1 (2003), pp. 87-132.
-
(2003)
Comm. Math. Sci.
, vol.1
, pp. 87-132
-
-
Weinan, E.1
Engquist, B.2
-
9
-
-
0037408094
-
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
-
P. Jenny, S.H. Lee, and H.A. Tchelepi, Multi-scale finite-volume method for elliptic problems in subsurface flow simulation, J. Comput. Phys. 187 (2003), pp. 47-67.
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 47-67
-
-
Jenny, P.1
Lee, S.H.2
Tchelepi, H.A.3
-
10
-
-
51549103361
-
On the relationship between the multiscale finitevolume method and domain decomposition preconditioners
-
J.M. Nordbotten and P.E. Bjørstad, On the relationship between the multiscale finitevolume method and domain decomposition preconditioners, Comput. Geosci. 12 (2008), pp. 367-376.
-
(2008)
Comput. Geosci.
, vol.12
, pp. 367-376
-
-
Nordbotten, J.M.1
Bjørstad, P.E.2
-
11
-
-
0002438068
-
Algebraic multigrid (AMG) for sparse matrix equations
-
D.J. Evans, ed., Cambridge University Press, Cambridge
-
A. Brandt, S. McCormick, and J.W. Ruge, Algebraic multigrid (AMG) for sparse matrix equations, in Sparsity and its Applications, D.J. Evans, ed., Cambridge University Press, Cambridge, 1984, pp. 257-284.
-
(1984)
Sparsity and its Applications
, pp. 257-284
-
-
Brandt, A.1
McCormick, S.2
Ruge, J.W.3
-
12
-
-
0001885411
-
Algebraic multigrid
-
Frontiers of Applied Mathematics, S.F. McCormick, ed., SIAM, Philadelphia
-
J.W. Ruge and K. Stü ben, Algebraic multigrid, in Multigrid methods, Frontiers of Applied Mathematics, Vol. 3, S.F. McCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
-
(1987)
Multigrid Methods
, vol.3
, pp. 73-130
-
-
Ruge, J.W.1
Stü, K.2
-
13
-
-
43949139588
-
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients
-
X.J. Xu and Y. Zhu, Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients, Math. Mod. Meth. Appl. Sci. 18(1) (2008), pp. 77-105.
-
(2008)
Math. Mod. Meth. Appl. Sci.
, vol.18
, Issue.1
, pp. 77-105
-
-
Xu, X.J.1
Zhu, Y.2
-
14
-
-
47849116645
-
Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems
-
B. Aksoylu, I.G. Graham, H. Klie, and R. Scheichl, Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems, Comput. Visual. Sci. 11 (2008), pp. 319-331.
-
(2008)
Comput. Visual. Sci.
, vol.11
, pp. 319-331
-
-
Aksoylu, B.1
Graham, I.G.2
Klie, H.3
Scheichl, R.4
-
15
-
-
84974325009
-
Domain decomposition methods
-
Cambridge University Press, Cambridge
-
T.F. Chan and T. Mathew, Domain decomposition methods, Acta Numerica, Cambridge University Press, Cambridge, 2004, pp. 61-143.
-
(2004)
Acta Numerica
, pp. 61-143
-
-
Chan, T.F.1
Mathew, T.2
-
17
-
-
34249880401
-
Domain decomposition for multiscale PDEs
-
I.G. Graham, P. Lechner, and R. Scheichl, Domain decomposition for multiscale PDEs, Numer. Math. 106 (2007), pp. 589-626.
-
(2007)
Numer. Math.
, vol.106
, pp. 589-626
-
-
Graham, I.G.1
Lechner, P.2
Scheichl, R.3
-
18
-
-
34547273405
-
Robust domain decomposition algorithms for multiscale PDEs
-
I.G. Graham and R. Scheichl, Robust domain decomposition algorithms for multiscale PDEs, Numer. Meth. Part. Diff. Eqns. 23 (2007), pp. 859-878.
-
(2007)
Numer. Meth. Part. Diff. Eqns.
, vol.23
, pp. 859-878
-
-
Graham, I.G.1
Scheichl, R.2
-
19
-
-
56549129453
-
Analysis of FETI methods for multiscale PDEs
-
C. Pechstein and R. Scheichl, Analysis of FETI methods for multiscale PDEs, Numer. Math. 111(2) (2008), pp. 293-333.
-
(2008)
Numer. Math.
, vol.111
, Issue.2
, pp. 293-333
-
-
Pechstein, C.1
Scheichl, R.2
-
21
-
-
34548454586
-
Additive Schwarz and aggregation-based coarsening for elliptic problems with highly variable coefficients
-
R. Scheichl and E. Vainikko, Additive Schwarz and aggregation-based coarsening for elliptic problems with highly variable coefficients, Computing 80(4) (2007), pp. 319-343.
-
(2007)
Computing
, vol.80
, Issue.4
, pp. 319-343
-
-
Scheichl, R.1
Vainikko, E.2
-
22
-
-
70349608544
-
Energy minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs
-
J. Van Lent, R. Scheichl, and I.G. Graham, Energy minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs, Numer. Linear Algebra Appl. 16(10) (2009), pp. 775-799.
-
(2009)
Numer. Linear Algebra Appl.
, vol.16
, Issue.10
, pp. 775-799
-
-
van Lent, J.1
Scheichl, R.2
Graham, I.G.3
-
23
-
-
0001677218
-
Black-Box multigrid
-
J.E. Dendy, Black-box multigrid, J. Comput. Phys. 48 (1982), pp. 366-386.
-
(1982)
J. Comput. Phys.
, vol.48
, pp. 366-386
-
-
Dendy, J.E.1
-
24
-
-
0032228727
-
Matrix-dependent multigrid homogenization for diffusion problems
-
S. Knapek, Matrix-dependent multigrid homogenization for diffusion problems, SIAM J. Sci. Comput. 20 (1998), pp. 515-533.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 515-533
-
-
Knapek, S.1
-
25
-
-
33645748300
-
Multilevel upscaling through variational coarsening
-
S.P. MacLachlan and J.D. Moulton, Multilevel upscaling through variational coarsening, Water Resour. Res. 42 (2006), p. W02418.
-
(2006)
Water Resour. Res.
, vol.42
-
-
MacLachlan, S.P.1
Moulton, J.D.2
-
26
-
-
0010567576
-
The black box multigrid numerical homogenization algorithm
-
J.D. Moulton, J.E. Dendy, and J.M. Hyman, The black box multigrid numerical homogenization algorithm, J. Comput. Phys. 142 (1998), pp. 80-108.
-
(1998)
J. Comput. Phys.
, vol.142
, pp. 80-108
-
-
Moulton, J.D.1
Dendy, J.E.2
Hyman, J.M.3
-
27
-
-
0002102851
-
A Schwarz alternating method in a subspace
-
A.M. Matsokin and S.V. Nepomnyaschikh, A Schwarz alternating method in a subspace, Soviet Math. 29(10) (1985), pp. 78-84.
-
(1985)
Soviet Math.
, vol.29
, Issue.10
, pp. 78-84
-
-
Matsokin, A.M.1
Nepomnyaschikh, S.V.2
-
29
-
-
0026239487
-
A method of finite element tearing and interconnecting and its parallel solution algorithm
-
C. Farhat and F.-X. Roux, A method of finite element tearing and interconnecting and its parallel solution algorithm, Int. J. Numer. Meth. Eng. 32 (1991), pp. 1205-1227.
-
(1991)
Int. J. Numer. Meth. Eng.
, vol.32
, pp. 1205-1227
-
-
Farhat, C.1
Roux, F.-X.2
-
30
-
-
0035073391
-
FETI-DP: A dual-primal unified FETI method I: A faster alternative to the two-level FETI method
-
C. Farhat, M. Lesoinne, P. Le Tallec, K. Pierson, and D. Rixen, FETI-DP: A dual-primal unified FETI method I: A faster alternative to the two-level FETI method, Int. J. Numer. Meth. Eng. 50 (2001), pp. 1523-1544.
-
(2001)
Int. J. Numer. Meth. Eng.
, vol.50
, pp. 1523-1544
-
-
Farhat, C.1
Lesoinne, M.2
Le Tallec, P.3
Pierson, K.4
Rixen, D.5
-
31
-
-
33845499690
-
Total FETI: An easier implementable variant of the FETI method for numerical solution of elliptic PDE
-
Z. Dostál, D. Horák, and R. Kučera, Total FETI: An easier implementable variant of the FETI method for numerical solution of elliptic PDE, Commun. Numer. Methods Eng. 22 (2006), pp. 1155-1162.
-
(2006)
Commun. Numer. Methods Eng.
, vol.22
, pp. 1155-1162
-
-
Dostál, Z.1
Horák, D.2
Kučera, R.3
-
32
-
-
70449809242
-
The all-floating BETI: Numerical results, in Domain Decomposition Methods in Science and Engineering XVII
-
U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, and W. Zulehner, eds., Springer, Berlin
-
G. Of, The all-floating BETI method: Numerical results, in Domain Decomposition Methods in Science and Engineering XVII, Lecture Notes in Computational Science and Engineering 60, U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, and W. Zulehner, eds., Springer, Berlin, 2008, pp. 295-302.
-
(2008)
Lecture Notes in Computational Science and Engineering 60
, pp. 295-302
-
-
Of, G.1
-
33
-
-
0035526706
-
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
-
A. Klawonn and O.B. Widlund, FETI and Neumann-Neumann iterative substructuring methods: Connections and new results, Comm. Pure Appl. Math. 54 (2001), pp. 57-90.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, pp. 57-90
-
-
Klawonn, A.1
Widlund, O.B.2
-
34
-
-
33845717162
-
Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems
-
U. Langer and C. Pechstein, Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems, Z. Angew. Math. Mech. 86 (2006), pp. 915-931.
-
(2006)
Z. Angew. Math. Mech.
, vol.86
, pp. 915-931
-
-
Langer, U.1
Pechstein, C.2
-
35
-
-
0033079432
-
A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
-
D. Rixen and C. Farhat, A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, Int. J. Numer. Meth. Eng. 44 (1999), pp. 489-516.
-
(1999)
Int. J. Numer. Meth. Eng.
, vol.44
, pp. 489-516
-
-
Rixen, D.1
Farhat, C.2
-
37
-
-
33751098480
-
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
-
A. Klawonn and O. Rheinbach, Robust FETI-DP methods for heterogeneous three dimensional elasticity problems, Comput. Methods Appl. Mech. Eng. 196 (2007), pp. 1400-1414.
-
(2007)
Comput. Methods Appl. Mech. Eng.
, vol.196
, pp. 1400-1414
-
-
Klawonn, A.1
Rheinbach, O.2
-
38
-
-
33645469409
-
FETI-DP, BDDC, and block Cholesky methods
-
J. Li and O.B. Widlund, FETI-DP, BDDC, and block Cholesky methods, Int. J. Numer. Meth. Eng. 66 (2006), pp. 250-271.
-
(2006)
Int. J. Numer. Meth. Eng.
, vol.66
, pp. 250-271
-
-
Li, J.1
Widlund, O.B.2
-
39
-
-
0036556595
-
Dual-primal FETI methods for threedimensional elliptic problems with heterogeneous coefficients
-
A. Klawonn, O.B. Widlund, and M. Dryja, Dual-primal FETI methods for threedimensional elliptic problems with heterogeneous coefficients, SIAM J. Numer. Anal. 40 (2002), pp. 159-179.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 159-179
-
-
Klawonn, A.1
Widlund, O.B.2
Dryja, M.3
|