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Volumn 5, Issue 2-4, 2009, Pages 398-412

Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods

Author keywords

Schwarz preconditioners; Super penalty discontinuous Galerkin methods

Indexed keywords


EID: 61349089847     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (25)

References (13)
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    • Antonietti, P.F.1    Ayuso, B.2
  • 3
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    • Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems
    • P. F. Antonietti and B. Ayuso, Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems, Math. Model. Numer. Anal., 42(3) (2008), 443-469.
    • (2008) Math. Model. Numer. Anal , vol.42 , Issue.3 , pp. 443-469
    • Antonietti, P.F.1    Ayuso, B.2
  • 4
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous elements
    • D. N. Arnold, An interior penalty finite element method with discontinuous elements, SIAM J. Numer. Anal., 19(4) (1982), 742-760.
    • (1982) SIAM J. Numer. Anal , vol.19 , Issue.4 , pp. 742-760
    • Arnold, D.N.1
  • 5
    • 0001537143 scopus 로고
    • Nonconforming elements in the finite element method with penalty
    • I. Babuška and M. Zlámal, Nonconforming elements in the finite element method with penalty, SIAM J. Numer. Anal., 10 (1973), 863-875.
    • (1973) SIAM J. Numer. Anal , vol.10 , pp. 863-875
    • Babuška, I.1    Zlámal, M.2
  • 6
    • 34447095908 scopus 로고    scopus 로고
    • A W-cycle algorithm for a weakly over-penalized interior penalty method
    • S. C. Brenner and L. Owens, A W-cycle algorithm for a weakly over-penalized interior penalty method, Comput. Methods Appl. Mech. Engrg., 196(37-40) (2007), 3823-3832.
    • (2007) Comput. Methods Appl. Mech. Engrg , vol.196 , Issue.37-40 , pp. 3823-3832
    • Brenner, S.C.1    Owens, L.2
  • 7
    • 42549155274 scopus 로고    scopus 로고
    • S. C. Brenner and L. Owens, A weakly over-penalized non-symmetric interior penalty method, JNAIAM J. Numer. Anal. Ind. Appl. Math., 2(1-2) (2007), 35-48.
    • S. C. Brenner and L. Owens, A weakly over-penalized non-symmetric interior penalty method, JNAIAM J. Numer. Anal. Ind. Appl. Math., 2(1-2) (2007), 35-48.
  • 9
    • 0027640852 scopus 로고
    • Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems
    • X-C. Cai and O. B. Widlund, Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems, SIAM J. Numer. Anal., 30(4) (1993), 936-952.
    • (1993) SIAM J. Numer. Anal , vol.30 , Issue.4 , pp. 936-952
    • Cai, X.-C.1    Widlund, O.B.2
  • 10
    • 0037252566 scopus 로고    scopus 로고
    • Performance of discontinuous Galerkin methods for elliptic PDEs
    • electronic
    • P. Castillo, Performance of discontinuous Galerkin methods for elliptic PDEs, SIAM J. Sci. Comput., 24(2) (2002), 524-547 (electronic).
    • (2002) SIAM J. Sci. Comput , vol.24 , Issue.2 , pp. 524-547
    • Castillo, P.1
  • 12
    • 0041419444 scopus 로고    scopus 로고
    • Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems
    • electronic
    • X. Feng and O. A. Karakashian, Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems, SIAM J. Numer. Anal., 39(4) (2001), 1343-1365 (electronic).
    • (2001) SIAM J. Numer. Anal , vol.39 , Issue.4 , pp. 1343-1365
    • Feng, X.1    Karakashian, O.A.2
  • 13
    • 33745298485 scopus 로고    scopus 로고
    • Domain Decomposition Methods-Algorithms and Theory
    • Springer-Verlag, Berlin
    • A. Toselli and O. Widlund, Domain Decomposition Methods-Algorithms and Theory, Series in Computational Mathematics, vol. 34, Springer-Verlag, Berlin, 2005.
    • (2005) Series in Computational Mathematics , vol.34
    • Toselli, A.1    Widlund, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.