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Volumn 34, Issue 6, 1997, Pages 2254-2273

Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients

Author keywords

Convergence; Elliptic equation; Finite difference; Homogenization theory; Multigrid method; Oscillation

Indexed keywords


EID: 0001739202     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995289408     Document Type: Article
Times cited : (35)

References (14)
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  • 3
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    • (1977) Math. Comput. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 5
    • 0141599961 scopus 로고
    • Computation of Oscillatory Solutions for Partial Differential Equations
    • Springer-Verlag, New York
    • B. ENGQUIST, Computation of Oscillatory Solutions for Partial Differential Equations, Lecture Notes in Math. 1270, Springer-Verlag, New York, 1989, pp. 10-22.
    • (1989) Lecture Notes in Math. , vol.1270 , pp. 10-22
    • Engquist, B.1
  • 6
    • 0003266883 scopus 로고
    • Multigrid methods for differential equations with highly oscillatory coefficients
    • Copper Mountain. CO
    • B. ENGQUIST AND E. LUO, Multigrid methods for differential equations with highly oscillatory coefficients, in Proc. 6th Copper Mountain Conference on Multigrid Methods, Copper Mountain. CO, 1993, pp. 175-190.
    • (1993) Proc. 6th Copper Mountain Conference on Multigrid Methods , pp. 175-190
    • Engquist, B.1    Luo, E.2
  • 7
    • 0030529189 scopus 로고    scopus 로고
    • New coarse grid operators of multigrid methods for highly oscillatory coefficient elliptic problems
    • B. ENGQUIST AND E. LUO. New coarse grid operators of multigrid methods for highly oscillatory coefficient elliptic problems, J. Comput. Phys., 129 (1996), pp. 296-306.
    • (1996) J. Comput. Phys. , vol.129 , pp. 296-306
    • Engquist, B.1    Luo, E.2
  • 10
    • 0009243053 scopus 로고
    • Multigrid Methods, Proceedings, Koln-Polrz
    • Springer-Verlag, Berlin, New York
    • W. HACKBUSCH AND U. TROTTENBURG, EDS., Multigrid Methods, Proceedings, Koln-Polrz, Lecture Notes in Math. 960, Springer-Verlag, Berlin, New York, 1982.
    • (1982) Lecture Notes in Math. , vol.960
    • Hackbusch, W.1    Trottenburg, U.2
  • 11
    • 0018673161 scopus 로고
    • Homogenization of elliptic eigenvalue problems: Part 1
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    • (1979) Applied Math. Optim. , vol.5 , pp. 153-167
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  • 13
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    • Error estimates for the numerical solution of elliptic differential equations
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    • (1960) Archive Rational Mech. Anal. , vol.5 , pp. 307-314
    • Nitsche, J.1    Nitsche, J.C.C.2
  • 14
    • 0027874593 scopus 로고
    • First order corrections to the homogenized eigenvalues of a periodic composite medium
    • F. SANTOSA AND M. VOGELIUS, First order corrections to the homogenized eigenvalues of a periodic composite medium, SIAM J. Appl. Math, 53 (1993), pp. 1636-1668.
    • (1993) SIAM J. Appl. Math , vol.53 , pp. 1636-1668
    • Santosa, F.1    Vogelius, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.