-
1
-
-
85128805678
-
The heterogeneous multiscale methods
-
~ W.E., and Engquist B. The heterogeneous multiscale methods. Commun. Math. Sci. 1 (2003) 87-132
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 87-132
-
-
Weinan, E.1
Engquist, B.2
-
2
-
-
34548474934
-
Heterogeneous multiscale methods: A review
-
~ W.E., Engquist B., Li X., Ren W., and Vanden-Eijnden E. Heterogeneous multiscale methods: A review. Commun. Comput. Phys. 2 (2007) 367-450
-
(2007)
Commun. Comput. Phys.
, vol.2
, pp. 367-450
-
-
Weinan, E.1
Engquist, B.2
Li, X.3
Ren, W.4
Vanden-Eijnden, E.5
-
3
-
-
0141682262
-
Finite difference heterogeneous multiscale method for homogenization problems
-
Abdulle A., and ~ W.E. Finite difference heterogeneous multiscale method for homogenization problems. J. Comput. Phys. 191 (2003) 18-39
-
(2003)
J. Comput. Phys.
, vol.191
, pp. 18-39
-
-
Abdulle, A.1
Weinan, E.2
-
4
-
-
13644268174
-
Analysis of the heterogeneous multiscale method for elliptic homogenization problems
-
~ W.E., Ming P., and Zhang P. Analysis of the heterogeneous multiscale method for elliptic homogenization problems. J. Amer. Math. Soc. 18 (2005) 121-156
-
(2005)
J. Amer. Math. Soc.
, vol.18
, pp. 121-156
-
-
Weinan, E.1
Ming, P.2
Zhang, P.3
-
5
-
-
33644998868
-
Multiscale methods for elliptic homogenization problems
-
Chen Z. Multiscale methods for elliptic homogenization problems. Numer. Methods Partial Differential Equations 22 (2006) 317-360
-
(2006)
Numer. Methods Partial Differential Equations
, vol.22
, pp. 317-360
-
-
Chen, Z.1
-
6
-
-
29244442306
-
The heterogeneous multiscale method based on the discontinuous method for hyperbolic and parabolic problems
-
Chen S., ~ W.E., and Shu C.-W. The heterogeneous multiscale method based on the discontinuous method for hyperbolic and parabolic problems. Multiscale Model. Simul. 3 (2005) 871-894
-
(2005)
Multiscale Model. Simul.
, vol.3
, pp. 871-894
-
-
Chen, S.1
Weinan, E.2
Shu, C.-W.3
-
7
-
-
0023401301
-
Some error estimates for the box method
-
Bank R.E., and Rose D.J. Some error estimates for the box method. SIAM J. Numer. Anal. 24 (1987) 777-787
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 777-787
-
-
Bank, R.E.1
Rose, D.J.2
-
9
-
-
0031539622
-
Analysis and convergence of a covolume method for the generalized Stokes problem
-
Chou S.-H. Analysis and convergence of a covolume method for the generalized Stokes problem. Math. Comp. 66 (1997) 85-104
-
(1997)
Math. Comp.
, vol.66
, pp. 85-104
-
-
Chou, S.-H.1
-
10
-
-
0011856593
-
Rigorous block-centered discretization on irregular grids: Improved simulation of complex reservoir systems, Tech
-
Report 3, Reservoir Research Corporation, Tulsa, OK
-
T.F. Russell, Rigorous block-centered discretization on irregular grids: Improved simulation of complex reservoir systems, Tech, Report 3, Reservoir Research Corporation, Tulsa, OK, 1995
-
(1995)
-
-
Russell, T.F.1
-
11
-
-
0037377057
-
Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
-
Chou S.-H., Kwak D.Y., and Kim K.Y. Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. Math. Comp. 72 (2003) 525-539
-
(2003)
Math. Comp.
, vol.72
, pp. 525-539
-
-
Chou, S.-H.1
Kwak, D.Y.2
Kim, K.Y.3
-
13
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
-
Cockburn B., and Shu C.-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework. Math. Comp. 52 (1989) 411-435
-
(1989)
Math. Comp.
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.-W.2
-
15
-
-
18444389215
-
Analysis of a two-scale locally conservative subgrid upscaling for elliptic problems
-
Arbogast T. Analysis of a two-scale locally conservative subgrid upscaling for elliptic problems. SIAM J. Numer. Anal. 42 (2004) 576-598
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 576-598
-
-
Arbogast, T.1
-
16
-
-
31744445770
-
Homogenization and its applications
-
Hubbard B. (Ed)
-
Babuška I. Homogenization and its applications. In: Hubbard B. (Ed). SYNSPADE (1975) 89-116
-
(1975)
SYNSPADE
, pp. 89-116
-
-
Babuška, I.1
-
17
-
-
0031161210
-
A multiscale finite element method for elliptic problems in composite materials and porous media
-
Hou T., and Wu X. 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.1
Wu, X.2
-
18
-
-
0037376524
-
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
-
Chen Z., and Hou T. A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math. Comp. 72 (2002) 541-576
-
(2002)
Math. Comp.
, vol.72
, pp. 541-576
-
-
Chen, Z.1
Hou, T.2
-
19
-
-
0000713961
-
The convergence of nonconforming multiscale finite element methods
-
Efendiev Y.R., Hou T., and Wu X. The convergence of nonconforming multiscale finite element methods. SIAM J. Numer. Anal. 37 (2000) 888-910
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 888-910
-
-
Efendiev, Y.R.1
Hou, T.2
Wu, X.3
-
20
-
-
0039982148
-
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
-
Hou T., Wu X., and Cai Z. 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.1
Wu, X.2
Cai, Z.3
-
21
-
-
55149102012
-
The multiscale finite element method with nonconforming elements for elliptic homogenization problems
-
Chen Z., Cui M., Savchuk T., and Yu X. The multiscale finite element method with nonconforming elements for elliptic homogenization problems. SIAM Multiscale Model. Simul. 7 (2008) 517-538
-
(2008)
SIAM Multiscale Model. Simul.
, vol.7
, pp. 517-538
-
-
Chen, Z.1
Cui, M.2
Savchuk, T.3
Yu, X.4
-
22
-
-
13644266686
-
Numerical methods for multiscale problems
-
Preprint
-
P. Ming, X. Yue, Numerical methods for multiscale problems. Preprint, 2003
-
(2003)
-
-
Ming, P.1
Yue, X.2
-
25
-
-
0015762231
-
Conforming and nonconforming finite element methods for solving the stationary Stokes equations
-
Crouzeix M., and Raviart P. Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO 3 (1973) 33-75
-
(1973)
RAIRO
, vol.3
, pp. 33-75
-
-
Crouzeix, M.1
Raviart, P.2
-
26
-
-
84968500702
-
On the implementation of mixed methods as nonconforming methods for second order elliptic problems
-
Arbogast T., and Chen Z. On the implementation of mixed methods as nonconforming methods for second order elliptic problems. Math. Comp. 64 (1995) 943-972
-
(1995)
Math. Comp.
, vol.64
, pp. 943-972
-
-
Arbogast, T.1
Chen, Z.2
-
28
-
-
52149101668
-
The control volume finite element methods and their applications to multiphase flow
-
Chen Z. The control volume finite element methods and their applications to multiphase flow. Netw. Heterogeneous Media 1 (2006) 689-706
-
(2006)
Netw. Heterogeneous Media
, vol.1
, pp. 689-706
-
-
Chen, Z.1
-
29
-
-
0026138971
-
The finite volume element method for diffusion equations on general triangulations
-
Cai Z., Mandel J., and McCormick S. The finite volume element method for diffusion equations on general triangulations. SIAM J. Numer. Anal. 28 (1991) 392-403
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 392-403
-
-
Cai, Z.1
Mandel, J.2
McCormick, S.3
-
30
-
-
0001175293
-
A mixed finite element method for 2nd order elliptic problems
-
Mathematical Aspects of the Finite Element Method, Springer-Verlag, Berlin, New York
-
Raviart P.A., and Thomas J.M. A mixed finite element method for 2nd order elliptic problems. Mathematical Aspects of the Finite Element Method. Lecture Notes in Mathematics vol. 606 (1977), Springer-Verlag, Berlin, New York 292-315
-
(1977)
Lecture Notes in Mathematics
, vol.606
, pp. 292-315
-
-
Raviart, P.A.1
Thomas, J.M.2
-
33
-
-
34250118577
-
Two families of mixed finite elements for second order elliptic problems
-
Brezzi F., Douglas Jr. J., and Marini L. Two families of mixed finite elements for second order elliptic problems. Numer. Math. 47 (1985) 217-235
-
(1985)
Numer. Math.
, vol.47
, pp. 217-235
-
-
Brezzi, F.1
Douglas Jr., J.2
Marini, L.3
-
34
-
-
0003199785
-
Mixed finite elements for second order elliptic problems in three variables
-
Brezzi F., Douglas Jr. J., Durán R., and Fortin M. Mixed finite elements for second order elliptic problems in three variables. Numer. Math. 51 (1987) 237-250
-
(1987)
Numer. Math.
, vol.51
, pp. 237-250
-
-
Brezzi, F.1
Douglas Jr., J.2
Durán, R.3
Fortin, M.4
-
35
-
-
51249179041
-
Prismatic mixed finite elements for second order elliptic problems
-
Chen Z., and Douglas Jr. J. Prismatic mixed finite elements for second order elliptic problems. Calcolo 26 (1989) 135-148
-
(1989)
Calcolo
, vol.26
, pp. 135-148
-
-
Chen, Z.1
Douglas Jr., J.2
-
37
-
-
0000850660
-
Mixed covolume methods on rectangular grids for elliptic problems
-
Chou S.H., and Kwak D.Y. Mixed covolume methods on rectangular grids for elliptic problems. SIAM J. Numer. Anal. 37 (1997) 85-104
-
(1997)
SIAM J. Numer. Anal.
, vol.37
, pp. 85-104
-
-
Chou, S.H.1
Kwak, D.Y.2
-
38
-
-
0033295134
-
Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems
-
Chou S.H., Kwak D.Y., and Vassilevski P.S. Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. SIAM J. Sci. Comput. 21 (1999) 145-165
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 145-165
-
-
Chou, S.H.1
Kwak, D.Y.2
Vassilevski, P.S.3
-
40
-
-
0000378230
-
Numerical calculations of time dependent viscous incompressible flow of fluid with a free surface
-
Harlow F.H., and Welch F.E. Numerical calculations of time dependent viscous incompressible flow of fluid with a free surface. Phys. Fluids 8 (1995) 2181-2197
-
(1995)
Phys. Fluids
, vol.8
, pp. 2181-2197
-
-
Harlow, F.H.1
Welch, F.E.2
-
41
-
-
0039243425
-
A general mixed covolume framework for constructing conservative schemes for elliptic problems
-
Chou S.H., and Vassilevski P.S. A general mixed covolume framework for constructing conservative schemes for elliptic problems. Math. Comp. 68 (1999) 991-1011
-
(1999)
Math. Comp.
, vol.68
, pp. 991-1011
-
-
Chou, S.H.1
Vassilevski, P.S.2
-
42
-
-
33750712360
-
Characteristic-mixed covolume methods for advection-dominated diffusion problems
-
Chen Z., Chou S.-H., and Kwak D. Characteristic-mixed covolume methods for advection-dominated diffusion problems. Numer. Linear Algebra Appl. 13 (2006) 677-697
-
(2006)
Numer. Linear Algebra Appl.
, vol.13
, pp. 677-697
-
-
Chen, Z.1
Chou, S.-H.2
Kwak, D.3
-
43
-
-
0035452999
-
A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case
-
Chou S.H., Kwak D.Y., and Kim K.Y. A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. SIAM J. Numer. Anal. 39 (2001) 1170-1196
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1170-1196
-
-
Chou, S.H.1
Kwak, D.Y.2
Kim, K.Y.3
-
44
-
-
55149101144
-
Homogénéisation de problémes equasi-linéaires
-
Boccardo L., and Murat T. Homogénéisation de problémes equasi-linéaires. Publ. IRMA, Lille 3 (1981) 1-17
-
(1981)
Publ. IRMA, Lille
, vol.3
, pp. 1-17
-
-
Boccardo, L.1
Murat, T.2
-
45
-
-
84966217446
-
An observation concerning Ritz-Galerkin methods with infinite bilinear forms
-
Schatz A. An observation concerning Ritz-Galerkin methods with infinite bilinear forms. Math. Comp. 28 (1974) 959-962
-
(1974)
Math. Comp.
, vol.28
, pp. 959-962
-
-
Schatz, A.1
-
46
-
-
0001547745
-
Two-grid discretization techniques for linear and nonlinear PDES
-
Xu J. Two-grid discretization techniques for linear and nonlinear PDES. SIAM J. Numer. Anal. 33 (1996) 1759-1777
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1759-1777
-
-
Xu, J.1
-
47
-
-
84966226268
-
A Galerkin method for a nonlinear Dirichlet problem
-
Douglas Jr. J., and Dupont T. A Galerkin method for a nonlinear Dirichlet problem. Math. Comp. 29 (1975) 689-696
-
(1975)
Math. Comp.
, vol.29
, pp. 689-696
-
-
Douglas Jr., J.1
Dupont, T.2
-
48
-
-
33750688004
-
-
SIAM, Philadelphia, PA
-
Chen Z., Huan G., and Ma Y. Computational Methods for Multiphase Flows in Porous Media. Computational Science and Engineering Series vol. 2 (2006), SIAM, Philadelphia, PA
-
(2006)
Computational Science and Engineering Series
, vol.2
-
-
Chen, Z.1
Huan, G.2
Ma, Y.3
-
49
-
-
0000254912
-
Homogenization of random operators
-
Kozlov S.M. Homogenization of random operators. Math. USSR Sb. 37 (1980) 167-180
-
(1980)
Math. USSR Sb.
, vol.37
, pp. 167-180
-
-
Kozlov, S.M.1
-
51
-
-
13644259712
-
Averaging of symmetric diffusion in random media
-
English Transl. Siberian Math. J. 27, 603-613
-
Yurinskii V.V. Averaging of symmetric diffusion in random media. Sibirsk. Mat. Zh. 23 (1982) 176-188 English Transl. Siberian Math. J. 27, 603-613
-
(1982)
Sibirsk. Mat. Zh.
, vol.23
, pp. 176-188
-
-
Yurinskii, V.V.1
|