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Volumn 19, Issue 1, 1999, Pages 1-18

Schur complement preconditioners for anisotropic problems

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; NUMERICAL METHODS; PROBES;

EID: 0033248362     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.1.1     Document Type: Article
Times cited : (9)

References (20)
  • 3
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • BJØRSTAD, P. E., & WIDLUND, O. 1986 Iterative methods for the solution of elliptic problems on regions partitioned into substructures. SIAM J. Numer. Anal. 23, 1097-1121.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1097-1121
    • Bjørstad, P.E.1    Widlund, O.2
  • 4
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring I
    • BRAMBLE, J., PASCIAK, J., & SCHATZ, J. 1986 The construction of preconditioners for elliptic problems by substructuring I. Math. Comput. 47, 103-134.
    • (1986) Math. Comput. , vol.47 , pp. 103-134
    • Bramble, J.1    Pasciak, J.2    Schatz, J.3
  • 5
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary-value problems
    • BRANDT, A. 1977 Multi-level adaptive solutions to boundary-value problems. Math. Comput. 31, 333-390.
    • (1977) Math. Comput. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 7
    • 0000413963 scopus 로고
    • The interface probing technique in domain decomposition
    • CHAN, T. F. & MATHEW, T. P. 1992 The interface probing technique in domain decomposition. SIAM J. Matrix Anal. Applic. 13, 212-238.
    • (1992) SIAM J. Matrix Anal. Applic. , vol.13 , pp. 212-238
    • Chan, T.F.1    Mathew, T.P.2
  • 9
    • 0026976847 scopus 로고
    • Fourier and probe variants of the vertex space domain decomposition algorithm
    • (D. Keyes, T. Chan, G. Meurant, J. Scroggs and R. Voigt, eds). Philadelphia: SIAM
    • CHAN, T., MATHEW, T., & SHAO, J.-P. 1992 Fourier and probe variants of the vertex space domain decomposition algorithm. Fifth Int. Symp. on Domain Decomposition Methods for Partial Differential Equations (D. Keyes, T. Chan, G. Meurant, J. Scroggs and R. Voigt, eds). Philadelphia: SIAM, pp 236-249.
    • (1992) Fifth Int. Symp. on Domain Decomposition Methods for Partial Differential Equations , pp. 236-249
    • Chan, T.1    Mathew, T.2    Shao, J.-P.3
  • 10
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear systems
    • DUFF, I. S. & REID, J. K. 1983 The multifrontal solution of indefinite sparse symmetric linear systems. Trans. Math. Software 9, 302-325.
    • (1983) Trans. Math. Software , vol.9 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 13
    • 0003064896 scopus 로고
    • The use of preconditioning over irregular regions
    • (R. Glowinski and J. L. Lions, eds). Amsterdam: North-Holland, Proceedings of a conference held in Versailles, France, 12-16 December 1983
    • GOLUB, G. & MAYERS, D. 1984 The use of preconditioning over irregular regions. Computing Methods in Applied Sciences and Engineering VI (R. Glowinski and J. L. Lions, eds). Amsterdam: North-Holland, pp 3-14. [Proceedings of a conference held in Versailles, France, 12-16 December 1983.]
    • (1984) Computing Methods in Applied Sciences and Engineering VI , pp. 3-14
    • Golub, G.1    Mayers, D.2
  • 15
    • 0030541081 scopus 로고    scopus 로고
    • Robust iterative methods for elliptic problems with highly varying coefficients in thin structures
    • KHOROMSKIJ, B. & WITTUM, G. 1996 Robust iterative methods for elliptic problems with highly varying coefficients in thin structures. Numer. Math. 73, 449-472.
    • (1996) Numer. Math. , vol.73 , pp. 449-472
    • Khoromskij, B.1    Wittum, G.2
  • 16
    • 0009175233 scopus 로고    scopus 로고
    • Robust Schur complement method for strongly anisotropic elliptic equations
    • Technical Report Preprint ICA 3, 97/1, University of Stuttgart
    • KHOROMSKIJ, B. & WITTUM, G. 1997 Robust Schur complement method for strongly anisotropic elliptic equations. Technical Report Preprint ICA 3, 97/1, University of Stuttgart. Submitted to J. Numer. Lin. Alg. Applic.
    • (1997) J. Numer. Lin. Alg. Applic.
    • Khoromskij, B.1    Wittum, G.2
  • 17
    • 0027558407 scopus 로고
    • Balancing domain decomposition
    • MANDEL, J. 1993 Balancing domain decomposition. Commun. Numer. Methods Eng. 9, 233-241.
    • (1993) Commun. Numer. Methods Eng. , vol.9 , pp. 233-241
    • Mandel, J.1
  • 20
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • Xu, J. 1992 Iterative methods by space decomposition and subspace correction. SIAM Rev. 34, 581-613.
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.