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Volumn 43, Issue 5, 2003, Pages 945-959

Why restricted additive Schwarz converges faster than additive Schwarz

Author keywords

Additive Schwarz; Domain decomposition; Multiplicative Schwarz; Restricted additive Schwarz; Restricted multiplicative Schwarz

Indexed keywords


EID: 4043077709     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000014563.33622.1d     Document Type: Article
Times cited : (85)

References (20)
  • 1
    • 4043122203 scopus 로고    scopus 로고
    • A restricted additive Schwarz preconditioner with harmonic overlap for symmetric positive definite linear systems
    • Submitted
    • X. C. Cai, M. Dryja, and M. Sarkis, A restricted additive Schwarz preconditioner with harmonic overlap for symmetric positive definite linear systems, SIAM J. Sci. Comp., 2002. Submitted.
    • (2002) SIAM J. Sci. Comp.
    • Cai, X.C.1    Dryja, M.2    Sarkis, M.3
  • 2
    • 0002645449 scopus 로고    scopus 로고
    • A minimum overlap restricted additive Schwarz preconditioner and applications to 3D flow simulations
    • X.-C. Cai, C. Farhat, and M. Sarkis, A minimum overlap restricted additive Schwarz preconditioner and applications to 3D flow simulations, Contemp. Math., 218 (1998), pp. 479-485.
    • (1998) Contemp. Math. , vol.218 , pp. 479-485
    • Cai, X.-C.1    Farhat, C.2    Sarkis, M.3
  • 3
    • 0033295858 scopus 로고    scopus 로고
    • A restricted additive Schwarz preconditioner for general sparse linear systems
    • X.-C. Cai and M. Sarkis, A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM J. Sci. Comput., 21 (1999), pp. 239-247.
    • (1999) SIAM J. Sci. Comput. , vol.21 , pp. 239-247
    • Cai, X.-C.1    Sarkis, M.2
  • 4
    • 84974325009 scopus 로고
    • Domain decomposition algorithms
    • Cambridge University Press
    • T. F. Chan and T. P. Mathew, Domain decomposition algorithms, in Acta Numerica 1994, Cambridge University Press, 1994, pp. 61-143.
    • (1994) Acta Numerica 1994 , pp. 61-143
    • Chan, T.F.1    Mathew, T.P.2
  • 5
    • 4043100789 scopus 로고    scopus 로고
    • A characteristic domain decomposition method for modeling flow in a coastal aquifier
    • P. E. Bjørstad, M. S. Espedal, and D. E. Keyes (eds.). ddm.org
    • H. K. Dahle, T. O. W. Johansen, T. Botnen, and X.-C. Tai, A characteristic domain decomposition method for modeling flow in a coastal aquifier, in P. E. Bjørstad, M. S. Espedal, and D. E. Keyes (eds.), Ninth International Conference on Domain Decomposition Methods, pp. 698-707. ddm.org, 1998.
    • (1998) Ninth International Conference on Domain Decomposition Methods , pp. 698-707
    • Dahle, H.K.1    Johansen, T.O.W.2    Botnen, T.3    Tai, X.-C.4
  • 8
    • 0033465847 scopus 로고    scopus 로고
    • Weighted max norms, splittings, and overlapping additive Schwarz iterations
    • A. Frommer and D. B. Szyld, Weighted max norms, splittings, and overlapping additive Schwarz iterations, Numer. Math., 83 (1999), pp. 259-278.
    • (1999) Numer. Math. , vol.83 , pp. 259-278
    • Frommer, A.1    Szyld, D.B.2
  • 9
    • 0035322534 scopus 로고    scopus 로고
    • An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms
    • A. Frommer and D. B. Szyld, An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms, SIAM J. Numer. Anal., 39 (2001), pp. 463-479.
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 463-479
    • Frommer, A.1    Szyld, D.B.2
  • 13
    • 0003047703 scopus 로고
    • On the Schwarz alternating method. II
    • T. Chan, R. Glowinski, J. Périaux, and O. Widlund (eds.), SIAM, Philadelphia, PA
    • P.-L. Lions, On the Schwarz alternating method. II, in T. Chan, R. Glowinski, J. Périaux, and O. Widlund (eds.), Domain Decomposition Methods, SIAM, Philadelphia, PA, 1989, pp. 47-70.
    • (1989) Domain Decomposition Methods , pp. 47-70
    • Lions, P.-L.1
  • 14
    • 4043091030 scopus 로고    scopus 로고
    • Convergence theory of restricted multiplicative Schwarz methods
    • Temple University, May
    • R. Nabben and D. B. Szyld, Convergence theory of restricted multiplicative Schwarz methods, Technical Report 01-5-17, Temple University, May 2001.
    • (2001) Technical Report 01-5-17
    • Nabben, R.1    Szyld, D.B.2
  • 15
    • 0001324833 scopus 로고
    • Multi-splittings of matrices and parallel solution of linear systems
    • D. P. O'Leary and R. E. White, Multi-splittings of matrices and parallel solution of linear systems, SIAM J. Alg. Disc. Meth., 6 (1985), pp. 630-640.
    • (1985) SIAM J. Alg. Disc. Meth. , vol.6 , pp. 630-640
    • O'Leary, D.P.1    White, R.E.2
  • 16
    • 0034647011 scopus 로고    scopus 로고
    • A scaled and minimun overlap restricted additive Schwarz method with application on aerodynamics
    • M. Sarkis and B. Koobus, A scaled and minimun overlap restricted additive Schwarz method with application on aerodynamics, Comp. Meth. Appl. Mech. and Eng., 184 (2000), pp. 391-400.
    • (2000) Comp. Meth. Appl. Mech. and Eng. , vol.184 , pp. 391-400
    • Sarkis, M.1    Koobus, B.2
  • 19
    • 0040367079 scopus 로고    scopus 로고
    • A space decomposition method for parabolic equations
    • X.-C. Tai, A space decomposition method for parabolic equations, Numer. Method for Part. Diff. Equat., 14(1) (1998), pp. 27-46.
    • (1998) Numer. Method for Part. Diff. Equat. , vol.14 , Issue.1 , pp. 27-46
    • Tai, X.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.