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Volumn 103, Issue 1, 2006, Pages 11-45

Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains

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EID: 33644771441     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0668-4     Document Type: Article
Times cited : (55)

References (19)
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    • Allaire, G.1    Murat, F.2
  • 3
    • 18144364445 scopus 로고    scopus 로고
    • Multiscale problems in science and technology
    • Antonié, N.: et al. (eds.) Springer-Verlag, Berlin
    • Antonié, N.: et al. (eds.) Multiscale Problems in Science and Technology, Challenges to Mathematical Analysis and Perspectives, Springer-Verlag, Berlin, 2002
    • (2002) Challenges to Mathematical Analysis and Perspectives
  • 5
    • 0842346777 scopus 로고    scopus 로고
    • Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
    • Cao, L.Q., Cui, J.Z.: Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains, Numer. Math. 96, 525-581 (2004)
    • (2004) Numer. Math. , vol.96 , pp. 525-581
    • Cao, L.Q.1    Cui, J.Z.2
  • 6
    • 7244219756 scopus 로고    scopus 로고
    • Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients
    • Cao, L.Q.: Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients, Math. Models & Meth. Appl. Sci. 14(3), 417-437 (2004)
    • (2004) Math. Models & Meth. Appl. Sci. , vol.14 , Issue.3 , pp. 417-437
    • Cao, L.Q.1
  • 8
    • 0037414944 scopus 로고    scopus 로고
    • Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients
    • Conca, C., Natesan, S.: Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients. Comput. Methods. Appl. Mech. Engrg. 192, 47-76 (2003)
    • (2003) Comput. Methods. Appl. Mech. Engrg. , vol.192 , pp. 47-76
    • Conca, C.1    Natesan, S.2
  • 12
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    • Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain
    • (B. Hubbard Editor) Academic Press, New York
    • Grisvard, P.: Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain, Numerical Solution of Partial Differential Equations-III (B. Hubbard Editor) Academic Press, New York, 1976 pp. 207-274
    • (1976) Numerical Solution of Partial Differential Equations-III , pp. 207-274
    • Grisvard, P.1
  • 14
    • 0039982148 scopus 로고    scopus 로고
    • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
    • Hou, T.Y., Wu, X.H., Cai, Z.: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comp. 68, 913-943 (1999)
    • (1999) Math. Comp. , vol.68 , pp. 913-943
    • Hou, T.Y.1    Wu, X.H.2    Cai, Z.3
  • 17
    • 0000464597 scopus 로고
    • Asymptotic expansions in perforated media with a periodic structure
    • Lions, J.L.: Asymptotic expansions in perforated media with a periodic structure. The Rocky Mountain J. Math. 10(1), 125-144 (1980)
    • (1980) The Rocky Mountain J. Math. , vol.10 , Issue.1 , pp. 125-144
    • Lions, J.L.1
  • 19
    • 0003967442 scopus 로고
    • Oxford University Press, New York, Oxford
    • Walker, J.S.: Fourier Analysis, Oxford University Press, New York, Oxford, 1988
    • (1988) Fourier Analysis
    • Walker, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.