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Volumn 222, Issue 2, 2007, Pages 556-572

The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size

Author keywords

Boundary conditions; Composite materials; Effective coefficients; Heterogeneous media; Heterogeneous multiscale methods; Multiscale modeling; Scale effects

Indexed keywords

ANISOTROPIC MEDIA; POROUS MATERIALS;

EID: 33847119952     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.07.034     Document Type: Article
Times cited : (100)

References (13)
  • 1
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: Methodology and application
    • Abraham F.F., Broughton J.Q., Bernstein N., and Kaxiras E. Concurrent coupling of length scales: Methodology and application. Phys. Rev. B 60 (1999) 2391-2402
    • (1999) Phys. Rev. B , vol.60 , pp. 2391-2402
    • Abraham, F.F.1    Broughton, J.Q.2    Bernstein, N.3    Kaxiras, E.4
  • 3
    • 1542714643 scopus 로고    scopus 로고
    • Approximations of effective coefficients in stochastic homogenization
    • Bourgeat A., and Piatnitski A. Approximations of effective coefficients in stochastic homogenization. Ann. Inst. H. Poincaré Probab. Stat. 40 (2004) 153-165
    • (2004) Ann. Inst. H. Poincaré Probab. Stat. , vol.40 , pp. 153-165
    • Bourgeat, A.1    Piatnitski, A.2
  • 4
    • 84944838250 scopus 로고
    • Numerical-calculation of equivalent grid block permeability tensors for heterogeous porous media
    • Durlofsky L.J. Numerical-calculation of equivalent grid block permeability tensors for heterogeous porous media. Water Resour. Res. 27 (1991) 699-708
    • (1991) Water Resour. Res. , vol.27 , pp. 699-708
    • Durlofsky, L.J.1
  • 5
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multiscale methods
    • E W., and Engquist B. The heterogeneous multiscale methods. Commun. Math. Sci. 1 (2003) 87-132
    • (2003) Commun. Math. Sci. , vol.1 , pp. 87-132
    • E, W.1    Engquist, B.2
  • 6
    • 85190307887 scopus 로고    scopus 로고
    • W. E, B. Engquist, X. Li, W. Ren, E. Vanden-Eijnden, The heterogeneous multiscale method: a review, 2005. Available from (http://www.math.princeton.edu/multiscale).
  • 7
    • 13644268174 scopus 로고    scopus 로고
    • Analysis of the heterogeneous multiscale method for elliptic homogenization problems
    • E W., Ming P., and Zhang P. Analysis of the heterogeneous multiscale method for elliptic homogenization problems. J. Am. Math. Soc. 18 (2005) 121-156
    • (2005) J. Am. Math. Soc. , vol.18 , pp. 121-156
    • E, W.1    Ming, P.2    Zhang, P.3
  • 8
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • Fritz J., et al. (Ed), North-Holland, Amsterdam
    • Papanicolaou G.C., and Varadhan S.R.S. Boundary value problems with rapidly oscillating random coefficients. In: Fritz J., et al. (Ed). Random Fields 27 (1981), North-Holland, Amsterdam 835-873
    • (1981) Random Fields , vol.27 , pp. 835-873
    • Papanicolaou, G.C.1    Varadhan, S.R.S.2
  • 9
    • 0032661576 scopus 로고    scopus 로고
    • Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites
    • Pecullan S., Gibiansky L.V., and Torquato S. Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites. J. Mech. Phys. Solids 47 (1999) 1509-1542
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1509-1542
    • Pecullan, S.1    Gibiansky, L.V.2    Torquato, S.3
  • 11
    • 0742305777 scopus 로고    scopus 로고
    • Use of border regions for improved permeability upscaling
    • Wen X.H., Durlofsky L.J., and Edwards M.G. Use of border regions for improved permeability upscaling. Math. Geol. 35 (2003) 521-547
    • (2003) Math. Geol. , vol.35 , pp. 521-547
    • Wen, X.H.1    Durlofsky, L.J.2    Edwards, M.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.