-
3
-
-
0031244944
-
Special Issue—A state-of-the-art report on computational stochastic mechanics
-
G.I. Schueller (Editor), Special Issue—A state-of-the-art report on computational stochastic mechanics, Prob. Eng. Mech., 12 (1997) 197–321.
-
(1997)
Prob. Eng. Mech.
, vol.12
, pp. 197-321
-
-
Schueller, G.I.1
-
4
-
-
0039400744
-
Digital simulation of random processes and its applications
-
M. Shinozuka and C.M. Jan, Digital simulation of random processes and its applications, J. Sound Vibr., 25 (1972).
-
(1972)
J. Sound Vibr.
, vol.25
-
-
Shinozuka, M.1
Jan, C.M.2
-
5
-
-
0032400121
-
Monte Carlo techniques in computational stochastic mechanics
-
J.E. Hurtado and A.H. Barbat, Monte Carlo techniques in computational stochastic mechanics, Arch. Comput. Meth. Eng., 5 (1998) 3–29.
-
(1998)
Arch. Comput. Meth. Eng.
, vol.5
, pp. 3-29
-
-
Hurtado, J.E.1
Barbat, A.H.2
-
7
-
-
0024067174
-
Neumann expansion for stochastic finite element analysis
-
F. Yamazaki, M. Shinozuka, and G. Dasgupta, Neumann expansion for stochastic finite element analysis, J. Eng. Mech., 114 (1988), 1335–1355.
-
(1988)
J. Eng. Mech.
, vol.114
, pp. 1335-1355
-
-
Yamazaki, F.1
Shinozuka, M.2
Dasgupta, G.3
-
8
-
-
0031148476
-
Stochastic finite element modelling in linear transient heat transfer
-
T.D. Hien and M. Kleiber, Stochastic finite element modelling in linear transient heat transfer, Comput. Meth. Appl. Mech. Eng., 144 (1997) 111–124.
-
(1997)
Comput. Meth. Appl. Mech. Eng.
, vol.144
, pp. 111-124
-
-
Hien, T.D.1
Kleiber, M.2
-
9
-
-
0035339359
-
Stochastic second-order perturbation approach to the stress-based finite element method
-
M. Kaminski, Stochastic second-order perturbation approach to the stress-based finite element method, Int. J. Solids Struct., 38 (2001) 3831–3852.
-
(2001)
Int. J. Solids Struct.
, vol.38
, pp. 3831-3852
-
-
Kaminski, M.1
-
11
-
-
43949162529
-
A new look at the response surface method for reliability analysis
-
M.R. Rajashekhar and B.R. Ellingwood, A new look at the response surface method for reliability analysis, Structural Safety, 12 (1993) 205–220.
-
(1993)
Structural Safety
, vol.12
, pp. 205-220
-
-
Rajashekhar, M.R.1
Ellingwood, B.R.2
-
13
-
-
0141607828
-
Some greedy algorithms for sparse regression and classification with Mercer kernels
-
P.B. Nair, A. Choudhury, and A.J. Keane, Some greedy algorithms for sparse regression and classification with Mercer kernels, J. Mach. Learning Res., 3 (2002) 781–801.
-
(2002)
J. Mach. Learning Res.
, vol.3
, pp. 781-801
-
-
Nair, P.B.1
Choudhury, A.2
Keane, A.J.3
-
15
-
-
0036684042
-
Stochastic reduced basis methods
-
P.B. Nair and A.J. Keane, Stochastic reduced basis methods, AIAA J., 40 (2002) 1653–1664.
-
(2002)
AIAA J.
, vol.40
, pp. 1653-1664
-
-
Nair, P.B.1
Keane, A.J.2
-
16
-
-
0031333532
-
Uncertainties in probabilistic numerical analysis of structures and solids—stochastic finite elements
-
H.G. Matthies, C.E. Brenner, C.G. Bucher, and C.G. Soares, Uncertainties in probabilistic numerical analysis of structures and solids—stochastic finite elements, Structural Safety 19 (1997) 283–336.
-
(1997)
Structural Safety
, vol.19
, pp. 283-336
-
-
Matthies, H.G.1
Brenner, C.E.2
Bucher, C.G.3
Soares, C.G.4
-
17
-
-
0037063656
-
A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters
-
G. Falsone and N. Impollonia, A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters, Comput. Methods Appl. Mech. Eng., 191 (2002) 5067–5085.
-
(2002)
Comput. Methods Appl. Mech. Eng.
, vol.191
, pp. 5067-5085
-
-
Falsone, G.1
Impollonia, N.2
-
18
-
-
0000786435
-
The homogeneous chaos
-
N. Wiener, The homogeneous chaos, Am. J. Math., 60 (1938) 897–936.
-
(1938)
Am. J. Math.
, vol.60
, pp. 897-936
-
-
Wiener, N.1
-
19
-
-
0003981320
-
-
fourth edition, Springer, New York
-
M. Loeve, Probability Theory, fourth edition, Springer, New York, 1977.
-
(1977)
Probability Theory
-
-
Loeve, M.1
-
21
-
-
0003910686
-
-
second edition, Cambridge University Press, Cambridge, U.K
-
L.J. Gibson and M.F. Ashby, Cellular Solids: Structure and Properties, second edition, Cambridge University Press, Cambridge, U.K., 1997.
-
(1997)
Cellular Solids: Structure and Properties
-
-
Gibson, L.J.1
Ashby, M.F.2
-
22
-
-
0033097871
-
On a spring-network model and effective elastic moduli of granular materials
-
K. Alzebdeh and M. Ostoja-Starzewski, On a spring-network model and effective elastic moduli of granular materials, J. Appl. Mech., 66 (1999) 172–180.
-
(1999)
J. Appl. Mech.
, vol.66
, pp. 172-180
-
-
Alzebdeh, K.1
Ostoja-Starzewski, M.2
-
23
-
-
0035151854
-
Random field modeling of elastic properties using homogenization
-
L. Huyse and M.A. Maes, Random field modeling of elastic properties using homogenization, J. Eng. Mech., 127 (2001) 27–36.
-
(2001)
J. Eng. Mech.
, vol.127
, pp. 27-36
-
-
Huyse, L.1
Maes, M.A.2
-
24
-
-
84973774631
-
Micromechanics as a basis of continuum random fields
-
M. Ostoja-Starzewski, Micromechanics as a basis of continuum random fields, Appl. Mech. Rev., 47 (1994) 221–230.
-
(1994)
Appl. Mech. Rev.
, vol.47
, pp. 221-230
-
-
Ostoja-Starzewski, M.1
-
25
-
-
0033528032
-
Stochastic finite elements as a bridge between random material microstructure and global response
-
M. Ostoja-Starzewski and X. Wang, Stochastic finite elements as a bridge between random material microstructure and global response, Comp. Meth. Appl. Mech. Eng., 168 (1999) 35–49.
-
(1999)
Comp. Meth. Appl. Mech. Eng.
, vol.168
, pp. 35-49
-
-
Ostoja-Starzewski, M.1
Wang, X.2
-
28
-
-
0027608710
-
Optimal discretization of random fields
-
ASCE
-
C.-C. Li and A. Der Kiureghian, Optimal discretization of random fields, J. Eng. Mech., ASCE, 119 (1993) 1136–1154.
-
(1993)
J. Eng. Mech
, vol.119
, pp. 1136-1154
-
-
Li, C.-C.1
Der Kiureghian, A.2
-
29
-
-
0035976363
-
Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes
-
S.P. Huang, S.T. Quek, and K.K. Phoon, Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes, Int. J. Numer. Meth. Eng., 52 (2001) 1029–1043.
-
(2001)
Int. J. Numer. Meth. Eng.
, vol.52
, pp. 1029-1043
-
-
Huang, S.P.1
Quek, S.T.2
Phoon, K.K.3
-
33
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations, SIAM
-
D. Xiu and G.E. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations, SIAM J. Sci. Comput., 24 (2002) 619–644.
-
(2002)
J. Sci. Comput.
, vol.24
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.E.2
-
34
-
-
0242306876
-
Predictability and uncertainty in CFD
-
D. Lucor, D. Xiu, C.-H. Su, and G.E. Karniadakis, Predictability and uncertainty in CFD, Int. J. Num. Meth. Fluids, 43 (2003) 483–505.
-
(2003)
Int. J. Num. Meth. Fluids
, vol.43
, pp. 483-505
-
-
Lucor, D.1
Xiu, D.2
Su, C.-H.3
Karniadakis, G.E.4
-
35
-
-
0000148817
-
The orthogonal development of nonlinear functionals in series of Fourier-Hermite functions
-
R.H. Cameron and W.T. Martin, The orthogonal development of nonlinear functionals in series of Fourier-Hermite functions, Ann. Math., 48 (1947) 385–392.
-
(1947)
Ann. Math.
, vol.48
, pp. 385-392
-
-
Cameron, R.H.1
Martin, W.T.2
-
37
-
-
0029776146
-
Numerical solution of spectral stochastic finite element systems
-
R.G. Ghanem and R. Kruger, Numerical solution of spectral stochastic finite element systems, Comput. Meth. Appl. Mech. Eng., 129 (1996) 289–303.
-
(1996)
Comput. Meth. Appl. Mech. Eng.
, vol.129
, pp. 289-303
-
-
Ghanem, R.G.1
Kruger, R.2
-
38
-
-
0342844513
-
Iterative solution of systems of linear equations arising in the context of stochastic finite elements
-
M. Pellissetti and R. Ghanem, Iterative solution of systems of linear equations arising in the context of stochastic finite elements, Adv. Eng. Softw., 31 (2000) 607–616.
-
(2000)
Adv. Eng. Softw.
, vol.31
, pp. 607-616
-
-
Pellissetti, M.1
Ghanem, R.2
-
39
-
-
0035838115
-
Three-dimensional stochastic finite element method for elasto-plastic bodies
-
M. Anders and M. Hori, Three-dimensional stochastic finite element method for elasto-plastic bodies, Int. J. Numer. Meth. Eng., 51 (2001) 449–478.
-
(2001)
Int. J. Numer. Meth. Eng.
, vol.51
, pp. 449-478
-
-
Anders, M.1
Hori, M.2
-
40
-
-
0033293545
-
The nonlinear Gaussian spectrum of log-normal stochastic processes and variables
-
R. Ghanem, The nonlinear Gaussian spectrum of log-normal stochastic processes and variables, J. Appl. Mech., 66 (1999) 964–973.
-
(1999)
J. Appl. Mech.
, vol.66
, pp. 964-973
-
-
Ghanem, R.1
-
41
-
-
0027836627
-
A stochastic Galerkin expansion for nonlinear random vibration analysis
-
R. Ghanem and P. Spanos, A stochastic Galerkin expansion for nonlinear random vibration analysis, Prob. Eng. Mech., 8 (1993) 255–264.
-
(1993)
Prob. Eng. Mech.
, vol.8
, pp. 255-264
-
-
Ghanem, R.1
Spanos, P.2
-
42
-
-
0030318028
-
Stochastic finite element analysis of randomly layered media
-
R. Ghanem and V. Brzkala, Stochastic finite element analysis of randomly layered media, J. Eng. Mech., 122 (1996) 361–369.
-
(1996)
J. Eng. Mech.
, vol.122
, pp. 361-369
-
-
Ghanem, R.1
Brzkala, V.2
-
43
-
-
0032496593
-
Probabilistic characterization of transport in heterogeneous media
-
R. Ghanem, Probabilistic characterization of transport in heterogeneous media. Comput. Meth. Appl. Mech. Eng., 158 (1998) 199–220.
-
(1998)
Comput. Meth. Appl. Mech. Eng.
, vol.158
, pp. 199-220
-
-
Ghanem, R.1
-
44
-
-
0033334624
-
Stochastic finite element method for elasto-plastic body
-
M. Anders and M. Hori, Stochastic finite element method for elasto-plastic body, Int. J. Numer. Meth. Eng., 46 (1999) 1897–1916.
-
(1999)
Int. J. Numer. Meth. Eng.
, vol.46
, pp. 1897-1916
-
-
Anders, M.1
Hori, M.2
-
45
-
-
0036171048
-
Stochastic finite element analysis of seismic soil-structure interaction
-
D. Ghiocel and R. Ghanem, Stochastic finite element analysis of seismic soil-structure interaction, J. Eng. Mech., 128 (2002) 66–77.
-
(2002)
J. Eng. Mech.
, vol.128
, pp. 66-77
-
-
Ghiocel, D.1
Ghanem, R.2
-
46
-
-
0035506770
-
A stochastic projection method for fluid flow: Basic formulation
-
O. Le Maitre, O. Knio, H. Najm, and R. Ghanem, A stochastic projection method for fluid flow: basic formulation, J. Comput. Phy., 173 (2001) 481–511.
-
(2001)
J. Comput. Phy.
, vol.173
, pp. 481-511
-
-
Le Maitre, O.1
Knio, O.2
Najm, H.3
Ghanem, R.4
-
47
-
-
0037159819
-
Mid-frequency structural dynamics with parameter uncertainty
-
A. Sarkar and R. Ghanem, Mid-frequency structural dynamics with parameter uncertainty, Comput. Meth. Appl. Mech. Eng., 191 (2002) 5499–5513.
-
(2002)
Comput. Meth. Appl. Mech. Eng.
, vol.191
, pp. 5499-5513
-
-
Sarkar, A.1
Ghanem, R.2
-
48
-
-
0037303227
-
A Green’s function method to SH-wave motion in random continuum
-
G.D. Manolis and C.Z. Karakostas, A Green’s function method to SH-wave motion in random continuum, Eng. Anal. Boundary Elements, 27 (2003) 93–100.
-
(2003)
Eng. Anal. Boundary Elements
, vol.27
, pp. 93-100
-
-
Manolis, G.D.1
Karakostas, C.Z.2
-
49
-
-
0037184252
-
Modeling uncertainty in steady-state diffusion problems via generalized polynomial chaos
-
D. Xiu and G.E. Karniadakis, Modeling uncertainty in steady-state diffusion problems via generalized polynomial chaos, Comput. Meth. Appl. Mech. Eng., 191 (2002) 4927–4948.
-
(2002)
Comput. Meth. Appl. Mech. Eng.
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
-
50
-
-
0011074291
-
Stochastic modeling of flow-structure interactions using generalized polynomial chaos
-
D. Xiu and G.E. Karniadakis, Stochastic modeling of flow-structure interactions using generalized polynomial chaos, J. Fluids Eng., 124 (2002) 51–59.
-
(2002)
J. Fluids Eng.
, vol.124
, pp. 51-59
-
-
Xiu, D.1
Karniadakis, G.E.2
-
51
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
D. Xiu and G.E. Karniadakis, Modeling uncertainty in flow simulations via generalized polynomial chaos, J. Comput. Phy., 187 (2003) 137–167.
-
(2003)
J. Comput. Phy.
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
52
-
-
0141792397
-
A new stochastic approach to transient heat conduction modeling with uncertainty
-
D. Xiu and G.E. Karniadakis, A new stochastic approach to transient heat conduction modeling with uncertainty, Int. J. Heat Mass Transfer, 46 (2003) 4681–4693.
-
(2003)
Int. J. Heat Mass Transfer
, vol.46
, pp. 4681-4693
-
-
Xiu, D.1
Karniadakis, G.E.2
-
53
-
-
0033528038
-
Ingredients for a general purpose stochastic finite elements implementation
-
R. Ghanem, Ingredients for a general purpose stochastic finite elements implementation, Comput. Meth. Appl. Mech. Eng., 168 (1999) 19–34.
-
(1999)
Comput. Meth. Appl. Mech. Eng.
, vol.168
, pp. 19-34
-
-
Ghanem, R.1
-
55
-
-
0035964634
-
Solution of stochastic partial differential equations using Galerkin finite element techniques
-
M.K. Deb, I.M. Babuska, and J.T. Oden, Solution of stochastic partial differential equations using Galerkin finite element techniques, Comput. Meth. Appl. Mech. Eng., 190 (2001) 6359–6372.
-
(2001)
Comput. Meth. Appl. Mech. Eng.
, vol.190
, pp. 6359-6372
-
-
Deb, M.K.1
Babuska, I.M.2
Oden, J.T.3
-
56
-
-
13844307737
-
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
-
Informatikbericht Nr.: 2003–08, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany, also submitted to Comput
-
H.G. Matthies and A. Keese, Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations, Informatikbericht Nr.: 2003–08, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany, also submitted to Comput. Meth. Appl. Mech. Engrg. (2003).
-
(2003)
Meth. Appl. Mech. Engrg
-
-
Matthies, H.G.1
Keese, A.2
-
57
-
-
13144262899
-
-
Informatikbericht Nr.: 2003–06, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany
-
A. Keese, A review of recent developments in the numerical solution of stochastic partial differential equations (stochastic finite elements), Informatikbericht Nr.: 2003–06, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany, October 2003.
-
(2003)
A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements)
-
-
Keese, A.1
-
60
-
-
0039179703
-
Iterative solution of linear systems in the 20th century
-
Y. Saad and H.A. Van der Vorst, Iterative solution of linear systems in the 20th century, J. Comp. and Appl. Math., 123 (2000) 1–33.
-
(2000)
J. Comp. and Appl. Math.
, vol.123
, pp. 1-33
-
-
Saad, Y.1
Van Der Vorst, H.A.2
-
61
-
-
80053455104
-
Comparative study of projection schemes for stochastic finite element analysis
-
S.K. Sachdeva, P.B. Nair, and A.J. Keane, Comparative study of projection schemes for stochastic finite element analysis, Comput. Meth. Appl. Mech. Eng., (2003) submitted for review.
-
(2003)
Comput. Meth. Appl. Mech. Eng.
-
-
Sachdeva, S.K.1
Nair, P.B.2
Keane, A.J.3
-
62
-
-
0037946844
-
Forced response analysis of mistuned bladed disks: A stochastic reduced basis approach
-
M.T. Bah, P.B. Nair, A. Bhaskar, and A.J. Keane, Forced response analysis of mistuned bladed disks: a stochastic reduced basis approach, J. Sound Vibr., 263 (2003) 377–397.
-
(2003)
J. Sound Vibr.
, vol.263
, pp. 377-397
-
-
Bah, M.T.1
Nair, P.B.2
Bhaskar, A.3
Keane, A.J.4
-
64
-
-
84950426173
-
Recent developments in nonparametric density estimation
-
A.J. Izenman, Recent developments in nonparametric density estimation, J. Am. Stat. Assoc., 86 (1991) 205–224.
-
(1991)
J. Am. Stat. Assoc.
, vol.86
, pp. 205-224
-
-
Izenman, A.J.1
-
65
-
-
0036816751
-
Comparison of finite element reliability methods
-
B. Sudret and A. Der Kiureghian, Comparison of finite element reliability methods, Prob. Eng. Mech., 17 (2003) 337–348.
-
(2003)
Prob. Eng. Mech.
, vol.17
, pp. 337-348
-
-
Sudret, B.1
Der Kiureghian, A.2
-
67
-
-
0036377413
-
Static and dynamic analysis of nonlinear uncertain structures
-
N. Impollonia and G. Muscolino, Static and dynamic analysis of nonlinear uncertain structures, Meccanica, 37 (2002) 179–192.
-
(2002)
Meccanica
, vol.37
, pp. 179-192
-
-
Impollonia, N.1
Muscolino, G.2
-
68
-
-
13844319534
-
Numerical methods and Smolyak quadrature for nonlinear stochastic partial differential equations
-
Informatikbericht Nr.: 2003–05, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany, May 2003
-
A. Keese and H.G. Matthies, Numerical methods and Smolyak quadrature for nonlinear stochastic partial differential equations, Informatikbericht Nr.: 2003–05, Insitute of Scientific Computing, Technical University Braunschweig, Brunswick, Germany, May 2003, also submitted to SIAM J. Sci. Comput.
-
SIAM J. Sci. Comput.
-
-
Keese, A.1
Matthies, H.G.2
-
69
-
-
0242540545
-
A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: Random field case
-
G. Deodatis, L. Graham-Brady, and R. Micaletti, A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: random field case, Prob. Eng. Mech., 18 (2003) 365–375.
-
(2003)
Prob. Eng. Mech.
, vol.18
, pp. 365-375
-
-
Deodatis, G.1
Graham-Brady, L.2
Micaletti, R.3
|