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Volumn 49, Issue 180, 1987, Pages 311-329

New convergence estimates for multigrid algorithms

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EID: 84966253230     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1987-0906174-X     Document Type: Article
Times cited : (110)

References (18)
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    • Bank, R.E.1    Douglas, C.C.2
  • 3
    • 84966225317 scopus 로고
    • An optimal order process for solving elliptic finite ele ment equations
    • R. E. BANK, T. F. DUPONT, An optimal order process for solving elliptic finite ele ment equations, " Math. Comp., v. 36, 1981, p. 35-51.
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    • Bank, R.E.1    Dupont, T.F.2
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    • A new convergence proof for the multigrid method including the K-cycle
    • D. BRAESS, W. HACKBUSCH, A new convergence proof for the multigrid method including the K-cycle, " SIAMJ. Numer. Anal., v. 20, 1983, p. 967-975.
    • (1983) SIAMJ. Numer. Anal , vol.20 , pp. 967-975
    • Braess, D.1    Hackbusch, W.2
  • 5
    • 84966233568 scopus 로고
    • Multi level adaptive solutions to boundary value problems
    • A. BRANDT, Multi level adaptive solutions to boundary value problems, Math. Comp., v. 31, 1977, p. 333-390.
    • (1977) Math. Comp , vol.31 , pp. 333-390
    • Brandt, A.1
  • 7
    • 0000762041 scopus 로고
    • An approximate factorization pro cedure for solving self adjoint elliptic difference equations
    • T. Dupont, R. P. Kendall, H. H. Rachford, An approximate factorization pro cedure for solving self adjoint elliptic difference equations, " SIAM J. Numer. Anal., v. 5, 1968, p. 559-573.
    • (1968) SIAM J. Numer. Anal , vol.5 , pp. 559-573
    • Dupont, T.1    Kendall, R.P.2    Rachford, H.H.3
  • 8
    • 0011414514 scopus 로고
    • The speed of convergence of one iterative process
    • R. P. FEDORENKO, The speed of convergence of one iterative process, USSR Comput. Math, and Math. Phys., v. 1, 1961, p. 1092-1096.
    • (1961) USSR Comput , vol.1 , pp. 1092-1096
    • Fedorenko, R.P.1
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  • 12
    • 38249038871 scopus 로고
    • Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
    • J. MANDEL, Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step, " in Proc. Copper Mtn. Conf. Multigrid Methods, Applied Math. Comput., 1986, p. 201-216.
    • (1986) Proc. Copper Mtn. Conf. Multigrid Methods, Applied Math. Comput , pp. 201-216
    • Mandel, J.1
  • 13
    • 84966228586 scopus 로고    scopus 로고
    • Algebraic study of multigrid methods for symmetric
    • J. MANDEL, Algebraic study of multigrid methods for symmetric, definite prob lems. " (Preprint)
    • Definite Prob
    • Mandel, J.1
  • 15
    • 0021417959 scopus 로고
    • S. F. McCORMICK, Multigrid methods for variational problems: Further results, SIAMJ. Numer. Anal., v. 21, 1984, p. 255-263.
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    • McCormick, S.F.1
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    • S. F. McCORMICK, Multigrid methods for variational problems General theory for the V cycle, " SIAMJ. Numer. Anal, v. 22, 1985, p. 634-643.
    • (1985) SIAMJ. Numer. Anal , vol.22 , pp. 634-643
    • McCormick, S.F.1
  • 18
    • 84966237056 scopus 로고
    • R. A. NlCOLAIDES, On the l2 convergence of an algorithm for solving finite element equations, Math. Comp., 31, 1977, 892-906.
    • (1977) Math. Comp , vol.31 , pp. 892-906
    • Nicolaides, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.