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Volumn 22, Issue 6, 2006, Pages 577-589

Numerical boundary corrector for elliptic equations with rapidly oscillating periodic coefficients

Author keywords

Elliptic equations; Finite elements; Homogenization; Multi scaling

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; MATRIX ALGEBRA;

EID: 33745602737     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.834     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0039982148 scopus 로고    scopus 로고
    • Convergence of multi-scale finite element method for elliptic problems with rapidly oscillating coefficients
    • Hou T, Wu XH, Cai Z. Convergence of multi-scale finite element method for elliptic problems with rapidly oscillating coefficients. Mathematics of Computation 1999; 68:913-943.
    • (1999) Mathematics of Computation , vol.68 , pp. 913-943
    • Hou, T.1    Wu, X.H.2    Cai, Z.3
  • 2
    • 0001485798 scopus 로고
    • Solution of interface problem by homogenization I, II, III
    • and 1977; 8:923-937
    • Babuska I. Solution of interface problem by homogenization I, II, III. SIAM Journal on Mathematical Analysis 1976; 7:603-634 and 1977; 8:923-937.
    • (1976) SIAM Journal on Mathematical Analysis , vol.7 , pp. 603-634
    • Babuska, I.1
  • 5
    • 0031161210 scopus 로고    scopus 로고
    • A Multi-scale finite element method for elliptic problems in composite materials and porous media
    • Hou T, Wu XH. A Multi-scale finite element method for elliptic problems in composite materials and porous media. Journal of Computational Physics 1997; 134:169-189.
    • (1997) Journal of Computational Physics , vol.134 , pp. 169-189
    • Hou, T.1    Wu, X.H.2
  • 6
    • 33745610899 scopus 로고    scopus 로고
    • A multiscale finite element method for numerical homogenization
    • Internal Report, CMAP, Ecole Polytechnique
    • Allaire G, Brizzi R. A multiscale finite element method for numerical homogenization. Internal Report, CMAP, Ecole Polytechnique, 2004; 545.
    • (2004) , pp. 545
    • Allaire, G.1    Brizzi, R.2
  • 7
    • 0003332875 scopus 로고    scopus 로고
    • Interacting with the subgrid world
    • Dundee, Scotland, 1999, Griffiths DF, Watson GA (eds). Chapman & Hall /CRC: New York/Boca Raton, FL
    • Brezzi F. Interacting with the subgrid world. In Proceedings of the Conference on Numerical Analysis, Dundee, Scotland, 1999, Griffiths DF, Watson GA (eds). Chapman & Hall/CRC: New York/Boca Raton, FL, 2000; 69-82.
    • (2000) Proceedings of the Conference on Numerical Analysis , pp. 69-82
    • Brezzi, F.1
  • 8
    • 18444389215 scopus 로고    scopus 로고
    • 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 Journal on Numerical Analysis 2004; 42:576-598.
    • (2004) SIAM Journal on Numerical Analysis , vol.42 , pp. 576-598
    • Arbogast, T.1
  • 9
    • 3042732038 scopus 로고    scopus 로고
    • Capturing small scales in elliptic problems using a residual-free bubbles finite element method
    • Sangalli G. Capturing small scales in elliptic problems using a residual-free bubbles finite element method. SIAM Multi-scale Modelling Simulation 2003; 1:485-503.
    • (2003) SIAM Multi-scale Modelling Simulation , vol.1 , pp. 485-503
    • Sangalli, G.1
  • 12
    • 0000741301 scopus 로고
    • Finite difference approximations for partial differential equations with rapidly oscillating coefficients
    • Avellaneda M, Hou T, Papanicolaou G. Finite difference approximations for partial differential equations with rapidly oscillating coefficients. Mathematical Modelling and Numerical Analysis 1991; 25:693-710.
    • (1991) Mathematical Modelling and Numerical Analysis , vol.25 , pp. 693-710
    • Avellaneda, M.1    Hou, T.2    Papanicolaou, G.3
  • 13
    • 33747491187 scopus 로고    scopus 로고
    • First-order corrections to the homogenized eigenvalues of a periodic composite medium. A convergence proof
    • Moscow S, Vogelius M. First-order corrections to the homogenized eigenvalues of a periodic composite medium. A convergence proof. Proceedings of the Royal Society of Edinburgh 1997; 127A:1263-1299.
    • (1997) Proceedings of the Royal Society of Edinburgh , vol.127 A , pp. 1263-1299
    • Moscow, S.1    Vogelius, M.2
  • 16
    • 84880386273 scopus 로고    scopus 로고
    • Convergence analysis of numerical boundary correctors for elliptic equations with rapidly oscillating periodic coefficients
    • in press
    • Sarkis M, Versieux HM. Convergence analysis of numerical boundary correctors for elliptic equations with rapidly oscillating periodic coefficients, in press.
    • Sarkis, M.1    Versieux, H.M.2
  • 18
    • 33745631513 scopus 로고    scopus 로고
    • An operator-based approach to upscaling the pressure equation
    • Bentley L, Sykes J, Brebbia C, Gray W, Pinder G (eds). Balkema: Rotterdam
    • Arbogast T, Minkoff S, Keenan P. An operator-based approach to upscaling the pressure equation. In Computation Methods in Water Resources XII, Bentley L, Sykes J, Brebbia C, Gray W, Pinder G (eds). Balkema: Rotterdam, 2000; 161-166.
    • (2000) Computation Methods in Water Resources XII , pp. 161-166
    • Arbogast, T.1    Minkoff, S.2    Keenan, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.