-
1
-
-
0023242924
-
Viscous fingering in porous media
-
Homsy G.M. Viscous fingering in porous media. Ann. Rev. Fluid. Mech. 19 (1987) 271-311
-
(1987)
Ann. Rev. Fluid. Mech.
, vol.19
, pp. 271-311
-
-
Homsy, G.M.1
-
2
-
-
0036962026
-
A two-scale numerical subgrid technique for waterflood simulations
-
Arbogast T., and Bryant S.L. A two-scale numerical subgrid technique for waterflood simulations. SPE J. (2002) 446-457
-
(2002)
SPE J.
, pp. 446-457
-
-
Arbogast, T.1
Bryant, S.L.2
-
3
-
-
0029405472
-
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods
-
Hughes T.J.R. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods. Comp. Meth. Appl. Mech. Eng. 127 (1995) 387-401
-
(1995)
Comp. Meth. Appl. Mech. Eng.
, vol.127
, pp. 387-401
-
-
Hughes, T.J.R.1
-
4
-
-
85128805678
-
The heterogeneous multiscale methods
-
Engquist W.E.B. The heterogeneous multiscale methods. Comm. Math. Sci. 1 1 (2003) 87-133
-
(2003)
Comm. Math. Sci.
, vol.1
, Issue.1
, pp. 87-133
-
-
Engquist, W.E.B.1
-
5
-
-
85190277238
-
-
P.B. Ming, P.W. Zhang, Analysis of the heterogeneous multiscale method for elliptic homogenization problems, preprint, 2003.
-
-
-
-
6
-
-
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
-
7
-
-
28444496198
-
Generalized finite element methods: main ideas, results and perspective
-
Babuska I., Banerjee U., and Osborn J. Generalized finite element methods: main ideas, results and perspective. Int. J. Comput. Meth. 1 (2004) 67-103
-
(2004)
Int. J. Comput. Meth.
, vol.1
, pp. 67-103
-
-
Babuska, I.1
Banerjee, U.2
Osborn, J.3
-
8
-
-
3042732038
-
Capturing small scales in elliptic problems using a residual-free bubbles finite element method
-
Sangalli G. Capturing small scales in elliptic problems using a residual-free bubbles finite element method. SIAM MMS 1 (2003) 485-503
-
(2003)
SIAM MMS
, vol.1
, pp. 485-503
-
-
Sangalli, G.1
-
10
-
-
0032496593
-
Probabilistic characterization of transport in heterogeneous porous media
-
Ghanem R. Probabilistic characterization of transport in heterogeneous porous media. Comput. Methods Appl. Mech. Eng. 158 (1998) 199-220
-
(1998)
Comput. Methods Appl. Mech. Eng.
, vol.158
, pp. 199-220
-
-
Ghanem, R.1
-
11
-
-
0037159819
-
Mid-frequency structural dynamics with parameter uncertainty
-
Ghanem R., and Sarkar A. Mid-frequency structural dynamics with parameter uncertainty. Comput. Methods Appl. Mech. Eng. 191 (2002) 5499-5513
-
(2002)
Comput. Methods Appl. Mech. Eng.
, vol.191
, pp. 5499-5513
-
-
Ghanem, R.1
Sarkar, A.2
-
12
-
-
0037184252
-
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods Appl. Mech. Eng. 191 (2002) 4927-4948
-
(2002)
Comput. Methods Appl. Mech. Eng.
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
-
13
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comp. Phys. 187 (2003) 137-167
-
(2003)
J. Comp. Phys.
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
14
-
-
13844314882
-
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
-
Babuska I., Tempone R., and Zouraris G.E. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Comput. Methods Appl. Mech. Eng. 194 (2005) 1251-1294
-
(2005)
Comput. Methods Appl. Mech. Eng.
, vol.194
, pp. 1251-1294
-
-
Babuska, I.1
Tempone, R.2
Zouraris, G.E.3
-
15
-
-
13844319204
-
Galerkin finite elements approximation of stochastic finite elements
-
Babuska I., Tempone R., and Zouraris G.E. Galerkin finite elements approximation of stochastic finite elements. SIAM J. Numer. Anal. 42 (2004) 800-825
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 800-825
-
-
Babuska, I.1
Tempone, R.2
Zouraris, G.E.3
-
16
-
-
34548411142
-
Performance evaluation of generalized polynomial chaos
-
International Conference on Computational Science, Springer
-
Xiu D., Lucor D., Su C.-H., and Karniadakis G.E. Performance evaluation of generalized polynomial chaos. International Conference on Computational Science. Lecture Notes in Computer Science vol. 2660 (2003), Springer 346-354
-
(2003)
Lecture Notes in Computer Science
, vol.2660
, pp. 346-354
-
-
Xiu, D.1
Lucor, D.2
Su, C.-H.3
Karniadakis, G.E.4
-
17
-
-
85190287066
-
-
B. Ganapathysubramanian, N. Zabaras, Sparse grid collocation schemes for stochastic natural convection problems, J. Comp. Physics (2007), doi:10.1016/j.jcp.2006.12.014.
-
-
-
-
18
-
-
33646577797
-
High-order collocation methods for the differential equation with random inputs
-
Xiu D., and Hesthaven J.S. High-order collocation methods for the differential equation with random inputs. SIAM J. Sci. Comput. 27 (2005) 1118-1139
-
(2005)
SIAM J. Sci. Comput.
, vol.27
, pp. 1118-1139
-
-
Xiu, D.1
Hesthaven, J.S.2
-
19
-
-
34447270699
-
Efficient collocational approach for parametric uncertainty analysis
-
Xiu D. Efficient collocational approach for parametric uncertainty analysis. Comm. Comput. Phys. 2 2 (2007) 293-309
-
(2007)
Comm. Comput. Phys.
, vol.2
, Issue.2
, pp. 293-309
-
-
Xiu, D.1
-
20
-
-
21444449245
-
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
-
Wan X., and Karniadakis G.E. An adaptive multi-element generalized polynomial chaos method for stochastic differential equations. J. Comp. Phys. 209 (2005) 617-642
-
(2005)
J. Comp. Phys.
, vol.209
, pp. 617-642
-
-
Wan, X.1
Karniadakis, G.E.2
-
21
-
-
19044387138
-
Using stochastic analysis to capture unstable equilibrium in natural convection
-
Velamur Asokan B., and Zabaras N. Using stochastic analysis to capture unstable equilibrium in natural convection. J. Comp. Phys. 208 (2005) 134-153
-
(2005)
J. Comp. Phys.
, vol.208
, pp. 134-153
-
-
Velamur Asokan, B.1
Zabaras, N.2
-
22
-
-
85190306207
-
-
I. Babuska, F. Nobile, R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, ICES Report 05-47, 2005.
-
-
-
-
23
-
-
85190238026
-
-
F. Nobile, R. Tempone, C.G. Webster, A sparse grid stochastic collocation method for elliptic partial differential equations with random input data, preprint.
-
-
-
-
24
-
-
0242440688
-
Numerical integration using sparse grids
-
Gerstner T., and Griebel M. Numerical integration using sparse grids. Numer. Algor. 18 (1998) 209-232
-
(1998)
Numer. Algor.
, vol.18
, pp. 209-232
-
-
Gerstner, T.1
Griebel, M.2
-
25
-
-
0034381734
-
High-dimensional polynomial interpolation on sparse grids
-
Barthelmann V., Novak E., and Ritter K. High-dimensional polynomial interpolation on sparse grids. Adv. Comput. Math. 12 (2000) 273-288
-
(2000)
Adv. Comput. Math.
, vol.12
, pp. 273-288
-
-
Barthelmann, V.1
Novak, E.2
Ritter, K.3
-
26
-
-
85190277676
-
-
A. Klimke, Uncertainty Modeling using Fuzzy Arithmetic and Sparse Grids, PhD Thesis, Universität Stuttgart, Shaker Verlag, Aachen, 2006.
-
-
-
-
27
-
-
33748882856
-
A stochastic variational multiscale method for diffusion in random heterogeneous media
-
Velamur Asokan B., and Zabaras N. A stochastic variational multiscale method for diffusion in random heterogeneous media. J. Comp. Phys. 218 (2006) 654-676
-
(2006)
J. Comp. Phys.
, vol.218
, pp. 654-676
-
-
Velamur Asokan, B.1
Zabaras, N.2
-
28
-
-
84986296677
-
A two-scale non-perturbative approach to uncertainty analysis of diffusion in random composites
-
Xiu D., and Tartakovsky D.M. A two-scale non-perturbative approach to uncertainty analysis of diffusion in random composites. SIAM J. Multiscale Model. Simul. 2 (2004) 662-674
-
(2004)
SIAM J. Multiscale Model. Simul.
, vol.2
, pp. 662-674
-
-
Xiu, D.1
Tartakovsky, D.M.2
-
29
-
-
33746495084
-
On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data
-
Doostan A., and Ghanem R. On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data. J. Comp. Phys. 217 (2006) 63-81
-
(2006)
J. Comp. Phys.
, vol.217
, pp. 63-81
-
-
Doostan, A.1
Ghanem, R.2
-
32
-
-
0036702786
-
Groundwater flow in heterogeneous composite aquifers
-
Winter C.L., and Tartakovsky D.M. Groundwater flow in heterogeneous composite aquifers. Water Resour. Res. 38 (2002) 23.1-23.11
-
(2002)
Water Resour. Res.
, vol.38
-
-
Winter, C.L.1
Tartakovsky, D.M.2
-
33
-
-
33646514831
-
Maximum likelihood estimation of stochastic chaos representations from experimental data
-
Desceliers C., Ghanem R., and Soize C. Maximum likelihood estimation of stochastic chaos representations from experimental data. Int. J. Numer. Meth. Eng. 66 (2006) 978-1001
-
(2006)
Int. J. Numer. Meth. Eng.
, vol.66
, pp. 978-1001
-
-
Desceliers, C.1
Ghanem, R.2
Soize, C.3
-
34
-
-
33746263951
-
Probabilistic characterization and simulation of multi-phase random media
-
Koutsourelakis P.S. Probabilistic characterization and simulation of multi-phase random media. Probabil. Eng. Mech. 21 (2006) 227-234
-
(2006)
Probabil. Eng. Mech.
, vol.21
, pp. 227-234
-
-
Koutsourelakis, P.S.1
-
35
-
-
33847738332
-
Computing property variability of polycrystals induced by grain size and orientation uncertainties
-
Sankaran S., and Zabaras N. Computing property variability of polycrystals induced by grain size and orientation uncertainties. Acta Mater. 55 (2007) 2279-2290
-
(2007)
Acta Mater.
, vol.55
, pp. 2279-2290
-
-
Sankaran, S.1
Zabaras, N.2
-
37
-
-
0001232137
-
Reconstructing random media. II. Three-dimensional media from two-dimensional cuts
-
Yeong C.L.Y., and Torquato S. Reconstructing random media. II. Three-dimensional media from two-dimensional cuts. Phys. Rev. E 58 (1998) 224-233
-
(1998)
Phys. Rev. E
, vol.58
, pp. 224-233
-
-
Yeong, C.L.Y.1
Torquato, S.2
-
38
-
-
0036040847
-
Statistical description of microstructures
-
Torquato S. Statistical description of microstructures. Ann. Rev. Mater. Sci. 32 (2002) 77-111
-
(2002)
Ann. Rev. Mater. Sci.
, vol.32
, pp. 77-111
-
-
Torquato, S.1
-
39
-
-
0001554978
-
Efficient simulation technique to compute effective properties of heterogeneous media
-
Torquato S., and Kim I.C. Efficient simulation technique to compute effective properties of heterogeneous media. Appl. Phys. Lett. 55 (1989) 1847-1849
-
(1989)
Appl. Phys. Lett.
, vol.55
, pp. 1847-1849
-
-
Torquato, S.1
Kim, I.C.2
-
40
-
-
0035934133
-
Gaussian random fields with two level-cuts - model for asymmetric microemulsions with nonzero spontaneous curvature
-
Arleth L., Marčelja S., and Zemb T. Gaussian random fields with two level-cuts - model for asymmetric microemulsions with nonzero spontaneous curvature. J. Chem. Phys. 115 8 (2001) 3923-3936
-
(2001)
J. Chem. Phys.
, vol.115
, Issue.8
, pp. 3923-3936
-
-
Arleth, L.1
Marčelja, S.2
Zemb, T.3
-
41
-
-
0000386663
-
Structure property correlations in model composite materials
-
Roberts A.P., and Knackstedt M.A. Structure property correlations in model composite materials. Phys. Rev. E 54 (1996) 2313-2328
-
(1996)
Phys. Rev. E
, vol.54
, pp. 2313-2328
-
-
Roberts, A.P.1
Knackstedt, M.A.2
-
42
-
-
0033323222
-
Elastic properties of a tungsten-silver composite by reconstruction and computation
-
Roberts A.P., and Garboczi E.J. Elastic properties of a tungsten-silver composite by reconstruction and computation. J. Mech. Phys. Solids 47 (1999) 2029-2055
-
(1999)
J. Mech. Phys. Solids
, vol.47
, pp. 2029-2055
-
-
Roberts, A.P.1
Garboczi, E.J.2
-
43
-
-
33646715623
-
Simulation of multi-dimensional binary random fields with application to modeling of two phase random media
-
Koutsourelakis P.S., and Deodatis G. Simulation of multi-dimensional binary random fields with application to modeling of two phase random media. J. Eng. Mech. 132 (2006) 619-631
-
(2006)
J. Eng. Mech.
, vol.132
, pp. 619-631
-
-
Koutsourelakis, P.S.1
Deodatis, G.2
-
44
-
-
0002163512
-
Generating microstructures with specified correlation functions
-
Sheehan N., and Torquato S. Generating microstructures with specified correlation functions. J. Appl. Phys. 89 (2001) 53-60
-
(2001)
J. Appl. Phys.
, vol.89
, pp. 53-60
-
-
Sheehan, N.1
Torquato, S.2
-
45
-
-
33646002343
-
A maximum entropy approach for property prediction of random microstructures
-
Sankaran S., and Zabaras N. A maximum entropy approach for property prediction of random microstructures. Acta Mater. 54 (2006) 2265-2276
-
(2006)
Acta Mater.
, vol.54
, pp. 2265-2276
-
-
Sankaran, S.1
Zabaras, N.2
-
47
-
-
25444472360
-
A level set simulation of dendritic solidification with combined features of front tracking and fixed domain methods
-
Tan L., and Zabaras N. A level set simulation of dendritic solidification with combined features of front tracking and fixed domain methods. J. Comp. Phys. 211 (2006) 36-63
-
(2006)
J. Comp. Phys.
, vol.211
, pp. 36-63
-
-
Tan, L.1
Zabaras, N.2
-
48
-
-
33846168727
-
A level set simulation of dendritic solidification of multi-component alloys
-
Tan L., and Zabaras N. A level set simulation of dendritic solidification of multi-component alloys. J. Comp. Phys. 221 1 (2007) 9-40
-
(2007)
J. Comp. Phys.
, vol.221
, Issue.1
, pp. 9-40
-
-
Tan, L.1
Zabaras, N.2
-
49
-
-
0003851376
-
-
Cambridge University Press
-
Holmes P., Lumley J.L., and Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry (1998), Cambridge University Press
-
(1998)
Turbulence, Coherent Structures, Dynamical Systems and Symmetry
-
-
Holmes, P.1
Lumley, J.L.2
Berkooz, G.3
-
50
-
-
9644278197
-
Classification of three-dimensional microstructures using support vector machines
-
Sundararaghavan V., and Zabaras N. Classification of three-dimensional microstructures using support vector machines. Comp. Mat. Sci. 32 (2005) 223-239
-
(2005)
Comp. Mat. Sci.
, vol.32
, pp. 223-239
-
-
Sundararaghavan, V.1
Zabaras, N.2
-
52
-
-
85190303602
-
-
.
-
-
-
-
53
-
-
33745213726
-
Algorithm 847: spinterp: Piecewise Multilinear Hierarchical Sparse Grid Interpolation in MATLAB
-
Klimke A., and Wohlmuth B. Algorithm 847: spinterp: Piecewise Multilinear Hierarchical Sparse Grid Interpolation in MATLAB. ACM Transactions on Mathematical Software 31 (2005)
-
(2005)
ACM Transactions on Mathematical Software
, vol.31
-
-
Klimke, A.1
Wohlmuth, B.2
-
54
-
-
85190298208
-
-
A. Klimke, Sparse Grid Interpolation Toolbox - User's Guide, IANS Report 2006/001, University of Stuttgart, 2006.
-
-
-
-
55
-
-
0342305461
-
Elastic properties of a tungsten-silver composite above and below the melting point of silver
-
Umekawa S., Kotfila R., and Sherby O.D. Elastic properties of a tungsten-silver composite above and below the melting point of silver. J. Mech. Phys. Solids 13 (1965) 229-230
-
(1965)
J. Mech. Phys. Solids
, vol.13
, pp. 229-230
-
-
Umekawa, S.1
Kotfila, R.2
Sherby, O.D.3
|