-
1
-
-
0011953643
-
Multiscale domain decomposition methods for elliptic problems with high aspect ratios
-
J. Aarnes and T. Hou, Multiscale domain decomposition methods for elliptic problems with high aspect ratios, Acta Math. Appl. Sin. Engl. Ser., 18 (2002), pp. 63-76.
-
(2002)
Acta Math. Appl. Sin. Engl. Ser.
, vol.18
, pp. 63-76
-
-
Aarnes, J.1
Hou, T.2
-
2
-
-
55149114207
-
Mixed multiscale finite element methods using limited global information
-
J.E. Aarnes, Y. Efendiev, and L. Jiang, Mixed multiscale finite element methods using limited global information, Multiscale Model. Simul., 7 (2008), pp. 655-676.
-
(2008)
Multiscale Model. Simul.
, vol.7
, pp. 655-676
-
-
Aarnes, J.E.1
Efendiev, Y.2
Jiang, L.3
-
3
-
-
34249074153
-
A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids
-
J.E. Aarnes, S. Krogstad, and K.-A. Lie, A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids, Multiscale Model. Simul., 5 (2006), pp. 337-363.
-
(2006)
Multiscale Model. Simul.
, vol.5
, pp. 337-363
-
-
Aarnes, J.E.1
Krogstad, S.2
Lie, K.-A.3
-
4
-
-
0036927305
-
Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
-
T. Arbogast, Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow, Comput. Geosci., 6 (2002), pp. 453-481.
-
(2002)
Comput. Geosci.
, vol.6
, pp. 453-481
-
-
Arbogast, T.1
-
5
-
-
39549092855
-
A multiscale mortar mixed finite element method
-
T. Arbogast, G. Pencheva, M.F. Wheeler, and I. Yotov, A multiscale mortar mixed finite element method, Multiscale Model. Simul., 6 (2007), pp. 319-346.
-
(2007)
Multiscale Model. Simul.
, vol.6
, pp. 319-346
-
-
Arbogast, T.1
Pencheva, G.2
Wheeler, M.F.3
Yotov, I.4
-
6
-
-
0003957050
-
-
Springer-Verlag, New York
-
S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods, Texts Appl. Math. 15, Springer-Verlag, New York, 1994.
-
(1994)
The Mathematical Theory of Finite Element Methods, Texts Appl. Math.
, vol.15
-
-
Brenner, S.C.1
Scott, L.R.2
-
7
-
-
1842479841
-
-
pAMGe), SIAM J. Sci. Comput., 25 (2003), pp. 1-26.
-
(2003)
pAMGe), SIAM J. Sci. Comput.
, vol.25
, pp. 1-26
-
-
Chartier, T.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.4
Manteuffel, T.5
McCormick, S.6
Ruge, J.7
Vassilevski, P.S.8
-
8
-
-
55349117513
-
Spectral element agglomerate AMGe
-
Springer-Verlag, Berlin, Heidelberg
-
T. Chartier, R. Falgout, V.E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P.S. Vassilevski, Spectral element agglomerate AMGe, in Domain Decomposition Methods in Science and Engineering XVI, Lect. Notes Comput. Sci. Eng. 55, Springer-Verlag, Berlin, Heidelberg, 2007, pp. 515-524.
-
(2007)
Domain Decomposition Methods in Science and Engineering XVI, Lect. Notes Comput. Sci. Eng.
, vol.55
, pp. 515-524
-
-
Chartier, T.1
Falgout, R.2
Henson, V.E.3
Jones, J.4
Manteuffel, T.5
McCormick, S.6
Ruge, J.7
Vassilevski, P.S.8
-
9
-
-
0141539144
-
A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations
-
Y. Chen, L.J. Durlofsky, M. Gerritsen, and X.H. Wen, A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations, Adv. in Water Res., 26 (2003), pp. 1041-1060.
-
(2003)
Adv. in Water Res.
, vol.26
, pp. 1041-1060
-
-
Chen, Y.1
Durlofsky, L.J.2
Gerritsen, M.3
Wen, X.H.4
-
10
-
-
4344693508
-
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
-
A. Damlamian and P. Donato, Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?, ESAIM Control Optim. Calc. Var., 8 (2002), pp. 555-585.
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.8
, pp. 555-585
-
-
Damlamian, A.1
Donato, P.2
-
13
-
-
0000713961
-
Convergence of a nonconforming multiscale finite element method
-
Y.R. Efendiev, T.Y. Hou, and X.-H. Wu, Convergence of a nonconforming multiscale finite element method, SIAM J. Numer. Anal., 37 (2000), pp. 888-910.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 888-910
-
-
Efendiev, Y.R.1
Hou, T.Y.2
Wu, X.-H.3
-
14
-
-
34249880401
-
Domain decomposition for multiscale PDEs
-
I.G. Graham, P.O. 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.O.2
Scheichl, R.3
-
16
-
-
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
-
17
-
-
0032203197
-
The variational multiscale method-A paradigm for computational mechanics
-
T. Hughes, G. Feijoo, L. Mazzei, and J. Quincy, The variational multiscale method-A paradigm for computational mechanics, Comput. Methods Appl. Mech. Engrg, 166 (1998), pp. 3-24.
-
(1998)
Comput. Methods Appl. Mech. Engrg
, vol.166
, pp. 3-24
-
-
Hughes, T.1
Feijoo, G.2
Mazzei, L.3
Quincy, J.4
-
18
-
-
0037408094
-
Multi-scale finite volume method for elliptic problems in subsurface flow simulation
-
P. Jenny, S.H. Lee, and H. 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.3
-
19
-
-
0004080182
-
-
Springer-Verlag, Berlin
-
V. Jikov, S. Kozlov, and O. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994.
-
(1994)
Homogenization of Differential Operators and Integral Functionals
-
-
Jikov, V.1
Kozlov, S.2
Oleinik, O.3
-
23
-
-
56549129453
-
Analysis of FETI methods for multiscale PDEs
-
C. Pechstein and R. Scheichl, Analysis of FETI methods for multiscale PDEs, Numer. Math., 111 (2008), pp. 293-333.
-
(2008)
Numer. Math.
, vol.111
, pp. 293-333
-
-
Pechstein, C.1
Scheichl, R.2
-
24
-
-
0031519837
-
Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
-
M. Sarkis, Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements, Numer. Math., 77 (1997), pp. 383- 406.
-
(1997)
Numer. Math.
, vol.77
, pp. 383-406
-
-
Sarkis, M.1
-
25
-
-
55349126017
-
Partition of unity coarse spaces: Enhanced versions, discontinuous coefficients and applications to elasticity
-
M. Sarkis, Partition of unity coarse spaces: Enhanced versions, discontinuous coefficients and applications to elasticity, in Domain Decomposition Methods in Science and Engineering, Natl. Auton. Univ. Mex., México, 2003, pp. 149-158.
-
(2003)
Domain Decomposition Methods in Science and Engineering, Natl. Auton. Univ. Mex., México
, pp. 149-158
-
-
Sarkis, M.1
-
26
-
-
14044267617
-
-
Springer-Verlag, Berlin
-
A. Toselli and O. Widlund, Domain Decomposition Methods-Algorithms and Theory, Springer Ser. Comput. Math. 34, Springer-Verlag, Berlin, 2005.
-
(2005)
Domain Decomposition Methods-Algorithms and Theory, Springer Ser. Comput. Math.
, vol.34
-
-
Toselli, A.1
Widlund, O.2
-
27
-
-
33750160340
-
On an energy minimizing basis for algebraic multigrid methods
-
J. Xu and L. Zikanov, On an energy minimizing basis for algebraic multigrid methods, Comput. Vis. Sci., 7 (2004), pp. 121-127.
-
(2004)
Comput. Vis. Sci.
, vol.7
, pp. 121-127
-
-
Xu, J.1
Zikanov, L.2
-
28
-
-
0032290868
-
Some nonoverlapping domain decomposition methods
-
J. Xu and J. Zou, Some nonoverlapping domain decomposition methods, SIAM Rev., 40 (1998), pp. 857-914.
-
(1998)
SIAM Rev.
, vol.40
, pp. 857-914
-
-
Xu, J.1
Zou, J.2
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