-
3
-
-
0003513853
-
-
Oxford University Press, Oxford, UK
-
Miller M., Cerezo A., Hetherington M., Smith G. Atom Probe Field Ion Microscopy, Monographs on the Physical and Chemistry of Materials 1996, Oxford University Press, Oxford, UK.
-
(1996)
Atom Probe Field Ion Microscopy, Monographs on the Physical and Chemistry of Materials
-
-
Miller, M.1
Cerezo, A.2
Hetherington, M.3
Smith, G.4
-
5
-
-
41549116782
-
Biologically inspired surfaces: broadening the scope of roughness
-
Nosonovsky M., Bhushan B. Biologically inspired surfaces: broadening the scope of roughness. Adv. Funct. Mater. 2008, 18:843-855.
-
(2008)
Adv. Funct. Mater.
, vol.18
, pp. 843-855
-
-
Nosonovsky, M.1
Bhushan, B.2
-
7
-
-
84956071306
-
A model for the boundary condition of a porous material: Part I
-
Taylor G. A model for the boundary condition of a porous material: Part I. J. Fluid Mech. 1971, 49:319-326.
-
(1971)
J. Fluid Mech.
, vol.49
, pp. 319-326
-
-
Taylor, G.1
-
8
-
-
0346112464
-
A model for the boundary condition of a porous material: Part II
-
Richardson S. A model for the boundary condition of a porous material: Part II. J. Fluid Mech. 1971, 49:327-336.
-
(1971)
J. Fluid Mech.
, vol.49
, pp. 327-336
-
-
Richardson, S.1
-
9
-
-
0035916793
-
Conductive heat transport across rough surfaces and interfaces between two conforming media
-
Fyrillas M., Pozrikidis C. Conductive heat transport across rough surfaces and interfaces between two conforming media. Int. J. Heat Mass Transfer 2001, 49:1789-1801.
-
(2001)
Int. J. Heat Mass Transfer
, vol.49
, pp. 1789-1801
-
-
Fyrillas, M.1
Pozrikidis, C.2
-
10
-
-
35949007598
-
Gradients of potential fields on rough surfaces: perturbative calculation of the singularity distribution function f(α) for small surface dimension
-
Sarkar K., Meneveau C. Gradients of potential fields on rough surfaces: perturbative calculation of the singularity distribution function f(α) for small surface dimension. Phys. Rev. E 1993, 47:957-966.
-
(1993)
Phys. Rev. E
, vol.47
, pp. 957-966
-
-
Sarkar, K.1
Meneveau, C.2
-
11
-
-
0032119981
-
Random process model of rough surfaces contact
-
Rudzitis J., Padamans V., Bordo E., Haytham R. Random process model of rough surfaces contact. Meas. Sci. Technol. 1998, 9(7):1093-1097.
-
(1998)
Meas. Sci. Technol.
, vol.9
, Issue.7
, pp. 1093-1097
-
-
Rudzitis, J.1
Padamans, V.2
Bordo, E.3
Haytham, R.4
-
12
-
-
34249042611
-
Numerical methods for differential equations in random domains
-
Xiu D., Tartakovsky D.M. Numerical methods for differential equations in random domains. SIAM J. Sci. Comput. 2006, 28(3):1167-1185.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, Issue.3
, pp. 1167-1185
-
-
Xiu, D.1
Tartakovsky, D.M.2
-
13
-
-
33746340259
-
Stochastic analysis of transport in tubes with rough walls
-
Tartakovsky D.M., Xiu D. Stochastic analysis of transport in tubes with rough walls. J. Comput. Phys. 2006, 217(1):248-259.
-
(2006)
J. Comput. Phys.
, vol.217
, Issue.1
, pp. 248-259
-
-
Tartakovsky, D.M.1
Xiu, D.2
-
14
-
-
4544321108
-
Fractal properties of equipotentials close to a rough conducting surface
-
Cajueiro D., Sampaio V., de Castilho C., Andrade R. Fractal properties of equipotentials close to a rough conducting surface. J. Phys. Condens. Matter 1999, 11:4985-4992.
-
(1999)
J. Phys. Condens. Matter
, vol.11
, pp. 4985-4992
-
-
Cajueiro, D.1
Sampaio, V.2
de Castilho, C.3
Andrade, R.4
-
15
-
-
0036791413
-
Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions
-
Babuska I., Chleboun J. Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions. Math. Comput. 2002, 71:1339-1370.
-
(2002)
Math. Comput.
, vol.71
, pp. 1339-1370
-
-
Babuska, I.1
Chleboun, J.2
-
16
-
-
0242473086
-
Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems
-
Babuska I., Chleboun J. Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems. Numer. Math. 2003, 93:583-610.
-
(2003)
Numer. Math.
, vol.93
, pp. 583-610
-
-
Babuska, I.1
Chleboun, J.2
-
17
-
-
70350242930
-
Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method
-
Parussini L., Pediroda V., Poloni C. Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method. Comput. Fluids 2010, 39(1):137-151.
-
(2010)
Comput. Fluids
, vol.39
, Issue.1
, pp. 137-151
-
-
Parussini, L.1
Pediroda, V.2
Poloni, C.3
-
18
-
-
23944518704
-
Stochastic approaches to uncertainty quantification in CFD simulations
-
Mathelin L., Hussaini M.Y., Zang T.A. Stochastic approaches to uncertainty quantification in CFD simulations. Numer. Algorithms 2005, 38(1-3):209-236.
-
(2005)
Numer. Algorithms
, vol.38
, Issue.1-3
, pp. 209-236
-
-
Mathelin, L.1
Hussaini, M.Y.2
Zang, T.A.3
-
19
-
-
14644396217
-
Interface dynamics in randomly heterogeneous porous media
-
Lazarev Y.N., Petrov P.V., Tartakovsky D.M. Interface dynamics in randomly heterogeneous porous media. Adv. Water Resour. 2005, 28(4):393-403.
-
(2005)
Adv. Water Resour.
, vol.28
, Issue.4
, pp. 393-403
-
-
Lazarev, Y.N.1
Petrov, P.V.2
Tartakovsky, D.M.3
-
20
-
-
84860699021
-
A fast method for high-frequency acoustic scattering from random scatterers
-
Tsuji P., Xiu D., Ying L. A fast method for high-frequency acoustic scattering from random scatterers. Int. J. Uncert. Quant. 2011, 1-99:99-117.
-
(2011)
Int. J. Uncert. Quant.
, pp. 99-117
-
-
Tsuji, P.1
Xiu, D.2
Ying, L.3
-
21
-
-
37649027979
-
Simulation method to resolve hydrodynamic interactions in colloidal dispersions
-
Nakayama Y., Yamamoto R. Simulation method to resolve hydrodynamic interactions in colloidal dispersions. Phys. Rev. E 2005, 71:36707-36713.
-
(2005)
Phys. Rev. E
, vol.71
, pp. 36707-36713
-
-
Nakayama, Y.1
Yamamoto, R.2
-
22
-
-
21244506200
-
A smoothed profile method for simulating charged colloidal dispersions
-
Kim K., Nakayama Y., Yamamoto R. A smoothed profile method for simulating charged colloidal dispersions. Comput. Phys. Commun. 2005, 169:104-106.
-
(2005)
Comput. Phys. Commun.
, vol.169
, pp. 104-106
-
-
Kim, K.1
Nakayama, Y.2
Yamamoto, R.3
-
23
-
-
21244459159
-
A method to resolve hydrodynamic interactions in colloidal dispersions
-
Yamamoto R., Nakayama Y., Kim K. A method to resolve hydrodynamic interactions in colloidal dispersions. Comput. Phys. Commun. 2005, 169(1-3):301-304.
-
(2005)
Comput. Phys. Commun.
, vol.169
, Issue.1-3
, pp. 301-304
-
-
Yamamoto, R.1
Nakayama, Y.2
Kim, K.3
-
24
-
-
33845509289
-
Hydrodynamic effects in colloidal dispersions studied by a new efficient direct simulation
-
in: Flow Dynamics
-
Y. Nakayama, K. Kim, R. Yamamoto, Hydrodynamic effects in colloidal dispersions studied by a new efficient direct simulation, in: Flow Dynamics, vol. 832 of Am. Inst. Phys. Conf. Ser., 2006, pp. 245-250.
-
(2006)
Am. Inst. Phys. Conf. Ser.
, vol.832
, pp. 245-250
-
-
Nakayama, Y.1
Kim, K.2
Yamamoto, R.3
-
25
-
-
53349172219
-
Simulating (electro) hydrodynamic effects in colloidal dispersions: smoothed profile method
-
Nakayama Y., Kim K., Yamamoto R. Simulating (electro) hydrodynamic effects in colloidal dispersions: smoothed profile method. Eur. Phys. J. 2008, E 26(4):361-368.
-
(2008)
Eur. Phys. J.
, vol.E 26
, Issue.4
, pp. 361-368
-
-
Nakayama, Y.1
Kim, K.2
Yamamoto, R.3
-
26
-
-
33744502085
-
Direct numerical simulations of electrophoresis of charged colloids
-
Kim K., Nakayama Y., Yamamoto R. Direct numerical simulations of electrophoresis of charged colloids. Phys. Rev. Lett. 2006, 96(20):208-302.
-
(2006)
Phys. Rev. Lett.
, vol.96
, Issue.20
, pp. 208-302
-
-
Kim, K.1
Nakayama, Y.2
Yamamoto, R.3
-
27
-
-
35648935444
-
Strict simulations of non-equilibrium dynamics of colloids
-
Yamamoto R., Kim K., Nakayama Y. Strict simulations of non-equilibrium dynamics of colloids. Colloids Surf. 2007, A 311(1-3):42-47.
-
(2007)
Colloids Surf.
, vol.A 311
, Issue.1-3
, pp. 42-47
-
-
Yamamoto, R.1
Kim, K.2
Nakayama, Y.3
-
28
-
-
58249138600
-
Smoothed profile method for particulate flows: error analysis and simulations
-
Luo X., Maxey M.R., Karniadakis G.E. Smoothed profile method for particulate flows: error analysis and simulations. J. Comput. Phys. 2009, 228:1750-1769.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 1750-1769
-
-
Luo, X.1
Maxey, M.R.2
Karniadakis, G.E.3
-
29
-
-
0029966538
-
A fast marching level set method for monotonically advancing fronts
-
Sethian J.A. A fast marching level set method for monotonically advancing fronts. Proc. Natl. Acad. Sci 1995, 1591-1595.
-
(1995)
Proc. Natl. Acad. Sci
, pp. 1591-1595
-
-
Sethian, J.A.1
-
30
-
-
33746337596
-
Covariance kernel representations of multidimensional second-order stochastic processes
-
Su C.H., Lucor D. Covariance kernel representations of multidimensional second-order stochastic processes. J. Comput. Phys. 2006, 217(1):82-99.
-
(2006)
J. Comput. Phys.
, vol.217
, Issue.1
, pp. 82-99
-
-
Su, C.H.1
Lucor, D.2
-
31
-
-
34548216854
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
Babuska I., Nobile F., Tempone R. A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal. 2007, 45(3):1005-1034.
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, Issue.3
, pp. 1005-1034
-
-
Babuska, I.1
Nobile, F.2
Tempone, R.3
-
32
-
-
28144457683
-
High-order splitting methods for the incompressible Navier-Stokes equations
-
Karniadakis G.E., Israeli M., Orszag S.A. High-order splitting methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 1991, 97:414.
-
(1991)
J. Comput. Phys.
, vol.97
, pp. 414
-
-
Karniadakis, G.E.1
Israeli, M.2
Orszag, S.A.3
-
34
-
-
84968494170
-
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations
-
Funaro D., Gottlieb D. A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Math. Comput. 1988, 51(184):599-613.
-
(1988)
Math. Comput.
, vol.51
, Issue.184
, pp. 599-613
-
-
Funaro, D.1
Gottlieb, D.2
-
35
-
-
0001241567
-
A stable penalty method for the compressible Navier-Stokes equations: I. Open boundary conditions
-
Hesthaven J.S., Gottlieb D. A stable penalty method for the compressible Navier-Stokes equations: I. Open boundary conditions. SIAM J. Sci. Comput. 1996, 17(3):579.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.3
, pp. 579
-
-
Hesthaven, J.S.1
Gottlieb, D.2
-
36
-
-
52749087886
-
The multi-element probabilistic collocation method (ME-PCM): error analysis and applications
-
Foo J., Wan X., Karniadakis G.E. The multi-element probabilistic collocation method (ME-PCM): error analysis and applications. J. Comput. Phys. 2008, 227:9572-9595.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 9572-9595
-
-
Foo, J.1
Wan, X.2
Karniadakis, G.E.3
-
38
-
-
0001048297
-
Quadrature and interpolation formulas for tensor products of certain classes of functions
-
Smolyak S. Quadrature and interpolation formulas for tensor products of certain classes of functions. Soviet Math. Dokl. 1963, 4:240-243.
-
(1963)
Soviet Math. Dokl.
, vol.4
, pp. 240-243
-
-
Smolyak, S.1
-
39
-
-
0003987999
-
-
Cambridge University Press, New York, NY
-
Pope S. Turbulent Flows 2000, Cambridge University Press, New York, NY.
-
(2000)
Turbulent Flows
-
-
Pope, S.1
-
41
-
-
84878985812
-
-
Adaptive multi-element generalized polynomial chaos: algorithms and applications, Ph.D. thesis, Brown University
-
X. Wan, Adaptive multi-element generalized polynomial chaos: algorithms and applications, Ph.D. thesis, Brown University, 2007.
-
(2007)
-
-
Wan, X.1
-
42
-
-
33745346803
-
Long-term behavior of polynomial chaos in stochastic flow simulations
-
Wan X., Karniadakis G. Long-term behavior of polynomial chaos in stochastic flow simulations. Comput. Methods Appl. Mech. Engrg. 2006, 195:5582-5596.
-
(2006)
Comput. Methods Appl. Mech. Engrg.
, vol.195
, pp. 5582-5596
-
-
Wan, X.1
Karniadakis, G.2
-
43
-
-
84878972304
-
High dimensional integration of smooth functions over cubes
-
Novak E., Ritter K. High dimensional integration of smooth functions over cubes. Numer. Math. 2000, 163:51-59.
-
(2000)
Numer. Math.
, vol.163
, pp. 51-59
-
-
Novak, E.1
Ritter, K.2
-
44
-
-
0033238933
-
Simple cubature formulas with high polynomial exactness
-
Novak E., Ritter K. Simple cubature formulas with high polynomial exactness. Constr. Approx. 1999, 15:499-522.
-
(1999)
Constr. Approx.
, vol.15
, pp. 499-522
-
-
Novak, E.1
Ritter, K.2
-
45
-
-
0034381734
-
High dimensional polynomial interpolation on sparse grids
-
Barthelmann V., Novak E., Ritter K. High dimensional polynomial interpolation on sparse grids. Adv. Comput. Math. 2000, 12:273-288.
-
(2000)
Adv. Comput. Math.
, vol.12
, pp. 273-288
-
-
Barthelmann, V.1
Novak, E.2
Ritter, K.3
-
46
-
-
0035704479
-
Dynamics of free surfaces in random porous media
-
Tartakovsky D.M., Winter C.L. Dynamics of free surfaces in random porous media. SIAM J. Appl. Math. 2001, 61(6):1857-1876.
-
(2001)
SIAM J. Appl. Math.
, vol.61
, Issue.6
, pp. 1857-1876
-
-
Tartakovsky, D.M.1
Winter, C.L.2
-
47
-
-
84855205230
-
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows
-
Yang X., Choi M., Lin G., Karniadakis G.E. Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. J. Comput. Phys. 2012, 231:1587-1614.
-
(2012)
J. Comput. Phys.
, vol.231
, pp. 1587-1614
-
-
Yang, X.1
Choi, M.2
Lin, G.3
Karniadakis, G.E.4
-
48
-
-
84865377819
-
-
Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems, in: Proceedings of Grand Challenges in Modeling Simulation, Summer Simulation Multiconference, July 2010, Ottawa, Canada.
-
X. Luo, C. Chryssostomidis, G.E. Karniadakis, Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems, in: Proceedings of Grand Challenges in Modeling Simulation, Summer Simulation Multiconference, July 2010, Ottawa, Canada.
-
-
-
Luo, X.1
Chryssostomidis, C.2
Karniadakis, G.E.3
|