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Volumn 5, Issue 1, 1996, Pages 15-29

The analysis of multigrid algorithms for cell centered finite difference methods

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EID: 25444445861     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02124733     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 84966225317 scopus 로고
    • An optimal order process for solving finite element equations
    • R.E. Bank and T. Dupont, An optimal order process for solving finite element equations, Math. Comp. 36 (1981) 35-51.
    • (1981) Math. Comp. , vol.36 , pp. 35-51
    • Bank, R.E.1    Dupont, T.2
  • 2
    • 0000671861 scopus 로고
    • A new convergence proof for the multigrid method including the V-cycle
    • D. Braess and W. Hackbusch, A new convergence proof for the multigrid method including the V-cycle, SIAM J. Numer. Anal. 20 (1983) 967-975.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 967-975
    • Braess, D.1    Hackbusch, W.2
  • 3
    • 84968476488 scopus 로고
    • The analysis of smoothers for multigrid algorithms
    • J.H. Bramble and J.E. Pasciak, The analysis of smoothers for multigrid algorithms, Math. Comp. 58 (1992) 467-488.
    • (1992) Math. Comp. , vol.58 , pp. 467-488
    • Bramble, J.H.1    Pasciak, J.E.2
  • 4
    • 84968468806 scopus 로고
    • New estimates for multigrid algorithms including the V-cycle
    • J.H. Bramble and J.E. Pasciak, New estimates for multigrid algorithms including the V-cycle, Math. Comp. 60 (1993) 447-471.
    • (1993) Math. Comp. , vol.60 , pp. 447-471
    • Bramble, J.H.1    Pasciak, J.E.2
  • 5
    • 84966249747 scopus 로고
    • Local refinement techniques for elliptic problems on cell-centered grids, I. Error analysis
    • R.E. Ewing, R.D. Lazarov and P.S. Vassilevski, Local refinement techniques for elliptic problems on cell-centered grids, I. Error analysis, Math. Comp. 56 (1991) 437-461.
    • (1991) Math. Comp. , vol.56 , pp. 437-461
    • Ewing, R.E.1    Lazarov, R.D.2    Vassilevski, P.S.3
  • 6
    • 84966255975 scopus 로고
    • Convergence estimates for multigrid algorithms without regularity assumptions
    • J.H. Bramble, J.E. Pasciak, J. Wang and J. Xu, Convergence estimates for multigrid algorithms without regularity assumptions, Math. Comp. 57 (1991) 23-45.
    • (1991) Math. Comp. , vol.57 , pp. 23-45
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 7
    • 84966232695 scopus 로고
    • The analysis of multigrid algorithms with non-nested spaces or non-inherited quadratic forms
    • J.H. Bramble, J.E. Pasciak and J. Xu, The analysis of multigrid algorithms with non-nested spaces or non-inherited quadratic forms, Math. Comp. 56 (1991) 1-34.
    • (1991) Math. Comp. , vol.56 , pp. 1-34
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 8
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary-valued problems
    • A. Brandt, Multi-level adaptive solutions to boundary-valued problems, Math. Comp. 31 (1977) 333-390.
    • (1977) Math. Comp. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 10
    • 0011414514 scopus 로고
    • The speed of convergence of one iterative process
    • R.P. Fedorenko, The speed of convergence of one iterative process, USSR Comp. Math, and Math. Phys. (1961) 1092-1096.
    • (1961) USSR Comp. Math, and Math. Phys. , pp. 1092-1096
    • Fedorenko, R.P.1
  • 12
    • 0002650114 scopus 로고
    • Finite element and finite difference methods for continuous flows in porous media
    • ed. R.E. Ewing SIAM
    • T.F. Russell and M.F. Wheeler, Finite element and finite difference methods for continuous flows in porous media, in: The Mathematics of Reservoir Simulation, ed. R.E. Ewing (SIAM, 1983) pp. 35-106.
    • (1983) The Mathematics of Reservoir Simulation , pp. 35-106
    • Russell, T.F.1    Wheeler, M.F.2
  • 13
    • 0000570696 scopus 로고    scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Review 34 (19xx) 581-613.
    • SIAM Review , vol.34 , Issue.19 XX , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.