-
1
-
-
38949212525
-
Multiscale methods for advection-diffusion problems
-
A. Abdulle, Multiscale methods for advection-diffusion problems, Discrete Contin. Dyn. Syst., suppl (2005), 11-21.
-
(2005)
Discrete Contin. Dyn. Syst.
, Issue.SUPPL
, pp. 11-21
-
-
Abdulle, A.1
-
2
-
-
33645988923
-
On a priori error analysis of fully discrete heterogeneous multiscale FEM
-
(electronic)
-
A. Abdulle, On a priori error analysis of fully discrete heterogeneous multiscale FEM, Multiscale Model. Simul., 4 (2005), 447-459 (electronic).
-
(2005)
Multiscale Model. Simul.
, vol.4
, pp. 447-459
-
-
Abdulle, A.1
-
3
-
-
0141682262
-
Finite difference heterogeneous multi-scale method for homogenization problems
-
W. E
-
A. Abdulle and W. E, Finite difference heterogeneous multi-scale method for homogenization problems, J. Comput. Phys., 191 (2003), 18-39.
-
(2003)
J. Comput. Phys.
, vol.191
, pp. 18-39
-
-
Abdulle, A.1
-
4
-
-
17644387561
-
Heterogeneous multiscale FEM for diffusion problems on rough surfaces
-
(electronic)
-
A. Abdulle and C. Schwab, Heterogeneous multiscale FEM for diffusion problems on rough surfaces, Multiscale Model. Simul., 3 (2004/05), 195-220 (electronic).
-
(2004)
Multiscale Model. Simul.
, vol.3
, pp. 195-220
-
-
Abdulle, A.1
Schwab, C.2
-
5
-
-
38949131935
-
Homogenization of periodic non self-adjoint problems with large drift and potential
-
(electronic)
-
G. Allaire and R. Orive, Homogenization of periodic non self-adjoint problems with large drift and potential, ESAIM Control Optim. Calc. Var., 13 (2007), 735-749 (electronic).
-
(2007)
ESAIM Control Optim. Calc. Var.
, vol.13
, pp. 735-749
-
-
Allaire, G.1
Orive, R.2
-
6
-
-
55349135095
-
-
(French), Rapport Interne, CMAP, Ecole Polytechnique, n. 604
-
G. Allaire and A.-L. Raphael, "Homogénéisation d'un Modèle de Convection-Diffusion Avec Chimie/Adsorption en Milieu Poreux," (French), Rapport Interne, CMAP, Ecole Polytechnique, n. 604, 2006.
-
(2006)
Homogénéisation d'un Modèle de Convection-Diffusion Avec Chimie/Adsorption en Milieu Poreux
-
-
Allaire, G.1
Raphael, A.-L.2
-
7
-
-
34247347818
-
Homogenization of a convection-diffusion model with reaction in a porous medium
-
G. Allaire and A.-L. Raphael, Homogenization of a convection-diffusion model with reaction in a porous medium, C. R. Math. Acad. Sci. Paris, 344 (2007), 523-528.
-
(2007)
C. R. Math. Acad. Sci. Paris
, vol.344
, pp. 523-528
-
-
Allaire, G.1
Raphael, A.-L.2
-
8
-
-
39549092855
-
A multiscale mortar mixed finite element method
-
(electronic)
-
T. Arbogast, G. Pencheva, M. F. Wheeler and I. Yotov, A multiscale mortar mixed finite element method, Multiscale Model. Simul., 6 (2007), 319-346 (electronic).
-
(2007)
Multiscale Model. Simul.
, vol.6
, pp. 319-346
-
-
Arbogast, T.1
Pencheva, G.2
Wheeler, M.F.3
Yotov, I.4
-
9
-
-
0034210140
-
An elementary model for the validation of flamelet approximations in non-premixed turbulent combustion
-
A. Bourlioux and A. J. Majda, An elementary model for the validation of flamelet approximations in non-premixed turbulent combustion, Combust. Theory Model., 4 (2000), 189-210.
-
(2000)
Combust. Theory Model.
, vol.4
, pp. 189-210
-
-
Bourlioux, A.1
Majda, A.J.2
-
10
-
-
85128805678
-
The heterogeneous multiscale methods
-
W. E
-
W. E and B. Engquist, The heterogeneous multiscale methods, Commun. Math. Sci., 1 (2003), 87-132.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 87-132
-
-
Engquist, B.1
-
11
-
-
7244239706
-
Multiscale modeling and computation
-
W. E
-
W. E and B. Engquist, Multiscale modeling and computation, Notices Amer. Math. Soc., 50 (2003), 1062-1070.
-
(2003)
Notices Amer. Math. Soc.
, vol.50
, pp. 1062-1070
-
-
Engquist, B.1
-
12
-
-
84880282987
-
The heterogeneous multi-scale method for homogenization problems, in "Multiscale Methods in Science And Engineering,"
-
W. E. Springer, Berlin
-
W. E and B. Engquist, The heterogeneous multi-scale method for homogenization problems, in "Multiscale Methods in Science And Engineering," Lect. Notes Comput. Sci. Eng., 44, Springer, Berlin, (2005), 89-110.
-
(2005)
Lect. Notes Comput. Sci. Eng.
, vol.44
, pp. 89-110
-
-
Engquist, B.1
-
13
-
-
13644268174
-
Analysis of the heterogeneous multiscale method for elliptic homogenization problems
-
W. E
-
W. E, P. Ming and P. Zhang, Analysis of the heterogeneous multiscale method for elliptic homogenization problems, J. Amer. Math. Soc., 18 (2005), 121-156 (electronic).
-
(2005)
J. Amer. Math. Soc.
, vol.18
, pp. 121-156
-
-
Ming, P.1
Zhang, P.2
-
14
-
-
34247117648
-
Multiscale finite element methods for porous media flows and their applications
-
Y. Efendiev and T. Hou, Multiscale finite element methods for porous media flows and their applications, Appl. Numer. Math., 57 (2007), 577-596.
-
(2007)
Appl. Numer. Math.
, vol.57
, pp. 577-596
-
-
Efendiev, Y.1
Hou, T.2
-
15
-
-
34347388899
-
A 'divide-and-conquer' spatial and temporal multiscale method for transient convection-diffusion-reaction equations
-
V. Gravemeier and W. A. Wall, A 'divide-and-conquer' spatial and temporal multiscale method for transient convection-diffusion-reaction equations, Internat. J. Numer. Methods Fluids, 54 (2007), 779-804.
-
(2007)
Internat. J. Numer. Methods Fluids
, vol.54
, pp. 779-804
-
-
Gravemeier, V.1
Wall, W.A.2
-
17
-
-
84888278837
-
A note on homogenization of advection-diffusion problems with large expected drift, submitted to: ZAA
-
P. Henning and M. Ohlberger, A note on homogenization of advection-diffusion problems with large expected drift, submitted to: ZAA, Journal for Analysis and its Applications, 2010.
-
(2010)
Journal for Analysis and its Applications
-
-
Henning, P.1
Ohlberger, M.2
-
18
-
-
70350769417
-
The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains
-
P. Henning and M. Ohlberger, The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains, Numer. Math., 113 (2009), 601-629.
-
(2009)
Numer. Math.
, vol.113
, pp. 601-629
-
-
Henning, P.1
Ohlberger, M.2
-
19
-
-
17644363709
-
High-dimensional finite elements for elliptic problems with multiple scales
-
(electronic)
-
V. Hoang and C. Schwab, High-dimensional finite elements for elliptic problems with multiple scales, Multiscale Model. Simul., 3 (2004/05), 168-194 (electronic).
-
(2004)
Multiscale Model. Simul.
, vol.3
, pp. 168-194
-
-
Hoang, V.1
Schwab, C.2
-
20
-
-
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), 169-189.
-
(1997)
J. Comput. Phys.
, vol.134
, pp. 169-189
-
-
Hou, T.Y.1
Wu, X.-H.2
-
21
-
-
0039982148
-
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
-
T. Y. Hou, X.-H. Wu and C. Zhiqiang, Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Math. Comp., 68 (1999), 913-943.
-
(1999)
Math. Comp.
, vol.68
, pp. 913-943
-
-
Hou, T.Y.1
Wu, X.-H.2
Zhiqiang, C.3
-
22
-
-
37349068598
-
Multiscale methods for parabolic equations with continuum spatial scales
-
(electronic)
-
L. Jiang, Y. Efendiev and V. Ginting, Multiscale methods for parabolic equations with continuum spatial scales, Discrete Contin. Dyn. Syst. Ser. B, 8 (2007), 833-859 (electronic).
-
(2007)
Discrete Contin. Dyn. Syst. Ser. B
, vol.8
, pp. 833-859
-
-
Jiang, L.1
Efendiev, Y.2
Ginting, V.3
-
23
-
-
26244444341
-
Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection
-
(electronic)
-
E. Marušić-Paloka and A. L. Piatnitski, Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection, J. London Math. Soc. (2), 72 (2005), 391-409 (electronic).
-
(2005)
J. London Math. Soc.
, vol.72
, Issue.2
, pp. 391-409
-
-
Marušić-Paloka, E.1
Piatnitski, A.L.2
-
24
-
-
0042015246
-
Sparse two-scale FEM for homogenization problems. Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01) (Uppsala)
-
A.-M. Matache, Sparse two-scale FEM for homogenization problems. Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01) (Uppsala), J. Sci. Comput., 17 (2002), 659-669.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 659-669
-
-
Matache, A.-M.1
-
26
-
-
54149091405
-
Analysis of the heterogeneous multiscale method for parabolic homogenization problems
-
(electronic)
-
P. Ming and P. Zhang, Analysis of the heterogeneous multiscale method for parabolic homogenization problems, Math. Comp., 76 (2007), 153-177 (electronic).
-
(2007)
Math. Comp.
, vol.76
, pp. 153-177
-
-
Ming, P.1
Zhang, P.2
-
27
-
-
55249095137
-
A framework for adaptive multiscale methods for elliptic problems
-
J. Nolen, G. Papanicolaou and O. Pironneau, A framework for adaptive multiscale methods for elliptic problems, Multiscale Model. Simul., 7 (2008), 171-196.
-
(2008)
Multiscale Model. Simul.
, vol.7
, pp. 171-196
-
-
Nolen, J.1
Papanicolaou, G.2
Pironneau, O.3
-
28
-
-
0003071531
-
Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I. Error estimates and adaptive algorithms
-
J. T. Oden and K. S. Vemaganti, Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I. Error estimates and adaptive algorithms, J. Comput. Phys., 164 (2000), 22-47.
-
(2000)
J. Comput. Phys.
, vol.164
, pp. 22-47
-
-
Oden, J.T.1
Vemaganti, K.S.2
-
29
-
-
33644783757
-
A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems
-
(electronic)
-
M. Ohlberger, A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems, Multiscale Model. Simul., 4 (2005), 88-114 (electronic).
-
(2005)
Multiscale Model. Simul.
, vol.4
, pp. 88-114
-
-
Ohlberger, M.1
-
30
-
-
13644261985
-
Generalized FEM for homogenization problems, in "Multiscale and Multiresolution Methods,"
-
Springer, Berlin
-
C. Schwab and A.-M. Matache, Generalized FEM for homogenization problems, in "Multiscale and Multiresolution Methods," Lect. Notes Comput. Sci. Eng., 20, Springer, Berlin, (2002), 197-237.
-
(2002)
Lect. Notes Comput. Sci. Eng.
, vol.20
, pp. 197-237
-
-
Schwab, C.1
Matache, A.-M.2
-
31
-
-
0003345958
-
Galerkin Finite Element Methods for Parabolic Problems
-
Springer-Verlag, Berlin
-
V. Thomée, "Galerkin Finite Element Methods for Parabolic Problems," Springer Series in Computational Mathematics, 25, Springer-Verlag, Berlin, 1997.
-
(1997)
Springer Series in Computational Mathematics
, vol.25
-
-
Thomée, V.1
-
32
-
-
0035860221
-
Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. II. A computational environment for adaptive modeling of heterogeneous elastic solids
-
K. S. Vemaganti and J. T. Oden, Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. II. A computational environment for adaptive modeling of heterogeneous elastic solids, Comput. Methods Appl. Mech. Engrg., 190 (2001), 46-47.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 46-47
-
-
Vemaganti, K.S.1
Oden, J.T.2
|