-
1
-
-
33645988923
-
On a priori error analysis of fully discrete heterogeneous multiscale FEM
-
(electronic)
-
Abdulle A.: On a priori error analysis of fully discrete heterogeneous multiscale FEM. Multiscale Model. Simul. 4(2), 447-459 (2005) (electronic).
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.2
, pp. 447-459
-
-
Abdulle, A.1
-
2
-
-
0141682262
-
Finite difference heterogeneous multi-scale method for homogenization problems
-
Abdulle A., E W.: Finite difference heterogeneous multi-scale method for homogenization problems. J. Comput. Phys. 191(1), 18-39 (2003).
-
(2003)
J. Comput. Phys.
, vol.191
, Issue.1
, pp. 18-39
-
-
Abdulle, A.1
-
3
-
-
17644387561
-
Heterogeneous multiscale FEM for diffusion problems on rough surfaces
-
(electronic)
-
Abdulle, A., Schwab, C.: Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Multiscale Model. Simul. 3(1), 195-220 (2004/2005) (electronic).
-
(2004)
Multiscale Model. Simul.
, vol.3
, Issue.1
, pp. 195-220
-
-
Abdulle, A.1
Schwab, C.2
-
4
-
-
21144473666
-
Homogenization and two-scale convergence
-
Allaire G.: Homogenization and two-scale convergence. SIAM J. Math. Anal. 23(6), 1482-1518 (1992).
-
(1992)
SIAM J. Math. Anal.
, vol.23
, Issue.6
, pp. 1482-1518
-
-
Allaire, G.1
-
6
-
-
0003261592
-
Asymptotic analysis for periodic structures
-
North-Holland Publishing Co., Amsterdam
-
Bensoussan, A., Lions, J.-L., Papanicolaou, G.: Asymptotic analysis for periodic structures. Studies in Mathematics and its Applications, vol. 5. North-Holland Publishing Co., Amsterdam (1978).
-
(1978)
Studies in Mathematics and its Applications
, vol.5
-
-
Bensoussan, A.1
Lions, J.-L.2
Papanicolaou, G.3
-
7
-
-
0003204969
-
The finite element method for elliptic problems
-
North-Holland Publishing Co., Amsterdam
-
Ciarlet, P.G.: The finite element method for elliptic problems. Studies in Mathematics and its Applications, vol. 4. North-Holland Publishing Co., Amsterdam (1978).
-
(1978)
Studies in Mathematics and its Applications
, vol.4
-
-
Ciarlet, P.G.1
-
8
-
-
0040706751
-
Homogenization of periodically perforate media
-
Conca C., Gómez D., Lobo M., Pérez M.E.: Homogenization of periodically perforate media. Indiana Univ. Math. J. 48(4), 1447-1470 (1999).
-
(1999)
Indiana Univ. Math. J.
, vol.48
, Issue.4
, pp. 1447-1470
-
-
Conca, C.1
Gómez, D.2
Lobo, M.3
Pérez, M.E.4
-
9
-
-
0036755973
-
A homogenization problem in a perforated domain with both Dirichlet and Neumann conditions on the boundary of the holes
-
Esposito A.C., D'Apice C., Gaudiello A.: A homogenization problem in a perforated domain with both Dirichlet and Neumann conditions on the boundary of the holes. Asymptot. Anal. 31(3-4), 297-316 (2002).
-
(2002)
Asymptot. Anal.
, vol.31
, Issue.3-4
, pp. 297-316
-
-
Esposito, A.C.1
D'Apice, C.2
Gaudiello, A.3
-
10
-
-
85128805678
-
The heterogeneous multiscale methods
-
E W., Engquist B.: The heterogeneous multiscale methods. Commun. Math. Sci. 1(1), 87-132 (2003).
-
(2003)
Commun. Math. Sci.
, vol.1
, Issue.1
, pp. 87-132
-
-
Engquist, B.1
-
11
-
-
7244239706
-
Multiscale modeling and computation
-
E W., Engquist B.: Multiscale modeling and computation. Notices Am. Math. Soc. 50(9), 1062-1070 (2003).
-
(2003)
Notices Am. Math. Soc.
, vol.50
, Issue.9
, pp. 1062-1070
-
-
Engquist, B.1
-
12
-
-
84880282987
-
The heterogeneous multi-scale method for homogenization problems
-
Springer, Berlin
-
E, W., Engquist, B.: The heterogeneous multi-scale method for homogenization problems. In: Multiscale Methods in Science and Engineering. Lect. Notes Comput. Sci. Eng., vol. 44, pp. 89-110. Springer, Berlin (2005).
-
(2005)
Multiscale Methods in Science and Engineering. 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
-
(electronic)
-
E W., Ming P., Zhang P.: Analysis of the heterogeneous multiscale method for elliptic homogenization problems. J. Am. Math. Soc. 18(1), 121-156 (2005) (electronic).
-
(2005)
J. Am. Math. Soc.
, vol.18
, Issue.1
, pp. 121-156
-
-
Ming, P.1
Zhang, P.2
-
14
-
-
34247117648
-
Multiscale finite element methods for porous media flows and their applications
-
Efendiev Y., Hou T.: Multiscale finite element methods for porous media flows and their applications. Appl. Numer. Math. 57(5-7), 577-596 (2007).
-
(2007)
Appl. Numer. Math.
, vol.57
, Issue.5-7
, pp. 577-596
-
-
Efendiev, Y.1
Hou, T.2
-
15
-
-
17644363709
-
High-dimensional finite elements for elliptic problems with multiple scales
-
(electronic)
-
Hoang, V.H., Schwab, C.: High-dimensional finite elements for elliptic problems with multiple scales. Multiscale Model. Simul. 3(1), 168-194 (2004/2005) (electronic).
-
(2004)
Multiscale Model. Simul.
, vol.3
, Issue.1
, pp. 168-194
-
-
Hoang, V.H.1
Schwab, C.2
-
16
-
-
0031161210
-
A multiscale finite element method for elliptic problems in composite materials and porous media
-
Thomas Y.H., Wu X.-H.: A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys. 134(1), 169-189 (1997).
-
(1997)
J. Comput. Phys.
, vol.134
, Issue.1
, pp. 169-189
-
-
Thomas, Y.H.1
Wu, X.-H.2
-
17
-
-
0039982148
-
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
-
Thomas Y.H., Wu X.-H., Cai Z.: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comp. 68(227), 913-943 (1999).
-
(1999)
Math. Comp.
, vol.68
, Issue.227
, pp. 913-943
-
-
Thomas, Y.H.1
Wu, X.-H.2
Cai, Z.3
-
20
-
-
54149091405
-
Analysis of the heterogeneous multiscale method for parabolic homogenization problems
-
(electronic)
-
Ming P., Zhang P.: Analysis of the heterogeneous multiscale method for parabolic homogenization problems. Math. Comp. 76(257), 153-177 (2007) (electronic).
-
(2007)
Math. Comp.
, vol.76
, Issue.257
, pp. 153-177
-
-
Ming, P.1
Zhang, P.2
-
21
-
-
0003071531
-
Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I. Error estimates and adaptive algorithms
-
Oden J.T., Vemaganti K.S.: Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I. Error estimates and adaptive algorithms. J. Comput. Phys. 164(1), 22-47 (2000).
-
(2000)
J. Comput. Phys.
, vol.164
, Issue.1
, pp. 22-47
-
-
Oden, J.T.1
Vemaganti, K.S.2
-
22
-
-
33644783757
-
A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems
-
(electronic)
-
Ohlberger M.: A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Multiscale Model. Simul. 4(1), 88-114 (2005) (electronic).
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.1
, pp. 88-114
-
-
Ohlberger, M.1
-
23
-
-
0003292182
-
Mathematical problems in elasticity and homogenization
-
North-Holland Publishing Co., Amsterdam
-
Oleǐnik, O.A., Shamaev, A.S., Yosifian, G.A.: Mathematical problems in elasticity and homogenization. Studies in Mathematics and its Applications, vol. 26. North-Holland Publishing Co., Amsterdam (1992).
-
(1992)
Studies in Mathematics and its Applications
, vol.26
-
-
Oleǐnik, O.A.1
Shamaev, A.S.2
Yosifian, G.A.3
-
25
-
-
13644261985
-
Generalized FEM for homogenization problems
-
Lect. Notes Comput. Sci. Eng., Springer, Berlin
-
Schwab, C., Matache, A.-M.: Generalized FEM for homogenization problems. In: Multiscale and multiresolution methods. Lect. Notes Comput. Sci. Eng., vol. 20, pp. 197-237. Springer, Berlin (2002).
-
(2002)
Multiscale and multiresolution methods
, vol.20
, pp. 197-237
-
-
Schwab, C.1
Matache, A.-M.2
-
27
-
-
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
-
Vemaganti K.S., Oden J.T.: 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. Eng. 190(46-47), 6089-6124 (2001).
-
(2001)
Comput. Methods Appl. Mech. Eng.
, vol.190
, Issue.46-47
, pp. 6089-6124
-
-
Vemaganti, K.S.1
Oden, J.T.2
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